a letter from the president dear readers, we are pleased to announce the 13th edition of the columbia undergraduate science journal. cusj’s dual mission is to publish high quality student research in our journals and to promote scientific research among students and introduce students into the scientific research community. in both regards, we have expanded and improved our efforts, and i am incredibly proud of all we’ve accomplished. we grew a lot as an organization, doubling the size of our editorial board and creating a general body for all students at columbia to be able to be involved with the cusj community. general body members participated in a mentorship program, journal club meetings, and other social events throughout the year. we focused our efforts on building community and providing resources for stem students. we hosted events that focused on student and professor research, mental health, resume editing, graduate school, finding summer research opportunities, grant writing, science in the media, and much more. over 30 student researchers presented their original research at our annual symposium and heard from keynote speakers on our faculty advisory board hugh ducklow, gerard parkin, kyle mandli, marko jovanovic, and patricia lindemann about the importance of undergraduate research. on the editorial side, we started a blog for student-written articles that synthesize recent and novel research. we are accepting submissions for blog articles from everyone, so if you are interested please visit the submissions page. both of our journals received more than twice as many submissions as the previous year, and after revamping our editing process, the research that we are publishing is impressive, rigorous, and advanced beyond what we’ve ever seen. the columbia junior science journal published original papers by advanced high school students across the country, and in this edition of the columbia undergraduate science journal, there are articles by undergraduate researchers from some of the top universities in north america. thank you for your support of cusj and the student research community, and we look forward to another great year next year. micah gay president, cusj a letter from the editor-in-chief kenneth pham department of biological sciences, columbia university dear readers, as the academic year once again comes to a close, we are thrilled to present the 2018 columbia undergraduate science journal. this year, we have redoubled our efforts to focus our journal to highlight undergraduate research and scientific thought. to that end, we believe that our new editorial and formatting guidelines have improved the process and product. in addition, submissions to our other publication, the columbia junior science journal amazed us with the passion and excitement of high school students and the quality and incisiveness of their research. we look forward to continuing to improve this journal for future submitters. on campus, here at columbia university, cusj has vigorously continued to create and support an undergraduate research community. to that end, we have worked to broaden our reach and scope. for example, cusj, in co-sponsorship with the columbia university chapter of the american physician scientists association and the charles drew premedical society at columbia university, hosted a panel discussion with md, phd and md/phd students about graduate degrees in the sciences. we also maintained our glucose and caffeine study break series, hosted speakers such as bioethicist, dr. john loike, and had our annual spring symposium. our symposium is an open, accessible forum for a diverse array of researchers to present their work. we also continued our annual “how to get involved with undergraduate research?” event. cusj wants to encourage and support undergraduates in scientific research, especially those who are seeking their first experience. fundamentally, cusj will continue to do so while importantly https://journals.cdrs.columbia.edu/cusj/authors/kenneth-pham/ http://creativecommons.org/licenses/by/4.0/ keeping in mind the pressing inequities in access and opportunities, the powerful force of community and mentorship, and the role science plays in our society. it would be impossible to undertake this goal alone, and i have to thank the staff for their tireless dedication and hard work throughout the year. finally, i wanted to close my letter by sharing a passage from a cell commentary published by the lab of victor ambros, reflecting on their discovery of micrornas, for your consideration. for me, this quotation encapsulates so much about what makes science research so powerful and so meaningful as an intellectual endeavor, and i hope that it will inspire you too. “the intellectual backdrop motivating our effort to clone lin-4 (lee et al., 1993) had nothing to do with questions about noncoding rnas or antisense gene regulation. we were simply curious about an interesting worm mutant, and everything we found out about it was unexpected. we consider ourselves very lucky to happen to have chosen lin-4 to study. in fact, good fortune appeared at many steps before and during our lin-4 project, often through the contributions of other people” (lee et al., 2004). kenneth pham editor-in-chief lee, r., feinbaum, r. & ambros, v. a short history of a short rna. cell 116, s89-92, 81 p following s96 (2004). microsoft word document3 article volume 2, spring 2007 the effects of neuregulin on synapse formation in primary muscle/nerve co-cultures jessica walsh1, mary a mann2, gerald fischbach2 1 columbia college, columbia university, 2 department of pharmacology, columbia university abstract in development, motor neurons innervate maturing myotubes to form the neuromuscular junction (nmj). during this process, the nerve terminal secretes a protein called neuregulin (nrg1). nrg1 acts as a signal which increases the number of acetylcholine receptors (achrs) on the postsynaptic membrane. nrg1 binds to receptors on the surface of the muscle, known as erbb receptors. the binding of nrg1 causes the erbb receptor to auto-phosphorylate (fu, 1999). as a result, there is an increase in transcription of the gene for achrs, integral membrane proteins that respond to the binding of the neurotransmitter acetylcholine. in order to study the effects of nrg1 on early stages of synapse formation, we prepared co-cultures of dissociated muscle cells from postnatal day 1 (p1) mice and neural tube explants from embryonic day 11 (e11) mice. silicone chambers were created as a system for growing dissociated muscle cells and neuronal explants in co-culture (loeb, 1999). erbb inhibitor (pd 158780) was added to chambers prior to the formation of the nmj. after one week the tissue was fixed and stained to visualize the synapses. based on the results of two experiments, the chambers that were not treated with the inhibitor had an average of 10 times more achr (+) contacts. therefore, at the time point studied, it appears that nrg1 signaling through the erbb receptor tyrosine kinases is necessary for the formation of achr (+) receptor contacts at the motor terminal in the post-synaptic membrane. microsoft word cusj_spring_2015_journal.docx !cusj%|%volume%9%|%spring%2015% 8% addicted to adderall osman moneer1, jacqueline lawson2, julia joern3 & theresa mensah4 1department of chemistry, columbia university, new york, ny, usa; 2department of neuroscience, columbia university, new york, ny, usa; 3department of biomedical engineering, columbia university, new york, ny, usa; 4department of biochemistry, columbia university, new york, ny, usa 1 in college student’s everyday struggle of completing assignment after assignment, the au naturel approach doesn’t always cut it. substances are often used to bridge the gap to allow students to meet the ideal level of academic rigor while maintaining a desired lifestyle. in the realm of “study drugs,” caffeine plays a significant role, keeping students awake and alert, but adderall reigns supreme. intended to alleviate difficulties associated with attention deficit hyperactive disorder (adhd), adderall touts a greater focus and increased alertness. but, defining and diagnosing adhd is a fairly difficult and subjective process. the national institute of mental health states that those with adhd may experience symptoms such as “difficulty staying focused and paying attention, difficulty controlling behavior, and hyperactivity (over-activity),” but provides no explanation as to its causes. the lack of understanding surrounding adhd, given its unknown origins and vague symptoms yields issues in diagnosing adhd and determining who actually needs to use the drugs designed for it. because of this confusion, adderall is one of the most commonly used drugs by college students, who often lack even a prescription to justify their use. 30% of students abuse adhd medication such as adderall, and an estimated 81% of students believe adhd medication is not dangerous. students like adderall because it makes them “smarter,” and if negative consequences of the drug are this unclear, who wouldn’t want this additional focus? ethical considerations aside – what are we to make of this? how does adderall interact biochemically and is it detrimental to one’s health? adderall is a chemical compound made up of different portions of amphetamine salts. it is composed of ¼ racemic amphetamine aspartate monohydrate, ¼ dextroamphetamine saccharin, ¼ dextroamphetamine sulfate, and ¼ racemic amphetamine sulfate. amphetamines are psychostimulants and target neurotransmitters of the central nervous system. before we can understand how adderall works in the body, we need to know a few things about neurotransmitters. neurotransmitters are chemical messengers responsible for a range of everyday life functions. popular neurotransmitters include dopamine, serotonin, norepinephrine, epinephrine, histamine, melatonin, and endorphins. we don’t usually consider it, but, in reality, our actions are simply dictated by a series of biochemical interactions going on in our bodies. this gives drugs that can control and alter these interactions significant power in affecting behavior. 2 adderall primarily functions by targeting activity of the neurotransmitters dopamine and norepinephrine in the brain. dopamine is, in part, responsible for pleasures related to motivation, emotional states, and internal reward systems. norepinephrine is related to focus and alertness levels. it’s evident that these neurotransmitters might be implicated in adhd, and increasing amounts of them seems a reasonable approach to counteract issues related to one’s attention. if the main effect of adderall is an increase in attention capacities and greater mental stimulation – it’s not hard to see why it might be taken as a method of efficient studying. greater dopamine concentrations keep you studying longer by tricking your brain to feel as if it is being rewarded for doing an otherwise unpleasant task, and greater norepinephrine concentrations allow you to stay focused on the task at hand. supposing one doesn’t have adhd, is adderall really bad for you? if adderall makes you a better studier, why aren’t we all popping addys and acing our exams? every person has a different biochemical makeup and no drug is without side effects. though it boasts mental alertness, adderall’s common side effects include nausea, loss of appetite, dry mouth, anxiety, agitation, mood changes, sleep problems, headache, dizziness, and more. other side effects may include fast, pounding, or uneven heartbeats, numbness, tingling, and dangerously high blood pressure. side effects vary between people, and there’s an inherent risk in taking a drug without knowledge of how it might affect one’s body. additionally, the issue of addiction to such an enhanced state exists as a significant concern. because dopamine and norepinephrine levels are at such peaks, chronic use of adderall for an individual without adhd may result in addictive use of the substance. adderall usage for those without adhd, though it may likely enhance performance, is not worth it. the benefits don’t outweigh the risks, and there are reasonable alternatives such as exercise! don’t use adderall without a prescription. it just doesn’t add up. ! ! ! meet dr. joachim frank, nobel laureate cusj 2018 ________________________________________________________________________________ our editors vikas chelur cc’21 and maria trifas cc’21 interviewed dr. joachim frank in december 2017. dr. frank is a professor in columbia’s biological sciences department who recently won the nobel prize in chemistry in 2017 with jacques dubochet and richard henderson for their research in cryoelectron microscopy. here is a snippet of the interview where professor frank explains his research at different levels. vc (vikas chelur): could you give us a brief explanation of your research in cryo-electron microscopy, as it pertained to you winning the nobel prize from first how you’d explain it to a toddler? jf (joachim frank): molecules are very tiny, tiny things that we have all over our body. and they bounce against each other and sometimes they recognize each other and say hi. and we want to know exactly what they’re doing and how they do this and how they say hi and why they want to get together and how this all makes our body work. this particular method that we developed makes it possible to see these molecules with very, very super microscopes that are better than light microscopes. mt (maria trifas): what about for a middle schooler? jf: everybody knows that life processes are constituted by interactions of molecules. we have thousands of molecules of different kinds in each cell. and in a normal cell they function properly. in a deceased cell, there are many difficulties in these interactions, problems. and that’s how disease processes are developed. from that it follows that we need to have as complete a knowledge of all our proteins in the cells as possible. the existing technique for determining the structure of molecules to the atomic level (which means the highest resolution level) was by x-ray crystallography. for decades now, x-ray crystallography has been used to determine structures of biomolecules. and there are in fact more than a hundred thousand structures in the public database. they make possible what we call molecular medicine, because medicine nowadays is molecular medicine. it is based on the extensive knowledge of molecular structures. so, this whole database has a huge, huge gap. that gap exists because not all molecules can be crystalized. that’s essentially where electron microscopy jumps in. electron microscopy can visualize molecules in a particular method that the three of us (nobel laureates) got our prize for. it is a method of obtaining the structure of molecules from molecules in solution. and we call it single not because there is only one, but single because they are not attached to each other. so, we can simply look at many, many molecules that are randomly oriented in solution and on that basis, on the basis of the projection, we see the surface structure. there are two important methodologies involved. one of them is the way how all the information from the different projections have to be related to one another in order to find the orientations and then develop the threedimensional visualization. that technique i developed long before the ‘cryo’ part came along. so, i developed this with a very poor contrasting method that existed at the time which is called negative staining – so molecules were badly treated but they were still in some way propped up by the negative stain. and the images received their contrast essentially received their contrast as stain exclusion. so, one didn’t see the molecules, but one saw the stain, and what the molecules excluded. with this kind of visualization, i developed the algorithms, the computational techniques, to get all the way to the 3d structures. when i was just about finished with that, this other technique came along which allowed us to embed molecules in vitreous ice. that’s the contribution by jacques dubochet. the existing attempts to keep molecules in water by quickly freezing the sample in liquid nitrogen – that method doesn’t work, because on the interface between the grid and the liquid nitrogen, gas bubbles form, very quickly. these gas bubbles don’t transmit heat very efficiently, and that allows the ice to form crystals. crystalline ice is dangerous for molecules; it sort of destroys them because it expands. and besides, it also has its own structure which interferes with the structures that we are looking at. so vitreous ice is really an invention that came along in 1980. and then dubochet discovered, along with his mentor, that the formation of crystalline ice can be prevented by substituting ethane for liquid nitrogen. so now we have this little vessel of liquid ethane suspended in a bath of liquid nitrogen. and when the grid with the sample on it is plunged in there, then the ice that is formed is glasslike, and hence vitreous. so it is a very simple concept, but it is an ingenious idea, and all of a sudden, there was a way of freezing the molecules as if they were in liquid water, they stayed in liquid water. meet dr. joachim frank, nobel laureate 20 microsoft word cusj 35.docx ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 35 following our annual cusj symposium this year, we were extremely proud to announce three honorable mentions — nikita mullick, justin oh, and niyasha wijedasa! these three students impressed us with not only their research, but also their ability to effectively convey their complex projects in a coherent and digestible way. congratulations once again to the cusj symposium honorable mentionees! read about them below: nikita mullick nikita mullick is a third-year undergraduate biology b.s. student at emory university. she works in the jacob lab at emory vaccine center. she attended high school at university school of milwaukee in wisconsin where she did research in the benjamin lab at the cardiovascular research center of medical college of wisconsin and had a three-year research internship at biosource inc. in the jacob lab, nikita works to discover novel antiviral agents to fill gaps where vaccines and drugs are ineffective or nonexistent. host defense peptides (hdp), produced innately by animals, can target common motifs on pathogens to help protect the animal from infection and could be harnessed for use against viruses. the aim of her project is to find hdps that have antiviral activities to improve the breadth of peptide-based drugs. in this study, nine peptides that have sequence homology to a known king cobra hdp were discovered through genomic scanning of various species. toxicity against human erythrocytes and antiviral activity against two influenza viruses were analyzed. three new snake peptides and one wallaby peptide were found to be non-toxic and have shown significant antiviral activity in vitro. these candidates are being further investigated for use as antiviral therapeutics. justin oh justin oh is a junior in the academy for advancement of science and technology at bergen county academies (bca) in hackensack, new jersey. apart from doing research, justin is the founder and organizer of bca flash, an annual event where bca students teach steam topics to approximately 300 middle schoolers, copresident of his school’s model united nations club, and a scholastic art winning photographer. in terms of his research, he began to focus on ovarian cancer, one of the deadliest gynecologic cancers in women, beginning march 2017. the treatment used in his project is hydrangea root (hr), which is known to naturally treat urinary tract infections like kidney stones made of ca2+ ions. skov3 cells, the human ovarian cancer cell line, depend on ca2+ ions to thrive in the body. the hr can cause a decrease in epidermal growth factor-induced ca2+ influx, which originates from the trpc3 protein expression in skov3 cells. the reduction in ca2+ ions will cause the skov3 cells to enter autophagy due to the absence of calcium ion transfer and a decrease in atp levels. thus, the skov3 cells will eventually die in the presence of hr. by conducting this research, justin hopes to create an effective, natural treatment that can inhibit proliferation of ovarian cancer cells. niyasha wijedasa niyasha wijedasa is a rising senior on the pre-dental track. although she has just been introduced to research this past semester, she became so passionate about her work, making the countless hours spent in the lab enjoyable. her love for dentistry prompted her to pursue a research topic in dental tissue engineering. to combat the issue of enamel erosion, which is irreversible, she constructed a scaffold which would aid in the cellular proliferation, organization, and differentiation of primary gingival fibroblast cells in hopes that it could be used for further research in enamel regeneration. to devise this scaffold, hydroxyapatite, the major constituent of enamel, was extracted from fish scales. then it was integrated with polygalacturonic acid, a pectin derivative found in plant cell walls, to form a gelatinous matrix similar to the extracellular matrix of natural dental enamel. nanofibers were incorporated to serve as the backbone of the scaffold and increase biocompatability. lastly an amelogenin protein, responsible for the biomineralization of enamel, was combined with the scaffold to further mimic the properties of the dental enamel matrix. once the scaffold was complete, their biocompatibility was tested in conjunction with the primary gingival fibroblasts. figure 1. pictured are the three 2019 cusj research symposium honorable mentions – congratulations! on the 2019 cusj research symposium honorable mentions microsoft word 42-160-1-ed.docx 1 genome analysis cfhmm: heterogeneous tumor cnv classification by hidden markov aleksandar obradovic1,*, hongjian qi2 1department of computer science, columbia university azo2104@columbia.edu 2department of computer science, columbia university hq2130@columbia.edu abstract summary: we here develop and implement a clonal fraction hidden markov model (cfhmm), to leverage positional information in classifying tumor cnvs and their corresponding clonal fraction from log-ratio-normalized tumor/normal sequencing data. in simulated data, this approach shows accurate calling of cnvs for high-fraction mutations, and improvement in calling over a naïve clustering benchmark across the board, as well as useful purity estimation for dominant clones. availability and implementation: source code and documentation is freely available at https://github.com/7lagrange/fcnv implemented in r, with all major operating systems supported. contact: azo2104@columbia.edu supplementary information: additional tables and figures available at https://docs.google.com/document/d/1ohbjwaz20jxx3tc64basuzp wmpne_ybfwfmju9jb0mu/edit?usp=sharing 1 introduction copy number variations (cnvs) are duplications or deletions of genome segments, of length greater than one kilobase by convention, which occur normally in the genome but have also been highly implicated in tumor genomes (zhang). it is therefore important to accurately classify cnvs in tumor genome data. this can be done by modeling next-generation sequencing data, where a natural model to apply is the hidden markov model, with transition matrix of copy number or cnv states and emission of normalized read-counts (zhao). however, admixture of normal cells in a tumor sample (gusnanto) and heterogeneity of distinct clones within a tumor (oesper) complicate analysis, such that apparent copynumber for any given genome region may appear fractional and be misclassified. this, in addition to the loss of prior location-specific variability information that can occur after tumor/normal normalization, is an issue that must be addressed for improved application of a hidden markov approach to cnv classification. in our cfhmm model, we implement a 15-state model, with a commonly used 5-copy-number (0,1,2,3,4) set for tumor and extremes-removed 3-copy-number (1,2,3) set for normal cells, where a normal diploid state of 2 is the most common. we derive an average purity prior from raw log-ratios, from which a set of 15 strong emission distribution priors are constructed that preserve variability information for a given tumor/normal state-pair. *to whom correspondence should be addressed. cfhmm runs modified unsupervised viterbi training on the data to give posterior state classifications that, if accurate, may also provide clonal fraction information for each cnv mutation. 2 methods we evaluate the accuracy of our model on simulated wholegenome-sequencing data for which the hidden tumor and normal copy-number states are known. the tumor and normal genomes are segmented into kilobase-length bins for which copy number is generated by markov chain with adjustable parameters favoring remaining at the same copy number from one bin to the next and providing equiprobable transition to any other copy number. 60 million reads, corresponding to 10x deep sequencing in (myers) are randomly distributed into these bins with probability weighted by copy number. clonal fraction k in the tissue for a given bin is randomly selected from a parameter list of options, where we ran several tests with two-tumor-clone data and one with three-tumorclone data. log-normalization proceeds from read-count data as: (1) where, conversely: (2) the purity prior k for input into cfhmm is taken as the mean of values from equation 2, assuming normal state 2 and using only extreme log-ratios over the equation 1 values for pure (k=1) tumor state 3, or under the threshold for pure tumor state 1. with this prior, since the read-counts are poisson distributed, the lognormalized emission data can be normally approximated in a way that preserves variability information dependent on location along the genome as: (3) where p1 and p2 are tumor and normal state, respectively, and n is the number of reads. from here, a hidden markov model is created with a 15-state transition matrix and modified for continuousemission such that the emission matrix contains a mean and variance for each of the 15-states. the viterbi algorithm is then: (4) with probability of state m at position n captured in xm(n), state transition probability captured in t, and log-ratio emission distributions captured with mean and standard deviation in e. this is applied for classification in unsupervised training with a modified version of the standard iterative viterbi algorithm (durbin), where the maximization step in em for the continuous-emission-matrix e uses bayesian update (lynch) on the normal distributions: a.obradovic, h.qi 2 (5) after 15-state classification, a posterior purity estimate for each bin where tumor state is not equal to normal state can be derived from equation 2, and this distribution can be plotted to visualize clonal fraction, as well as k-means-clustered to group mutations belonging to the same clone sub-population. this is compared in simulated data to the known fractions and the accuracy is evaluated. for cnv-state classification, the 15-state model is compressed by grouping of equivalent states into a 6-state model (see table 1). table 1. state compression table. state 1 2 3 4 5 6 t/n 0/1, 0/2, 0/3 1/2, 1/3, 2/3 1/1, 2/2, 3/3, 4/4 3/2, 4/3 4/2, 2/1 3/1, 4/1 15-state tumor-normal model is reduced by posterior resolution of ambiguities to 6 distinct cnv states. 1-full deletion, 2-partial deletion, 3-normal, 4partial amplification, 5-homozygous amplification, 6-large amplification. as a benchmark for accuracy of cnv state classification, a naïve thresholding method is used, where thresholds are drawn at the log-ratio values from equation 1 with purity prior k and t/n states 0/2, 2/3, 4/3, 4/2, and 3/1, and a genome location is classified into one of the six compressed states as whatever interval of these thresholds its log-ratio falls inside of. there is no equivalent benchmark for posterior purity from the hmm model, as this is the primary innovation of our method, so it is evaluated on its own. 3 results simulated data was run for ten matched tumor-normal genomes, with all parameters but purity kept constant at default value. the first trial was homogeneous tumor admixed with normal cells at 0.9 clonal fraction. each of the next eight trials contained two equiprobable purity values, with a dominant 0.9 fraction clone and a secondary subset of fraction ranging from 0.85 to 0.5 at intervals of 0.05. a final heterogeneous tumor trial was run with three equiprobable mutation fractions of 0.9, 0.7, and 0.5. in terms of state classification accuracy, each trial showed correct classification for clones represented in 0.7 or higher proportion of the tumor sample with accuracy over 99.9%. this is significantly higher than the approximately 70% accuracy seen in the naïve thresholding benchmark. both methods, however, lose accuracy for rarer cnv mutations, although our cfhmm method remains more accurate than the benchmark across the board (see fig. 1). accuracy of posterior purity estimates (+/ 0.01 of true value) was also better for high-fraction cnvs, showing around 80% accuracy in all trials for the dominant clone and accuracy decreasing to 56% for 0.5 purity. posterior purity estimates show clear peaks at the true purities for k greater than or equal to 0.7, usefully depicting tumor heterogeneity, but retaining only the dominant-clone peaks for tumors with rarer admixed mutations, such as the 3-state trial tumor, where states 0.9 and 0.7 were well-described and classified with high accuracy, but 0.5 was not (see table 2). table 2. three-state 0.9, 0.7, 0.5 purity trial purity states hmm state accuracy thresholding state accuracy hmm purity accuracy .9 0.9995894 0.6706574 0.8174977 .7 0.9992959 0.5384039 0.7150379 .5 0.649813 0.3955961 0.4992132 accuracy is shown per purity state for the hmm classification, thresholding classification, and hmm-derived purity. areas for future work include the implementation of baum-welch rather than viterbi training for hmm learning (durbin), in order to ensure globally optimal solution, as well as the application of the algorithm to real matched cancer sequencing datasets for further validation. in addition, the breakdown of the method for lowfraction cnvs is a limitation than should be addressed, possibly by iterative exclusion of classified dominant mutation sites, so that the new prior on subsequent runs of the algorithm is pulled toward lower purity, so long as the limitation for the markov assumption presented by resulting holes in the data can be addressed. acknowledgements we wish to thank dr. itsik pe’er and the students of cbmfw4761 for providing feedback and advisement on project design. references durbin, richard, ed. biological sequence analysis: probabilistic models of proteins and nucleic acids. cambridge university press, 1998. gusnanto, arief, et al. "correcting for cancer genome size and tumour cell content enables better estimation of copy number alterations from next-generation sequence data." bioinformatics 28.1 (2012): 40-47. lynch, scott m. introduction to applied bayesian statistics and estimation for social scientists. springer science & business media, 2007. myers, gene. "whole-genome dna sequencing." computing in science and engineering 1.3 (1999): 33-43 oesper, layla, gryte satas, and benjamin j. raphael. "quantifying tumor heterogeneity in whole-genome and whole-exome sequencing data."bioinformatics 30.24 (2014): 3532-3540. zhang, nancy r. "dna copy number profiling in normal and tumor genomes." frontiers in computational and systems biology. springer london, 2010. 259-281. zhao, min, et al. "computational tools for copy number variation (cnv) detection using next-generation sequencing data: features and perspectives."bmc bioinformatics 14.suppl 11 (2013): s1. fig 1. cfhmm v threshold accuracy for dominant and rare clones. microsoft word cusj_spring_2015_journal.docx !cusj%|%volume%9%|%spring%2015% 10% mirror panel edge sensors for the schwarzschild-couder telescope jonathan sun1, brian humensky2 & daniel nieto castano2 1 department of computer science, columbia university, new york, ny, usa 2 department of physics, columbia university, new york, ny, usa 1 gamma-ray astrophysics and motivation: gamma-ray astrophysics is an exciting field of high-energy particle physics that has expanded dramatically in the past decade. the science of gamma-ray cosmology presents a way of looking at the most interesting parts of the universe. very high energetic particles in space indicate the existence of exotic and extreme physical conditions. looking for gammaray emissions allows us to map the universe, discovering high magnetic/electric fields, shock waves, and cataclysmic explosions. these emissions offer the only direct probe of the extreme conditions in these exciting phenomena [2]. figure 1: gamma-ray showers and cherenkov light very energetic particles are extremely difficult to detect. charged particles are affected by the incredibly strong magnetic fields of deep space, so when they reach earth it is impossible to deduce the origins of the particle. gamma rays are unaffected by these magnetic fields. a gamma ray is a packet of electromagnetic energy photons. they are the most energetic photons in the electromagnetic spectrum, and they are emitted from the nuclei of unstable radioactive atoms. they travel in straight lines allowing astronomical instruments to determine the origins of the high-energy particles. however, there is an inverse relationship between particle energy and particle flux; higher energies result in very little flux. space-based instruments are expensive and too small to properly detect higher energy particles. modern projects use ground-based instruments designed specifically to detect gamma rays. it does so through secondary radiation detection. the process is visualized in figure 1: a source emits a gamma ray. the gamma ray interacts with the nitrogen in the atmosphere, producing a shower of electrons, positrons, and other particles as the gamma ray decays. this 2 particle shower is seen as a radiation called “cherenkov light.” large optical reflectors in the ground-based telescope then image the cherenkov light onto a photomultiplier tube camera in the instrument. multiple telescopes imaging the same cherenkov radiation allow us to triangulate and pinpoint the origin of the particle shower with a 3d reconstruction of the shower in the sky [1]. development of the mpes: overview: the new cherenkov telescope array (cta) is a next generation global-project ground-based observatory for high-energy (30 gev—200tev) gamma ray astronomy. the new schwarzschild-couder telescopes introduce a novel imaging atmospheric cherenkov telescope design featuring a schwarzschild-couder aplanatic two-mirror optical system (fig 2). an integration of several tens of these new telescopes will yield an astronomical instrument accommodating a wider field-of-view, significantly improved angular imaging resolution, and expanded energy detection range. it is more economic and yields better image quality and background rejection. the new reduced plate scale design also makes it compatible with highly integrated cameras assembled from silicon photo multipliers. figure 2: the new sct design each sct plate is composed of several individual mirror panels. each mirror panel needs to be precisely adjusted and positioned in order for accurate viewings of the sky. traditionally, ground-based telescopes needed to be manually adjusted. the new telescope array plan renders this process extremely tedious. thus, the project of developing edge sensors for the mirror panels began. the general concept is seen in figure 3. three edge sensors are placed between all adjacent plates for six degrees of freedom, allowing for location knowledge of a singular mirror panel in 3d space. the edge sensors will measure the relative displacements between mirror panels as an input for the panel-to-panel alignment system. when the edge sensors give information to the alignment system that indicates a mirror panel is displaced, !cusj%|%volume%9%|%spring%2015% 11% 1 the system will command the actuators underneath that mirror panel to correct its position accordingly. the edge sensors are required for a positional resolution of just a few µm over an operational area of around 10mm by 10 mm. ! ! figure 3: mpes design component ! edge sensor design: the sensor design is very basic. a single sensor consists of a photo sensor and a corresponding light source fundamentally. the sensor presents a single optical axis defined by a laser beam, which is orthogonal to the photo sensor plane. the primary components of the edge sensor consist of an economic usb webcam and an economic laser diode module. these components are both adequate for precise measurements and economically efficient. the laser diode emits its light at the webcam. the webcam will record an image of the laser dot (fig. 4). the positioning of the overall mirror panel is thus calculated and measured via the position of the laser dot in the webcam image; a displaced dot infers a displaced mirror panel. ! figure 4: sample laser image positioned in-between the photo sensor and the light source are two components to assist the accuracy and precision of the sensor module. the first component is a collimator. it acts as a diaphragm and allows the laser to pass through a small pinhole (300 µm diameter) that narrows the laser beam. the second component is an opal glass screen to! diffuse the laser light just before the webcam.! 2 webcam testing and disassembly: the project ordered a total of 380 webcams to be used for the edge sensors. like the laser diodes, the quality of the webcams was expected to vary. consequently, the webcams needed to be opened and tested for resolution and image quality. the defective cameras would be returned. the webcams were tested using a resolution test chart (fig. 5). next, the cameras needed to be disassembled to install them in custom sensor housings in the sensor unit. figure 5: resolution test chart webcam image distortion: an issue became evident as the webcams were tested. many of the cameras exhibited a “fishbowl,” or distortion affect where the captured image was slightly warped. the severity of the warping varied from camera to camera, with some exhibiting barely any warping and some exhibiting significant warping. an experiment was performed to test this. three cameras were used, one exhibiting negligible warping, one exhibiting some warping, and one exhibiting severe warping. the lenses were permuted between the camera circuit bodies to test if the lenses caused the distortions (fig. 6). the results are surprising. the distortions did not follow the lenses as predicted. in figure 6, a similar distortion pattern remains consistent between the lens permutations on body c. this suggests that the photo sensor holder causes the distortion instead of the lens. environmental stress tests: the final project to be discussed is the project regarding environmental variables and their effects on edge sensor stability and performance. the primary environmental factor of concern is temperature–it seems to have the most significant effect on laser intensity. an alteration of laser intensity can have damaging impacts on the sensor accuracy. if the intensity is too high and the webcam exposure level does not account for this, the image becomes extremely oversaturated. the center is impossible to determine. if the image is too underexposed, it becomes very difficult to determine the center of the laser as well. the ultimate purpose is to visualize the relationship between the environmental stresses and image intensity. the project began with using data from a prototype edge sensor tested in the field last summer and an edge sensor tested in a laboratory. laser images taken and regular intervals over a period of several weeks were compiled with <.log> files detailing the time, temperature, and humidity at the! !cusj%|%volume%9%|%spring%2015% 12% 1 moment of each image capture. all together, this served as a database for the next step. a perl script was written to scour the database of images and environmental variables. this script needed to account for errors in the database such as missing images, inconsistent time intervals, missing times and environmental information, inconsistent orderings of images and scalar data, and images that were completely unusable. the script ran the images through another pre-constructed c++ function called “snapshot” that scanned the image and produced the image intensity and the x and y centroid values. this information was compiled with environmental information to produce a single <.log> file containing all of the information. figure 8: “extreme” stress tests data 2 a subsequent r00t macro (an extension of c++) was written to handle the <.log> file. the macro gathered all the data and produced graphs that mapped the relationships between environmental variables and sensor performance. the results are shown in figures 7 and 8. [editor’s note: figure 7 can be found on the next page.] stress tests analysis: the results are very interesting and inconclusive. the top rows of graphs (in both figures) show the data after the laser image is converted to grey-scale. the bottom set of graphs comes from the original colored images. the first two columns of graphs show the x-centroid position and y-centroid position respectively. each dot is an image taken at a unique time. the x-centroid is much less consistent than the y-centroid position. there also appears to be two ‘bars.’ the investigation into this phenomenon is ongoing. originally, it was hypothesized from preliminary testing that there would be an inverse, linear relationship between temperature and laser intensity. as the temperature became colder, the intensity was increase. however, the outdoor stress test results show no clear relationship in this manner. the spray of intensity levels is extreme and strange. the lab ‘extreme’ stress tests show a similar inconclusive result. the outlying and severely varied intensity values may have been due to faulty images in the database. some of the images appeared to be distorted in terms of color and intensity. the analysis is ongoing in the cta project. figure 6: lens permutation tests. images highlighted with a red border indicate lenses paired with their original bodies. !cusj%|%volume%9%|%spring%2015% 13% 1 acknowledgments: this research was supported by columbia university in the city of new york. dr. brian humensky and dr. daniel nieto of the nevis laboratories guided this research. the authors would like to thank the primary author’s research advisor dr. gasperov. references: [1] g humensky, brian. “some helpful slides.” [2] [3] “sct-opt/mec design report for sct review.” man-po/120920. [4] arxiv:1307.4072 [astro-ph.im] [5] nieto, daniel. “development of the prototype sct mirror panel edge sensors.” cta consortium meeting chicago / may 28, 2013. [6] “resolution test chart.” . 2 figure 7: outdoor stress tests data columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 31 cherenkov telescope array mirror alignment report francis toriello1* 1the veritas group, department of physics, columbia university, new york, ny, usa introduction the cherenkov telescope array (cta) is a groundbased observatory for gamma rays with very high energy characteristics within the range of 10 gev to 100 tev. it is currently still under development. as the title of the project suggests, it takes advantage of the cherenkov radiation that is produced by the gamma ray’s interaction with the earth’s upper atmosphere, similar to the guiding physical principles of veritas. the primary differences are that cta will feature more telescopes and possess a larger energy range. cherenkov radiation will be collected by an array of dozens of optical telescopes of various sizes. these optical telescopes will be composed of hexagonal mirrors that must be aligned relative to each other so as to represent the shape of the telescope as a whole properly. it was in this area of research that my efforts were focused. the most recent proposed system with which to align the mirrors consists primarily of a laser and a webcam. sixty to three hundred snapshots are taken of the laser and the position of the laser’s centroid in each frame is measured and analyzed by a custom-written computer program executed via root. one to ten microns was the ideal resolution that was required of the system to meet the needs of this project. since the position of the laser’s centroid was given by pixel number, it was necessary to determine the ratio of pixels to millimeters via another root program described in more detail on the following pages. it was also necessary to ensure by using an opencv analysis program that the pixels were not saturated. as will be shown, the consequences of saturation are bothersome edge effects that produce erroneous results. materials and methods apparatus (basic setup) 1. standard webcams (various models) 2. voltage supply 3. laser diode 4. l.e.d. 5. iris 6. calorimeter 7. diffuser 8. actuators results the first task at hand was to determine if the pixels were saturating, since this was the prime suspect of the following odd results: copyright: © 2014 the trustees of columbia university, columbia university libraries, some rights reserved, toriello. received 1/1/2014. accepted 3/14/2014. published 3/14/14. *to whom correspondence should be addressed: francis toriello, columbia university, new york ny 10027, email: fet2105@columbia.edu. physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 32 the data shown above represent a series of three hundred successive photos of a static laser with an applied voltage of 4v and a calorimeter setting of 2mm. as may be seen, the centroid does not appear to be very well behaved. in fact, it appears as though it moved dramatically in the first 100 frames as may be seen in the upper right hand graph. as previously mentioned, the prime suspect for this odd result was pixel saturation. below is one of the photographic images of this 4v 2mm laser point rendered by the webcam itself. the pure white center represents clear evidence of saturation. the more disconcerting feature of this, however, is the ring of reflected light visible around the edge of the iris. these are edge effects due to saturation that cause the centroid to appear to move when it has, in fact, not done so. this problem was made most apparent after writing an opencv executed program that analyzed this very image and produced a histogram consisting of the amount of pixels versus the intensity values they maintain (see image below): as can be seen, there is an initial spike at zero intensity. this spike represents the pixels that make up the area outside the iris while the spike all the way to the right, at the 255 mark, represents the saturated pixels that can be found at the center and throughout the image. the ideal (and necessary) situation is to have no pixels saturating or otherwise stated at the 255 intensity mark in the above graph. at the time we were using a calorimeter that possessed a smallest possible aperture of 0.1mm. we found that, even with this smallest aperture and various voltage values, there was still saturation that, in effect, would produce erroneous results as shown previously. we were finally able to eliminate saturation by using a different calorimeter that possessed a smallest possible aperture of zero millimeters. we used the very same 4v laser except with an aperture of less than 0.1mm, achieving successful results shown below. physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 33 while the exact values accompanying the above image are admittedly difficult to decipher, it is clearly apparent in the first two upper left hand graphs that the laser’s centroid is much more defined and better behaved. in fact, the sigma value for the x value of centroid is 0.06657+/0.00215 pixels while the sigma value for the y value is 0.1029+/-0.0040 pixels. this discrepancy is bothersome since both the x and y value should be the same. however, this could be due to a slight tilt of the camera that would affect the geometry in such a way as to elongate the spot subtly in the y direction. the x sigma value, however, is auspicious as it falls within the few micron range that is required of the position resolution we are seeking. the next task involved determining the pixel to millimeter ratio so we could obtain a better sense of the positional resolution provided by the sigma values previously mentioned and whether or not the pixels are square. this required performing two linear scans in which the camera is moved by the actuators in increments of .5mm in the x direction and then once again in the y direction. the slope of the fitted line should yield the amount of pixels per millimeter and both slopes should be equal to one another if the pixels are indeed square (see images below). as may be seen, both linear scans produce an approximate slope of 48.31 pixels/mm showing that the pixels are square and that our x sigma value of 0.06657 pixels translates to approximately one micron while our y sigma value of 0.1029 pixels translates to approximately two microns, both well within the range of our desired positional resolution. the second graph of each scan (position vs. deviation from fit) gives us an idea of the mechanical uncertainty of the apparatus; that is the uncertainty introduced once the apparatus is set in motion. we see that in both physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 34 scans there is a spread amongst the values of approximately .5 pixels or 10 microns. of course, this is subject to change as the setup we were using is far from the configuration that will eventually be used in the field. once the pixel to millimeter ratio was determined, the next task required us to confirm the apparent positional resolutions provided by the sigma values. this was achieved by performing a scan in the x direction similar to that of the previous linear scan. however, the difference this time was that, instead of keeping constant the increments by which the camera moved, we instead halved the distance every time. if our positional resolution was indeed approximately one micron then, once the increments reach one micron and below, the program should fail to recognize any change in position (see image below). as may be seen in the second position vs. deviation from the fit graph, there is a point very close to two millimeters where we reach the limit of our positional resolution. that position is actually 1.999023188 mm, exactly the point where the change in position dips below one micron (9.765625 x 10^-4 mm) as was apparent in the table of data used to create these graphs. therefore these results show that the positional resolution achieved was, in fact, approximately one micron (with regards to the x value of the centroid). to get a better idea of the mechanical uncertainty, a series of diagonal scans were performed. just as the name implies, these were contemporaneous scans in both the x and y direction. we should see the same mechanical uncertainty of approximately 10 microns or .5 pixels that had been reflected in the linear scans. y-centroid behavior: x-centroid behavior: notice that, similar to the linear scan in the x-direction, the x-centroid behavior yields a mechanical uncertainty of approximately .5 pixels or 10 microns (given by the spread of points in the position vs. deviation from fit graph) while the physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 35 y-centroid behavior yields a mechanical uncertainty of approximately 3.5 pixels or 73 microns. this discrepancy is similar to the difference between the x sigma and the y sigma mentioned earlier. it was determined that this inconsistency could also be due to some very slight tilt of the camera that may affect the geometry of the how the laser beam impinges on the camera’s lens. the next task required testing other webcams of similar design in order to evaluate the robustness of the current configuration of the apparatus. for the sake of brevity i have excluded these results as they were very similar to previous ones. the last task we completed before the end of the semester was the evaluation of an alternate light source, a light emitting diode. due to the fact that the light emitted from an led is considerably more spread and less concentrated, it was necessary to build a makeshift housing unit in which we passed the light though two custommade calorimeters, both of which, of course, possessed an aperture of less than 0.1mm. we proceeded to taking sixty successive images of the led laser point and analyzing them in much the same fashion as we had done for the three hundred successive photos of the 4v laser diode. the results are no doubt promising as, much like the laser diode, a well-defined centroid is reflected in the analysis as can be seen in the first two upper left hand graphs. we get an xsigma value of 0.0666 +/0.0161 pixels or once again approximately one micron and a y-sigma value of 0.09032 +/0.01511 pixels or once again approximately two microns. discussion in our final analysis, the use of webcams while promising is not without its discrepancies, such as the difference between x and y positional resolutions given by their respective sigma values, and it reflected some mechanical uncertainties. it is of interest to me why, when the linear scans were not diagonal but done separately and dedicated to one direction at a time(x or y), the same mechanical uncertainty of about 10 microns was reflected by both the x and y scans while this did not occur for the diagonal scans. if the geometrical argument that i have proposed throughout this report is correct, then perhaps some corrective measure may be investigated during further research anticipated to be done in months to come. with regard to most recent developments concerning the leds, it would be interesting to perform some diagonal and linear scans to not only gain a more advanced understanding of how we may use these light sources, but also to see if these discrepancies persist, and in effect learn more about them and the subtleties of the system as a whole. physics microsoft word 102-327-1-sm.docx abstract—monitoring and diagnosis of power as well as distribution transformer is the most important process for extending the life of transformer.a transformer monitoring system is already developed by siemens which is based on scada system. but that system can’t be used in small scale industry because most of the industry lacks in automation. this paper presents the details of a monitoring system which is a standalone device equipped on every transformer individually and this device is able to detect phase failure, unbalanced voltage, and earth fault. apart from these, the device can also monitor the oil level and oil temperature. the main aim of research is to develop this product and make available on economic rates. index terms—power transformer, embedded systems, transformer protection i. introduction ower transformers are the important part of power system which are used to step up and down the power to make usable for electricity consumers. transformers are vulnerable to failure due to external fault or internal fault or general ageing of parts which can lead to severe damage and results in replacement of the parts due to which the consumer suffers from longer power outage as well as high replacement of the part; it can also cause explosion and fire which is threatening to lives and property. at present following methods are used for fault detection of transformer 1) frequency response analysis (fra) 2) dissolved gas analysis (dga) however, this method requires disconnecting the system and isolating the transformer which leads to interruption of supply. while dga is instead an online monitoring method, it has limitations of detecting faults which associated with partial electrical discharge [1]. there are different kinds of faults in a transformer; the internal fault is divided into two i.e. short circuit faults and incipient faults. the internal short circuit faults are caused by turn-toturn shorting or turn-to-earth shorting in the windings of transformer. the incipient fault is developed over time as the transformer insulation deteriorates. the factors affecting transformer failure and deterioration are the environment in which the transformer is being operated, maximum load current, lightening short circuits and switching surges. [2] in this paper the detailed working of the fault detection system is explained. this system continuously monitors the transformer in real time and compares the output of transformer with the reference values i.e. of a healthy transformer. this device can monitor the voltage values and determine whether it’s a phase failure or earth fault. apart from this, it can also monitor temperature of oil, moisture level and oil level of transformer. at present the problem within india is regarding to the monitoring and diagnosis of transformer. regular monitoring is not carried out by the employees. so to eradicate this problem an automatic and efficient transformer monitoring system is employed. this will help in reduction of duration of power failure. it will also help in overcoming future faults. ii. research objectives • to design a system this can compare the output of transformer with the reference output and conclude it with healthiness or unhealthiness of transformer. • to monitor the oil level of transformer in conservator. • to monitor the temperature of oil. iii. design methodology the system consists of 1). power supply 2). potential transformer 3). microcontroller avr fig. 1block diagram of system 4.1 power supply unit a power supply circuit consisting of a transformer along with rectifier diodes, where the leads of the secondary winding are connected to first terminals of rectifier diodes whose second terminals are connected to output of the power supply circuit. [3]there are basically two types of power supply i.e. linear and switched mode power supply. we are using a linear power supply here. power transformer monitoring system shreyansh likhar chameli devi group of institutions, electrical and electronics engineering p fig. 2linear power supply circuit 4.2 potential transformer p.t is an instrument transformer which usually transforms high voltages to a value easy to handle for relays and other instruments. it also insulates the metering circuit from primary high voltages. instrument transformers are special kind of transformers used to measure currents and voltages. fig. 3arrangement of potential transformer in this system three potential transformers are connected on low voltage side of transformer each is connected on phase and neutral. 4.3 temperature sensor a temperature sensor is a device that collects data which relates temperature from an object or environment and converts it to a form that can be understood by device. these sensors come in many types and are used for a wide range of applications.[4] we are using tmp36 temperature sensor which is a digital temperature sensor the tmp36 is low power consumption, precise temperature sensor. the celsius temperature is linearly proportional to voltage output provided by the sensor. it doesn’t require any calibration. its accuracy is ±1°c at +25°c and ±2°c over the −40°c to +125°c temperature. fig.4temperature sensor tmp36 4.4 microcontroller for carrying out a specific function microcontrollers are used.a microcontroller is a device with processor and amemory that can be used as an embedded system. most consumer products or machinery including mobile phones, automobiles and household appliances or computersare equipped with a programmable microcontroller.[5] fig.5atmel avr pin outs 4.5 conservator oil level indicator 4.5.1 magnetic oil gauge magnetic oil gauge is used indicate the oil level in conservator of power transformer. this is a mechanical device. magnetic oil gauge consists of mainly; float, bevel gear arrangement, indicating dial and terminals. we are using two ways for indicating oil level on device 1). connecting mog with device – there are three terminals on mog; two are phases and one is neutral. on one of the phase we are supplying single phase voltage to power the mog. the other phase along with the common neutral is connected to the relay of the device. the working of this process is such that a mog consists of magnetic switch which is eventually activated as the level of float falls which signals the relay to activate the alarm. fig.6connection diagram of mog 2). modifications in mog and conservatorthis method give the real time level of oil. we are using laser and ldr sensors to detect the level of oil and further which can be displayed by the device. fig.7side view of conservator showing the arrangement of laser and light sensor there are 5 sets of laser and light sensor which are installed circularly inside the conservator. the lasers are arranged in such a way that the float interrupt the laser penetrating the sensor. suppose the conservator is half filled as shown in the diagram above, the float will interrupt the laser penetrating the sensor which is further sensed by the sensor and shown on the device. in this way the level of oil can be indicated. fig.8front inside view of conservator showing the arrangement of laser and light sensor. 4.6 system development and connections the functions of the system are to check phase failure, unbalanced voltages and earth fault. apart from these it an also monitor the oil temperature and oil level. this can be carried out by connecting 3 potential transformers on the low voltage side of transformer to step down the voltage to a safe level which can be read by microcontroller. the microcontroller compares the output voltages of potential transformer to the reference values which is already fed in microcontroller. further according to that the microcontroller takes the decision about the healthiness of transformer which is then displayed on lcd. fig.9connection diagram of system temperature sensor is interfaced with the microcontroller to monitor the temperature of oil of transformer. the maximum values of oil are fed in microcontroller. if the oil temperature exceeds the safer value then the alarm is activated to alert the authorities. the output of magnetic oil gauge is connected to the relay which is then connected to microcontroller. it alerts the system if the level of oil is minimum in the conservator. the another modifications in the conservator tank for monitoring the real time level of oil in this 5 lasers are used to emit lights on light sensor. the level at which float of mog interrupt the laser penetrating the light sensor is defined as the level of oil in conservator. to display all this parameters lcd is used which is interfaced with the microcontroller. iv. conclusion in this research paper we have discussed how to detect faults of power transformer. this system provides an easy way to detect faults and monitor the transformer health to avoid future major shutdown. the power transformer fault detector provides the following advantages. • a method that continuously monitor the faults or failures. • wide range of features. • simple to use. the testing of power transformer fault detector is under process. after that the device will then progress to product development attached to the power transformers under the collaboration with any company. references [1]https://www.curtin.edu.au/research/local/docs/ip-commercialisation/powertransformer.pdf [2]nweke chisom. b (2014 august)using gsm to detect fault in microcontroller based power transformer [online] issn: 2321-9653 available: http://www.ijraset.com/fileserve.php?fid=768 [3]ole s. seiersen, “power supply circuit”, u.s patent 4899271 a,feb 6, 1990 [4]http://www.wisegeek.org/what-is-a-temperature sensor.htm#didyouknowout [5]http://www.futureelectronics.com/en/microcontrollers/microc ontrollers.aspx columbia undergraduate science journal open-access publication | http://cusj.columbia.com 50 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu sy m po si u m cusjcolumbia undergraduate science journalsymposium poster titles 51cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu sy m po siu m pathogenesis-related mutations in the t-loops of human mitochondrial trnas affect 3’ end processing and trna structure dmitri serjanov, kyla-gaye pinnock, louis levinger biochemistry/biophysics probing aromatic peptide aggregation using spectroscopy =hslu[puh�:�-lszlu��1\z[puh�*opu^vun��9\ls�+lzhtlyv��(kht�7yvä[ 9hpumhss�wh[[lyuz�pu�zwljpäj�ylnpvuz�vm�(mypjh delroy wills fluorinated solvent processing for organic optoelectronic applications ilana shimunov, marshall cox, ioannis kymissis design of low-cost thermophilic microbial fuel cell for sustainable wastewater treatment nathan winkler engineering designing, breadboarding, testing, troubleshooting, and constructing a life guard alarm unit john buoncora, dane burkett designing, constructing, programming, and debugging an autonomous robot gregory kissoon, john buoncora female energy supply lines: a study of firewood in northern ghana madeline russell foster water usage and availability in bongo’s communities: research leading to the development of an indigenous fluoride jessica marie friscia osteoblast precursor cells need the pyrophosphate transporter ankh in order to sense and respond to mechanical alen trubelja, kristen lee, christopher jacobs testing the fortracc model for short term forecasting of cloud movement and life cycle xiaoqian pan automated detection of gnra tetraloop prevalance using 3dna and python prerana pradhan*, mauricio esquerra, wilma k. olsen biochemistry/biophysics elucidating the interaction of lpa with model membranes evan minzter, rivkah rogawski* a comparison of methods to collect host-seeking, blood-fed and gravid mosquitoes in the surburban landscape lily c. hughes*, richard c. falco, thomas j. daniels biology analysis of nfkb protein subunits instimulated human macrophages steven kennedy*, sitharam ramaswami, ashish p. juvekar, subrata manna, ivana vancurova from egg raft to emergence: growth and survival of mosquito larvae in vernal pools jessie lanterman*, mike rubbo, rich falco the effect of rnai protein armitage on oskar mrna transport and localization in drosophila oocyte linda molla*, joseph t. cammarata*, irina e. catrina, diana p. bratu analysis of bortezomib-induced nuclear protein translocation in cutaneous t-cell lymphoma cells hung tran*, ashish p. jukevar, sitharam ramasswami ashish p. juvekar, subrata manna, ivana vancurova, subrata manna, ivana vancurova bone marrow degradation: correlations between lipid oxidation and caloric decline rates lily xie*, robert j. blumeschine, karen m. schaich anti-predator and social monitoring functions in blue monkeys kaitlyn m. gaynor*, marina cords evaluating nest protectors for turtle conservation: unintended consequences for the malaclemys terrapin shahriar rahman* engineering structural glass shells: the constructional and structional feasbility of a hyperbolic umbrella gregor j. horstmeyer*, sigrid adriaenssens, george scherer optical observations of thermoelectric effects of self-heated nanocrystalline niaz khan*, gokhan bakan, ali gokirmak, helena silva electrical properties of methyl based hybrid melting gels louis gambino*, andrei jitianu, lisa c. klein mathematical modeling and characterization of coiling perimodiolar mei yi cheung*, jian zhang, nabil simaan pressure distribution and forefoot geometry in ballet pointe shoescochlear electrode arrays antonia zaferious*, d.m. wooton phase-change oscillations and pulse generation in silicon microwaves adam cywar*, gokhan bakan, helena silva, ali gokirmak synthesis of hydroxyapatite coatings on calcite: developing a coating to protect marble from damage in acid rain jeffrey i. campbell*, sonia naidu, george w. scherer targeting nanoparticles to macrophages lila cheung* 2010 symposium chemistry anticarcinogenic and prooxidant properties of pomegranate juice extract loriel j. solodokin*, audrey canter, ahuva freilich, orli haken, chana g. ovits-levy, a.g. schuck, h. babich size-controlled growth of selenium nanoparticles on selfassembled kinetin nanostructures and their applicatior stacey n. barnaby*, ipsita a. banerjee abscisic acid based hydrogels as drug delivery vectors evan m. smoak*, stephen h. frayne, karl r. fath, ipsita a. banerjee implementation and analysis of passive online schemes for rogue access point detection in ethernet networks oscar a. perez*, bing wang psychology & neuroscience elucidating the toll like receptor signaling pathways of the immune jennifer deluty*, jeremy seto, stuart sealfon /\thuz�4ptpjrpun�(upthsz!�0twspjh[pvuz�mvy�:wljplz�:wljpäj� vocalization processing in human cortex william j. talkington, kristina rapuano*, chris frum, james w. lewis experiences and challenges of women combining academic careers and motherhood danielle l. auriemma*, tovah p. klein subcortical localization of ectopic cell cycle events in five alzheimer’s mouse models luming li*, timmy cheung*, jianmin chen, karl herrup medicine & health services redistribution of muscle mitochondria assocaited with vertebrate neuromuscular synaptogenesis mohammad gilani*, joav prives gadolinium-loaded micelles as intravascular contrast agent for micro-magnetic resonance angiography lindsay k. hill*, karen c. briley-saebo, moustafa doudai, asad baig, susan pun, brian j. nieman, daniel h. turnbull sb-t-1214 dramatically downregulates stem cell-related .lul�,_wylzzpvu�7yväslz�pu�4l[hz[h[pj�*vsvu�*hujly�*lss yan leyfman*, yuan wang, iwao ojima, galina i. botchkina imbibition of gases between silica and graphene kate e. noa*, milton w. cole, angela d. lueking physics performance of different jet clustering algorithms in reconstructing hadronic tops david krohn, cristina popa*, liantao wang graduate students using continuum robots for contact detection and estimation of contact location andrea bajo*, nabil simaan validation and benchmarking of computational fluid dynamic simulations for wind building response francesca ceccarini*, rene b. testa high frequency plateau responses recorded in gerbil auditory nerve tuning curves stanley huang*, wei dong, elizabeth olson design of steerable electrode arrays and optimal insertion path planning for robot-assisted cochlear implant surgery jian zhang*, j. thomas roland jr., spiros manolidis, nabil simaan variability of cloudiness and water vapor content over the caribbean using isccp data alma cabral reynoso automated software testing & deployment; the graphyte web toolkit carl chinatomby generation of mutated forms of leishmania major phosphatidylethanolamine methyltransferase lmpem1 subbhalakshmi dhalladoo, tongtong zhu effect of ganoderma lucidum on the migration of human breast cancer cells di wu, regina sullivan sumo proteins may regulate head reshaping, capacitation, and stress response in human sperm jordana schneider biology comparison of copper surface mediated toxicity in gram positive and gram negative bacteria phyo thu, janet long, nidhi gadura understanding the mechanisms of copper induced, lipid peroxidation mediated cell death in saccharomyces cerevisiae jasodra ramlall, nidhi gadura impact of plasma membrane unsaturated fatty acids levels on copper surface mediated cell death in e.coli bo zhi robert hong, nidhi gadura effect of co-enzyme on cancer cell proliferation and survival shawna benjamin, maria l cotrina, regina sullivan pro-oxidant and pro-apoptotic activities of olive fruit extract toward oral carcinoma cells. jennifer lazaros, erica michelle hasten, alyssa schuck, harvey babich effect of vegf on glucose transporter 1 during status epilepticus bobby thomas effect of carnitine on brain cell survival jose zhagnay, maria l cotrina effect of l-carnitine on breast cancer cell migration adam mcconnell, maria l cotrina, regina sullivan analysis of bortezomib-induced nuclear translocation of ikba in metastatic prostate cancer cells subrata manna, adeel zubair, ivana vancurova the effect of hif2 alpha on cell growth and cell survival cathy meng hao, yatrik shah chemistry density function theory study on the reaction of deprotonated tyrosine [tyr-h]with singlet molecular oxygen kallol mitra heavy metals in golf balls by x-ray fluorescence (xrf) spectrophotometry andre hugh smithson reactivity of tris (trimethylsilyl) phosphite in the synthesis of the nmustard bisphosphonic acid of bicine and phenylalanine luis vargas, marjorie morales, kevin chavez determination of copper content of the us penny by x-ray fluorescence, visible spectroscopy and gravimetric method sharda jagdeo concentration dependence of refractive index measured by a laser pointer: refractive index vs. concentration rebecca cho determination and applications of the van ‘t hoff factor using microscale freezing point determination measurements fathima nazmudeen, paris svoronos, mario balducci, pedro irigoyen an unusual porous and spherical micro-scale morphology for poly(o-toluidine) daniel lafaurie, david m. sarno 5huväilyz�jv�wvs`tlypalk�myvt�hupspul�huk�z\smvuh[lk�hupspul� for electrostatic interaction with gold nanoparticles engred vanegas, david m. sarno the probing zinctetracycline using vibrational spectroscopy jinnette tolentino feasibility of using electronic health record temperature dependence of refractive index determined by a esther yang a thermoresponsive multicolor colloidal photonic crystal based on polymeric core-shell microspheres saad syed, man kin chow synthesis and behavior of 6-bromoindigo xiaomei ye, sasan karimi, pedro irigoyen 2011 symposium microsoft word cusj_spring_2015_journal.docx !cusj%|%volume%9%|%spring%2015% 6% cras+faucibus+tempor+magna.+maecenas+dapibus+sodales+erat.+ aenean+sem+felis.+ our future in the stars helen yang1, briley lewis2 & abhinav seetharaman3 1department of biochemistry, columbia university, new york, ny, usa; 2department of physics, columbia university, new york, ny, usa; 3department of chemistry, columbia university, new york, ny, usa 1 after years of hard physical and mental training, they take their first steps to the shuttle, waving goodbye to all the spectators and earth. these astronauts, originally scientists, teachers, pilots, and engineers, each endured at least three years of rigorous professional training before even applying to an astronaut program. earning a bachelor’s degree is the minimum requirement for nasa positions, and the astronauts train beyond the classroom by swimming laps in a space suit to experience zero-gravity. a day in an astronaut’s life might start by climbing aboard the “vomit comet,” an aircraft that flies a parabolic path to simulate microgravity conditions. astronauts also accustom themselves to move and work in weightlessness at the neutral buoyancy lab in nasa’s johnson space center (jsc). behind the walls of this facility in houston, texas, these astronauts-in-training submerge themselves in a massive swimming pool while in clunky space suits. they navigate in full-scale underwater mockups of their shuttle and familiarize themselves with the life-size replica of the international space station (iss). after years of training, these space pioneers stand at the launch pad with 1000 jet aircraft pilot-in-command hours in their pockets, thoroughly acquainted with every module on the iss. nasa statistics claim that the launch shuttle sends our astronauts hurling into space at 18,000 mph, a speed nine times faster than the average rifle bullet. in just six hours, they arrive at the actual iss, which spans about the width of an american football field. the docking process is actually the most complicated component of their journey; the spacecraft cannot dock without entering the correct orbit at the correct time, and there is no room for a mistake that might send the spacecraft crashing into the iss. when the astronauts finally do make it onboard the iss, they’ll find themselves inside a leviathan weighing nearly one million pounds. the astronauts have more space than a six-bedroom house and are required to exercise in the station’s gymnasium. they might walk through the main central truss and look through the 360º bay window, and then visit laboratories where physicists attempt to detect dark matter and biologists study muscle atrophy in zebrafish. to prevent loss of muscle and bone mass, our astronauts engage in scheduled exercise and various spaceship repairs every day, leaving them only an hour or two of free time in the mornings. control center staff back on earth likewise cannot sit back and relax. orbital debris presents a constant, imminent danger to the wellbeing of the iss. station-crew and on-ground staff must do all that they can to protect this $150 billion flying space station from large debris while simultaneously conducting research and repairing the ship. 2 the iss is anything but permanent. our astronauts’ toil will amount to nothing if we cannot raise the funds necessary to keep the station in orbit. boeing predicts that the iss’s parts can hold up through 2028, but the bigger issue is finding funding to keep the station alive. nasa and its partners in russia, japan, canada, and other countries have committed to funding the station through 2020, but what its fate afterwards is uncertain. these countries are debating the question if the structure should be kept in orbit, allowing further research and providing a market for space transport companies like spacex and sierra nevada. alternatively, they could choose to give up the mammoth, perhaps by letting it spiral down into the south pacific for a watery death. fortunately for ardent iss supporters, there is some solace for the immediate future; nasa and white house officials announced plans to keep the station running till at least 2024. still, it is time to look beyond this station. as famous and celebrated as it may be, new avenues for exploration must be built after the iss becomes dysfunctional. as our society has look into our future in space, we have expanded our ideas, including plans to construct space colonies –stations with earth-like features that function as permanent settlements. if these colonies successfully sustain human life, there are plans to build a mega-station called ‘elysium’ – based off the movie – which could house a large portion of the human population. such stations might very well be essential to mankind’s future in the stars. there are also plans to construct a new nasa vehicle, the orion multi-purpose crew vehicle (mpcv), specifically for deep space exploration. expected to meet the constantly growing needs of human space exploration programs, orion may eventually carry astronauts to worlds far beyond earth’s orbit which no man has ever seen or set foot on. this century marks the dawn of a new era in exploration, and if we can muster the manpower and financial support, humankind will advance further than we’ve ever been from our home planet. buy signal from limit theorem yiqiao yin statistics department columbia university november 2, 2017 abstract this paper studies price actions in capital market as a random walk from limit theorems. through clear construction, we derive algorithms from a series of theorems to create standardized buy signals given a trader’s committed frequency to participate in the market. 1 introduction security prices follow random walk. although some scholars doubt the concept of efficient market hypothesis, there are fruitful amount of previous research exploring and studying this topic. some notable papers are by fama and french [2], [3], [4], and [5]. other scholars such as malkiel have also provided persuasive empirical evidence that we do observe data in favor of efficient market hypothesis [6]. an important contribution from yin (2017) [7] was the idea and theoretical notion of optimal level in security prices. their work raised a concept that the anomaly prices can be corrected which was a notion not yet discovered in the field of probabilistic price analysis. we took this notion as a foundation and further explore this field of security price random walk. we discovered that a series of constructions can be built to form standard normal distributions. we will further prove these results (see appendix) and develop a series of trade-able signals from these theories. the hunger for this type of work is necessary for the industry because conventional asset pricing models do not signal buyers when to involve in the market. moreover, for retail traders with a fixed trading frequency (assuming rational retail traders), it only makes sense for them to participate in the “low” prices consistent with their frequency. there is currently no models presenting us any algorithms in that sort. this motivates us to formalize these algorithms from theorems we developed and we aim to provide traders a consistent buy strategy so that one can trade, whatever strategy one trades, at a systematically low price. 2 theoretical framework in this section, we first present, in §2.1, the architecture of the theorems, which are discussed in §2.2. we formalize the theorems based on the notion of central limit theorems, which are proved in respect to the order of theorems in §5 appendix. continuing from the proved theorems, we provide the construction of a series of algorithms in §3. 2.1 architecture definition 2.1.1. for each company i at a time t, we observe a price, that is, pi,t (2.1.1) definition 2.1.2. sman = 1 n t−n∑ i=n pi,t−n (2.1.2) definition 2.1.3. let n be the same value from definition 2.1.2, denote eman = (pi,t − eman−1)×m+ eman−1 (2.1.3) while m = 2 n+1 . 2.2 theories theorem 2.2.1. for some n, suppose we have price by definition 2.1.1 and sma by definition 2.1.2, then we have pi,n − sman ⇒ χ (2.2.1) while χ is the stand normal distribution. theorem 2.2.2. let the distance between price and moving average to be d which is defined as di := pn − sman while i = n, and then we can consider di to be i.i.d. with edi = 0 and edi = σ2 ∈ (0,∞). then n∑ m=1 dm /( n∑ m=1 d2 m )1/2 ⇒ χ (2.2.2) while χ is the stand normal distribution. theorem 2.2.3. let the distance between price and moving average to be d which is defined as di := pn − sman while i = n, and then we can consider di to be i.i.d. with edi = 0 and edi = σ2 ∈ (0,∞). let sn = d1 + · · · + dn. let nn be a sequence of nonnegative integer-valued random variables and cn a sequence of integers with cn → ∞ and nn/cn → 1 in probability. then snn /σ √ an (2.2.3) where χ is a standard normal distribution. 1 buy signal from limit theorem [by yiqiao yin] §4 theorem 2.2.4. let the distance between price and moving average to be d which is defined as di := pn − sman while i = n, and then we can consider di to be i.i.d. with edi = 0 and edi = σ2 ∈ (0,∞). let sn = d1 + · · · + dn. let nt = sup{m : sm ≤ t}. then as t→∞, (µnt − t)/(σ2t/µ)1/2 ⇒ χ (2.2.4) while χ is the stand normal distribution. 3 algorithms this section we take the theorems above, from §2 theoretical framework, as given and we introduce a series of algorithms targeting buy signals. algorithm 3.0.1. given a buy frequency by an investor c, for all i in a stock pool of companies: step 1. observe price pt for each company step 2. store pi,t step 3. compute sman dn := pi,n − sman step 4. if dn ≤ c, print ”+1”; else, print ”0”. print a collection of ”+1” per company i per n. as the first algorithm in the section, it has a very intuitive understanding. one can simply observe price and computes its sma. then one needs to look at the difference between price and sma to know how often should he buy given that he has a fixed frequency. this is and will always be true because the difference of price and sma follows random walk, as stated in theorem 2.2.2 and proved in appendix. this means that this time-series difference we are looking at goes up or down but stay in the middle most often. such bell-shape curve can give as a precise probability distribution and we can mark down an exact price level given a frequency we want to participate in the market. algorithm 3.0.2. given a buy frequency buy an investor c, for all i in a stock pool of companies: step 1. observe price pt for each company step 2. store pi,t step 3. compute dn := pi,n − sman signaln := n∑ m=1 dm /( n∑ m=1 d2 m )1/2 step 4. if signaln ≤ c, print ”+1”; else, print ”0”. print a collection of ”+1” per company i per n. algorithm 3.0.2 takes algorithm 3.0.1 as a building block and expand the idea and we can normalized the distance (or difference) of summation of a series of distances by square root of its own value to construct buy signals. algorithm 3.0.3. given a buy frequency by an investor c, for all i in a stock pool of companies: step 1. observe price pt for each company step 2. store pi,t step 3. compute snn = d1 + · · · + dn, σ is the variance of di, self-normn := snn/σ √ an step 4. if self −normn ≤ c, print ”+1”; else, print ”0”. print a collection of ”+1” per company i per n. algorithm 3.0.2 brought up the notion of normalizing by square of its own value. it is also practical to normalize by itself, which is what algorithm 3.0.3 was attempting to do. algorithm 3.0.4. given a buy frequency buy an investor c, for all i in a stock pool of companies: step 1. observe price pt for each company step 2. store pi,t step 3. compute the mean µ and the variance σ, renewaln := (µnt − t)/(σ2t/µ)1/2 ⇒ χ step 4. if renewaln ≤ c, print ”+1”; else, print ”0”. print a collection of ”+1” per company i per n. besides notions of self-normalizing, we can also construct standard normal distribution by taking time, risk, and mean into consideration. such “renewal” process can be done without breaking the form of standard normal distribution. for traders who are interested in looking at more parameters, there is such freedom to do so. algorithm 3.0.5. given results from the above algorithms, that is, algorithms 3.0.1, 3.0.2, 3.0.3, and 3.0.4, run step 1. retreat (dn), (signaln), (self-normn), and (renewaln). step 2. each i, at any time t, compute buy : ∑ all signals := val(dn)+val(signaln) +val(self −normn) +val(renewaln) step 3. print(t); print(buy). that is, buy =  very heavy, b = 4 heavy, b = 3 not that heavy, b = 2 tiny, b = 1 do nothing, b = 0 page 2 buy signal from limit theorem [by yiqiao yin] §5 while b is a discrete time-series function of time t, i.e. b(t) : z→ {0, 1, 2, 3, 4}. 4 conclusion this paper starts with a strong motivation §1 and introduced the background of why we study security prices in such construction. next, we present a clear architecture, in §2, and a series of theorems under such building blocks. continuing with the results from theorems which we can collect empirically, we develop trade-able algorithms §3. in summary, we believe such algorithms can build a capital market with less risk (an anomaly corrector). for future reference, we believe our attempts also opened up a lot more potential research problems. for example, what would happen if everyone starts to use this strategy? another great question can be, what would be an ideal (although state-of-art) game plan after the algorithm tells traders to buy? in macro point of view, how would an economy perform in long run if one implements this strategy in a larger scale? what if an unknown outside monetary force enter the market and act as an anomaly, how would this algorithm deal with such situation? 5 appendix 5.1 proof of theorem 2.2.1 this is a relatively easy proof since the definition follow the premises of the central limit theorem. that is, we have pi,n and sman that are i.i.d.. then by c.l.t., pi,n−sman ⇒ χ while χ stands for standard normal distribution. q.e.d. 5.2 proof of theorem 2.2.2 from weak law we know that n∑ m=1 d2 m/nσ 2 → 1. also note y−1/2 s continuous at 1, then we have( σ2n / n∑ m=1 d2 m )1/2 → 1, in prob., see ?∑n m=1 dm σ √ n ( σ2n∑n m=1 d2 m )1/2 ⇒ χ · 1, from ? = χ notice that the ? is because in weak convergence, there is a theorem stated that xn ⇒ x∞ if and only if for every bounded continuous function g we have eg(xn)→ eg(x∞). since we discussed the continuity of function y−1/2 at 1, this line is valid. q.e.d. remark 5.2.1. from [1], section 2, the theorem stated the following. suppose xn ⇒ x, yn ≥ 0, and yn ⇒ c, where c > 0 is a constant, then xnyn ⇒ cx. 5.3 proof of theorem 2.2.3 from kolmogorov’s inequality we know p ( max (1−ε)cn≤m≤(1+ε)cn |sm − s[(1−ε)cn]| ) ≤ 2ε/δ2 if dn = snn /σ √ cn and yn = scn/σ √ cn, then it follows that lim sup n→∞ p (|dn − yn| > δ) ≤ 2ε/δ2,∀ε then we have p (|dn − yn| > δ) → 0 for each δ > 0, i.e., xn − yn → 0 in probability. this is because of the cnverging together lemma stated in weak convergence part of [1]. we state the theorem in remark below. q.e.d. remark 5.3.1. suppose xn ⇒ x and yn ⇒ c, where c is a constant then xn + yn ⇒ x + c. a useful consequence is that if xn ⇒ x and zn −xn ⇒ 0 then xn ⇒ x. 5.4 proof of theorem 2.2.3 from convergence theorem, we know that nt tµ → 1 so from theorem 2.2.3 we have sn − µnt σ √ t/µ → 0 then it is sufficient to show (sn − t)/ √ t→ 0 since it follows that (µnt−t)√ σ2t/µ ⇒ χ. we have given finite variance, that is, σ2 < ∞, so by d.c.t. (dominated convergence theorem), we have p ( max 1≤m≤2tµ ym > ε √ t ) = 2t µ p (y1 > ε √ t) = 2 µε2e(y 2 1 ;y1 > ε √ t)→ 0 which proves that (sn − t)/ √ t → 0 is true. hence, this completes the proof. remark 5.4.1. this is because of the converging together lemma stated weak convergence. please see remark 5.3.1. q.e.d. page 3 buy signal from limit theorem [by yiqiao yin] §5 references [1] durrett, rick, “probability: theory and examples ”, 4e. [2] fama, eugene f. (1992), “the cross-section of expected stock returns,” journal of finance, 47, 427-465. [3] fama, eugene f. (1993), “common risk factors in the returns on stocks and bonds,” journal of financial economics, 33, 3-56. [4] fama, eugene f. (1996), “multifactor portfolio efficiency and multifactor asset pricing,” journal of financial and quantitative analysis, 31, 441465. [5] fama, eugene f. (2006), “profitability, investment, and average returns,”, journal of financial economics, 82, 491-518. [6] malkiel, burton g. (2007), “reflections on the efficient market hypothesis: 30 years later,” the financial review, 40, 1-9. [7] yin, yiqiao (2017), “anomaly correction by optimal trading frequency”, cusj, page 4 introduction theoretical framework architecture theories algorithms conclusion appendix proof of theorem 2.2.1 proof of theorem 2.2.2 proof of theorem 2.2.3 proof of theorem 2.2.3 microsoft word document3 articlevolume 2, spring 2007 differentiation of two species of mullerian inhibitory substance (mis) andrew r bader1, douglas lim2, david maclaughlin3 1 columbia college, columbia university, 2 clarkson university, 3 pediatric research laboratory, massachusetts general hospital abstract muellerian inhibiting substance (mis), also known as anti-muellerian hormone, is a testicular protein responsible for the regression of the mullerian duct. in vivo and in vitro experiments using mis have shown it to inhibit the growth of various tumors, including certain ovarian cancers. two approaches to purifying the product have been used, immunoaffinity purification and chromatography. the purified products were tested for affinity to binding sites using the enzyme linked immunoabsorbent assay (elisa). the goal of this study was to test the theory that the two mis proteins identified, termed iap and q, were different on structural and molecular levels. the results of these investigations reveal the existence of two distinct types of mis differentiated by elisa which based on future study may have different impacts as cancer treatment agents. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 22 classification of neocortical neurons using affinity propagation naureen ghani1*, rafael yuste2 1the fu foundation school of engineering and applied science, columbia university, new york, ny, usa; 2department of biological sciences, the kavli institute for brain science, columbia university, new york, ny, usa abstract determining the circuitry of the neocortex requires an understanding of its components, which in turn necessitates a classification scheme of neocortical neurons. the neocortex consists primarily of excitatory pyramidal neurons (~80% of neocortical neurons) and inhibitory interneurons (~20% of neocortical neurons). neocortical interneurons are ideally positioned to control circuit dynamics. gabaergic interneurons, in particular, largely contribute to the vast morphological and physiological variability of the cortex. however, much is still not known regarding these interneurons. here we use unsupervised learning methods, such as pca followed by k-means analysis, to create quantitative and unbiased classification schemes. we explored the use of affinity propagation, a novel exemplar-based method of cluster analysis, to quantitatively classify a diverse set of 337 neocortical interneurons. each neuron was characterized by wholecell recordings done by patch-clamping and complete 3d anatomical reconstructions. it was revealed that each interneuron subtype is characterized by a unique set of morphological and electrophysiological features that allowed for specialized function within the neocortical circuit. affinity propagation may then be used to classify neurons, the first step to reverse engineer a neocortical circuit. introduction developmental neuroscience is an emerging field that harnesses powerful computational and mathematical techniques to model the brain. the goal of our research is to build a classification scheme of all neocortical neurons in a major effort to determine the circuitry of the neocortex. the neocortex is the top layer of the cerebral hemispheres and is about 2 to 4 mm thick. it is composed of six layers, labeled i to vi (with i being the outermost layer and vi being the innermost layer). along with the archicortex and paleocortex, the neocortex is one of three components of the cerebral cortex, accounting for 76% of the volume of the cerebral cortex. the neocortex is one of the most significant components of the brain and is involved in higher mental functions such as perception, memory, imagination, language, and music. since the neocortex participates in such a vast array of computational tasks, it is often compared to a parallel computer, which can carry out multiple calculations simultaneously. the underlying principle of parallel computing is that large problems can be divided into smaller ones, which are then solved concurrently or “in parallel.” in other words, many computing elements are wired together and then operate in parallel. furthermore, for every computing element added, it is often necessary to add new wires from the new addition to existing elements. thus, the number of wires increases much more rapidly than the number of computers: 3 wires for 3 computers, 6 wires for 4 computers, 10 wires for 5 computers, and so on. extending this analogy to the brain, we would need a brain the size a football field to encompass billions of neurons (biological computing elements) that are all wired together. a real brain however selectively wires neurons together, omitting any unneeded wires (axons) for proper function. this simple mathematical analogy hints at many aspects of the brain. for instance, as mammals grow larger with evolution, the brain similarly increases in size, and the “cost” of wires grows severe. neuroanatomical studies have quantitatively shown that the number of copyright: © 2014 the trustees of columbia university, columbia university libraries, some rights reserved, ghani, et al. received 1/1/2014. accepted 3/14/2014. published 3/14/14. *to whom correspondence should be addressed: naureen ghani, columbia university, new york ny 10027, email: ng2410@columbia.edu. neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 23 axons varies greatly region to region in the brain; some areas are heavily linked to others with massive axon tracts while others are far less strongly linked. many strides have been made in understanding the formation and function of neocortical circuits using detailed morphological and electrophysiological analyses of the neurons. each of these model circuits differ greatly in form and content, however, because they each have different theoretical and experimental considerations. for historical reasons, many early neocortical circuit models are based on data from cat and primary visual cortex. in recent years, the rat somatosensory cortex has grown in prominence as a tool for understanding the cortex. the idea of a canonical circuit has previously been applied to aspects of the vertebrate brain and spinal cord. it is highly relevant to questions of evolution, development, and homology of form and function. supporting this idea is the close similarities in basic organization across vertebrate brains. similarly, recognizable neuronal subtypes have been found across the neocortices of different mammalian species15. for these reasons, we hypothesize the existence of a canonical cortical microcircuit and it implements a relatively simple computation. to create a neocortical circuit model, a classification scheme must first be established to outline the components of the cortex. in the past, cell type classification was qualitative and led to inconsistent subtypes. in recent years, the standard method for classification of neurons has been quantified through unsupervised cluster analysis2, 4, 7, 8, 9, 11, 12. unsupervised cluster analysis is the classification of a set of data or objects into subsets (clusters) so that the data in each subset shares a common feature without any prior knowledge. one widely-used technique has been ward’s method with hierarchical clustering. hierarchical agglomerative clustering is a bottomup technique and begins by grouping the two “closest” cells as defined by the algorithm, and then continues to join the next “closest” cells and so forth. this method does not require specifying the number of clusters in advance and generates smaller clusters that may be helpful for discovery. however, one of the main disadvantages of hierarchical clustering is that once two cells are linked, they remain joined together in the final hierarchy. moreover, hierarchical clustering is susceptible to a chaining effect in which objects may be “incorrectly” assigned to a cluster at an early stage instead of being grouped in new clusters. additional clustering techniques include k-means analysis k-metoids analysis, and affinity propagation. in k-means, each cluster is represented by the center of the cluster and in kmetoids analysis, each cluster is represented by one of the objects in the cluster. affinity propagation is one of the most recently developed unsupervised clustering techniques. each data point is viewed as a node in a network, and realvalued messages are transmitted between the data points until a set of exemplars and corresponding clusters is determined by the algorithm. thus, at any point in time, the magnitude of each message reflects the current affinity that one data point has for choosing another data point as its exemplar, hence the name of “affinity propagation”6. in this work, we explore the application of affinity propagation to classification of neocortical neuronal subtypes. the algorithm was used to blindly classify a test dataset of four interneuron subtypes. the dataset included unlabeled cells in addition to known cells, the latter serving as a ground truth. the dataset is comprised of 67 morphological variables and 20 electrophysiological variables describing (1) parvalbumin-positive (pv+) basket cells (bc), (2) pv+ chandelier cells (chc), (3) somatostatinpositive (som+) martinotti cells (mc), and (4) som+ non-martinotti cells (non-mc) as previously described in research12. we found that affinity propagation generates a fair classification in separating these four known interneuron subtypes and may be a powerful classification tool in discovering or defining neuronal cell types. materials and methods preparation of brain slices acute brain slices were prepared from nkx 2.1, g42, or gin mice, with an average of 15 postnatal days (range p13 – p25). mice were immediately decapitated, the brain was removed and then immediately placed in a cold sucrose cutting solution (222 mm sucrose, 2.6 mm kcl, 27 mm nahco3, 1.5 mm nah2p4, 0.5 mm cacl2, 3 mm mgso4, bubbled with 95% o2, 5% co2). coronal slices of 300 μm thickness were cut using a vibratome and then transferred to a neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 24 holding chamber at room temperature with oxygenated acsf (126 mm nacl, 3 mm kcl, 3 mm mgso4, 1 mm cacl2, 1.1 mm nah2po4, 26 mm nahco3, and 10 mm dextrose, bubbled with 95% o2, 5% co2). the slices were left to equilibrate with the room temperature for at least 30 minutes. slices were then transferred to a recording chamber with the perfusion of acsf bubbled with 95% o2, 5% co2. transgenic mouse lines to identify different types of interneurons, we used three transgenic mouse lines. first, we used the g42 line that labels pv+ cells2. pv+ cells are rapid spiking interneurons with basket or chc morphology. we are able to identify basket cells from chandelier cells by their distinctive morphologies and threshold spiking responses. in addition, the chandelier cells have specially shaped axon arbors, in which axon terminals form distinct arrays called “cartridges” that we can visualize via gfp17. the nkx2.1 line labels a population of interneurons that express the transcription factor nkx 2.1, which includes interneurons that migrate from the medial ganglionic eminence (mge), most notably chcs17. a significant proportion of the chc cells were found at the top of layer ii, close to the layer i border, in both the g42 and nkx 2.1 lines17. finally, we used the gin line to label som+ cells12. som+ cells are regular spiking interneurons with diverse morphology. in previous work, we determined three unique subtypes of som+ interneurons in gin mice based on morphology and physiology: martinotti cells and two novel subtypes12. as a result, we now distinguish between martinotti cells (mc) and two novel subtypes (non-mc). electrophysiology recordings brain slices were placed in a recording chamber at room temperature with a constant supply of oxygenated acsf. pipettes of 3-7 mω resistance were pulled from borosilicate glass. whole cell recordings of cells were obtained using patchclamping. only cells with a healthy resting membrane potential (between -55 and -80 mv) were selected for recording. electrophysiological analysis 20 variables were measured for each neuron by analysis of the recordings in matlab. the petilla terminology scheme was used to name each variable describing firing and passive properties1. see appendix 1 for descriptions. histological procedure neurons were filled with biocytin by a patch pipette. slices were kept overnight in 4% formaldehyde in 0.1m phosphate buffer (pb) at 4°c. slices were then rinsed three times for five minutes per rinse on a shaker in 0.1m pb. they were then placed in 30% sucrose mixture (30g sucrose dissolved in 50 ml ddh2) and 50 ml 0.24m pb per 100 ml) for 2 hours and then frozen on dry ice in tissue freezing medium. the slices were kept overnight in a -80°c freezer. after defrosting, the slices were rinses in 0.1m pbthree times, twenty minutes each, to remove tissue freezing medium. slices were then incubated in 1% hydrogen peroxide in 0.1m pb for thirty minutes to pretreat the tissue. they were then rinsed twice in 0.02m potassium phosphate saline (kpbs) for twenty minutes. afterwards, the slices were kept overnight in avidin-biotin-peroxidase complex. the slices were next rinsed three times in 0.02m kpbs ((0.7 mg/ml 3,3” diaminobenzidine, 0.2 mg/ml urea hydrogen peroxide, 0.06m tris buffer in 0.02m kpbs) ) for 20 minutes each. each slice was observed under a light microscope and then mounted onto a slide using crystal mount. three-dimensional neuron reconstruction and morphological analysis three-dimensional reconstructions of successfully filled and properly stained neurons were done using neurolucida software (microbrightfield). the neurons were viewed with a 100x oil objective on an olympus bx51 upright light microscope. differential interference contrast (dic) microscopy was employed to see otherwise invisible features of the sample. the neuron’s processes were traced manually while the program recorded the coordinates of the tracing, thus creating a three-dimensional reconstruction. in addition to the neuron, the pia and white matter were drawn. the neurolucida explorer program was used to measure 67 morphological variables of the reconstruction describing somatic, neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 25 dendritic, and axonal properties. see appendix 2 for descriptions. affinity propagation affinity propagation is a clustering algorithm based on “passing messages” between data points6. it aims to combine the advantages of affinity-based clustering and model-based clustering. affinity propagation is similar to kmetoid clustering in that both algorithms output “exemplars” that either serve as representative data or the centers of the clusters. unlike kmetoid clustering, the exemplars are not chosen randomly in affinity propagation. affinity propagation takes an input of real-valued similarities between data points, where the similarity s(i,k) indicates how appropriate a data point is to serve as an exemplar for data point i. negative euclidean distance is used to measure similarity to minimize squared error: for points xi and xk, s(i,k) = −||xi − xk||2. the key advantage of affinity propagation is that it does not require the number of clusters to be specified beforehand, unlike k-means cluster analysis. instead, affinity propagation takes as input a real number s(k,k) for each data point k, such that data points with larger values of s(k,k) are more likely to be selected as exemplars. there are two types of messages exchanged between data points. the first type called the “responsibility” r(i,k), is sent from data point i to candidate exemplar point k, and represents how well-suited point k is to serve as the exemplar for point i, compared to all other potential exemplars for point i. the second type, called the “availability” a(i, k), is sent from candidate exemplar point k to point i, and reflects the compiled evidence for how appropriate it would be for point i to choose point k as its exemplar, taking into account the support from other points that point k should be an exemplar. r(i,k) and a(i, k) can be viewed as log-probability ratios. initially, the availabilities are initialized to zero: a(i, k) = 0. then, the responsibilities are computed as: availabilities will eventually fall below zero as points are assigned to other exemplars. this will decrease the effective values of the input similarities, removing candidate exemplars from the competition. whereas the competition is data-driven for responsibilities and all the candidate exemplars compete for the ownership of a data point, the availability update gathers evidence from data points as to which candidate exemplar would make a good exemplar. the availability a(i,k) is set to the self-responsibility plus r(k, k) plus the sum of the positive responsibilities candidate exemplar k receives from other points: self-availability a(k, k) reflects evidence that k is an exemplar based on positive responsibilities sent to candidate exemplar k from other points: to evaluate the quality of a clustering produced by affinity propagation, we considered two aspects: (1) the number of points that are correctly classified (2) the number of clusters with affinity propagation, we make the assumption that the identities of the exemplars are known, and so the number of correctly classified points may artificially increase. therefore, we compute the classification accuracy as the ratio between correctly classified points (excluding the exemplars) and the total number of points (excluding the exemplars). in addition, a low number of clusters is preferred. results database of three known interneuron subtypes we explored the use of affinity propagation to classify neocortical interneurons based on their morphological and physiological properties. in order to test the affinity propagation algorithm, we used a dataset where the identities of the neurons were known from previous studies12, 13, 17. more specifically, we used a physiology database that contained 337 interneurons distributed as: 57 somatostatinpositive cells (som+), 87 chandelier cells (chc), and 193 parvalbumin-positive cells (pv+). the morphology database consisted of 111 interneurons distributed as: 24 chc, 55 som+ and 32 pv+. lastly, there were 51 neurons in a neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 26 database that consisted of both morphology and physiology variables, formed by an intersection of the two databases. its distribution was: 12 pv+, 16 som+ and 23 chc. affinity propagation classification of interneuron morphologies the analysis of the morphology database resulted in 2 clusters (figure 1). the first cluster consists of 84 neurons while the second cluster had 27 neurons. the first cluster had an exemplar of member 42, a som+ interneuron. it consists of: 22 chc, 32 som+ and 30 pv+. even though this cluster has an exemplar of som+ subtype, this cluster encompasses all the pv neurons with an accuracy of 93.75%. however, it only classifies 26.19% of the som+ interneurons correctly. the second cluster consists of: 2 cc, 23 som+ and 2 pv+. its exemplar is member 83, a som+ neuron. thus, 85.9% of the som+ neurons were correctly classified. this suggests that the second cluster with an exemplar of member 83 is truly representative of som+ neuronal subtype while the first cluster is representative of the pv subtype. figure 1: using 20 electrophysiological variables, 110 interneurons were classified into 2 clusters by affinity propagation where the exemplars are members 42 and 83. affinity propagation classification of interneuron physiologies the analysis of the physiology database revealed 3 distinct clusters (figure 2). the first cluster consisted of 57 som+ neurons with an exemplar of member 21, also a member of the som+ subtype. hence, 100% of the som+ neurons were correctly classified by the affinity propagation algorithm. the second cluster consisted of 8 pv+ and 87 cc neurons, where the exemplar was a part of the cc class (member 322). it correctly classified 90.80% of the cc neurons. the third cluster consisted of 142 cc and 51 pv+ and had an exemplar of 326, a member of the pv class. while the exemplar was representative of the pv+ subtype, only 26.42% of the pv+ neurons were correctly classified. figure 2: using 67 electrophysiological variables, 337 interneurons were classified into 3 clusters by affinity propagation where the exemplars are members 21, 322, and 326. affinity propagation classification of interneuron joint databases the analysis of the interneuron joint database resulted in 2 clusters (figure 3). the first cluster consisted of: 6 pv, 8 som, and 17 cc. the exemplar was member 4, a member of the pv subtype. it correctly classified a mere 19.37% of pv neurons. the second cluster consisted of: 6 pv, 8 som, and 6 cc. the exemplar was member 38, a member of the cc subtype. only 30% of the cc neurons were correctly classified. neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 27 figure 3: using 67 morphological variables and 20 electrophysiological variables, 50 interneurons were classified into 2 clusters by affinity propagation where the exemplars are 4 and 48. discussion affinity propagation: an exploratory tool for classification of neural data in this study, we have explored the use of a new algorithm, affinity propagation, for the classification of neuronal data. we used a database of 337 neocortical gabaergic interneurons. interneurons previously identified served as a ground truth, and acted as a measure for how accurate the algorithm was. the data was based on a collection of morphological and physiological data for each neuron. the classification accuracy we found was 0.56 for the physiology database, 0.45 for the morphology database, and 0.40 for the combined morphology + physiology database. the accuracy consistently decreased with a smaller data set, containing less information on neurons. the affinity propagation algorithm is able to consistently distinguish somatostatin neurons as a unique class among all three databases. however, difficulty arose s when the algorithm is asked to differentiate between chandelier cells and parvalbumin cells. in the morphology database and the combined database, the cells were grouped into a single cluster consisting of large components of both chandelier cells and parvalbumin cells as opposed to two distinct clusters. after simplifying the database to include only chandelier cells and parvalbumin cells, while excluding somatostatin-positive cells, the affinity propagation algorithm is able to separate the cells into two clusters but with low accuracy (< 0. 50 for physiology database, the largest database was used). the inability of the affinity propagation algorithm to separate chandelier cells and parvalbumin cells may be due to a number of potential reasons. one reason is that the chandelier cells and parvalbumin cells are morphologically and physiologically similar to one another. recent research shows that chandelier neurons are a subset of gaba-ergic cortical interneurons that are said to be parvalbumincontaining and fast-spiking when innunostained16, thus distinguishing them from other gabaergic neurons, . even though chandelier cells are truly distinct from other gabaergic neurons based on morphology with their unique axonal arbors, the affinity propagation algorithm correctly picks up this assumption. our observations may also be explained by potential sources of error. with a smaller dataset, the affinity propagation algorithm greatly decreased in accuracy. an additional error found in the dataset was that some of the measurements of input resistance were incorrectly normalized. the values less than 1 for resistance are reported in giga ohms while the values greater than 20 are reported in mega ohms. despite the moderate success of affinity propagation algorithm, we have insufficient evidence to reject it as an exploratory tool for neuronal classification. with a large enough dataset encompassing a much greater number of interneuron subtypes, we may be able to improved classification by affinity propagation. such a dataset is in progress as we are manipulating the windows application programming interface (api) in an effort to automate the extraction of morphological data from neuroexplorer. we have automated the clicks necessary to obtain the data of 67 morphological variables from a single neuron but we would like to implement this for the entire extraction process. our goal is to create a dataset encompassing an estimated 1000 neurons of diverse interneuron subtypes, each characterized by an anatomical 3d reconstruction and whole-cell patch-clamp recording. one great issue with classification schemes of neocortical neurons is that many markers, often transcription factors, exist to label neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 28 interneuron subtypes while there are few known markers to label pyramidal neurons. moreover, pyramidal neurons account for a much larger percentage of the neocortex compared to interneurons (~ 4x as much). in the future, we would like to create an algorithm that separates pyramidal neurons from interneurons and will continue to research ways to classify pyramidal neurons. affinity propagation and additional machine learning techniques have the potential to serve as powerful exploratory tools to build such classification schemes. references 1. ascoli, g.a.; alonso-nanclares, l.; anderson, s.a.; barrionuevo, g.; benavides-piccione, r.; burkhalter, a.; et al. (2008). petilla terminology: nomenclature of features of gabaergic interneurons of the cerebral cortex. nat. rev. neurosci. 9, 557–568. 2. cauli, b.; audinat, e.; lambolez, b.; angulo, m.c.; ropert, n.; tsuzuki, k.; et al. (1997). molecular and physiological diversity of cortical nonpyramidal cells. j. neurosci. 17, 3894–3906. 3. chattopadhyaya, b., di cristo, g., wu, c.z.; knott, g.; kuhlman, s.; fu, y.; et al. (2007). gad67-mediated gaba synthesis and signaling regulate inhibitory synaptic innervation in the visual cortex. neuron 54, 889–903. 4. defelipe, j. ; lópez-cruz, p.; benavidespiccione, r.; bielza, c.; larrañaga, p.; anderson, s.; et al. (2013). new insights in the classification and nomenclature of cortical gabaergic interneurons. nat. rev. neurosci. 14, 202–216. 5. douglas, r.j. and martin, k.c. (2004). neuronal circuits of the neocortex. annual reviews of neuroscience 27, 419-451. 6. frey, b.j. and dueck, d. (2007). clustering by passing messages between data points. science 315, 972–976. 7. helmstaedter, m.; sakmann, b.; and feldmeyer, d. (2009). l2/3 interneuron groups defined by multiparameter analysis of axonal projection, dendritic geometry, and electrical excitability. cereb. cortex 19, 951– 962. 8. karagiannis, a.; gallopin, t.; david, c.; battaglia, d.; geoffroy, h.; rossier, j.; et al. (2009). classification of npyexpressing neocortical interneurons. j. neurosci. 29, 3642– 3659. 9. karube, f.; kubota, y.; and kawaguchi, y.; (2004). axon branching and synaptic bouton phenotypes in gabaergic nonpyramidal cell subtypes. j. neurosci. 24, 2853–2865. 10. liu, j.h.; hansen, d.v.; kriegstein, a.r.; development and evolution of the human neocortex. cell. 2011 july 8. 146(i): 18-36. 11. ma, y., hu, h., berrebi, a.s., mathers, p.h., and agmon, a. (2006). distinct subtypes of somatostatin-containing neocortical interneurons revealed in transgenic mice. j. neurosci. 26, 5069–5082. 12. mcgarry, l.m.; packer, a.m.; fino, e.; nikolenko, v.; sippy, t.; and yuste, r. (2010). quantitative classification of somatostatinpositive neocortical interneurons identifies three interneuron subtypes. front. neural circuits 4:12. 13. packer, a.m.; and yuste, r. (2011). dense, unspecific connectivity of neocortical parvalbumin-positive interneurons: a canonical microcircuit for inhibition. j. neurosci. 31, 13260–13271. 14. oliva, a.a. jr.; jiang, m.; lam, t. ; smith, k.l., ; and swann, j.w.; (2000). novel hippocampal interneuronal subtypes identified using transgenic mice that express green fluorescent protein in gabaergic interneurons. j. neurosci. 20, 3354–3368. 15. ramón y cajal, s. (1911). histologie du systeme nerveux de l'homme et des vertebres. vol. 2. paris: maloine. 16. taniguchi h.; lu j.; huang z.j.; (2013). "the spatial and temporal origin of chandelier cells in mouse neocortex". science 339 (6115). 17. woodruff, a.; xu, q.; anderson, s. a.; and yuste, r. (2009). depolarizing effect of neocortical chandelier neurons. front. neural circuits 3:15. neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 29 appendices appendix 1: electrophysiological variables. action potential properties measured from response to twice threshold, 500-ms current injection from first action potential (ap1) and second action potential (ap2). ap2 variables not listed as the same measurements were made for ap2 as listed for ap1. appendix 2: morphological variables. variables were extracted using the neurolucida explorer program by microbrightfield. neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 30 appendix 3: using 20 electrophysiological variables, 337 interneurons were visualized by creating the scatter plot matrix above of the two principal components of the neuronal data. appendix 4: using 20 electrophysiological variables, a color map was made of 337 interneurons and hierarchical clustering was done, revealing 3 distinct clusters as did affinity propagation. neuroscience columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 31 cherenkov telescope array mirror alignment report francis toriello1* 1the veritas group, department of physics, columbia university, new york, ny, usa introduction the cherenkov telescope array (cta) is a groundbased observatory for gamma rays with very high energy characteristics within the range of 10 gev to 100 tev. it is currently still under development. as the title of the project suggests, it takes advantage of the cherenkov radiation that is produced by the gamma ray’s interaction with the earth’s upper atmosphere, similar to the guiding physical principles of veritas. the primary differences are that cta will feature more telescopes and possess a larger energy range. cherenkov radiation will be collected by an array of dozens of optical telescopes of various sizes. these optical telescopes will be composed of hexagonal mirrors that must be aligned relative to each other so as to represent the shape of the telescope as a whole properly. it was in this area of research that my efforts were focused. the most recent proposed system with which to align the mirrors consists primarily of a laser and a webcam. sixty to three hundred snapshots are taken of the laser and the position of the laser’s centroid in each frame is measured and analyzed by a custom-written computer program executed via root. one to ten microns was the ideal resolution that was required of the system to meet the needs of this project. since the position of the laser’s centroid was given by pixel number, it was necessary to determine the ratio of pixels to millimeters via another root program described in more detail on the following pages. it was also necessary to ensure by using an opencv analysis program that the pixels were not saturated. as will be shown, the consequences of saturation are bothersome edge effects that produce erroneous results. materials and methods apparatus (basic setup) 1. standard webcams (various models) 2. voltage supply 3. laser diode 4. l.e.d. 5. iris 6. calorimeter 7. diffuser 8. actuators results the first task at hand was to determine if the pixels were saturating, since this was the prime suspect of the following odd results: copyright: © 2014 the trustees of columbia university, columbia university libraries, some rights reserved, toriello. received 1/1/2014. accepted 3/14/2014. published 3/14/14. *to whom correspondence should be addressed: francis toriello, columbia university, new york ny 10027, email: fet2105@columbia.edu. physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 32 the data shown above represent a series of three hundred successive photos of a static laser with an applied voltage of 4v and a calorimeter setting of 2mm. as may be seen, the centroid does not appear to be very well behaved. in fact, it appears as though it moved dramatically in the first 100 frames as may be seen in the upper right hand graph. as previously mentioned, the prime suspect for this odd result was pixel saturation. below is one of the photographic images of this 4v 2mm laser point rendered by the webcam itself. the pure white center represents clear evidence of saturation. the more disconcerting feature of this, however, is the ring of reflected light visible around the edge of the iris. these are edge effects due to saturation that cause the centroid to appear to move when it has, in fact, not done so. this problem was made most apparent after writing an opencv executed program that analyzed this very image and produced a histogram consisting of the amount of pixels versus the intensity values they maintain (see image below): as can be seen, there is an initial spike at zero intensity. this spike represents the pixels that make up the area outside the iris while the spike all the way to the right, at the 255 mark, represents the saturated pixels that can be found at the center and throughout the image. the ideal (and necessary) situation is to have no pixels saturating or otherwise stated at the 255 intensity mark in the above graph. at the time we were using a calorimeter that possessed a smallest possible aperture of 0.1mm. we found that, even with this smallest aperture and various voltage values, there was still saturation that, in effect, would produce erroneous results as shown previously. we were finally able to eliminate saturation by using a different calorimeter that possessed a smallest possible aperture of zero millimeters. we used the very same 4v laser except with an aperture of less than 0.1mm, achieving successful results shown below. physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 33 while the exact values accompanying the above image are admittedly difficult to decipher, it is clearly apparent in the first two upper left hand graphs that the laser’s centroid is much more defined and better behaved. in fact, the sigma value for the x value of centroid is 0.06657+/0.00215 pixels while the sigma value for the y value is 0.1029+/-0.0040 pixels. this discrepancy is bothersome since both the x and y value should be the same. however, this could be due to a slight tilt of the camera that would affect the geometry in such a way as to elongate the spot subtly in the y direction. the x sigma value, however, is auspicious as it falls within the few micron range that is required of the position resolution we are seeking. the next task involved determining the pixel to millimeter ratio so we could obtain a better sense of the positional resolution provided by the sigma values previously mentioned and whether or not the pixels are square. this required performing two linear scans in which the camera is moved by the actuators in increments of .5mm in the x direction and then once again in the y direction. the slope of the fitted line should yield the amount of pixels per millimeter and both slopes should be equal to one another if the pixels are indeed square (see images below). as may be seen, both linear scans produce an approximate slope of 48.31 pixels/mm showing that the pixels are square and that our x sigma value of 0.06657 pixels translates to approximately one micron while our y sigma value of 0.1029 pixels translates to approximately two microns, both well within the range of our desired positional resolution. the second graph of each scan (position vs. deviation from fit) gives us an idea of the mechanical uncertainty of the apparatus; that is the uncertainty introduced once the apparatus is set in motion. we see that in both physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 34 scans there is a spread amongst the values of approximately .5 pixels or 10 microns. of course, this is subject to change as the setup we were using is far from the configuration that will eventually be used in the field. once the pixel to millimeter ratio was determined, the next task required us to confirm the apparent positional resolutions provided by the sigma values. this was achieved by performing a scan in the x direction similar to that of the previous linear scan. however, the difference this time was that, instead of keeping constant the increments by which the camera moved, we instead halved the distance every time. if our positional resolution was indeed approximately one micron then, once the increments reach one micron and below, the program should fail to recognize any change in position (see image below). as may be seen in the second position vs. deviation from the fit graph, there is a point very close to two millimeters where we reach the limit of our positional resolution. that position is actually 1.999023188 mm, exactly the point where the change in position dips below one micron (9.765625 x 10^-4 mm) as was apparent in the table of data used to create these graphs. therefore these results show that the positional resolution achieved was, in fact, approximately one micron (with regards to the x value of the centroid). to get a better idea of the mechanical uncertainty, a series of diagonal scans were performed. just as the name implies, these were contemporaneous scans in both the x and y direction. we should see the same mechanical uncertainty of approximately 10 microns or .5 pixels that had been reflected in the linear scans. y-centroid behavior: x-centroid behavior: notice that, similar to the linear scan in the x-direction, the x-centroid behavior yields a mechanical uncertainty of approximately .5 pixels or 10 microns (given by the spread of points in the position vs. deviation from fit graph) while the physics columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 35 y-centroid behavior yields a mechanical uncertainty of approximately 3.5 pixels or 73 microns. this discrepancy is similar to the difference between the x sigma and the y sigma mentioned earlier. it was determined that this inconsistency could also be due to some very slight tilt of the camera that may affect the geometry of the how the laser beam impinges on the camera’s lens. the next task required testing other webcams of similar design in order to evaluate the robustness of the current configuration of the apparatus. for the sake of brevity i have excluded these results as they were very similar to previous ones. the last task we completed before the end of the semester was the evaluation of an alternate light source, a light emitting diode. due to the fact that the light emitted from an led is considerably more spread and less concentrated, it was necessary to build a makeshift housing unit in which we passed the light though two custommade calorimeters, both of which, of course, possessed an aperture of less than 0.1mm. we proceeded to taking sixty successive images of the led laser point and analyzing them in much the same fashion as we had done for the three hundred successive photos of the 4v laser diode. the results are no doubt promising as, much like the laser diode, a well-defined centroid is reflected in the analysis as can be seen in the first two upper left hand graphs. we get an xsigma value of 0.0666 +/0.0161 pixels or once again approximately one micron and a y-sigma value of 0.09032 +/0.01511 pixels or once again approximately two microns. discussion in our final analysis, the use of webcams while promising is not without its discrepancies, such as the difference between x and y positional resolutions given by their respective sigma values, and it reflected some mechanical uncertainties. it is of interest to me why, when the linear scans were not diagonal but done separately and dedicated to one direction at a time(x or y), the same mechanical uncertainty of about 10 microns was reflected by both the x and y scans while this did not occur for the diagonal scans. if the geometrical argument that i have proposed throughout this report is correct, then perhaps some corrective measure may be investigated during further research anticipated to be done in months to come. with regard to most recent developments concerning the leds, it would be interesting to perform some diagonal and linear scans to not only gain a more advanced understanding of how we may use these light sources, but also to see if these discrepancies persist, and in effect learn more about them and the subtleties of the system as a whole. physics microsoft word cusj 21.docx ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 21 abstract — nilotinib (tasigna) is a drug used to treat chronic myelogenous leukemia (cml), a disease which currently affects over 100,000 people in the u.s. the drug is manufactured by novartis and has been one of its most profitable, bringing in a total revenue of well over $2 billion usd in 2016. novartis’s patent on tasigna is set to expire in 2023 and cheaper, generic versions of the drug will soon be in great demand. an assessment of novartis’s existing patent on the synthesis of tasigna indicates many drawbacks in the current process. namely, the novartis synthesis requires multiple days of reaction, nearly a dozen steps, multiple solvent switching processes, and gives very low yields. on the other hand, work published by buchwald and coworkers has shown an efficient method of synthesizing nilotinib in fewer than four steps, in less than 24 hours, and at >85% yields. unfortunately, the buchwald reaction has only ever been applied in a laboratory setting and has never been scaled to an industrial level. thus, it was the goal of this investigation to develop an industrially scaled, flow-based synthesis of the buchwald synthesis of nilotinib. for this investigation, our team assumed the role of a generic pharmaceutical company with a hypothetical goal of producing 15% of the u.s. market share of nilotinib (1150 kg of nilotinib/year). utilizing chemical reaction modeling software, chemcad, a chemical process for the large scale buchwald synthesis of nilotinib was successfully designed at the 1150 kg production capacity of the active pharmaceutical ingredient of nilotinib per year. economic analysis demonstrated the fiscal viability of this process with estimated gross revenue of >$250 million usd/year even with a predicted 60% drop in generic drug price factored in. this, we envision, would serve as an important improvement in the efficiency of industrial level synthesis of a life-saving cancer drug. i. introduction the use of tyrosine kinase inhibitors (tkis) to treat chronic myeloid leukemia (cml) has been one of the greatest breakthroughs in modern oncology. the advent and introduction of tkis into the clinic has extended 8year survival rates of patients with cml from <15% in the 1980s to nearly 90% in 2012 (kantarjian et al., 2012). even today, over 10,000 people each year are newly diagnosed with cml and the vast majority, if not all, of these patients will rely on tkis (national cancer institute, 2014). the patent for novartis’s original first-generation tki, known as gleevec (imatinib), expired in 2016. to mitigate its loss of profit and market share, novartis developed a second-generation tki known as tasigna (nilotinib), shown in fig. 1. tasigna is designed to be more potent in treating cml than its first-generation counterpart and also addresses many of the challenges of chemotherapy resistance that were faced by gleevec (huang et al., 2007). tasigna received its final fda approval to treat cml in 2010. however, novartis’s patent on tasigna is set to expire in 2023. this makes it a particularly opportune time to plan the development of generic versions of tasigna so that once novartis’s patent on the production of tasigna expires, generic production can begin immediately. in 2015 tasigna represented 12.8% of the current market share of all tki drugs for cml (bloudek et al., 2015). additionally, it is currently predicted that the incidence of cml will increase with an estimated prevalence of 112,000 patients in the us by 2020 (cortes et al., 2012). by the year that novartis’s patent on tasigna expires, it would be expected that there will be at least 140,000 patients with cml in the us in need of treatment. the cost on the patient to take tasigna for one year is approximately $100,000, highlighting the importance of quickly bringing generic versions of the drug to market once the novartis patent expires in order to reduce patient financial burdens. the large reliance of cml patients on tki drugs in addition to the prohibitively expensive price of current tasigna treatments highlights the great market potential and demand for developing a generic, cheaper version of tasigna and thus, will be the focus of our investigation. figure 1. structure of nilotinib. here, we outline our unique process design for an industrially scaled, flow-based process for the production of generic tasigna (nilotinib). the ultimate goal of this investigation will be to computationally develop a scalable synthesis which could potentially be used to produce large quantities of nilotinib with a greater degree of efficiency than the existing novartis method. thus, once the novartis patent over nilotinib production expires, efficient methods of producing generic tasigna can be implemented to rapidly capture the large and profitable market which tasigna currently holds. this will allow for the increased availability and lower price of a much needed drug to tens of thousands of cml patients. for this investigation, our team has taken the hypothetical role of a generic pharmaceutical company in planning the development and production of generic tasigna. as such, this investigation consists of four designing an industrially scalable, flow-based synthesis for the production of nilotinib: chemical process modeling and economic analysis justin m. cheung*, jessica hofflich, pablo henriquez, jian huang, and nafiul jami department of materials science & chemical engineering, stony brook university cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 22 distinct sections: (1) an assessment of the commercial efficacy of novartis’s existing production methods of nilotinib, (2) literature review assessing the efficiency and scalability of existing, laboratory level (small scale) synthesis methods of nilotinib, (3) selection of an existing small scale nilotinib production process and modeling its scaling to an industrial level using chemcad software, and (4) an economic analysis of the scaled process to assess its fiscal viability and profitability. the results of this investigation have the potential to provide a robust framework for the large-scale development of nilotinib upon the expiration of the novartis patent on tasigna. ii. methods a three-stage literature search was initially con ducted to address the following goals: firstly, market data on nilotinib drug pricing was collected in order to develop robust predictions of feasible generic pricing patterns as well as market share targets for our given scenario. this included a comprehensive search of articles pertaining to the prevalence of specific tki usage in cml patients, marketing of each of these drugs, and pricing before and after generic introduction. the literature search mainly utilized the nci (national cancer institute) database as well as pharmaceutical pricing literature. secondly, due to the lack of an existing published process flow diagram, all of novartis’s u.s. patents for the production of tasigna were collected and a predicted process flow chart of novartis’s current synthesis method was constructed based on the claims outlined in their filed patents. thirdly, all the currently published methods of synthesizing nilotinib at any scale were collected via literature search and analyzed for their efficiency across seven distinct criteria: (1) number of steps, (2) reaction temperatures, (3) reaction pressures, (4) reaction yields, (5) catalysts required, (6) solvents required, and (7) reaction time. once the most efficient of these methods was selected, process design modeling of the industrially scaled nilotinib synthesis was conducted using chemcad (computer-aided design) 7 software (chemstations). this allowed for the quantitative assessment and control of large flow rates of material, heat transfers, and separation efficiencies, allowing us to judge the success of the industrial scaling process. during the process of envisioning the design through chemcad, special considerations were made to ensure that the process remained “flow-based” eliminating the need for any manual handling of reaction intermediates and relying on a single series of reaction chambers. this was achieved using packed bed reactors (pbrs) in the model which allow for connections between parallel reactions and the use of solid catalysts without the need for interruption of the flow process. the chemcad software was also utilized to verify that the proposed reaction schema remained thermodynamically viable throughout and that the output products were high in purity. calculations of heat and material balances done via chemcad across each chemical reaction stage ensured that the reactions were well controlled, in the predicted state of matter, and exited each stage at the appropriate temperature and purity. lastly, economic analysis incorporated an assessment of the estimated costs of running the chemical production facility and raw material costs balanced against the predicted profits of the drug. reactor, piping, and distillation tower cost estimates were made through two american society of mechanical engineers (asme) certified reactor manufacturers: dominion tank & vessel co., inc. based in richmond, virginia and procedyne inc., based in new brunswick, nj. iii. results and discussion a. chemical process model design rationale & market scale assessment a recent study on patient cml drug preferences indicated that approximately 20% of all cml patients take tasigna (nilotinib) as opposed to other tki drugs (sanford et al., 2014). assuming that this trend continues, we can predict that the total cml patient pool taking nilotinib by the year 2023 is approximately 28,000 individuals. based on historical precedent, as an emerging generic pharmaceutical company, our goal would be to capture approximately 15% of the nilotinib market share in the us, translating to about 4200 patients. the food and drug administration (fda) approved regimen for treatment of cml with nilotinib requires a dose of 0.3 mg twice daily (or approximately 230 g of nilotinib per patient per year) (national cancer institute, 2013). thus, if we wish to pursue 15% of the nilotinib market share, production of at least 1150 kg nilotinib/year is the ultimate goal. the current market price of tasigna is ~$600 per gram (or $600,000 per kg). at current pricing, the estimated profit for 1150 kg/year of is $690 million/year. however, once nilotinib comes off patent and is generically produced, we can expect a sharp price drop. we developed our estimates of this change based on the price drop that gleevec (the 1st generation version of tasigna) underwent when it came off patent. in 2016, gleevec cost ~$146,000/year. since coming off patent, the cheapest generic gleevec option is ~$57,000/year (kantarjian, 2016). this is a 60% decrease in price from original to generic form of the first generation tki drug. we will assume that this pattern (60% drop in price) will also hold for tasigna/nilotinib, therefore, we can assume that tasigna’s generic will be priced at $240 per gram and that the estimated revenue for 1150 kg/year nilotinib production is $276 million/year. in summary, our generic pharmaceutical company will aim to take 15% of the nilotinib market share when the drug comes off patent in 2023, equating to about 4200 patients. to meet this demand, our goal is to design a chemical process for nilotinib production with a minimum capacity of 1150 kg per year. given, an expected 60% lower price of generic, the cost of our generic nilotinib will be ~$240/gram and our total yearly revenue is predicted to be $276 million. ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 23 critical assessment of the novartis synthesis for nilotinib novartis has not made a process flow sheet for its synthesis of nilotinib publicly available. to circumvent this, our team has utilized the steps outlined in novartis’s patent to create our own process flow sheet of the novartis synthesis shown in fig. 2 (breitenstein et al., 2004). fig. 2 overviews novartis’s patented process chemistry for the synthesis of nilotinib which is currently used for the industrial production of tasigna (deadman et al., 2013). from the process flow diagram, it can be seen that the production of nilotinib consists of three main parts. the first part (the top portion of the reaction scheme) is required to produce the carbon-nitrogen bond (fig. 2). the second part is the nucleophilic substitution which occurs concurrently to produce the required inter mediate in the bottom portion of the reaction scheme (fig. 2). with both parts completed, the third and final amide formation occurs during the last synthesis step to nilotinib formation (fig. 2). although this process chemistry for nilotinib synthesis is currently in use for its commercial production, there are four distinct drawbacks of novartis’s currently patented method. (1) during the production of the intermediate at the top of the reaction scheme (fig. 2), the use of nucleophilic substitution allows for the possible formation of two intermediate isomers. the formation of these two distinct isomers means that regioselectivity of the reaction becomes a great challenge since only one of thregioisomers is desired (deadman et al., 2013). as such, this would mean that novartis’s non-regioselective method for the synthesis of this particular intermediate would require a great deal of subsequent separation and purification to obtain only the desired regioisomer, steps that diminish efficiency and induce great time and monetary penalties on the production process. (2) from fig. 2 it is evident that the entirety of the novartis synthesis is an extremely lengthy multi-stage process. for instance, the reflux stage of the reaction takes over 68 hours, alone. (3) the process’s use of multi-stage batch reactors is highly unfavorable due to the time-consuming transfer requirements that will inevitably also require a great deal of manpower, further prolonging the total length of the reaction. in addition, separation procedures such as evaporation and filtration will likely have to be applied after each batch reaction since solvent switching will be required. these separation techniques will be clumsy and greatly reduce the degree of process control over the reaction. (4) from a hazard and operability (hazop) stand point, the overall novartis synthesis is particularly dangerous as it requires many steps and solvents. this presents a concern for health and safety, particularly since the use of multi-stage batch reactor processes will create a large degree of exposure risk to chemical plant workers who will have to directly deal with carcinogenic solvents such as dioxane and toluene during mass transfer operations. while novartis does not publicly disclose their production processes, this entire synthesis would take over 100 hours in reaction time and an estimated 50 hours in cleaning and separation downtime. therefore, novartis’s primary pathway method is an expensive and time-consuming process with undisclosed yields that are expected to require additional purification steps. review of the alternative nilotinib synthesis pathways although the novartis synthesis for nilotinib is functional, there has been much effort in developing alternative syntheses which mitigate the drawbacks present in the novartis synthesis pathway. the five known paths for nilotinib synthesis were compiled and are outlined in table 1. in addition to the aforementioned weaknesses to the novartis synthesis, the other syntheses (table 1) also feature several key weaknesses affecting their practicality and profitability. the buchwald synthesis requires many solid catalysts. however, this is balanced by the minimal number of steps and the significantly shorter reaction time required (24h) in comparison to the novartis method figure 2. process flow diagram of novartis’s synthesis pathway of nilotinib. cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 24 (>100h) (ueda et al., 2012). the chen synthesis has been found to have long reaction times with certain steps taking 68 hours to complete, while the total reaction time for the process was over three days. furthermore, the chen synthesis features a very low overall yield, around 40%. additionally, the copper catalyst used in step 1a of the chen synthesis is particularly slow and non-regioselective, resulting in the need for additional separation in order to isolate the key aniline intermediate, further complicating an already unwieldy process (chen et al., 2009). the teva synthesis likewise was found to be exceptionally long, taking over five days total. additionally, the many solvents used can complicate the unit operations involved due to the extensive solvent switching they necessitate (yeori et al., 2010). lastly, the ariad synthesis, although brief at only four steps, was reported to have be unscalable, as its final step has been found to give inconsistent yields at scales above 250 milligrams, resulting in impracticality at an industrial scale (deadman et al., 2013). table 1. a comparison of the five existing nilotinib syntheses according to their number of steps. the associated reaction temperatures, reaction pressures, step yields, solvents, catalysts, and reaction times are also noted with respect to each reaction stage. of the syntheses of nilotinib that were discussed in table 1, the buchwald synthesis seemed by far the most promising in terms of developing a scalable, flow-based synthesis process of nilotinib for the production of a generic brand. figure 3. reaction scheme for the buchwald synthesis of nilotinib, modified from ueda et al., 2012. the advantages of the buchwald synthesis that make it the most promising are its three steps taking approximately 24 hours of reaction time, fast and efficient compared to the other existing methods of nilotinib synthesis. more importantly, the buchwald synthesis is highly regioselective in the step where an important aniline compound is produced (highlighted in the red box in fig. 3). this gives the buchwald synthesis a distinct advantage over other methods of synthesizing nilotinib and more importantly, reduces the need for time-intensive regioselective purification at this initial step. lastly, the buchwald synthesis requires only four, readily purchasable starting reactants: (1) 3-amino-5-bromobenzotrifluoride (2) 4-methylimidazole (3) 4-pyrimidin-3-yl-pyrimidine-2-amine (4) methyl 3-bromo-4-methylbenzoate thus, we chose the buchwald synthesis to be the focus of our computational process scaling methodology. process design for an industrial scale buchwald synthesis of nilotinib our goal was to develop a scalable, flow-based synthesis of nilotinib which has greater time efficiency, safety, and yield than the existing novartis synthesis. we hoped to employ a flow-chemistry based synthesis of nilotinib. in contrast to batch production methods, a flowbased synthesis would involve the use of a single, continuous flowing stream wherein the reaction would take place in a series of controlled steps without the need for multiple batch reactors. as reported in previous literature, multi-step batch processes require process control and purification techniques which are highly complex in comparison to flow-based reactions (hopkin et al., 2010). as such, a general process flow diagram which illustrates the changes and modifications we wish to make to the existing buchwald synthesis is shown in fig. 4. ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 25 figure 4. envisioned process flow diagram for the flow-based buchwald synthesis of nilotinib using packed bed reactors. firstly, we re-designed the reaction scheme of the buchwald synthesis to take place under flow chemistry conditions (rather than a multi-stage batch series). this should allow for: (1) greater efficiency by reducing manual mass transfers between batch reactors, (2) greater degree of process control over the synthesis wherein controlling reaction flow rates will be the key concern, (3) greater degree of safety by minimizing the need for reactor transfers and thus eliminating unnecessary exposure to dangerous solvents, (4) greater scalability of the reaction to an industrial scale. the buchwald synthesis requires palladium and cesium solid-state catalysts at several stages. to address this challenge within the scope of the flow-based model and make the use of such catalysts feasible on an industrial scale, we have designed for the implementation of packed bed reactors (pbrs) into our process. this will allow for the large-scale use of the solid-state catalysts in the reaction under flow chemistry conditions while also facilitating catalyst recovery and cleaning. fig. 5 illustrates the final process flow sheet that was constructed in chemcad. it illustrates the components entering the pbrs in each stage of the reaction and distillation towers for separation. the model successfully converged with respect to the mass and energy balances and was able to produce nilotinib at a desired rate that would allow us to achieve the 1150 kg /year design basis goal. furthermore, according to the chemcad model, the final distillation tower of nilotinib production achieved over 98% separation, indicating the robust final purity of our desired nilotinib product. to produce our desired output of 1150 kg of nilotinib per year, we approximate that our plant will need to run for at least 350 days of the year. assuming constant production, a minimum output of 137 g/hour (0.263 moles) of nilotinib is required. due to the conversion rates of 90%, 95%, and 90% for each of the three stages of the buchwald synthesis, respectively, that translates to a basis of approximately 0.325 mol/hr for the starting reactants of both initial reactions, with mole equivalencies accounted for appropriately. a table detailing the mass balance from our reactor system designed in chemcad is shown in table 2. here, an output of 138 g/hr is shown, successfully achieving our design basis of 1150 kg per year. additionally, very little accumulation is shown, as evidenced by the near identical input/output masses. the energy balance from the reactor process, including energy added by each distillation tower, is also shown in table 3. figure 5. final process flow sheet for synthesis of nilotinib as constructed by chemcad. cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 26 table 2. chemcad report of overall mass balance. table 3. chemcad report of overall energy balance. similar to the mass balance, it is evident that an almost perfect energy balance is achieved, indicating the convergence success of our chemcad model. this mass and energy balance from the chemcad model serves to highlight that our industrial scaled synthesis of nilotinib using the buchwald synthesis was successful and that, computationally, there is strong evidence to indicate that this process can be scaled to effectively produce at least 1150 kg of nilotinib per year. given our flow-based design and the nature of the buchwald synthesis itself, this represents a great improvement with respect to the time, safety, and ease of nilotinib production as compared to the existing novartis methodology. b. process economics process economics of the scaled buchwald synthesis i. capital and operating costs to calculate profitability of the process, considered the capital cost of procuring and maintaining a manufacturing facility and the operating cost of the process based on our production design basis of 1150 kg of nilotinib. we estimated a small-scale manufacturing facility will cost ~ $2 million usd and an additional ~$2 million to have the facility cgmp certified for production. direct costs associated with production include employee cost, utility cost and waste management cost. we evaluated our employee needs based on existing industry data. based on estimations for a small-scale production facility and accounting for employee benefits and human resources cost, our estimation for employee cost was $1,100,000$1,400,000 usd per year. we have also predicted a budget of $50,000 for the annual maintenance and servicing of the equipment. to implement a system to dispose of the organic waste in an environmentally friendly way in accordance with epa and osha regulations, we estimate the cost of a waste management system for our design will be $200,000 on an annual basis. based on our energy and water needs, we will require a budget of $500,000 for yearly utility cost. ii. reactor, piping, and distillation tower costs the design of the synthesis process for nilotinib will require properly sized industrial reactors and piping. the pbrs must be capable of resisting the organic solvents and the catalysts that will be reacting inside the vessels. 316l grade steel is the pharmaceutical industry standard for contact with drug-based flow to avoid contamination. the total cost of three 0.15 m3 316l steel pbrs is $75,600. it is estimated from our process flow diagram that at least 300 feet of 316l steel piping at 1” piping size will cost $8,850. the thickness of the piping is appropriate for the expected flow rates and the pressure drops expected from the system and confirmed with chemcad. the distillation towers that our process will require for the separation and purification of products are expected to cost $55,100 in total. thus, the overall equipment cost is estimated to be ~ $140,000. this relatively low cost is achieved through the low process flow rate as the active ingredient will be produced in small amounts throughout the year and does not require enormous vessel capacities. iii. starting reagent costs we have also calculated the costs of purchasing the four starting material components of the buchwald reaction as shown in table 4. the total molar amount and subsequent mass of each reactant required was calculated based on the process production demands. the total estimated annual costs of purchasing the starting components of the buchwald synthesis is estimated to be around $5,500,000. table 4. material economics of starting material for nilotinib production. overall costs and final profit calculation for the first year of production, the overall process cost will be near $12 million, after which the overall costs drop to around $8 million as shown in table 5. considering the annual projections of a profit of $276 million dollars, capital and operating expenditure only accounts for 4.2% and 2.8% of revenue in the first and ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 27 second year, respectively. altogether, in balancing our predicted revenue with predicted capital/operating expenditures, yearly profits greater than $250 million are expected if the design basis criteria are met and 15% of the nilotinib market share can be captured. table 5. table of capital and operating costs. iv. conclusions in this investigation, we have described a new method for the large scale production of nilotinib, an important chemotherapy drug. current novartis practices of nilotinib synthesis require upwards of 8 steps and 97 hours of reaction time. by contrast, a recently developed approach by buchwald and coworkers allows for the synthesis of nilotinib in 3 steps and 24 hours. until now, this approach had only been designed for small scale (< 1 g) synthesis of nilotinib in laboratory settings. this investigation provides a framework for which the buchwald synthesis of nilotinib can be scaled up to produce 1150 kg per year much more efficiently than novartis’s current methods. we adopted the role of a generic pharmaceutical company seeking to produce nilotinib upon novartis’s patent expiration in 2023. our goal of capturing 15% of nilotinib’s market share allowed us to calculate our needed production to be 1150 kg/year with projected revenue of $276 million/year (assuming 60% price drop in generic drugs). using chemcad software, a new process flow diagram was constructed for the scaled production of nilotinib using the buchwald synthesis. our approach focused on the use of plug flow reactors in order to achieve a flow-based synthesis and improve the overall efficiency and safety of nilotinib production, minimizing the need for solvent switching or complex unit operations for mass transfers. our chemcad program successfully converged and mass and energy balances across the system were achieved. this serves to demonstrate that it is possible to industrial scale the buchwald synthesis while maintaining profitability. this we hope serves to establish an initial framework by which the generic form of a life saving medication can be produced safely and efficiently. acronyms asme – american society of mechanical engineers cad – computer-aided design� cml – chronic myelogenous leukemia cgmp – current good manufacturing practices epa – environmental protection agency fda – food and drug administration hazop – hazards and operability nci – national cancer institute osha – occupational safety and health administration pbr – packed bed reactor tki – tyrosine kinase inhibitor author information corresponding author *justin.cheung@stonybrookmedicine.edu author contributions all authors contributed equally to the design, modeling, analysis, and write up of the article. funding sources no funding sources to disclose. acknowledgment we would like to thank professor devinder mahajan for his guidance on this project. references [1] h. kantarjian, s. o’brien, e. jabbour, et al., and j. cortes, blood, 2012, 119(9), 1981–1987. http://www.bloodjournal.org/content/117/6/1822.lo ng?sso-checked=true [2] national cancer institute, cancer stat facts: leukemia chronic myeloid leukemia, surveillance, 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[11] y. chen, l. wang, h. zhou, c. wang, zhongguo yiyao gongye zazhi, 2009, 40, 401–403. https://www.tib.eu/en/search/id/tibkat%3a1823 55640/zhongguo-yiyao-gongye-zazhi/ [12] a. yeori, y. wang, j. li, j. zhu, r. lifshitz-liron, x, he, united states patent and trademark office, 2010, patent publication no. wo/2010/060074. https://patentscope.wipo.int/search/en/detail.jsf?do cid=wo2010060074 [13] s. ueda, m. su, s. l. buchwald, j. of the american chemical society, 2012, 134(1), 700-706. https://pubs.acs.org/doi/abs/10.1021/ja2102373 [14] m. d. hopkin, i. r. baxendale, s. v. ley, rsc chemcomm, 2010, 46, 2450-2452. https://pubs.rsc.org/en/content/articlelanding/2010 /cc/c001550d#!divabstract (treisman 2003) allowing us to experience a world of coherent, integrated objects instead of disembodied or wrongly-combined shapes, colors, motions, and sizes (treisman 1998). !e combined system of visual object binding and short-term memory is called “visual binding working memory”, or simply “binding memory.” it is what allows people to experience, for example, a ball "ying through the air as a single moving object, instead of as snapshots of identical balls tracing a path through space. binding memory is an indispensable part of biological motion detection. basic evidence for the existence of binding memory recent developments in binding memory research, elucidating its properties and limitations, promise to expand scienti#c understanding of biological motion detection. several experiments have con#rmed the premise of binding memory: that features of objects are #rst perceived separately before being bound together into a uni#ed object. for example, in one experiment, subjects were shown collections of squares with varying orientations that were laid out in a grid, and they were asked to recall features of the squares at particular grid locations after a short delay (bays et al., 2011). interestingly, subjects often failed to recall which features went with which object, rather than forgetting the object altogether. !is suggests that people perceive the separate features of an object individually, rather than as a single uni#ed object, and have separate categories for di$erent features (e.g. color, shape, and orientation). in a similar experiment, researchers started from a baseline of three objects with six di$erent features (wheeler et al., 2002). when they doubled the number of objects, there was no appreciable change in recall performance, but halving the number of features resulted in a signi#cant increase in performance recall. !is suggests that perception can be limited by the number of features, but not by the number of objects. !ese results were further supported by a similar study, where subjects were brie"y shown objects on a screen, followed by a blank interval, and were then asked to choose the object they had seen from an array of similar types of objects (alvarez et al., 2004). !eir capacity for remembering these objects varied widely, with a greater number of features to be recalled correlating with a decrease in performance. since the increase in the number of features but not the number of objects led to a decrease in memory performance, it is likely that that features of objects are held separately in short term memory and then subsequently integrated. !is is a limit of human binding memory: subjects’ performance in object-recall tasks depend on the number features the objects have. e!ects of old age and disease on binding memory recent studies have also explored the e$ects of old age and diseases such as autism spectrum disorders (asd) and schizophrenia on binding memory. for example, functional magnetic resonance imaging (fmri) measurements of brain activity were taken in asd patients as they performed a biological motion detection task (herrington et al., 2007). !e asd subjects showed less activity in the fusiform gyrus as compared to control subjects, an area previously implicated in the processing of visual feature binding. !ese results #t with those of another study in which autistic and normal children were asked to perform two tasks: one involving the detection of abstract shapes in a still image, and one involving the detection of biological motion (blake et al., 2003). performance for both groups was similar on the #rst task, but the autistic children performed far worse on the task with the simulated biological motion. !is supports the claim that autistic individuals generally have more trouble binding orientation and position information together through time, and thus have a harder time detecting biological motion. studies with another disease, schizophrenia, have also highlighted the critical importance of binding memory and biological motion detection by showing what happens when there is a binding memory de#cit. in a study with schizophrenic patients, visual working memory was tested for two features of drawings of familiar items: their location in a grid, and the identity of the item (burglena et al., 2003). !e test was done under two sets of circumstances: in the #rst, subjects were asked to simply recall the features independently. speci#cally, they had to say where on the grid an object had been displayed (regardless of which object), or what object had appeared (regardless of where). in the second set of circumstances, subjects were asked to recall an object and its location (a test of binding memory). although schizophrenic patients generally have impaired working memory, this experiment’s results showed that they had disproportionately poor performance in binding memory. yet another study explored the e$ects of age on binding (kessels et al., 2007). young adults (mean age of 25) and older adults (mean age of 66) were asked to view a series of familiar objects displayed on a grid. !ey were then asked to recall either just the objects, just the grid locations that were occupied, or both the object and the grid location in which it was displayed. even after taking into account the fact that memory generally declines with age, the older adults had disproportionately poor performance on the #nal task. !is suggests that binding memory performance declines markedly with age, and to an even greater degree than other kinds of memory. !e fact that autism and schizophrenia – broad and severe cognitive disturbances – correlate with binding memory problems underscores the relevance of this ability to normal human cognition (herrington et al., 2007, blake et al., 2003, burglen et al., 2003). :h�uhylhz�wkh�olwhudwxuh�wr�gdwh�rq�elrorjlfdo�prwlrq�ghwhfwlrq�dqg�lwv�lpsruwdqw�suhuhtxlvlwh��kxpdq�elqglqj�phpru\��%lqglqj� memory is the system for combining features like shape, color and size into coherent visual objects, and tracking these objects through time in short-term memory. this in turn makes possible biological motion detection, which is crucial to a wide range of human social activity. recent experiments have shown that binding memory is available from birth, declines with old age, and is improved by emotional arousal. furthermore, binding memory has been shown to be disturbed in neurological disorders such as autism and schizophrenia. these results promise to contribute to a greater understanding of biological motion detection in the future. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 23 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu + 8 0 $ 1 �% ,2 /2 * < cusjcolumbia undergraduate science journal review articles 24cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu + 8 0 $ 1 �% ,2 /2 * < biological motion detection humans have a specialized system called biological motion detection that responds specially to the movements of living creatures. more speci#cally, biological motion detection is the cognitive process whereby the perception of motion patterns characteristic of living organisms evoke a compelling impression that a living thing is being observed (johansson 1973). !is distinct neurological process is important for developing an understanding of the minds of others, and for functioning socially in general; human understanding of what is and is not a living thing is based on cues including motion – such as walking, speaking, or yawning – and social skills are predicated on the ability to readily discriminate between living and non-living things (blake et al., 2007). biological motion detection – which exists in a wide variety of animals including chickens (simion et al., 2008) and macaques (oram et al.,1994) – is functional in humans almost from birth (simion et al., 2008). when twoday-old infants were shown various rudimentary animations consisting of black dots moving around on a white background, they spent more time looking at the patterns that resembled an upright, walking animal than any of the others. because the animations used were so simple – comprised of just 13 dots and 23 looping frames of video – they are unintelligible jumbles when motionless. !e fact that the infants could discriminate di$erent moving patterns of objects from each other at birth indicates that they must already have some sort of functioning binding memory. !is result seems to #t with the fact that binding memory does not require the hippocampus, a brain area widely implicated in memory but not functional at birth. in trials with a patient with severe hippocampal damage, binding memory (as measured by colorand shape-recognition tasks described below) for the patient was no di$erent than that of control subjects (baddeley et al., 2010). !e fact that newborns can detect biological motion from the simplest patterns (simion et al., 2008) with an ability that does not depend, like so many other memory processes, on the hippocampus suggests that this is an important component of human cognition with highlyspecialized neural correlates. in typical humans, biological motion detection has been localized to a small area in the superior-temporal sulcus (sts) (grossman et al., 2000). !is brain region was found to be sensitive to motion typical of animate creatures, and showed greater activation even when the body plan was reduced to abstract, simpli#ed points of light moving in a pattern reminiscent of animal motion. despite the unitary, integrated nature of the perceptual experience of biological motion detection – and the ease with which the brain typically performs this task – this ability only arises through the coordinated e$ort of several complex systems in di$erent parts of the brain. as the points-of-light experiment demonstrated, the low-level components of biological motion are simply visual stimuli with certain shapes, orientations, motions and colors associated with them. to detect biological motion, the brain must appropriately process these components in concert. a closer look at how this processing works indicates that the brain perceives visual features (e.g. color, shape, and orientation) individually, and then uses short-term working memory to “bind” them together into a unitary experience, low-level visual processing allows humans to react to animate objects: binding memory as a key subsystem of biological motion detection andrew hamilton* copyright: © 2012 the trustees of columbia university, columbia university libraries, some rights reserved, hamilton. received 12/31/2012. accepted 2/6/2012. published 4/1/2012 *to whom correspondence should be addressed: ah2926@columbia.edu abstract e!ects of attention and emotional arousal in binding memory !e e"ects of attention and emotional arousal in the function of binding memory have been explored experimentally as well. in one study, subjects were shown shapes with distinctive colors and orientations on a computer screen (johnson et al., 2008). !ey were then asked to state either which features had been simply present (to test memory but not binding), or which features had gone with which shape (to test binding). performance was evaluated both in the presence and absence of distracting stimuli. interestingly, the presence of a distraction impaired performance equally for individual feature recall as well as bound object recall. in other words, the fact that the subjects’ being distracted did not speci#cally impede their feature binding any more than it did the processing of the features alone indicates that one need not pay attention to an object to properly process it together with all of its features. in another study, subjects were shown words of varying colors and levels of emotional signi#cance (e.g. “slaughter” or “emergency” for highly-emotional words, and “taxi” or “dormitory” for neutral words) (doerksen et al., 2001). !ey were then asked to recall either one separate feature of the object (e.g. the word), another feature (e.g. the color), or the bound object (e.g. the word and the color it was displayed in). unsurprisingly, subjects exhibited an enhanced recall for highly emotional words. however, a high emotional valence also enhanced recall for the associated color, suggesting a binding e"ect. in other words, emotional arousal enhances not only memory, but binding e$ciency as well. !ese are surprising strengths: binding memory can function even when people are not paying attention and can actually be improved by emotional arousal. future directions biological motion detection is so important that it becomes functional almost immediately out of the womb and underpins people’s basic ability to interact with each other (simion et al., 2008). more research into binding memory is needed to gain a greater understanding of biological motion detection and the corresponding elements of high-level social cognition. not enough is known about what other lower-level systems aside from feature binding are indispensible to biological motion detection. further research is also needed to determine the extent to which feature binding de#cits in pathological cases contribute to problems with biological motion detection, in order to learn more precisely just how much it depends on binding. !is might be accomplished by combining some of the experimental paradigms above to explore the e"ects of conditions like emotional arousal on binding and motion detection in subjects with neurological disorders. furthermore, more work is required to understand the neural correlates of binding memory in cases of these neurological diseases, particularly those with salient social implications, such as alzheimer’s, asd, and schizophrenia. advances in this area promise to not only enrich the understanding of how biological motion detection works in humans, but of the pathologies themselves. alvarez ga, cavanagh p. “!e capacity of visual short-term memory is set both by visual information load and by number of objects.” psychol sci 15:2 (2004) 106-111 baddeley a, allen r, vargha-kadem f. “is the hippocampus necessary for visual and verbal binding in working memory?” neuropsychologia 48 (2010) 1089–1095 bays m, wu e, husain m. “storage and binding of object features in visual working memory.” neuropsychologia 49(6), (2011), 1622-1631 blake r, shi"rar m. “perception of human motion.” annu. rev. psychol.58 (2007) 47–73 blake r, turner l, smoski mj, pozdol sl, stone wl. “visual recognition of biological motion is impaired in children with autism.” psychol sci. (2003), 14(2):151-7. burglena f, marczewski p, mitchell k, van der linden m, johnson m, danion j, salame p. “impaired performance in a working memory binding task in patients with schizophrenia.” psychiatry research 125 (2004) 247–255 doerksen s, shimura a. “source memory enhancement for emotional words.”emotion (2001), (i)1 5 – 11 grossman e, donnelly m, price r, pickens d, morgan v, neighbor g, blake r. “brain areas involved in perception of biological motion.” j. cogn. neurosci. 12:5 (2000), 711–720 herrington j, baron-cohen s, wheelwright s, singh k, bullmore e, brammer m, williams s. “!e role of mt+/v5 during biological motion perception in asperger syndrome: an fmri study.” research in autism spectrum disorders 1 (2007) 14–27 johansson g. “visual perception of biological motion and a model for its analysis”, perception psychophys. 14(2), (1973), 201–211. johnson j, hollingworth a, luck s. “role of attention in the maintenance of feature bindings in visual short-term memory.” j exp psychol hum percept perform. (2008), 34(1): 41–55. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 25 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu + 8 0 $ 1 �% ,2 /2 * < kessels r. c., hobbel, d., & postma, a. “aging, context memory and binding: a comparison of ‘what, where and when’ in young & older adults”. intl j. neurosci 117:6 (2007), 795-810. oram mw, perrett di. “responses of anterior superior temporal polysensory (stpa) neurons to ‘biological motion’ stimuli”. j. cogn. neurosci. 6, (1994) 99–116. saiki j, miyatsuji h. “feature binding in visual working memory evaluated by type identi#cation paradigm.” cognition 102 (2007) 49–83. simion f, regolin l, bulf h. “a predisposition for biological motion in the newborn baby.” proc natl acad sci u s a. (2008), 105(2):809-13. treisman a. “consciousness and perceptual binding.” in a. cleeremans, ed., !e unity of consciousness: binding, integration, dissociation.oxford university press, 2003. treisman a. “feature binding, attention and object perception.” phil. trans. r. soc. lond. b (1998) 353, 1295-1306. wheeler m, treisman a. “binding in short-term visual memory.” journal of experimental psychology (2002), 131(1), 48–64 cusjcolumbia undergraduate science journal review articles 26cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu + 8 0 $ 1 �% ,2 /2 * < references optical characterization of potential dampening in dendritic spine electrophysiology kim, samuel1, sakamoto, masayuki2, and yuste, rafael3 1columbia college, columbia university, new york, ny 10027, usa 2department of biological sciences, columbia university, new york, ny 10027, usa 3department of biological sciences, kavli institute for brain science, columbia university, new york, ny 10027, usa abstract this study aims to quantitatively characterize the electrophysiology of the dendritic spine as compared to that of its adjacent dendritic shaft, by imaging artificially induced backpropagating action potentials using a variety of different genetically encoded voltage indicators. we performed whole cell patch clamp and current injection recordings with simultaneous voltage imaging of neonatal mouse hippocampal neurons, which were transfected to express ‘arclight’ or one of two variants of ‘archaerhodopsin 3 (arch)’ known as ‘quasar1’ and ‘quasar2’. with arclight, we coupled electrophysiological current injection recordings with fluorescence imaging and compared the individual peak fluorescence change (∆𝑭/𝑭) value of each spine with the peak ∆𝑭/𝑭 value of its adjacent dendritic shaft in response to induced backpropagating action potentials. the results from arclight do not indicate a statistically significant dampening in membrane potential from the dendrite shaft across an adjacent spine, but do suggest a difference in membrane potential fluctuations between long pulse (100msec) and short pulse (20msec) current injections. with arch, we quantified the ∆𝑭/𝑭 values from current injection recordings and voltage imaging sessions of neuronal soma for ‘quasar1’ and ‘quasar2’. preliminary current injection and soma imaging results initially exhibited negligible signal-to-noise ratios of ∆𝑭/𝑭 in response to induced action potentials, possibly due to technical maladjustments. a subsequent, more general characterization of arch using voltage clamp and voltage step manipulations with quasar1 at different laser intensities indicates that quasar1 shows large changes in fluorescence at much weaker laser intensities (~10 mw) than was used for aforementioned current injection voltage imaging (~110 mw). we intend to further optimize and apply quasar1 and quasar2 to spine imaging, and subsequently investigate the difference in peak ∆𝑭/𝑭 values for different current injection pulse durations as suggested by arclight imaging data. i. introduction the prevailing view on consciousness speculatively characterizes the mind as ‘emergent’, meaning that it is unobserved on a microscopic level but emerges as a macroscopic property due to the collective interactions of its components, i.e., neurons. in order to understand the macroscopic workings of the brain, it inevitably follows that we must thoroughly decode the dynamic real-time communications that occur across the micro-circuitry between neurons 1 . considering the extent of electrophysiological variation that is present even on the level of an individual neuron, however, it would be useful to first characterize the elusive small-scale electrophysiological components of neuronto-neuron communication; one such component being the dynamics of membrane potential fluctuation in dendritic spines. dendritic spines are, as the name implies, small protoplasmic protrusions on the surface of the dendritic shaft of a neuron that are known to be postsynaptic contact points with the axons of presynaptic neurons 2 . previous studies have proposed and tested a number of hypotheses on the function and utility of these structures, such as linear integration of electrical input and prevention of dendrite potential saturation 2, 3,4 , biochemical compartmentalization and contribution to long term potentiation 5 , and preservation of the rapid time course of action potentials (aps) in affecting synaptic plasticity within a small time window 6 . in particular, we place interest in the suggested electro-physiological compartmentalization of spines in the course of a neuron’s processing of multiple inputs; in other words, the function of some sort of alteration of membrane potentials that flow between the shaft of a dendrite and its adjacent spine. the advent of techniques capable of direct measurement of potential on such a miniscule and rapid scale in dendritic spines, as opposed to indirect methods such as calcium imaging which utilizes delayed calcium dynamics as a proxy 7, 8 , is relatively new. voltage imaging, one of the particularly promising optical methods, utilizes voltage indicators, which usually consist of a complex of proteins that respond to fluctuations in electrical potential by undergoing a conformational change and altering their fluorescence emission. by embedding these indicators in the plasma membrane of a neuron, it is possible to make accurate measurements of membrane potential dynamics with fluorescence change as a proxy 9 . of particular interest in this study are two distinct genetically encoded voltage indicators known generally as ‘arclight’ and ‘arch (archaerhodopsin 3)’. arclight utilizes a complex between the voltagesensitive domain of ciona intestinalis’ voltage-sensitive phosphatase and a super ecliptic phluorin (a modified gfp), and has been shown to undergo ~1% to ~5% negative changes in fluorescence in response to individual action potentials in mammalian neurons 10 . variants of arch, on the other hand, are derived from a singlechannel bacterial rhodopsin (in other words, a light-activated ion channel) of halorubrum sodomense, and, while exhibiting negligible fluorescence at baseline, have been shown to undergo positive increases in fluorescence of much greater magnitudes (up to ~100%, depending on variant) per 100mv of membrane potential change under intense laser illumination 11,12 . hence, for the purposes of this study we adopt arclight as well as two variants of arch known as quasar1 and quasar2 as genetically encoded voltage indicators to closely track electrophysiological dynamics in individual neurons 13 . in examining spine electrophysiology, we primarily utilize artificially induced back propagating action potentials (baps) to elicit membrane potential fluctuations in dendritic spines. baps are known to be primarily passively diffusing changes in membrane potential that propagate in reverse of the conventional direction, from the axon hillock towards the dendritic tree, as a result of regular elicited action potentials 14 . thus by utilizing arclight and variants of arch to image the membrane potential fluctuations that occur from baps induced by a variety of current injections, we seek to quantify and test the electrical compartmentalization theory of dendritic spines. specifically, we address the potentially specialized treatment of and differential response to distinct electrical stimuli, through differences in the possible dampening of membrane potential from dendritic shaft to spine. ii. materials and methods a. hippocampal neuron plating and culture using 70% etoh and uv-sterilized stainless steel surgery tools, we euthanized neonatal mouse pups (p0-p1) via instantaneous decapitation and dissected hippocampi under a light microscope and stored them temporarily in a separate 15 ml falcon tube. all procedures following decapitation took place in a cold dissection solution, made from 160 mm sodium chloride, 5 mm potassium chloride, 1.1 mm magnesium sulfate, 2 mm magnesium chloride hexahydrate, 5 mm hepes, 5.6 mm glucose, 0.001g phenol red and titrated to ph 7.4. following dissection, isolated hippocampi were incubated at 37 ℃ for 20 min. on a shaker in a filtered dissociation solution consisting of lcysteine, calcium chloride, ethylenediaminetetraacetic acid (edta) and papain dissolved in dissection solution. the supernatant was subsequently removed and replaced with a filtered papain deactivation solution, which consisted of trypsin inhibitor and albumin dissolved in complete medium consisting of minimum essential medium (mem) w/o l-glutamine (invitrogen #11095-072), hi-glucose mem, serum extender, 100x (200 mm) lglutamine (sigma # g7513), and heat inactivated fcs (thermo fisher scientific hyclone products #sh30070.02hi). this was immediately replaced with regular complete medium, the hippocampal tissue further dissociated into individual cells via glass pipettes, and the obtained cells counted on a hemocytometer before being plated onto individual coverslips coated with poly-l-lysine in a 24-well plate (cell density 75k-120k per coverslip). following incubation overnight, the culture medium was completely replaced with neurobasal medium (nbm), which contained additives of b-27 supplement, lglutamine and penicillin/streptomycin solution. the medium was changed partially once a week. b. e. coli transformation and plasmid propagation dh5-alpha e. coli from invitrogen (www.invitrogen.com) stored in -80 ℃ were thawed, distributed into aliquots, and, after addition of a voltage indicator-encoding plasmid, were heat shocked at 42 ℃ for 45 s, followed by a 2 min. incubation on ice. the transformed cells were subsequently incubated in a ~37 ℃ water bath for 45 min., centrifuged and plated on lb agar plates, and incubated overnight at 37 ℃. a single colony of the transformed e. coli was grown in 5 ml lb broth with ampicillin, and incubated at 37 ℃ on a shaker for 8 hours. we then added a 1 ml aliquot to a 300 ml lbampicillin culture and incubated the cells overnight on a 37 ℃ shaker. the plasmid was isolated from incubated e. coli cultures according to the ‘endotoxin-free plasmid dna purification‘ user manual’s ‘nucleobond xtra maxi ef’ protocol by machery-nagel gmbh and co. kg, also accessible at www.mn-net.com. the purified plasmid was stored at -20 ℃. c. plasmid vector transfection transfections were performed 3-5 days after neuron plating. a mixture of the dna plasmid, calcium chloride, doubledistilled water, and 2x hepes buffered saline (hbs) was incubated at rt for 20 minutes (total 30 𝜇𝐿 for each coverslip). the entirety of the nbm for each culture was transferred to a 15 ml falcon tube and stored in a 37 ℃ incubator, and replaced with mem (www.invitrogen.com). each coverslip was subsequently transfected and incubated at 37 ℃ for 45 minutes. afterwards, the coverslips were washed three times with mem, and the previously collected nbm was re-applied to the coverslips. transfection was allowed to take place over about a 1-2 day period. d. electrophysiology: patch clamping and voltage imaging coverslips were taken from the incubator for patching starting 2-3 days post-transfection. the stage and coverslip were superfused at room temperature in oxygenated artificial cerebrospinal fluid (acsf) solution heated to ~37 ℃, diluted from a 10x acsf stock of 126 mm nacl, 26 mm sodium hydrogen carbonate, 1.145 mm sodium dihydrogen phosphate, 10mm dextrose, and 3 mm kcl, with additives of 1 m magnesium sulfate and 1 m calcium chloride. micropipettes (sutter instruments: http://www.invitrogen.com)/ http://www.mn-net.com/ http://www.invitrogen.com/ borosilicate glass capillaries) were pulled using a dmz-universal puller (zeitzinstruments) to 4-7mω resistance, and filled with an internal pipette solution of 140 mm k-gluconate, 5 mm kcl, 0.2 mm egta, 2 mm mg𝐶𝑙2 , 2 mm 𝑁𝑎2 atp, and 10 mm hepes, subsequently adjusted to ph 7.3 with koh. hippocampal neurons were whole-cell patch clamped using a brightfield/epifluorescence microscopy setup equipped with a mercury arclamp [for arclight (gfp): excitation filter 480/40 (460-500) nm, dm 495 nm, emission filter 535/550 nm. for arch (morange reporter): excitation filter 540/20 (530-550) nm, dm 570nm, barrier filter 590 nm. for arch (quasar1 and quasar2): emission filter 700/75) and a x40 (n.a. 0.8) or x60 (n.a. 0.9) objective setup mounted with an emccd camera (product: imageem (hamamatsu)) and four pipette manipulators. whole-cell patch clamping was performed using axon multiclamp 700b amplifiers (molecular devices), digitized at 10 khz with national instruments 6259 multichannel cards and recorded using custom software written using labview (national instruments). we used the multiclamp and packio softwares to hold voltage at -65 mv and apply and record current/voltage. for arclight, we performed current injection protocols, each protocol injecting 250 pa pulses for 10 times at regular intervals over a period of ~12 seconds, each pulse lasting 20 ms (short) or 100 ms (long). the packio recordings were coupled with fluorescent voltage imaging recordings that were performed under 570nm excitation. for arch, we initially also performed current injection protocols, each protocol injecting 250 pa pulses for 30 times at regular intervals over a period of ~33 seconds, each pulse lasting 20 ms (short) or 200 ms (long). in addition, for arch we performed voltage step manipulation protocols, which manipulated the membrane potential of a cell gradually by successive increments of 40 mv/500 ms voltage steps, inducing net voltage alterations ranging from -20 mv to +140 mv over the course of ~22 seconds. the packio recordings were coupled with fluorescent voltage imaging recordings that were performed under 642 nm ‘arch laser’ (coherent: obis) excitation. e. data processing as a preliminary check, we used imagej (nih) to process fluorescence recordings and derive fluorescence vs. slices (equivalent to time) plots. all subsequent data were derived via matlab (mathworks). iii. results a. criteria for data selection in analysis, we selectively excluded data that were problematic in one or more respects. foremost, neurons with aspiny dendrites, in other words dendrites with little to no dendritic spines, provided no data to work with. neurons that did possess spiny dendrites when viewed at 1 binning/300 msec exposure time but were too dim to show any spines to select during 4 binning/10 msec exposure time voltage imaging either due to progressive photobleaching, low baseline voltage indicator expression and fluorescence, or excessive background fluorescence due to high cell density were also excluded. finally, a number of cells, particularly during 20 msec current injection protocols, exhibited spontaneous firing even without stimulation; this disrupted the matlab program’s capability to synchronize the electrophysiology recordings with voltage imaging recordings. many 20msecpulse protocol recordings were excluded due to this phenomenon. though some of these omissions are contingent on technical limitations of our methods and may cause us to overlook some potentially viable data, we believe such overall necessarily excludes confounds and noise from our final results at the cost of a smaller sample size. b. arclight: current injection and shaftspine voltage imaging for exemplary ‘cell a’ we present the data from current injections and voltage imaging of a single representative shaft-spine pair from ‘cell a’. under bright-field microscopy at 60x magnification, cell a exhibits normal neuronal morphology very faintly, partially due to overpopulation and high cell density of the culture (fig. 1a). cell a as identified via epifluorescence microscopy of gfp under 570nm excitation (included in arclight; no additional marker was used) indicates very spiny dendrites, as well as appropriate localization of the genetically encoded arclight to the plasma membrane and dendritic spines (fig. 1b). cell a was whole-cell patch clamped and subjected to a current injection protocol that applied a total of 10 pulses, each of 250 pa magnitude and 100 ms duration, over the duration of ~12 seconds; neuronal membrane potential responses to 9 of the pulses are selected here for ideal visualization (fig. 2). for a selected region of interest (roi) (fig. 2a) indicating either a given dendritic shaft or its adjacent spine, we synchronized whole cell membrane potential recordings with local fluctuations in fluorescence and plotted both voltage and ∆f/f with respect to time for the duration of the simultaneous recordings. fluorescence changes (blue) coincide only very weakly with peak voltage fluctuations (green), presumably due to the low relative signalto-noise of arclight (fig. 2b). spike-triggered average (sta) data a b figure 1. arclight: ‘cell a’ a. cell a as seen by bright-field microscopy under 60x magnification, with micropipette visible. b. cell a as seen by epifluorescence microscopy of the gfp contained in arclight (no additional reporter was required). arclight (current injection): cell a spine a b c figure 2. arclight: current injection electrophysiology and δf/f of dendritic shaft vs. spine in ‘cell a’ a. the region of interest (roi) for δf/f comparison in a single dendritic shaftspine pair for cell a, indicated by the red boundaries as selected during data processing and analysis. b. whole cell electrophysiological recordings of voltage (green) and local fluctuations in δf/f (blue) in a single recording session of the aforementioned shaft-spine pair, synchronized on a time axis. c. spiketriggered average (sta) for the aforementioned shaft-spine pair. this represents the average δf/f (blue) of a specific roi, in response to each and every induced bap within a given train of current injections. the peak after frame=0 that spikes above the baseline fluorescence (red) was selected as the peak δf/f to be used in shaft vs. spine comparison. arclight (current injection): cell a shaft f lu o re sc en ce (a .u .) / v o lt ag e (m v ) time (s) time (s) frames frames δ f / presents an averaged representative ∆f/f response to one induced bap for the selected roi, based on voltage-fluorescence synchro-nizations; the data given indicates a ~5% peak change in fluorescence for a roi of the shaft and a ~4% peak change in fluorescence for its adjacent spine (fig. 2c). c. arclight: mean peak ∆𝑭/𝑭 of shaft vs. spine from the sta data (exemplified in fig. 2c) of multiple imaged shaft-spine pairs, we summed the peak ∆f/f of all shaft rois and of all spine rois, and compared the mean peak ∆f/f of the dendrite shaft (blue) to the mean peak ∆f/f of its adjacent spine (red) for long pulse (100 ms) and short pulse (20 ms) current injection protocols respectively (fig. 3). taking standard deviation into account, neither the long pulse nor the short pulse current injection/ voltage imaging results indicate a statistically significant dampening of peak ∆f/f from the dendrite shaft to its adjacent spine. however, the data does seem to suggest a potential difference in ∆f/f change between the long pulse and short pulse current injections, in that the 100 ms pulse injection protocol seems to potentially show greater dampening of ∆f/f in the spine, relative to the negligible ∆f/f difference in shaft to spine of the 20 ms protocol (fig. 3a, b). d. arch: current injection and soma voltage imaging for exemplary ‘cell b1’ and ‘cell b2’ as with arclight, we present the data from current injections and voltage imaging of representative neurons ‘cell b1’ and ‘cell b2’, respectively expressing the quasar1 and quasar2 variants of arch. under bright-field microscopy at 60x magnification, both cell b1 and cell b2 show normal, healthy neuronal morphologies (fig. 4a) in particular comparison to arclight-expressing cell a (fig. 1a). epifluorescence microscopy using the coexpressed morange reporter protein indicates sufficient expression for both cells, albeit relatively scarce dendritic spine distributions (fig. 4b). illumination under an arch-specific laser (642 nm) at 110 mw output indicates intense expression of the respective arch variants for each cell (fig. 4c). cell b1 and b2 were whole-cell patch clamped and both subjected to the same current injection protocol, which injected a total of 30 pulses, each 200 ms, over a duration of ~33 seconds. instead of a shaftspine pair, an roi of the soma illuminated by the arch laser was selected for analysis for both cells as a test of efficacy (fig. 5a). both cells responded to their respective current injections by firing a train of action potentials in response to each pulse (fig. 5b). voltage recordings corresponding to all 30 pulses for each cell were synchronized with fluorescence on a time axis; results do not visibly resolve individual fluorescence spikes (fig. 5c). the stas for both a b figure 3. arclight: mean peak δf/f of shaft vs. spine for long pulse (100msec) and short pulse (20msec) current injection recordings a. the mean peak δf/f sta with standard deviation (%) of shaft vs. spine in arclight voltage imaging of a total of 21 shaft-spine pairs, for the long pulse (100msec) current injection protocol. b. the mean δf/f sta with standard deviation (%) of shaft vs. spine in arclight voltage imaging of a total of 6 shaft-spine pairs, for the short pulse (20msec) current injection protocol. arclight (current injection) m ea n p ea k δ f /f shaft shaft spine spine m ea n p ea k δ f /f 100 ms injections 20 ms injections quasar1 in cell b1 and quasar2 in cell b2 show negligible signal relative to background fluorescence, presumably due to excessively high laser output and/or excessive noise (fig. 5d). a b c figure 4. arch: ‘cell b1’, ‘cell b2’ a. cell b1 (left) and cell b2 (right) as seen by bright-field microscopy under 60x magnification, with micropipettes visible. b. cell b1 (left) and cell b2 (right) expressing an morange reporter protein, as seen by epifluorescence microscopy. c. cell b1 (left) and cell b2 (right) expressing quasar1 and quasar2 respectively, as seen by epifluorescence microscopy coupled with 642nm arch laser illumination (110 mw). cell b1: quasar1 cell b2: quasar2 arch (current injection): cell b1, cell b2 morange morange quasar1 quasar2 cell b1: quasar1 cell b2: quasar2 a b c d figure 5. arch: current injection electrophysiology and δf/f of soma in ‘cell b1’ and ‘cell b2’ a. the region of interest (roi) for δf/f in soma for cell b1 (left) and cell b2 (right), indicated by the red boundaries. b. membrane potential fluctuations in cell b1 (left) and cell b2 (right) in response to a single long current pulse (200msec) injection. c. whole cell electrophysiological recordings of voltage (green) and local fluctuations in δf/f (blue) in a single recording session of soma for cell b1 (left) and cell b2 (right), synchronized on a time axis. d. spike-triggered average (sta) for cell b1 (left) and cell b2 (right). this represents the average δf/f of a specific roi, in response to each and every induced bap within a given train of current injections. arch (current injection): cell b1, cell b2 v o lt ag e (m v ) time (s) time (s) f lu o re sc en ce (a .u .) /v o lt ag e (m v ) time (s) time (s) δ f /f frames frames e. arch: voltage step manipulation and soma voltage imaging for exemplary ‘cell c’ to correct for the negligible signal given in figure 5d, we performed direct, large-scale voltage step manipulations of membrane potential and simultaneous quasar1 voltage imaging in exemplary ‘cell c’. cell c shows normal, healthy neuronal morphology under 60x bright-field microscopy (fig. 6a) as well as epifluorescence microscopy visualizing the morange reporter (fig. 6b). for quasar1 fluorescence, the arch laser output was decreased drastically from 110 mw to 10mw, and brightfield microscopy was temporarily turned off to eliminate noise; cell c is shown expressing quasar1 towards the peripheries of the range of laser-illumination (fig. 6c). we applied a voltage step protocol that manipulated the membrane potential of cell c by 40 mv/500 ms voltage step increments, for a net alteration ranging from -20 mv to +140 mv over a duration of ~22 seconds. four successive recordings were performed on cell c at laser outputs of 10 mw, 20 mw, 30 mw and 40 mw, and similar rois were selected from all four recordings for analysis and comparison (fig. 7a). preliminary ∆f vs. time plots of image stacks derived from voltage imaging recordings indicate the largest quasar1 signal at 10 mw laser output, with fluorescence fluctuations corresponding to individual voltage steps visible; subsequently higher intensities of laser output seem to generate excessive noise relative to arch signals, and the fluorescence ‘steps’ are rendered increasingly less visible towards 40 mw output (fig. 7b). fluorescence fluctuations a b c figure 6. arch: ‘cell c’ a. cell c as seen by bright-field microscopy under 60x magnification, with micropipettes visible. b. cell c expressing an morange reporter protein, as seen by epifluorescence microscopy. c. cell c expressing quasar1 (yellow arrow), as seen by epifluorescence microscopy coupled with 642nm arch laser illumination (10 mw) arch (voltage step): cell c morange quasar1 1 0 m w a b c figure 7. arch: voltage step electrophysiology and δf/f of soma in ‘cell c’ a. four distinct rois of cell c soma, selected in 4 different quasar1 voltage step manipulation and voltage imaging recordings using 4 different respective laser intensities (10mw, 20mw, 30mw, and 40mw). b. general fluorescence fluctuations of quasar1 in response to voltage step manipulations, as seen in cell c soma imaging using 4 different respective laser intensities. c. whole cell electrophysiological recordings of voltage (green) and local fluctuations in δf/f (blue) in a single recording session of soma for cell c, synchronized on a time axis. arch (voltage step): cell c f lu o re sc en ce / v o lt ag e (m v ) f lu o re sc en ce ( a. u .) time (s) frame s 2 0 m w 3 0 m w 4 0 m w f lu o re sc en ce ( a. u .) f lu o re sc en ce ( a. u .) f lu o re sc en ce ( a. u .) frame s frames frames f lu o re sc en ce / v o lt ag e (m v ) f lu o re sc en ce / v o lt ag e (m v ) f lu o re sc en ce / v o lt ag e (m v ) time (s) time (s) time (s) corrected for bleaching and synchronized with membrane potential fluctuation recordings on a time plot further demonstrate this trend; the characteristic parabola of ∆f as corresponding to the shape of the voltage waveform is rendered unrecognizable starting at 30 mw laser intensity (fig. 7c). iv. discussion we hypothesized a dampening of membrane potential from the dendritic shaft into its adjacent dendritic spine as a test of the theory of spine electrophysiological compartmentalization. arclight voltage imaging of induced baps in mouse hippocampal neurons does not in fact seem to indicate a statistically significant dampening of membrane potential in the spine relative to the dendrite shaft. there does, however, seem to be some suggestion of a difference in membrane potential alteration at the spine between electrophysiological dynamics induced by long (100 ms) and short (20 ms) current injections, in other words between a train of multiple baps in rapid succession vs. single baps (fig. 3). considering the nature of baps as primarily passively transmitted potentials, one would expect some amount of default deterioration as a bap progresses across a dendrite into a spine. however, results from this study’s arclight voltage imaging indicate not only that there is no immediately significant default deterioration (i.e., dampening) of potential, but also that a more prolonged stimulus (~100 ms current injection) inducing multiple baps may entail greater dampening than that caused by a small stimulus (~20 ms current injection) inducing a single bap. this seems to contradict any initial assumptions that a passively traveling membrane potential would be prevented from deteriorating, i.e. dampening, if it is ‘reinforced’ by multiple subsequent baps. rather, assuming our arclight imaging results are valid, our study may indicate that, in dendritic spines, weaker baps tend to be conserved while stronger, ‘reinforced’ baps are likely to be dampened, possibly in association with and/or manifested as phenomena such as long-term potentiation. caution must be taken, however, concerning the sheer number of possible neuronal subtypes and the consequent variability in neuron electrophysiology. literature indicates that inhibitory gabaergic interneurons, and even som interneurons which comprise a subcategory of inhibitory interneurons, may be divided into a number of subtypes according to their electrophysiology 15, 16 . the indiscriminate nature of this study in terms of neuronal subtypes suggests that certain trends may very well have been overlooked or overemphasized. we have thus started preparations for more precise imaging of spines, by optimizing two variants of arch, quasar1 and quasar2, reported to be superior to arclight in fluorescence and kinetics under optimized conditions, in voltage imaging of neuronal soma. our initial results from arch with current injections, as had been done with arclight, indicated nearly negligible signal-to-noise ratios for both variants (fig. 5d). subsequent voltage imaging of voltage step manipulations with quasar1, performed at reduced brightfield noise and lower laser intensities (~10 mw vs. the previous ~110 mw), indicates that, to utilize the sensitivity of arch in capturing spine electrophysiology, voltage imaging must be performed at reasonably low laser intensities (~10 mw) to prevent saturation. depending on further investigation of spine electrophysiology at a higher spatiotemporal resolution, it may be possible to more robustly demonstrate that dendritic spines discriminate between weak and strong stimuli. in conjunction with the results we have attained so far via arclight, this would lend support to the hypothesis arguing for the electrophysiological compartmentalization and specialization of dendritic spines; elucidation of a component crucial in the composition of larger-scale neuronal circuits and patterns. v. references [1] alivisatos, a., chun, m., church, g., greenspan, r., roukes, m. and yuste, r. (2012). [2] the brain activity map project and the challenge of functional connectomics. neuron 74, 970-974. [3] yuste, r. (2011), dendritic spines and distributed circuits. neuron 71, 772-781. [4] cash, s., and yuste, r. (1999). linear summation of excitatory inputs by ca1 pyramidal neurons. neuron 22, 383-394. [5] yuste, r., and denk, w. (1995). dendritic spines as basic functional units of neuronal integration. nature 375, 682-684. [6] koch, c., and zador, a. (1993). the function of dendritic spines: devices subserving biochemical rather than electrical compartmentalization. j. neurosci. 13, 413-422. [7] holthoff, k., zecevic, d., and konnerth, a. (2010). rapid time course of action potentials in spines and remote dendrites of mouse visual cortex neurons. j. physiol. 7, 10851096. [8] koester, h.j., and sakmann, b. (1998). calcium dynamics in single spines during coincident preand postsynaptic activity depend on relative timing of back propagating action potentials and subthreshold excitatory postsynaptic potentials. proc. natl. acad. sci. usa 95, 9596-9601. [9] grienberger, c. and konnerth, a. (2012). imaging calcium in neurons. neuron 73, 862885. [10] peterka, d., takahashi, h., and yuste, r. (2011). imaging voltage in neurons. neuron 69, 9-21. [11] jin, l., han, z., platisa, j., wooltorton, j., cohen, l., and pieribone, v. (2012). single action potentials and subthreshold electrical events imaged in neurons with a fluorescent protein voltage probe. neuron 75, 779-785. [12] kralj, m. j., douglass, a. d., hochbaum, d. r., maclaurin, d., and cohen, a. (2012). optical recording of action potentials in mammalian neurons using a microbial rhodopsin. nature methods 9:1, 90-95. [13] maclaurin, d., venkatachalam, v., lee, h., and cohen, a. (2013). mechanism of voltage-sensitive fluorescence in a microbial rhodopsin. pnas 110:15, 59395944. [14] akemann, w., mutoh, h., perron, a., rossier, j., and knopfel, t. (2011). imaging brain electric signals with genetically targeted voltage-sensitive fluorescent proteins. nature methods 7:8, 643-649. [15] stuart, g., spruston, n., sakmann, b., and hausser, m. (1997). action potential initiation and backpropagation in neurons of the mammalian cns. tins 20:3, 125-131. [16] ascoli, g. a., et al. [the petilla interneuron nomenclature group (ping)]. (2008). petilla terminology: nomenclature of features of gabaergic interneurons of the cerebral cortex. nat rev neurosci. 9:7, 557-568. doi:10.1038/nrn2402. [17] mcgarry, l. m., packer, a. m., fino, e., nikolenko, v., sippy, t., and yuste, r. (2010). quantitative classification of somatostatin-positive neocortical interneurons identifies three interneuron subtypes. frontiers in neural circuits 4:12, 1-19. abstract this study aims to quantitatively characterize the electrophysiology of the dendritic spine as compared to that of its adjacent dendritic shaft, by imaging artificially induced back-propagating action potentials using a variety of different geneticall... i. introduction ii. materials and methods v. references paper title (use style: paper title) characterizing intracellular localization and chromatin remodeling role of chd6 in human fetal development and in glioblastoma noah basri and nadejda tsankova icahn school of medicine at mount sinai departments of pathology and neuroscience friedman brain institute abstract— chd6, a member of the chd family of dna-binding, chromatin-modifying proteins, has been shown to be upregulated in glioblastoma. using immunofluorescence the intracellular region to which chd6 localizes can be determined. through the use of chromatin immunoprecipitation (chip), candidate genomic loci enriched for chd6 can be determined. immunofluorescence and chip results for chd6 using a current protocol are presented. notably, immunofluorescence of fetal germinal matrix and adult subventricular zone showed principally cytoplasmic localization of chd6, contrary to expectation. chd6 chip showed partial enrichment in certain genes of possible significance to glioblastoma in fetal tissue relative to the positive control. a higher sample size is needed to test and evaluate the significance of these findings. the results presented here reveal new insights into the changes in the epigenetic landscape contributing to glioblastoma and the manipulation of chd6 expression could be considered for treating specific incidents of glioblastoma. i. introduction the set of proteins that constitute epigenetic regulators include so-called ‘writers,’ ‘editors’ and ‘readers’ of dna methylation or histone post-translational modifications5. whereas ‘writers’ are responsible for de novo modifications to dna or dna-bound histone proteins and ‘editors’ are responsible for chemically altering or reverting the modification placed by ‘writers’, ‘readers’ modulate and mediate interaction between proteins and protein complexes, including the transcriptional machinery5. dysfunction or deregulation of epigenetic ‘writers,’ ‘editors’ or ‘readers,’ is widely implicated in stem cell activation and tumorigenesis5. among the epigenetic ‘readers’ is a subset of chromodomain-containing proteins, the chromodomain helicase dna-binding, or chd, family of chromatin modifiers1,4,5,8,12. the chd proteins are distinguished from other chromodomain-containing chromatin readers by their tandem chromodomains1,4,5,8, which have been shown to interact with methylated lysine residues correlated with either repressed transcription or active transcription (h3k27me3 and h3k4me3)1,4,11,12. within the larger family of chd proteins, are three subfamilies distinguished by their varying functional or conserved domains. class i chd proteins contain chd1 and chd2. the class i chd proteins are the best characterized in terms of function and structure,4,8,12. chromatin immunoprecipitation (chip) experiments, which utilize antibodies to selectively precipitate proteins bound to specific genomic regions, have been conducted to elucidate the dna regions enriched for chd112. class ii chd proteins are distinguished by their dual phd fingers, or plant homeodomains, and are composed of chd3, chd4 and chd51,4,8,12. class iii chd proteins are composed of chd6, chd7, chd8 and chd91,4,8,12. they are distinguished from the other two classes by their sant (switching-defective protein 3, adaptor 2, nuclear-receptor corepressor, transcription factor iii b) and brk (brahma and kismet) domains, which lie close to the proteins’ c-terminus1,4,12. the precise function of the brk domain is unknown4; however, it has been shown to interact with the transcriptional repressor ctcf1,8, potentially coordinating chromatin loops7. of considerable interest in the third chd class is the poorly characterized nucleosome-remodeling protein chd6. though its precise mechanism of action has not been established8,12, chd6 has been reported to be upregulated in glioblastoma3,10. as a result, insight into the intracellular localization of chd6 as well as its enrichment in genetic loci of interest to glioblastoma, such as olig22, egfr (epidermal growth factor receptor)2 and gfap (glial fibrillary acidic protein)2 using immunofluorescence and chip would provide a more holistic understanding of chd6 expression and the epigenetic landscape of glioblastoma pathology. immunofluorescence and chip experiments were performed to characterize the intracellular localization and chromatin-remodeling role of chd6. notably, immunofluorescence of fetal germinal matrix and adult subventricular zone showed principally cytoplasmic localization of chd6, contrary to expectation. through the use of chip, candidate genomic loci enriched for chd6 were elucidated. chd6 chip showed partial enrichment at the promoter of egfr, one gene of possible significance to glioblastoma2, in fetal and glioblastoma tissues, relative to a presumed positive control locus where chd6 has been previously demonstrate to bind8. however, higher sample size is needed to test and evaluate the significance of these findings. ii. methods a. immunofluorescence paraffinized tissue sections (4 micrometers) previously fixed in 10% formalin were deparaffinized in xylene. sections were rehydrated gradually through washes in graded alcohols: wash in 100% ethanol twice for 10 minutes each, then 95%, 75%, 50% ethanol for 5 minutes each then deionized water for 5 minutes. slides were boiled in citrate-based buffer (ph=6) for 5 minutes then cooled on bench top for 30 minutes. specimen was blocked in blocking buffer for 60 minutes using 0.25% tritonx and 1% normal donkey serum. cells were incubated with anti-gfap (rat) and chd6 (rabbit) primary antibodies overnight at a concentration of 1:100. sections were washed 3 times in pbs. sections were then incubated for 1 hour with fluorochrome-conjugated secondary antibodies. secondary antibodies for rat (pink fluorescence) and rabbit (green fluorescence) were used. following three more pbs washes, specimens were incubated with dapi nuclear stain (blue fluorescence) for 5 minutes. sections were examined using confocal microscopy. b. chip and qpcr analysis dna binding of chd6 was assessed via chromatin immunoprecipitation (chip) assays. frozen post-mortem brain tissue or neurosurgical de-identified specimens (adult cortex n=3, fetal germinal matrix n=3, glioblastoma n=3) were minced manually using razor blades in a petri dish. minced tissue was suspended in 1400ul 1% formaldehyde fixative and rotated for 10 minutes at room temperature. formaldehyde fixation was quenched with 93.3ul 2m glycine (125mm final concentration) and rotated for 5 minutes at room temperature. chromatin was sheared to 150-600bp9 and subjected to immunoprecipitation with antibodies against chd6 or igg (rabbit)2,9 as negative control (12-370, millipore, 5 mg) after pre-incubation with magnetic dynabeads from rabbits (11203d, invitrogen). ten percent of the lysate was saved as “input” for normalization analysis. the chromatin-associated dna was purified using the qiaquick pcr purification kit (28104, qiagen, valencia, ca) and quantified by qpcr (stratagene mx3000p) using primers designed within the egfr promoter (egfrprom), zic1, a reputed gene enriched for chd6, olig2, and b2m, a housekeeping gene (appendix 1). the data was analyzed as percent input recovery relative to zic1, the presumed positive control. melting curves were analyzed to ensure specificity of the primers. the efficiency for all primers was calculated, deemed appropriate, and accounted for in the analysis2. iii. results a. chd6 localizes to the cytoplasm in fetal germinal matrix and adult subventricular zone immunofluorescence staining of fetal germinal matrix showed principally strong cytoplasmic localization of chd6 (figure 2). there was high cell abundance in the fetal tissue compared to the adult tissue, consistent with the findings by samuelsen et.al6. chd6 staining appeared comparatively stronger in the fetal germinal matrix than in adult subventricular zone. gfap, stained in pink, was clearly expressed in the radial glia projecting out of the germinal matrix. notably, chd6’s principally cytoplasmic localization seemingly conflicts with its reputed function as a dna-binding protein and its hypothesized nuclear localization12. however, strong cytoplasmic staining could have obscured nuclear staining, and chip studies indicate the presence of locusspecific nuclear chd6 presence. further experimentation on chd6 is required to determine whether it is natively found in the nucleus or if it translocates to dna in response to some stimulus, as is seen in other transcription factors14. intriguingly, there is remarkable chd6 signal seen in the ependymal layer of the subventricular zone (figure 1), which has not been previously demonstrated. previous chip experiments have shown enrichment of chd6 in cf-pac, a pancreatic adenocarcinoma cell line, and caco2, a colon cancer cell line8. interestingly, pancreatic ductal cells (from which pancreatic adenocarcinoma arises), enterocytes, and ependymal cells have simple columnar structure17,18. enterocytes and ependymal cells also have a similar brush border on their apical surface17. whether these commonalities are related to chd6 expression remains to be verified. b. chd6 may be enriched at the egfr promoter in fetal tissue and glioblastoma chip was performed on adult cortex (n=3), fetal germinal matrix (n=3) and glioblastoma (n=3) tissue types to assess for in vivo binding of chd6 at genomic loci of potential interest in fetal development and gliomagenesis. the enrichment of chd6 in each of the genomic loci of interest was calculated as percent of input recovery, and it was normalized to percent input enrichment of chd6 at zic1, the positive control locus (figure 4). the expectation was to see enrichment of chd6 at gene loci, which are dysfunctionally upregulated in figure 2 note the principally cytoplasmic localization of chd6 and strong chd6 signal. fetal germinal matrix under the confocal microscope. gfap fluoresces pink, chd6 is green and dapi is blue. figure 1 adult subventricular zone under the confocal microscope. note cytoplasmic localization of chd6 and robust chd6 signal in the ependymal layer, as indicated by the white arrow. gfap fluoresces pink, chd6 is green and dapi is blue. glioblastoma, such as at olig2 and egfr, since the chromodomains of chd6 bind methylated lysine residues associated with active transcription11. this preliminary data reveal greatest chd6 enrichment at the egfr promoter in fetal and glioblastoma samples, and at the olig2 promoter in fetal samples, relative to zic1. unfortunately, significance cannot be established in this data since the qpcr amplification of igg samples yielded more than one amplicon product. iv. discussion the immunofluorescence staining of both fetal germinal matrix and adult subventricular zone showed principally cytoplasmic localization of chd6. this contradicts the hypothesis that chd6 is strictly relegated to dna-binding in the nucleus. one possible explanation for these results is that most chd6 could natively reside in the cytoplasm but translocate to the nucleus in response to binding of a cofactor. lathrop et. al. report that chd6 precipitates in complex with the transcription factor nrf2, which is trafficked to the nucleus in response to cellular oxidative stress13,14. analysis of the primary amino acid sequence of chd6 reveals several potential nuclear localization signals (nls)19. one possible mechanism for chd6’s counterintuitive intracellular localization could be that chd6’s nls sequences are obscured by protein folding but are subsequently revealed following binding of a cofactor. upon the emergence of the nls sequences, importin, the protein responsible for protein import into the nucleus, could shuttle chd6 to the genetic loci where chd6 exerts its action as a chromatin remodeler. both the immunofluorescence and chip experiments relied on primary antibodies effective at recognizing chd6. prior to the immunofluorescence and chip, no experiments validating the antibody and proving its efficacy in precipitating chd6 were performed. furthermore, although no published literature has elaborated on the finding that chd6 is enriched at zic1, zic1 was used as the positive control locus in the chip experiment. sancho et. al., independently reported that zic1 would act as an effective positive control. in designing primers for zic1, the ucsc genome browser was consulted for candidate loci that could be enriched for chd6. candidate loci were determined using enrichment of transcription factor ctcf as proxy for chd6 since sancho et. al. reported ctcf acting in complex with chd68. to date, there has been no brain tissue chip-seq data for chd6 upon which to base zic1 as a positive control more accurately. operating under the conjecture that chd6 is enriched at zic1, based on the assertion by sancho et. al. is an assumption in this experiment. another limitation of the data is the lack of a negative control. since chd6 is a chromatin remodeler that colocalizes with rna polymerase ii8, an effective negative control would be loci of constitutively heterochromatic regions of dna, such as telomeres or centromeres. since these loci are constitutively heterochromatic, they are not transcribed and therefore enrichment of rna polymerase ii and chd6 would be unlikely in those regions. the qpcr amplification of the igg samples yielding more than one amplicon could suggest the presence of primer dimers on the melting curve due to very little dna pulled down in the immunoprecipitation. as a result, the experiment must be repeated with higher sample size in order to establish significance and make a strong assertion based on the chip data. future experiments will seek to titrate parameters for and effectuate a chip protocol using mnase, as opposed to sonication, for chromatin fragmentation. more chip experiments on adult cortical, fetal and glioblastoma tissue isolated from postmortem brain are needed to confirm or deny the results presented here. also, immunofluorescence on epileptic brain specimens might shed further light on the question of chd6’s translocation to the nucleus. epileptic seizures are characterized by failure to reuptake glutamate released into the synapse, resulting in prolonged and uncontrolled neuronal depolarization15. this behavior is highly taxing on neurons and often results in a state of cellular figure 3 enrichment of chd6 binding is represented as percent input, relative to zic1, the positive control locus. loci assessed include, egfr promoter (green), b2m (purple), and olig2 (blue). e n ri ch m en t o f im m u n o p re ci p it at ed d n a o v er 2 0 % i n p u t oxidative stress called excitotoxicity16. examining such oxidatively stressed tissue through immunofluorescence could enhance the understanding of chd6’s intra cellular localization. going forward, experiments should seek to elucidate the coordination between chd6 and ctcf8 in the formation of loops within chromatin7. these loops signify the topological landscape of chromatin and are as impactful to transcription as the molecular epigenetic landscape of histones and dna7. to further the body of knowledge around chromatin loops and a potential role for chd6 in catalyzing their formation, coimmunoprecipitation (co-ip) of chd6 should be performed. if chd6 precipitates in complex with ctcf and cohesin, it can be determined whether chd6 has a correlative role in coordinating chromatin loops. the above data provide evidence that suggests a role for chd6 in binding chromatin at actively transcribed loci, such as the egfr promoter or olig2 in fetal cortical and glioblastoma tissue. the results presented here reveal new insights into the changes in the epigenetic landscape contributing to glioblastoma. manipulation of chd6 expression could be considered for treating specific indications of glioblastoma by decreasing transcription of inappropriately expressed genes such as olig2 and egfr; however, further research is needed to fully understand chd6’s role in gliomagenesis. acknowledgment i would like to thank dr. tsankova and dr. tome-garcia whose reagents, support and assistance were critical to performing the immunofluorescence and chip. i would also like to thank parsa erfani for his expertise and guidance throughout the lysate preparation and statistical analysis. thank you to dr. walsh for collaborating on the experimental design, providing the chd6 antibody and 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(2013). the emerging role of the nrf2-keap1 signaling pathway in cancer. genes dev 2013; 27: 2179–2191. [15] chapman ag (april 2000). "glutamate and epilepsy". j. nutr. 130 (4s suppl): 1043s–5s. pmid 10736378 [16] fujikawa, dg (2005). "prolonged seizures and cellular injury: understanding the connection.". epilepsy & behavior : e&b. 7 suppl 3: s3–11. doi:10.1016/j.yebeh.2005.08.003. pmid 16278099. [17] keller, t. c. s. and mooseker, m. s. 2011. enterocyte cytoskeleton: its structure and function. comprehensive physiology. 209–221. [18] bottin-grapin, anne. 2004. ductal cells of the pancreas. international journal of biochemistry and cell biology. 504-510. [19] kosugi s., hasebe m., tomita m., and yanagawa h. (2009) systematic identification of yeast cell cycle-dependent nucleocytoplasmic shuttling proteins by prediction of composite motifs. proc. natl. acad. sci. usa 106, 10171-10176. i. introduction ii. methods a. immunofluorescence b. chip and qpcr analysis iii. results a. chd6 localizes to the cytoplasm in fetal germinal matrix and adult subventricular zone b. chd6 may be enriched at the egfr promoter in fetal tissue and glioblastoma iv. discussion acknowledgment references columbia undergraduate science journal open-access publication | cusj.columbia.edu spring 2013 | volume 7 columbia undergraduate science journal 4 gem cell line establishment, characterization, and analysis daniel chester1* 1abate-shen lab, columbia university, new york ny 10027 abstract the use of in-vitro cell lines in conjunction with in-vivo mouse models is a common practice in the study of cancer. culturing cells with the same genotypes as the specific strains of mice being used in studies can be very important and useful in supplementing the research and findings in-vivo. the purpose of this particular study was to develop, characterize, and analyze different cell lines in order to utilize them in conjunction with mice in the lab. we have successfully established two cell lines from two different mouse models. we determined that the two different genetic strains of mice generate two different types of cells when grown in culture that accurately reflect the source strains. the purpose of this project was to adapt a protocol meant for establishing human breast tumors to mouse prostate models, and then to test if the correct cells had been isolated for future use. western blotting and other testing verified the correct cell type, therefore this project succeeding in developing a method for establishing more cell lines in the future. introduction the united states reported approximately 220,000 new cases and 32,000 deaths due to prostate cancer in 2010 [1]. prostate cancer is the most commonly diagnosed cancer in men and is the second highest source of cancer-related deaths in men in the united states. although men diagnosed with localized prostate cancer have a 5-year survival rate of nearly 100%, men with advanced prostate cancer face a much more difficult challenge [1]. as a result, it is important to develop novel treatments for patients with advanced prostate cancer. for many years, research in the abateshen lab has focused on generating a series of genetically engineered mouse (gem) models to evaluate drug therapies for prostate cancer. this project is part of a larger one aimed at evaluating drugs targeting the androgen receptor signaling pathways that are often used by prostate cancer cells as positive feedback loops promoting their growth and metastasis [2] [3]. this project takes advantage of the gem models that are based on perturbations of molecular pathways that are frequently deregulated in human prostate cancer. no model is perfect, and every experimental system has its own limitations. mice breed relatively quickly and to an extent can be used to reflect human disease, but it can be expensive and very time consuming to develop strains with the necessary genotype in large enough quantities. additionally, it takes 618 months for a mouse to develop prostate tumors. to choose a gem strain to test a drug in terms of response and resistance, it would be beneficial to know which strains are susceptible and respond most effectively to treatment and which strains do not. drug screening in cell lines attempts to address this problem by creating a more efficient and accurate process of deciding which drugs to test on which gem models. with a functioning bank of cell lines representative of each of the different strains held in the lab, any new drug can be tested on all or a selected few representative cell lines at any given point of time. this will reduce turnaround times compared to mouse models. copyright: © 2013 the trustees of columbia university, columbia university libraries, some rights reserved, sorrento, et al. received 1/1/2013. accepted 2/1/2013. published 1/1/13 *to whom correspondence should be addressed: abate-shen lab, columbia university, new york ny 10027, email: djc2162@columbia.edu columbia undergraduate science journal open-access publication | cusj.columbia.edu spring 2013 | volume 7 columbia undergraduate science journal 5 in vitro models are, however, not witho ut their limitations. there is always the fact that cells are dependent on their microenvironment, and drug response can be different in these models. therefore it can sometimes be very challenging to extrapolate from the results of in vitro work back to the biology of the whole organism. however, there are several additional reasons to develop mouse cell lines. a comprehensive collection of developed cell lines gives you the capability to ask questions and come up with answers quickly. using shrna, it is simple and quick in culture to knock out the expression of a certain gene of interest, and observe the effects of that on the growth of cancer cells. there is also the possibility of using the cell lines for injection into nude mice for xenograft studies. this would give an idea of how a tumor, given certain genetic alterations from the gene knockouts performed, would grow in vivo, albeit in a mouse without an immune system. having and being able to manipulate cell lines reflecting our mouse models opens up many interesting experimental possibilities. an understanding of the inducible nature of these mouse models is important for understanding this paper. nkx3.1 is a prostatespecific homeobox gene whose haploinsuffiency or loss predisposes to prostate cancer in humans as well as in mouse models. it codes for a recombinase that, when activated, cuts out other segments of dna in specific places. it can either cut out stop sequences, promoting oncogene activation, or entire tumor supressors, promoting unchecked cancer growth. these alterations are reflected in the mouse models, and the goal of this research is to develop strains that maintain these genetic characteristics. this project is novel in that no other cell lines exist with these exact modifications, and that now we have a repeatable process for establishing them. the methods for establishing the cell lines as well as making sure they were the right ones follows, as well as a discussion of their implications. methods gem models the genetically engineered nkx3.1creert2/+; ptenflox/flox; kraslsl/+ mice (npk mice) developed in the lab as well as nkx3.1creert2/+; ptenflox/flox; hi-myc (npm mice) were used in this study. the nkx3.1 creert2 allele simultaneously inactivates nkx3.1 and drives tamoxifen-dependent cre-mediated recombination in adult prostate epithelium. both strains have the nkx3.1creert2/+ allele, which is heterozygous for nkx3.1 and expresses cre-ert2 under the control of the nkx3.1 promoter. these mouse models also contain a conditional allele for pten (ptenflox/flox) having loxp sites flanking exon 5. the npk mice have a lox-stop-lox kras allele expressing an inducible krasg12d allele (figure a). the npm mice express a transgene coding for the human c-myc specifically in the prostate (figure 1b). for induction of cre activity, tamoxifen is delivered by oral gavage (100mg/kg) for 4 consecutive days, to mice at 3 months of age. the inducible cre allele also allows us to target gene deletion in the prostate epithelium of adult mice. figure 1: strategies for inducible recombination in the prostate [3] a. diagram illustrating npk mouse recombination b. diagram illustrating npm mouse recombination columbia undergraduate science journal open-access publication | cusj.columbia.edu spring 2013 | volume 7 columbia undergraduate science journal 6 cell line establishment we adapted the protocol for culturing breast tumor cells from [4] to create our own prostate cancer cell line cultures. the steps, illustrated below, were as follows: 1) prostate tumors were obtained from the npk and npm mouse models as well as metastases from lung and liver from the npk mice. each successful culture came from one mouse, but three npk and three npm mice were used, one final culture coming from each group. tissues were harvested in dmem media supplemented with 10% fetal bovine serum (fbs), 2mm glutamine, 10mm hepes, 10ng/ml cholera toxin, 0.5µg/ml hydrocortisone, 5µg/ml insulin, and 5ng/ml epidermal growth factor (egf). 2) the tissues were subsequently minced into small pieces. 3) the pieces were differentially centrifuged, and 4) placed into three different cultures labeled “organoid,”   “epithelial,”   and   “mesenchymal”   based on differential centrifugation (figure 2). cells were put onto primary culture plates with the supplemented dmem media. 5) after several passages, the cells were then transferred to regular plates, and grown on rpmi media supplemented with 10% fbs. 6) once the cells were homogenous in morphology and could survive 2-3 passes, the cells  were  considered  “established.”  and  frozen. figure 2: schematic illustration of the cell separation procedure with the representative phase table 1: description of the marker used to characterize the cell lines. cell line characterization cell lines were taken for protein quantification once they were established and 20 70 percent confluent. protein was quantified using the bradford method and 15 micrograms of proteins per gel lane was used. the table below describes each marker tested for and the reasoning behind it (table 1). proliferation rate the proliferation rate of cells was also measured to see the relative rates of growth. cells were plated at 50,000 cells per well for npk cells and 100000 cells per well for npm cells in 6-well plates in rpmi media with 10% fbs and counted every day for five consecutive days results cell line establishment npm and npk cell lines were successfully established in culture from the protocol outlined above. five different strains were established from the npm and npk tumors: npk primary prostate tumor (npk-pt), npk lung metastasis (npk-lm), npk hepatic metastasis (npk-hm), npm primary tumor (organoid, npm-pt1), npm primary tumor (epithelial, npm-pt2) figure 1. the difference between the organoid and epithelial cells of origin for the npm cells is that they were taken from different stages of the differential centrifugation process and grown separately (figure 3). protein marker actin expressed in all cells, used to normalize western androgen receptor expressed in prostate cells cytokeratin 5 basal marker, expressed in epithelial cells of basal origin cytokeratin 8 luminal marker, expressed in epithelial cells of luminal origin e-cadherin epithelial cell marker phospho akt and total akt evidence of mtor activation, consequence of pten deletion phospho erk and total erk evidence of kras activation phospho s6 and total s6 evidence of mtor activation, consequence of pten deletion vimentin expressed in stromal cells columbia undergraduate science journal open-access publication | cusj.columbia.edu spring 2013 | volume 7 columbia undergraduate science journal 7 figure 3: pictures of the different cell lines, at 20x magnification. a. npk-pt cells in culture, b. npk-lm cells in culture, c. npk-hm cells in culture, d. npm-pt1 cells in culture, e. npm-pt2 cells in culture proliferation rate the doubling times of the npk pt, lm, and hm cells were found to be around 17 hours. the doubling time for the npm cells was found to be 27 hours (figure 4). figure 4: growth curves of npk-pt, npk-lm, npk-hm, and npm cells. western blot western blotting of five samples (npkpt, npk-lm, npk-hm, npm-1 and npm-2) was conducted. the npk cells all show high cytokeratin 8 (ck 8), as well as expression of phosphos6 and phosphoakt. they do not appear to express ck5 at high levels and their ecadherin expression is not very high especially compared to the npm cells. all npm cells show high expression of ck 8 and e-cadherin as well as expression of phospho-akt and phospho-s6. npm cells do not express cytokeratin 5 at high levels (figure 5). figure 5: western blot analyses using total protein extracts prepared from the different cell lines, npk-pt, npk-lm, npk-hm, and npm cells. discussion in the speirs et al. paper, they experienced a rate of success with breast tissue of around 30% with the full establishment of cell lines. we experienced a very similar success rate of around 33% from our own attempts. it is important that we now have a protocol for setting up cell lines from our mouse models, and my future research will focus on setting up lines for all the models as well as characterizing them in the ways described previously. after the cell lines were established, it became clear that their morphologies were 0 24 48 72 96 0 1000 2000 3000 4000 npk-pt npk-lm npk-hm npm-pt time (h) ce ll n um be r ( x1 03 ) columbia undergraduate science journal open-access publication | cusj.columbia.edu spring 2013 | volume 7 columbia undergraduate science journal 8 quite different. the cell lines from the npm clones appeared to be more epithelial in nature, as shown below when compared to breast epithelial cells from [5] and the kras tumors cells look more fibroblastic. previously it was shown in the lab that kras tumors contain emt (epithelial mesenchymal transition) cells and western blot supports this (figure 6) [3]. figure 6: comparison of experimental cells with known epithelial cells and cells undergoing emt. a. npm-pt1 cells b. breast epithelial cells c. breast cells undergoing emt d. npk-pt cells the graph showing cell proliferation reflects the in vivo findings that kras mice have especially aggressive tumors that grow very quickly, while the npm mice have slower growing tumors [7]. the western blots helped confirm that both the npm cells were indeed epithelial cells with pten deletion. the presence of e-cadherin in all the cells signifies that they are at least partly epithelial in nature, and the fact that it is expressed to higher levels in the npm cells is consistent with their more epithelial morphology. as npk cells did not express ecadherin as strongly, it can be said that they are not as epithelial in nature, supporting the idea that they are undergoing emt. the fact that they all express phosphor-s6 as well as phosphor-akt indicates that the akt/mtor pathway has been activated in response to pten deletion. when prostate cancer cells take to culture, it has been shown that they become more luminal as opposed to basal in nature, and that occurred in these cells as well. ck8 (a luminal marker) was strongly expressed in all cells while ck 5 (a basal marker) was not as highly expressed [6]. the western blot for ar, vimentin, and phosphor-erk will be performed as part of future research. ar would confirm the prostate nature of the cells, vimentin would indicate how mesenchymal they are in nature (which could confirm the suspicion that the kras tumors are emt in nature), and phosphor-erk would show activation of kras. in the future, myc also will be tested to make sure that npm cells express myc. further research will include the establishment and characterization of other cell lines from others gem models that show different genetic alterations, as well as drug screening, xenograft studies, and gene knockdown studies, as discussed in the introduction. this project provides a protocol and a basis for the future development and characterization of additional cell lines. references 1. vishnu p and tan ww. update on options for treatment of metastatic castrationresistant prostate cancer. onco targets ther. 2010; 3:39-51. 2. kinkade cw, castillo-martin m, puzio-kuter a, yan j, foster th, gao h, sun y, ouyang x, gerald wl, cordon-cardo c and abate-shen c. targeting akt/mtor and erk mapk signaling inhibits hormone-refractory prostate cancer in a preclinical mouse model. j clin invest. 2008; 118(9):3051-3064. 3. floc'h n, kinkade cw, kobayashi t, aytes a, lefebvre c, mitrofanova a, cardiff rd, califano a, shen mm and abate-shen c. dual targeting of the akt/mtor signaling pathway inhibits castration-resistant prostate cancer in a genetically engineered mouse model. cancer res. 2012; 72(17):4483-4493. 4. speirs v, green ar, walton ds, kerin mj, fox jn, carleton pj, desai sb and atkin sl. shortterm primary culture of epithelial cells derived from human breast tumours. british journal of cancer. 1998; 78(11):1421-1429. columbia undergraduate science journal open-access publication | cusj.columbia.edu spring 2013 | volume 7 columbia undergraduate science journal 9 5. sendurai a. mani, wenjun guo, mai-jing liao, elinor ng. eaton, ayyakkannu ayyanan, alicia y. zhou, mary brooks, ferenc reinhard, cheng cheng zhang, michail shipitsin, lauren l. campbell, kornelia polyak, cathrin brisken, jing yang, robert a. weinberg. the epithelial-mesenchymal transition generates cells with properties of stem cells. cell 16 may 2008 (vol. 133, issue 4, pp. 704-715). 6. xin l, lukacs ru, lawson da, cheng d and witte on. self-renewal and multilineage differentiation in vitro from murine prostate stem cells. stem cells. 2007; 25(11):27602769 7. wang xs, shankar s, dhanasekaran sm, ateeq b, sasaki at, jing x, robinson d, cao q, prensner jr,yocum ak, wang r, fries df, han b, asangani ia, cao x, li y, omenn gs, pflueger d, gopalan a, reuter ve, kahoud er, cantley lc, rubin ma, palanisamy n, varambally s, chinnaiyan am. characterization of kras rearrangements in metastatic prostate cancer. cancer discovery. june 2011, 35-43. http://www.ncbi.nlm.nih.gov/pubmed?term=wang%20xs%5bauthor%5d&cauthor=true&cauthor_uid=22140652 http://www.ncbi.nlm.nih.gov/pubmed?term=shankar%20s%5bauthor%5d&cauthor=true&cauthor_uid=22140652 http://www.ncbi.nlm.nih.gov/pubmed?term=dhanasekaran%20sm%5bauthor%5d&cauthor=true&cauthor_uid=22140652 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readers, founded in 2006, the columbia undergraduate science journal was created by a team of graduate students who wanted to provide a collegiate platform for undergraduates to publish their scholarship and to educate students about the academic publication process. with guidance from advisors and faculty, the editorial board strove to produce a professional-level, open-access science journal that provides participants with a valuable experience in publication. since then our board has shifted to being solely composed of undergraduates. while still maintaining our core editorial standards, the journal has evolved to more explicitly try and foster a supportive student research community on our morningside campus. it is this notion of community that can help us cope and process the unfamiliar circumstances of a global pandemic. in quarantine, student researchers can reflect on the utility of science and its capacity to contain and eradicate this crisis. the collegiate scientists of today should recognize this moment for its affirmation in the power of collaboration and community. recall this moment as you go onto make the next breakthroughs in the natural and applied sciences. this year, the columbia undergraduate science journal formalized our intentions for community building, made inroads in connecting previous authors and alumni of our publication, and developed our editorial process further with open journal infrastructure. i was impressed by the quality of our submissions this year and i want to thank each of the authors for their cooperation in the compilation of our journal. i am incredibly proud of what we have accomplished this year. thank you all for your support in the growth of the student research community. the columbia undergraduate science journal editorial board is proud to present the 14th annual columbia undergraduate science journal. congratulations to the authors, thank you to our readers, and enjoy! sincerely, jason mohabir president cusj letter 5 treating neurodegenerative disorders: towards detailed pathophysiology and precision medicine cusj 2018 ________________________________________________________________________________ abstract — the following paper reviews current literature on disease etiology, pathophysiology, and therapeutic options of neurodegenerative disorder (nds). we first discuss current directions of disease management and treatment, and highlight technical hindrances of current gene therapy-based treatments as well as significant ethical, regulatory, and efficacy-based concerns present in current stem cell treatment options for alzheimer’s, parkinson’s and huntington’s disease. we then suggest a narrower focus for future research on identifying molecular, pathological, and biomarker-based disease progression that can in turn inform the development of novel approaches in developing nd therapies. introduction neurodegenerative diseases (nds) encompass a wide range of acute and chronic conditions characterised by the loss of neuron and glial cells in the brain or spinal cord. in acute conditions, due to stroke or spinal cord injury, different types of neurons within a restricted brain region die over a short amount of time. in chronic conditions, there is either a selective neuronal loss of specific sub-populations (such as dopamine neurons in parkinson’s or medium spiny neuron loss in huntington’s disease), or widespread degradation of many neuronal types over several years. for both conditions, no cures currently exist. current clinical approaches adopted can only target symptomatic treatment and disease management, while clinical applications of novel therapies developed for nds have been limited. this paper reviews the current literature on both implemented and developing therapies for alzheimer’s (ad), parkinson’s (pd), and huntington’s (hd) disease, three of the most common and debilitating chronic nds. the symptoms, affected brain regions, and some molecular changes have been identified for several nds, some of which are summarized in table 11. novel therapies have been developed in animal models to target these observed pathological and molecular changes, but significant ethical, economic, regulatory, safety, and etiological weaknesses still hinder their widespread clinical application. within the context of the two main developing therapies examined, gene and stem cell therapy, specific focuses for research are suggested. major milestones in research that must 1 table 1 based on: http://www.nhs.uk/conditions; http://www.neural.org.uk/store/assets/files/20/original/neuronumbers.pdf; be reached before clinical application begin with better understandings of disease initiation and progression. molecular pathological classification through the identification of biomarkers can provide the greatest cross-methodological benefits in furthering effective and personalized treatment of nds. fundamentally, a more thorough understanding of underlying nd pathophysiology can be accomplished through biomarker identification, stem cell-based disease modelling, and genetic research. combined, this knowledge will help develop more personalized and ultimately more effective novel therapies for treating neurodevelopmental disorders. part 1: current approaches: disease management current clinical approaches to addressing ad, pd, and hd all center on disease management and symptom alleviation. the use of pharmacological agents, physical therapy, and caregiving aid is efficient and affordable, but are ultimately only forms of palliative care rather than effective treatments. four acetylcholinesterase inhibitors (donepezil, galantamine, rivastigmine, tacrine) and one nmda receptor antagonist (memantine) constitute the five main medications currently used to provide temporary symptomatic relief to ad patients (desai & grossberg, 2005). the first four enhance cholinergic function by reducing rates of acetylcholine breakdown (as reduced ach levels is related to memory and cognitive decline in ad), while memantine reduces adrelated excitotoxicity (observed in ad & related to neuronal death). further behavioural, psychosocial, and caregiving provisions are used to improve quality of life for ad patients. current therapies for pd are arguably the most welldeveloped and effective among these three discussed nds. drugs such as levodopa or dopamine agonists used in earlier stages of care can restore some motor function, but their efficacy decreases dramatically over time. deep brain stimulation (dbs) and rehabilitation techniques provide further symptomatic therapies for pd (mizuno, 2014). treatments for hd, like those for ad and pd, are only able to reduce symptom severity. various pharmacological treatments are available to reduce chorea. as the disease progresses, physical, speech, and language therapies are used to rehabilitate physical and cognitive function (busse et al., 2012). https://www.ncbi.nlm.nih.gov/books/nbk1352/; https://neurodiscovery.harvard.edu/challenge treating neurodegenerative disorders: towards detailed pathophysiology and precision medicine katie gu stanford university 10 ________________________________________________________________________________ cusj 2018 gaps in current treatment techniques techniques currently available to treat neurodegenerative diseases are able to provide temporary symptomatic relief, but are critically unable to halt the rapid deterioration and progression of neurodegeneration. though the complete causes of ad and pd have not been fully characterised, neurofibrillary tangles, -amyloid plaques, decreased synaptic function, and cortical atrophy observed in ad and the loss of dopaminergic neurons characteristic of pd can be addressed by gene therapy and stem cell-based therapies. these two therapies can also be applied to treat the root causes of hd, which has been attributed to an expanded trinucleotide repeats, the mhtt protein, and consequent neostriatal neuronal loss. however, their widespread clinical application has been limited by underdeveloped understandings of disease etiology and mechanisms of therapeutic action. insights into the molecular mechanisms of nds lie at the crux for the development of novel targets of disease-modifying therapies. therefore, efforts to further gene and stem cellbased therapies (discussed in parts 2 & 3) will benefit from an increased focus on biomarker research (discussed in part 4) to elucidate disease pathophysiologies. part 2: gene therapy2 the theory behind the use of gene therapy to treat neurodegenerative disease is simple: deliver a transgene that either corrects or replaces a defective gene to cure a complex disease using a transfer vector. however, the numerous technical difficulties associated with gene therapy are daunting in complexity: the transfer vector must be easy to produce, safe for patients and the environment, target specific cells efficiently, and not trigger a deleterious immune reaction; simultaneously, the appropriate transduced transgene must be expressed at the optimal level for an optimal duration (sarkis & mallet, 2005). all these factors that must be taken into consideration can only be optimized with increased knowledge of disease etiology, which can be mediated through biomarker research. gene therapy trials gene therapy vectors are either viral or non-viral. currently, the most common viral vectors are adeno-associated viruses (aavs) and lentiviruses. both infect non-dividing and dividing cells, but lentiviral vectors integrate into host genomes while aavs do not. thus, lentivirus integration can confer long-term, stable transgene expression, but poses a risk of integrational mutagenesis. non-viral vectors (mostly used for hd treatment) have more localized effects, require higher 2 this section is based on readings from o’connor & boulis (2015), as accredited in works cited dosage levels, and confer only transient gene expression that is normally insufficient to fully treat chronic nd. viral techniques a series of viral vector-mediated gene therapy trials has been conducted for ad and pd, summarized in the table below. in these trials, aav2-mediated transgenes were injected into patients’ brains, but treatment results either fail to meet or achieve the same level of therapeutic benefit as current standards of care. it is important to emphasize that the efficacy of gene therapy depends critically on the therapeutic gene delivered; this can only be improved by better understandings of the etiology of neurodegenerative diseases. non-viral techniques huntington’s is a genetically acquired disease with a known etiology (cag repeats in the iti5 huntington gene), for which non-viral gene therapy techniques carry significant therapeutic potential. carroll et al. (2011) have developed asos that selectively bind to exonic and intronic snp (single nucleotide polymorphisms) sites on the mutant huntingtin protein (mhtt), thus selectively silencing gene expression of mutated regions on the mhtt. the experiment used primary cells from hdpatients with transgenic mouse lines, and the developed asos achieved potent and selective allele-specific knockdown of mhtt both in vitro and in vivo. this presents the most exciting potential treatment for huntington’s, as aso delivery to adult cns can be achieved through simple intrathecal or intracerebroventricular infusion rather than viral delivery. further, aso dosing can be precisely controlled or stopped when necessary. kordasiewicz et al. (2012) have shown that transient infusion of asos catalysing rnase h-mediated degredation of mhtt in mouse and non-human primate models delays disease progression and sustains hd disease reversal that outlasts aso-mediated mhtt knockdown. thus, clinical trials should be conducted to test the efficacy of gene therapy either through direct aso infusion, or combined with ipsc-mediated transplantation (correcting disease mutations of patient-derived ipscs with asos, then transplanting corrected npcs). low efficacy in gene therapies promising proof-of-principle concepts have been presented in phase i trials, which have shown that gene therapy techniques targeting ad & pd are safe and welltolerated. however, therapeutic efficacy in further clinical trials remains weak, in that observed improvements failed to exceed placebo effect or current standards of care for ad and 11 cusj 2018 ________________________________________________________________________________ pd. non-viral aso-mediated silencing of mhtt expression has proved efficacious in hd-animal models but have not yet moved to clinical trials. in sum, success by design meets failure of efficacy within these gene therapy studies. moving forward, future research must focus first on expanding choices of possible transgenes for delivery, as improvements in vectors and delivery methods depend crucially on efficacy of the transgene delivered. greater understanding in disease etiology will help identify these gene targets. a significant area of development lies in the identification of biomarkers of nds, which would not only improve gene therapy techniques, but also allow for earlier diagnoses, continuous motoring of the progression of therapeutic effects, and the development of precision medicine. part 3: stem cell therapy3 stem cell and ipsc research has significantly furthered neurodegenerative disease modelling, diagnosis, and transplantand drug-based therapies. a plethora of therapies developed in animal models have failed to translate into effective clinical trials due to differences in mammalian genomes and embryonic development (begley & ellis, 2012). human-based stem cell research generates not only potential nd therapies, but also presents clearer pathophysiological models for those diseases. in particular, the development of induced pluripotent stem (ips) cells has presented a unique approach for studying signalling pathways, growth control, and disease mechanisms in previously inaccessible human brain tissue. the main types of stem cells used for neurodegenerative therapies are embryonic, mesenchymal, progenitor, and ips cells (singh et al., 2016). embryonic stem cells are pluripotent and hold excellent potential to restore damage caused by brain injury or neurodegeneration; however, their ability for unlimited self-renewal poses a high risk for tumour formation postengraftment, limiting the range of their clinical application. mesenchymal stem cells are multipotent and immunomodulating (derived from autologous source; do not trigger a host immune response), and thus find a relatively widespread application for neurodegenerative treatment. however, their use in genetic diseases, wherein autologous sources contain the same genetic predisposition to the disease, is limited. neural progenitor cells (npc) and neural stem cells (nsc) are derived from either fetal or adult neural tissue, carry limited differentiation and tumour-formation potentials, but are difficult to isolate and thus lower in availability. ipscs, generated from somatic 3 this section is based on readings from singh et al. (2016), kumar et al. (2016), lunn et al. (2011), goldman (2005), and chmielnicki & goldman (2005), accredited in works cited tissue and reprogrammed using tfs into embryonic stem cell-like states, offer novel sources of autologous cellular therapy. application of the appropriately selected type of stem cell to treat neurodegenerative diseases is mediated through two primary mechanisms. first, stem cells can replace or stabilize neuronal networks that experience both widespread or specific subpopulation-based neuronal loss. second, stem cells can provide environmental enrichment through neurotrophic support to prevent further neuronal degradation. these mechanisms will be discussed in the context of specific neurodegenerative diseases below. following this discussion, i’ll emphasize that the focus of stem cell research should first lie in exploiting its means of modelling disease pathophysiology and providing an in vitro screening tool for screening efficacy and safety of drugs, then on its direct therapeutic applications. i’ll then highlight the potential ipsc research holds in future developments of precision medicine. alzheimer’s complementing current pharmacological ad treatments that regulate neurotransmitter activity (section 1.1), stem cell (sc)-based therapies for ad can also help restore degeneration and loss of cholinergic neurons, and increase levels of brain-derived neurotrophic factor (bdnf) and nerve growth factor (ngf) that are lowered in ad. in mouse models, combinatorial upregulation of bdnf with npc transplants promoted neurogenesis and protected neuronal function. thus, npc-mediated stem cell-based therapy may offer an enhanced approach to preventing adassociated degradation of cholinergic synapses and neurons (tuszynski, 2007). wang et al. (2006) compared transplants of escderived nsc to transplants of esc alone into mouse ad models. as suggested in section 3.0, esc-transplanted mice developed teratomas (escs: unlimited self-renewal capabilities, high risk of tumour formation), while transplanted nscs successfully differentiated into stable cholinergic neurons, improving memory and learning. genetically modified nscs for bdnf expression has been shown in many rodent studies to reduce ad symptoms (lindvall & kokaia, 2010). in these mouse models, increased hippocampal synaptic density, increased cognitive function, and enhanced cell-cell synaptic communication, as associated with increased bdnf expression (blurton-jones et al., 2009; li et al., 2009; xuan et al., 2008). ngf has also been implicated in preventing neuro-degeneration and reducing amyloid toxicity 12 ________________________________________________________________________________ cusj 2018 (tuszynski et al., 2007). in addition to aav2-mediated gene therapy techniques discussed in section 2.1.1, autologous fibroblasts genetically modified to express ngf implanted into patient forebrains have been found to slow rates of cognitive decline in an open-label phase 1 clinical trial (tuszynski et al., 2005). however, fibroblasts are immobile and cannot slow degeneration across large brain regions. transplanted stem cells can efficiently migrate and release growth factors to many damaged sites, but their use in ad treatment has yet to be fully explored. another technique to increase ngf release to treat ad is with encapsulated cell biodelivery (ecb) implants, for which the first clinical trial was conducted in 2008 by the danish company nsgene. encapsulated retinal pigment epithelial cells releasing ngf were implanted into the basal forebrains of six ad patients (wahlberg et al., 2012). at 12 months, implants were retrieved and low but persistent ngf secretion was detected in half of the subjects. thus, both ecb implantation and stem cell-based gene therapy may provide future methods for enhancing ngf expression to counteract cholinergic neuronal death. although nsc transplantations into the adult forebrain of patients may be able to increase cholinergic and cognitive aptitude, they are unable to target the main molecular cause of the disease: accumulation of β-amyloid plaques (blurtonjones et al., 2009). nonetheless, the ability of nsc transplants to enhance cholinergic function, synaptic transmission, and neuronal function is suggested by animal studies and replicated by initial clinical trials (tuszynski, 2007). combining growth factor overexpression with npcs’ ability to integrate across many neural networks thus presents an exciting potential for limiting ad pathogenesis. continued research must be conducted before established sc-based treatments can be developed for ad therapy. parkinson’s earlier open-label studies of human fetal ventral mesencehalic tissue (hfvm) transplants in parkinson’s patients yielded successful long-term pd symptomatic relief, but these results failed to replicate in subsequent placebo-controlled, double-blind trials (brundin et al., 2010). success has been observed in using genetically modified escs and ipscs to derive neurons with the dopaminergic (da) phenotype, but these techniques have not yet been translated into clinical studies. clinical trials using hfvm tissue transplants in the 1990s (madrazo et al., 1988; lindvall et al., 1990) found impressive restoration of dopaminergic neurotransmission and motor-symptom alleviation. in these open-label clinical studies, pet scans showed long-lasting evidence of functionally-integrated dopaminergic neurons forming from transplanted tissue, restored da release in vivo, and reactivation of cortical motor areas. however, the design of these open-label trials contains significant bias and thus deserve cautious interpretation. further, the occurrence of recurring graft-induced dyskinesias (gids) in consequent double-blind trials, in addition to heavy ethical concerns raised over the use of fetal tissue as a therapeutic source, has heavily impeded the clinical development of this form of hfvm-based therapy (brundin et al., 2010). instead, the focus has been shifted to escs and ipscs: mouse model studies have found that overexpression of nurr1, fgf-8, and shh signalling in mouse escs and ipscs has successfully induced midbrain dopaminergic phenotypes and improved functional recovery (kim et al., 2003; cooper et al., 2010). a major concern for esc clinical transplants, however, is the risk for tumour formation observed in animal models (lindvall & kokaia, 2010). as pd patients have normal life expectancies, even a slim risk of tumour formation is unacceptable. initial suggestions of hfvm transplant-mediated pd therapy have been significantly hindered by ethical and methodological issues, while the induction of escs and ipscs into dopaminergic neurons is cumbersome, potentially nonhomogeneous (may contain traces of undifferentiated cells that can lead to teratomas), and currently unsubstantiated by clinical studies. thus, progress made in stem cell-based pd treatments have been slower than for ad. however, ipsc-derived dopaminergic neurons have provided critical insights into the pathophysiology of pd, by providing a sc-based human disease model. abnormalities in mitochondrial and dopamine homeostasis, as well as mutations in parkin and pten-induced putative kinase 1 (pink1) previously noted in animal models have been substantiated by similar data from studies using pd patient-derived ipsc neurons (van laar et al., 2010; cai et al., 2012). though stem cell technology has yet to develop clinically-relevant pd therapies, it has proved effective in modelling parkinson’s. in particular, mutation-bearing ipscs has helped study pd physiology, elucidate underlying signalling cascades modulating the disease, identify pd biochemical markers, and screen efficiency of therapeutic compounds. huntington’s applications of stem cell techniques in hd studies have paralleled those for ad and pd. more specifically, fetal striatal grafting into hd patients have provided transient symptom improvements, but its mechanisms are poorly understood and its use is limited by ethical constraints (bachoud-lévi et al., 2000). both ipscs and escs have been 13 cusj 2018 ________________________________________________________________________________ used to establish differentiation protocols for medium spiny neurons (msn)— these transplantations have shown successful neural circuit development and integration, but are currently restricted to animal models (viegas et al., 2011; precious & rosser, 2012). initial clinical trials using fetal-derived tissue, ipscs, or escs as sources of msns have observed reduced motor and cognitive dysfunction in hd patients. in addition, decreased neuronal loss was observed in hd rodents with npc transplants engineered to overexpress gdnf, as compared to control mice with unmodified nsc transplants, emphasizing the potential of stem cell-based therapies to provide environmental enrichment and protect endogenous neurons (pineda, 2007). for ad, pd, and hd, similar trends in stem cell-based therapies can be observed. early cell-based therapies using fetal ventral mesencephalic tissue (for pd) and fetal striatal tissue (for hd) transplants provided initial support for successful symptomatic relief. however, widespread clinical applications of human fetal tissue transplants has been limited by significant ethical and scarcity issues associated with the nature of the tissue source. subsequent clinical trials have failed to consistently replicate initial data and observed deleterious side effects (teratoma formation, gids, immunorejection). thus, the focus of stem cell therapies has shifted to escs derived nscs induced to certain cell fates or gene expressions (increased bdnf/ngf expression for ad, dopaminergic phenotypes for pd, and msn for hd); however, these induced populations are usually not pure, long-term graft survival is generally low, and any es cells escaping in vitro differentiation carries the potential or yielding teratomas and tumours following transplantation. above all, the development of effective stem cell-based therapies is ultimately hindered by our current lack of knowledge on the mechanisms of action of transplanted stem cells, and how stem cell proliferation, differentiation, survival, and migration are controlled in a pathological environment. the mechanisms of cellular protection provided by sc-mediated trophic support are also not fully understood (mcbride et al., 2004). because current potential risks outweigh validated benefits in their therapeutic applications, research on human stem cells and patientderived ipscs should first be focused on disease modelling and used for screening drugs and other therapeutics. successful development of clinical therapies can begin once more precise disease pathophysiologies and mechanisms of sc action post-transplantation are identified. in sum, the use of stem cells for transplantation has generated enormous ethical, technical, efficacy, and safetyrelated debates. it is true that sc replacement therapy can stabilize and regenerate entire networks of neuronal loss and prevent further neurodegeneration by providing environmental and trophic factors against toxic, neurodegenerative factors. however, with current literature, the greatest functionally validated potential of scs lies in their unique ability to model disease pathophysiology and mechanisms of action. patient-derived ipsc cells may be a particularly tremendous treatment option for personalized medicine in the future, but for now serve as prominent tools for understanding disease etiology on a highly personalized level, as they carry the patient’s genotype, disease mutations, and also account for environmental influences on the individual’s disease. part 4: precision medicine & biomarkers in discussing future developments of neurodegenerative therapies, it is critical to emphasize the importance of elucidating the molecular etiologies of nds. pathologically altered proteins and protein aggregations are fundamental characteristics of neurodegenerative diseases and should be of paramount focus for further research. i’ve alluded to the importance of biomarker research in aiding developments of novel therapies during part 2 & 3’s discussion of gene therapy and stem-cell based treatments. this is because molecular classifications of nds can detail the nature of pathologically dysfunctional proteins and correlate corresponding clinical symptoms to genetic abnormalities. ongoing biomarker research has already identified extracellular deposits of a fibrils and aggregation of abnormally-phosphorylated tau proteins in ad, the presence of lewy body deposits, altered dopamine transporters in pd, and protein misfolding and aggregation associated with mhtt proteins in hd (kovacs, 2016). thus, the ability of biomarker data to identify core disease pathology has already been validated, and therapies targeting these protein abnormalities (through immunotherapy, gene therapy, sc-transplants) have yielded promising results in animal and some clinical models. however, the most exciting potential of biomarker research lies in its ability to characterise patient-specific environment-disease dynamics and gene variations, and consequently provide personalized diagnoses. in the emerging era of precision medicine, the use of biomarkers (detected in body fluids or pet imaging) can provide earlier and more accurate nd diagnosis, and their identified protein dysfunctions can be targeted in translational research using novel therapies. looking forward, biomarker research will contribute greatly to developing pathophysiological disease models, improving immunotherapy, gene therapy and sc-based transplant methods, and moving us closer to personalized 14 ________________________________________________________________________________ cusj 2018 cures for neurodegenerative diseases. similarly, stem cell research can be applied to experimentally model nds. patient-derived ipscs are especially well-suited to uncover specific disease pathophysiologies as they carry the patient’s genotype and bear patient-specific disease mutations and gene-environment interactions. thus, i believe that research focusing on biomarkers, patientderived ipscs, and genetic studies are currently most necessary and potentially most beneficial for current experimental and clinical endeavours for nd cures. table 1: overview of neurodegenerative disorders disorder ~incidence (total in us) brain region affected molecular changes symptoms alzheimer’s disease (ad) 5,000,000 hippocampus, amygdala, neocortex, basal forebrain · neurofibrillary tangles (hyperphosphorylation of tau proteins) · β-amyloid plaques (amyloid peptide aggregates) dementia (cognitive, psychiatric, behavioural) amyotrophic lateral sclerosis (als) 30,000 motor neurons · motor neuron degeneration in spinal cord, brain stem, primary motor cortex difficulty walking, weakness in limbs/arms, slurred speech, muscle cramps and twitching parkinson’s disease (pd) 1,000,000 substantia nigra · dopaminergic neuron loss from nigrostriatum and substantia nigra pars · build-up of lewy bodies, α-synuclein aggregates tremors, bradykinesia, impaired balance and posture, loss of automatic movements huntington’s disease (hd) 30,000 basal ganglia, neostriatum · trinucleotide (cag) repeat in iti5 huntington gene · loss of medium spiny neurons (msn) · toxicity of mhtt: protein misfolding & aggregation muscle problems (rigidity, dystonia), involuntary jerking movements, abnormal eye movements spinal muscular atrophy (sma) 9,000 motor neurons mutations in smn1 gene muscular atrophy, balance and coordination deficits table 2: current therapies for ad, pd, & hd disease pharmacological treatments other treatments alzheimer’s disease · acetylcholinesterase inhibitors (donepezil, galantamine, rivastigamine, tacrine) · nmda receptor antagonist (memantine) · caregiving · behavioural therapy (reduce problem behaviours) · psychosocial interventions (emotion and cognition regulation) parkinson’s disease dopamine replacement (levodopa, carbidopa, selegeline) · deep brain stimulation (of thalamus, globus pallidus, subthalamic nucleus) · physical therapy huntington’s disease chorea treatment (tetrabenazine, benzodiazepines, neuroleptics) · caregiving · physical therapy · speech and language therapy 15 cusj 2018 ________________________________________________________________________________ table 3: viral vector-mediated gene therapies (ad & pd) disease study / trial codes gene therapy method of delivery current status alzheimer’s disease rafii et al., 2014 (nct00876863) aav2-ngf - ngf: nerve growth factor // dysregulated in ad, neuroprotector/cellular therapy efficacy injection into basal forebrain · phase 1 successful*, therapy well-tolerated, ngf-induced axonal sprouting observed · phase ii in progress *success defined by meeting safety requirements and showing functional improvement parkinson’s disease lewitt et al., 2011 (nct00643890) aav2-gad - gad: glutamic acid decarboxylase // ratelimiting biosynthetic enzyme for gaba, reduces excitoxicity injection into subthalamic nucleus phase i & ii successful, but symptom improvements achieved were not better than current standards of care parkinson’s disease bartus et al., 2011 (nct00400634; nct00985517) aav2-nrtn - nrtn: neurturin // delivers support to dopaminergic neurons injection into striatum & putamen · phase i successful, observed increased nrtn expression · phase ii showed no improvement in clinical outcome over controls parkinson’s disease azzouz et al., 2002 (nct00627588; nct01856439) lentivirus-th, aadc, gch1 (*exciting tricistronic vector: cells transduced express all 3 enzymes) - th: tyrosine hydroxylase / aadc: aromatic amino acid dopa decarboxylase / gch1: gtp cyclohydrolase i // three genes encode rate-limiting dopamine biosynthesis enzymes injection into striatum & putamen · phase i (open label) successful, improved motor function correlating with increasing dose · currently optimizing delivery method before phase ii (double-blinded randomized trial) parkinson’s disease muramatsu et al., 2015 (nct02418598) aav2-aadc - (as discussed above) injection into putamen · phase i safety trial successful, stable aadc expression 4 years postdelivery · phase ii recruiting, in progress parkinson’s disease (nct00229736) aav2-aadc intrastriatal infusion · phase i safety trial successful 16 ________________________________________________________________________________ cusj 2018 table 4: overview of current literature on sc-based nd therapies disease stem cell applications goal of sc-based therapies current therapeutic progress alzheimer’s disease · nscs · escs · restore loss of cholinergic neurons · increase bdnf & ngf trophic factors to promote neurogenesis · successful basal forebrain grafts of ngfsecreting fibroblasts (open-label trial, tuszynski, 2007) · development of encapsulated cell biodelivery implants to increase ngf release (nsgene) · no current clinical trials testing sctransplants in ad parkinson’s disease · escs · restore nigrostriatal dopaminergic neuronal loss · successful clinical open-label hfvm transplants (lindvall et al., 1990; madrazo et al., 1988) — provided long-term symptomatic relief, but failed to replicate in subsequent double-blind trials (which observed gids) · successful animal studies using escs & ipscs to derive da phenotype, not yet translated to clinical trials due to risk of tumour formation and technical difficulties huntington’s disease · msns · restore medium spiny neuron loss · successful clinical fetal striatal grafting (bachoud-lévi et al., 2000)— provided transient symptom improvements, but limited by ethical constraints & poorly-understood mechanism of action · successful animal studies using escs & ipscs to restore msn loss, not yet translated to clinical trials 17 cusj 2018 ________________________________________________________________________________ works cited [1] azzouz m., martin-rendon e., barber r.d., mitrophanous k.a., carter e.e., rohll j.b., kingsman s.m. 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(2012). targeted delivery of nerve growth factor via encapsulated cell biodelivery in alzheimer disease: a technology platform for restorative neurosurgery. journal of neurosurgery, 117(2), 340-347. doi:10.3171/2012.2.jns11714 19 microsoft word cusj 11.docx ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 11 abstract — the ability to detect the presence of many neurodegenerative diseases during the early stages has been done with limited success. this article will briefly explore biochemical characteristics of alzheimer’s disease (ad), and current methods for detecting ad. these methods will be evaluated against how accurate and invasive these tests are as well as the time required to conduct one of these tests. as well the innovations made for detecting other neurodegenerative diseases and how these methods could be applied for detecting ad in the early stages. how a diagnostic test based off discussed detection principles will also be detailed in addition to the theoretical creation of a fluorescent assay that could be used as a detection method for ad. i. introduction alois alzheimer first diagnosed what would later become alzheimer’s disease (ad) in 1908 (alzheimer et al., 1991). alzheimer’s first patient stated that she felt “that she had lost [herself]” and claimed that she was possessed by demons (alzheimer et al., 1991). alzheimer, not willing to accept this, believed that his patient was suffering from a form of dementia. the disease was discovered after an autopsy was conducted on the patient, after which alzheimer saw the physical renditions of ad. ad is primarily characterized through groups of matter glommed together that alois alzheimer identified as plaques and tangles. since the discovery of the disease, new methods of diagnosing ad have been developed, but each with varying degrees of success. the more invasive direct methods of detecting ad have shown to have a greater accuracy; however, diagnosing the presence of a specific neurodegenerative disease post-mortem provides no tangible benefit to the patient and others suffering from ad. in this area of research, there is a great benefit in creating earlier methods of detection for ad as well as methods that are less invasive. the disease that was discovered over a century ago still eludes physicians and researchers in how to diagnose and treat this condition. this report will focus on evaluating current methods in the diagnosis of ad and future tests that could indicate the disease. these tests will range from physiological exams and imaging methods such as mri which are less invasive, to more invasive methods such as obtaining cerebrospinal fluid for further analysis. the type of ad that will be focused on throughout this report involves late-onset ad. there have been genetic populations which have shown to have a large presence of individuals with ad in very localized geographic regions (sherrington et al., 1995). the mechanisms by which ad manifests itself in late and early onset ad differ widely. often in early-onset populations, there is a large accumulation of plaques and tangles in the individual as early as 20 years old (sherrington et al., 1995). comparatively, mechanisms by which late-onset ad, and the many factors that go into the propagation of it, shows manifestation around the age of 65. generally, individuals with early-onset ad have shown to have proportionally smaller brains than individuals who experience late-onset ad (sherrington et al., 1995). additionally, determining the difference between alzheimer’s and other types of dementia is important in determining how to better diagnose ad. dementia is a more general term used to describe symptoms that impact memory and recall as well as a decrease in the performance of everyday activities, while ad is a specific form of dementia which has shown to get significantly worse over time and affects memory, language, and thought. neither alzheimer’s nor dementia are considered to be a normal part of the aging process. ii. biochemistry of ad plaques and tangles in ad are created by amyloidbeta and tau aggregates, respectively (ballatore et al., 2007; hardy et al., 1992). beta-amyloid results from the amyloid precursor protein when it undergoes fragmentation (hardy et al., 1992). the presence of amyloid beta protein fragments in a healthy brain is relatively low as these fragments are broken down and removed. when large amounts of protein fragments exist in the brain for prolonged periods of time, they can clump and form plaques (hardy et al., 1992). these plaques can block signaling between cells and are known to cause immune responses that can result in the destruction of nerve cells (hardy et al., 1992). tangles are the result of twisted fibers inside of brain cells due to a protein called tau (ballatore et al., 2007). in normal brains, tau forms the structure of the microtubule which allows for the transport of important substances such as food from one nerve cell to another (ballatore et al., 2007). in ad, tau begins to aggregate, causing the collapse of the microtubule structure (ballatore et al., 2007). this leads to twisting which ultimately leads to a disruption of transportation in the cell, resulting in cell death (ballatore et al., 2007). the production of amyloid beta and tau aggregates have been seen to present in large quantities many years before the diagnosis of ad (ballatore et al., 2007; hardy et al., 1992). usually, tau tangles and amyloid beta plaques begin production in the hippocampus which is responsible for short-term memory, implicating short-term memory loss as the first most immediate sign of ad (hyman et al., 1984; ballatore et al., current methods and future research in the diagnosis of alzheimer's disease gaganpreet jhajj1 2 3 * and mark farinas4 1 department of chemistry, university of alberta, edmonton ab t6g 2g2, canada 2 neuroscience and mental health institute, university of alberta, edmonton ab t6g 2e1, canada 3 department of biochemistry, university of alberta, edmonton ab t6g 2r3, canada 4 department of medical microbiology & immunology, university of alberta, edmonton, ab t6g 2e1, canada cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 12 2007; hardy et al., 1992). from this point, the plaques and tangles invade other areas of the brain, causing a wide host of other symptoms. iii. cognitive exams physiological exams are diagnostic in the late stages of ad and dementia. by this point, the patient often has little chance to deal with the buildup of plaques and tangles and the long-term damage that has already been caused to various parts of the brain. modern physiological examinations may involve simple recall tasks that are tracked over a large period of time to aid in determining the progression of the disease. as the disease progresses through different parts of the brain, individuals can see a loss in speech production, motor skills, and changing temperaments. ad eventually leads to the degeneration of key parts of the brain that control basic functions such as heart rate. diagnosis of ad is often accompanied by individuals forgetting both short and long-term memories which is diagnostic as different memories are stored in different regions of the brain and this can determine how far ad has progressed. in a clinical and familial setting, patients who stop recognizing close relatives and friend were shown to be deep into the progression of ad. one of these tasks involves drawing a clock and filling in the numbers. the clock drawing task shown in figure 1 is part of a larger assessment called the montreal cognitive assessment (moca) (price et al., 2011). figure 1. a comparison of the moca clock drawing task on individuals with ad, vad (vascular dementia), and pdd (parkinson’s disease dementia). figure adapted from price et al., 2011. this test consists of six categories, the first of which is a recall task, and the second of which is a task involving drawing a clock and a specific time, as well as drawing a three-dimensional cube (price et al., 2011). combined, the several cognitive domains that are tested on the moca create a scoring guide out of 30 in which an individual who has a score over 26 is considered to be normal (freitas et al., 2013). individuals with mild cognitive impairment scored an average of 22 and individuals with ad scored approximately 16 (price et al., 2011). various studies have affirmed the role of the moca as a diagnostic assessment for ad and mci; however, it should be noted that there is detection primarily due to the late stage progression of ad in patients (freitas et al., 2013; price et al., 2011). as well, the moca being a specialized assessment looking for cognitive impairments, it is often not administered to patients who may have ad unless there is a strong indication that there is a presence of ad. this is usually the case when the disease has already progressed notably far that it is known there is some form of cognitive impairment. there is an immense need to diagnose ad earlier, to attempt to increase the quality of life for individuals who may be living with ad and increase their life spans. iv. current laboratory tests in a specific study using radiolabeled particles, researchers were able to determine the levels of tau and amyloid beta present in the brain through a variety of imaging techniques (johnson et al., 2012). imaging techniques have their own limitations in the diagnosis of ad, as it is often hard to distinguish specifically which neurodegenerative condition one might have merely through non-invasive imaging techniques such as mri, ct, and pet scans (johnson et al., 2012). additionally, it is not possible for certain individuals to undergo certain methods of imaging which may be due to factors such as metal implants that make mri not feasible and other psychological issues that may prevent someone from undergoing an mri such as being uncomfortable with the loud humming of the electromagnet. there have been studies looking at the usage of a blood test for the detection of ad; however, this is not as indicative as using cerebrospinal fluid (csf), a more valuable diagnostic indicator of ad (o'bryant et al., 2016). the usage of a blood test however, does allow for positive indications of the potential presence of ad allowing patients to see more advanced diagnostic procedures such as csf or further imaging (o'bryant et al., 2016). obtaining csf for analysis for ad is one of the most invasive methods of diagnosing ad (hansson et al., 2006). getting access to csf involves a complex procedure where many patients may not be willing to undergo as it can cause potential complications and discomfort. a more invasive method would be the use of a brain biopsy to diagnose ad. biopsies come with their own associated risks and can cause unprecedented damage to the brain, resulting in why current methods in diagnosing ad are very limited in accuracy and early stage detections. when evaluating the use of a diagnostic test, several key factors should be considered. factors such as accuracy, cost, and time required to run a test should all be considered. the detail in the amount of information a test can provide should also be evaluated alongside of how invasive the test is. a matrix was constructed using this as a framework, and it is seen below in figure 2. ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 13 figure 2. comparison of six detection methods for late stage ad. the effectiveness of six methods of detection for latestage/end-stage ad were compared relatively using the factors of accuracy, invasiveness, and time required for tests. a is the 3d overview of the graph while b to d shows in each 2d plane the relative performance of each method to one another. the values used for this graph quantitatively are arbitrary but provide a qualitative comparison between available methods. image generated with (geogebra, 2018). v. current and future research the current limitations in the detection of ad stem from the lack of accuracy in less invasive methods coupled with the fact that most of these methods are good at detecting late-stage ad. an ideal test would be able to detect precursors such as amyloid through an obtained sample such as blood. thioflavin t (tht) and congo red can both interact and bind to fibrils which allow for the detection of the accumulation of amyloid. tht has been shown to increase in fluorescence when binding to aggregated amyloid occurs. using properties of diagnostic dyes and their derivatives, new tools and tests can be developed to detect the wide array of differently formed and shaped amyloid plaques. applications of assays using tht fluorescence to detect prion diseases has been shown to work in diseases such as creutzfeldt jakob disease (cjd) (orrù et al., 2017). using a process called real-time quaking-induced conversion (rt-quic) researchers were able to use csf and nasal brushings to achieve a diagnostic sensitivity greater than 90% (orrù et al., 2017). rt-quic was also used to diagnose parkinson's disease (pd) through obtained csf to quantify α-synuclein a major component of lewy bodies in pd (groveman et al., 2018). a schematic of the process used in rt-quic can be seen below in figure 3. this technology has the potential to be applied to the detection of ad. figure 3. a schematic overview of the rt-quic detection method. figure adapted from orrù et al., 2017. using similar tests discussed in the previous literature for the detection of neurodegenerative conditions such as pd and cjd, there is future potential for the detection of plaques using tht (groveman et al., 2018; orrù et al., 2017). a laboratory test could be developed in an attempt a b cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 14 to improve the detection of conformers of amyloid in obtained samples. this proposed method of detection aims to result in detecting ad during early stages of disease progression by identifying plaques while working towards using a less invasively obtained sample such as blood. initially, an ad diagnostic test similar to that of cjd and pd would require the usage of csf but the goal of this proposed bench test would be to improve the detection of ad in at least one of the domains of accuracy, time, or decrease invasiveness. vi. discussion traditional methods of obtaining samples for amplification involve the use of harsh detergents which may result in loss of potential sample. using seeding, the formation of amyloid fibrils can be accelerated (groveman et al., 2018). rapid techniques for the quantification of primary markers of ad is needed for a more rapid diagnosis. by using the cerebrospinal fluid (csf) in new detection techniques, it is possible to identify and amplify specific biomarkers pertaining to a specific neurodegenerative condition. rt-quic has used αsynuclein (αsyn) seeds to provide a higher diagnostic accuracy when diagnosing pd (groveman et al., 2018). the study used csf from 29 synucleinopathy cases and 31 controls, which included 16 samples from patients with ad (groveman et al., 2018). the diagnostic accuracy of this test was over 80% (groveman et al., 2018). the csf was obtained by carrying out a lumbar puncture, and approximately 20 ml of fluid was used for the rt-quic procedure (groveman et al., 2018). αsyn seeds promoted amyloid fibril formation, which was then seen by the fluorescence of thioflavin t (tht) (groveman et al., 2018). tht is able to bind to amyloids at two sites with a high density (bs1 and bs2) and one at lower density (bs3). these binding sites are lined with hydrophobic and aromatic residues, as seen in figure 4 (reinke and gestwicki, 2011). figure 4. representation of the different binding sites on the amyloid fibrils. figure obtained from reinke and gestwicki, 2011. when tht binds to the β-amyloid fibrils, the fluorescence increases due to the change in carbon-carbon interactions between the aniline and the benzothiazole in tht, as seen in figure 5 (reinke and gestwicki, 2011). figure 5. chemical structures of tht and bta-1 to show the major system of a benzothiazole ring system attached to a functionalized aniline. figure obtained from reinke and gestwicki, 2011. when bound to fibrils, steric hindrance prevents rotation and allows the tht to easily transition into an excited state (reinke and gestwicki, 2011). using an amine functionalized microplate, a phosphate buffered saline (pbs) solution would be added and incubated on the microplate for a period of approximately 45 minutes (interchim.fr, 2018). afterward, the plate would be washed with the coupling buffer two times, and then the plate would be blocked with solution (interchim.fr, 2018). the formation of amide bonds using 1-ethyl-3-(3-dimethylaminopropyl) carbodiimide (edc) generates bonds between carboxylic acids and amines (andersen and denmark, 2018). edc allows for the formation of a o-acylurea by activating the carboxylate. using n-hydroxysulfosuccinimide (sulfo-nhs), a hydrolysis resistant ester can be formed as under aqueous conditions the compound can undergo hydrolysis which greatly limits the obtained yield (andersen and denmark, 2018). the activated ester undergoes a reaction with sulfonhs, which allows for the formation of a stable succinimidyl activated ester. this reaction can be seen in figure 6 (andersen and denmark, 2018). figure 6. reaction scheme for the immobilization of dnplabelled tri-peptide. figure obtained from andersen and denmark, 2018. ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 15 using these, tht cross-linked plates would allow for the capture of tau aggregates as well as amyloids and seeds in their native forms without degrading signal strength through the use of harsh detergents. then, using recombinant monomers of amyloidogenic proteins, it would be possible to look for amplification. the amplification of certain amyloid proteins and a lack of others could aid in distinguishing between neurodegenerative diseases, if no cross seeding is present. the study mentioned previously has had similar success when methods were applied to the detection of cjd (groveman et al., 2018). the binding interactions between tht and the tau fibrils also need to be understood to provide a more accurate baseline reading for the extent of aggregation present in the samples. the seeding assays initially will use samples that have come from patients confirmed of having ad and seeing how this method can amplify signals from a known source. as used in the method for both pd and cjd, csf will ideally be used to run the rt-quic procedure. when compared to previous seed amplification methods, the rt-quic procedure allowed for more rapid quantification of αsyn seeds in the csf (orrù et al., 2017). this is all done by maintaining high degrees of sensitivity and specificity in diagnosing pd. the large success of this established protocol gives a promise for similar methods to be used for the detection of primary markers of ad (groveman et al., 2018; orrù et al., 2017). early stage detection of primary markers of alzheimer’s disease could provide immense health benefits for patients. in order for effective treatment of ad, methods such as the rt-quic protocol could be adapted and optimized for the quantification of tau seeds (orrù et al., 2017). the csf used in the rt-quic procedure resulted in a diagnostic accuracy greater than 80%, which is higher than conventional detection methods (groveman et al., 2018). investigating further the formation of fibrils in specific tauopathies would be needed to ensure this method has a greater accuracy. effective methods to detect the formation of primary ad markers would allow for timely treatment to slow the progression of this disease. vii. conclusion the early stage detection of alzheimer’s disease would provide the best health outcome for patients. the large populations in developing nations entail that there will be a rapidly increasing diagnosis of alzheimer’s in the coming years. the best way to decrease the burden on the health care system and allow patients to live normal lives for longer periods of time would be to slow the development of plaques and tangles. however, to provide correct treatment, there need to be effective early-stage diagnostic methods which currently there are a few that are proven to be reliable and non-invasive in nature. an ideal test would detect ad early, be minimally invasive, be accurate, and be able to be conducted rapidly. innovations in any of these areas would greatly increase ad diagnosis and treatment. innovations in the detection of cjd and pd could translate to future methods in detecting ad. potential benchtop tests involving tht and its binding interactions with amyloid could be developed in the near future using detection methods similar to the rt-quic detection method. author information corresponding author gaganpreet jhajj* gjhajj@ualberta.ca abbreviations alzheimer’s disease (ad) thioflavin t (tht) cerebrospinal fluid (csf) creutzfeldt jakob disease (cjd) real-time quaking-induced conversion (rt-quic) vascular dementia (vad) parkinson’s disease dementia (pdd) references alzheimer, a., förstl, h., and levy, r. (1991). on certain peculiar diseases of old age. history of psychiatry 2, 7173. ballatore, c., lee, v., and trojanowski, j. (2007). taumediated neurodegeneration in alzheimer's disease and related disorders. nature reviews neuroscience 8, 663-672. freitas, s., simões, m., alves, l., and santana, i. (2013). montreal cognitive assessment. alzheimer disease & associated disorders 27, 37-43. groveman, b., orrù, c., hughson, a., raymond, l., zanusso, g., ghetti, b., campbell, k., safar, j., galasko, d., and caughey, b. (2018). rapid and ultrasensitive quantitation of disease-associated αsynuclein seeds in brain and cerebrospinal fluid by αsyn rt-quic. acta neuropathologica communications 6. hansson, o., zetterberg, h., buchhave, p., londos, e., blennow, k., and minthon, l. (2006). association between csf biomarkers and incipient alzheimer's disease in patients with mild cognitive impairment: a follow-up study. the lancet neurology 5, 228-234. hardy, j., and higgins, g. 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(2017). rt-quic assays for prion disease detection and diagnostics. prions 185-203. cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 16 price, c., cunningham, h., coronado, n., freedland, a., cosentino, s., penney, d., penisi, a., bowers, d., okun, m., and libon, d. (2011). clock drawing in the montreal cognitive assessment: recommendations for dementia assessment. dementia and geriatric cognitive disorders 31, 179-187. reinke, a., and gestwicki, j. (2011). insight into amyloid structure using chemical probes. chemical biology & drug design 77, 399-411. sherrington, r., rogaev, e., liang, y., rogaeva, e., levesque, g., ikeda, m., chi, h., lin, c., li, g., and holman, k. et al. (1995). cloning of a gene bearing missense mutations in early-onset familial alzheimer's disease. nature 375, 754-760. direct imaging of exoplanets with project 1640 briley lewis1 under the guidance of rebecca oppenheimer american museum of natural history central park west at 79th street, new york, ny 10024, usa cusj spring 2017, submitted april 10, 2017 abstract project 1640 is a suite of instrumentation and software focused on high-contrast imaging of exoplanets, probing the parameter space of companion size > 1mj and distance 5-50 au around the host stars. the instrument consists of an apodized lyot coronagraph, with a mach-zender interferometer and an integral field spectrograph, forming data cubes of dimensions right ascension, declination, and wavelength. p1640 is operated at palomar observatory in southern california, in conjunction with their palm-3000 adaptive optics system. data reduction models out remaining speckle noise using principle component analysis and produces a residual cube, which can then be manually inspected for possible companions. for this summer project, data reduction using the karhunen-loéve image projection (klip) algorithm was completed on many of the survey stars and inspected, in an effort to search for more candidates. at this time, two possible candidates have been found, and are awaiting further confirmation. keywords: data analysis, exoplanets, instrumentation, planetary systems, undergraduate 1. introduction in the past two decades, exoplanet science has blossomed as a field, exciting both the scientific community and the general public. the first exoplanet, 51 pegasi b, was discovered in 1995 with the radial velocity method (mayor & queloz 1995), marking the start of a new age of “planet hunting.” kepler was then launched in 2009, an entire nasa mission devoted to discovering planets based on the transit method, and to date is has revealed over 5000 candidate planets and 3000 confirmed planets (e.g. borucki et al. 2010, and numerous others). despite the success of these techniques, it was not until 2008 that we truly saw an exoplanet by collecting light from the object itself (marois et al. 2008; oppenheimer & hinkley 2009; traub & oppenheimer 2011). direct imaging of exoplanets is a feat of engineering and physics; in order to achieve the contrast needed to resolve a planet orbiting a nearby star, the instrumentation must overcome the overwhelming brightness of the star and the noise created by diffraction and scattering, both from within the optical system and from the atmosphere above. despite these challenges, it is possible to image exoplanets, and even to extract their spectra to better understand their composition. using all of these techniques, we now have tools to answer many questions, such as: how are planetary systems formed? what types of planets are there in the universe? how common are these planets? are there any other habitable planets? how are brown dwarfs and planets related? how can we classify sub-stellar objects? project 1640 at the american museum of natural history aims to answer some of these questions. started in 2008, this project is a 99-night survey at the palomar 200-inch hale telescope, seeking to discover and directly image brown dwarfs and large exoplanetary companions (hinkley et al. 2008; beichman et al. 2010; hinkley et al. 2011; oppenheimer et al. 2012). the parameter space being probed by this instrument is generally a distance bll2124@columbia.edu 1 department of astronomy, columbia university, 550 w 120th st, new york, ny 10027, usa from the host star on the order of 5-50 au (where au means “astronomical unit,” the distance between the earth and the sun), and of a companion mass of one jupiter-mass (mj) or greater. over 200 possible target stars were chosen based on the following criteria: nearby, for higher spatial resolution; young, so that planetary companions are still self-luminous from heat of formation; and bright, since the instrumentation operates best with a greater flux of photons from the star (beichman et al. 2010; oppenheimer & hinkley 2009). of these target stars, about 150 have been observed by the team and are being processed to find possible stellar/sub-stellar or planetary companions, and even some previously undiscovered binary systems. after eight years, the survey recently came to a close as of the june 2016 observing run at palomar observatory, and the group is now in the process of sifting through all the data and computing statistics to come to broader conclusions about the zoo of exoplanets in the universe, including ideas about how to classify these objects. 1.1. why is it so difficult to see an exoplanet? the primary difficulty in directly studying exoplanets lies in the fact that planets, even young, self-luminous ones, are very faint compared to the stars they orbit and in extremely close angular proximity. for example, if we were to look at our own solar system from a distance of 10 parsecs, jupiter would be about 10−8 to 10−12 times fainter than the sun (depending on the wavelength of observation) and only 0.5 arcsec away. thus both angular resolution and suppression or control of the light from the star are required to see an exoplanet (oppenheimer & hinkley 2009; traub & oppenheimer 2011). to understand the difficulty of this, imagine first how a telescope functions. without atmospheric distortion or imperfections in optics, a star viewed through a circular aperture, such as that of a telescope, does not appear as a single point. instead, its “point spread function” (psf) follows the airy function. the psf is the angular probability distribution of where a photon will strike the mailto:bll2124@columbia.edu 2 b. lewis image plane of an optical system, essentially describing the image formed. the airy function, in essence, is the fourier transform of the entrance aperture’s illumination pattern (in this case a simple, uniformly lit circle). it takes the shape of concentric “airy rings” around the circular, bright core of the source, whose angular width in radians is roughly λ/d, where λ is the wavelength of light and d is the diameter of the telescope(nyquist 1928). the airy function is simply a result of diffraction of light by the telescope, an insurmountable aspect of physics (at this time). for reference, λ/d is roughly 40 milli-arseconds (mas) for a 5-m telescope observing at λ = 1 µm. in the example of viewing our solar system and trying to detect jupiter from 10 pc away, that angular size, the limit to the resolving power of the telescope, is a mere 12 resolution elements from the sun. the airy rings are at that separation only about 10−4 times the brightness of the sun. thus with simple imaging techniques, jupiter would be completely swamped by the psf of the sun by a factor of about a million. simply having a perfect, reasonably sized telescope with a standard camera behind it does not permit the direct study of exoplanets (oppenheimer & hinkley 2009; traub & oppenheimer 2011). furthermore, most real telescopes also have a secondary mirror suspended above the primary entrance aperture that creates a central hole in the circular aperture. this modifies the airy function in a way that brightens the airy rings. this secondary mirror has to be supported physically, usually with beams of metal that cross the aperture in a symmetric “x” pattern. these are called “spiders” and they also induce additional, extremely bright diffraction in the form of spikes of light emanating from the central core of the image. these diffraction “spikes” have a brightness dependent on the width of the support spiders. diffraction spikes typically have a brightness of 10−3 that of the star, but they are localized in the image only in the directions of the spiders themselves (typically n-s and e-w for an equatorial mount telescope). in addition to diffraction, other real-world problems make imaging exoplanets even harder. these problems can be binned into one piece of jargon: “speckles.” speckles come from (1) imperfections in the wave front of light entering the telescope and (2) imperfections in the optics of the telescope and whatever instrumentation is placed behind the telescope. speckles are both dynamic and quasi-static. the atmosphere causes speckles that are stochastic and highly variable in time; while the speckles from imperfect optics are quasi-static, only affected by changes in the optical surfaces themselves, such as sagging when the telescope is rotated and the gravity vector changes, or expansion due to a change in temperature. this speckle noise currently poses one of the most significant challenges to high-contrast observations (oppenheimer & hinkley 2009). speckles appear in an image as bright dots of light, as their name suggests, roughly of the same size as λ/d scattered about the image in a seemingly random pattern (fig. 1). unfortunately, speckles do not behave like a typical gaussian noise source that can be dealt with through simply collecting more data and averaging it together (as one does with long-exposure faintsource detection in fields such as extragalactic astronomy). rather, they exhibit statistical behavior that requires that they be controlled or eliminated in order to overcome their contribution to the background of light that a real object is being observed against (hinkley et al. 2007; crepp et al. 2011; fergus et al. 2014). fortunately, the speckles have two properties that allow for control and elimination. first, because speckles are an optical effect due to an imperfect wave front of light used to form the final image (c.f. §2.3), one can attempt to detect and correct these imperfections optically. second, also because they are an optical effect, their size and location in the image follows the λ/d relation mentioned above. at longer wavelengths they are larger and farther away from the star in the image, and at shorter wavelengths they are closer and smaller. fig. 1, demonstrates this effect. a real object on the sky does not change its position simply because of the wavelength of light it is being observed with. thus, one can discern a real object from speckles simply because it does not move when viewed in images taken at different wavelengths (fig. 1). figure 1. four example coronagraphic images at different wavelengths from 1.0 to 1.8 µm. speckles on the red end are further away from the star. on the blue end the same speckles are closer. the real object at top right does not move relative to the star. thus real objects can be discerned from speckles. 2. project 1640 instrumentation in order to image exoplanets, project 1640 employs several techniques to overcome the difficulties described in §1.1. for the purposes of a quick introduction, these techniques include (1) apodization and coronagraphy to control diffraction, (2) very high-order adaptive optics and precision wave front sensing to control both atmospheric and quasi-static speckles and (3) a specialized imaging device that takes images at 32 different wavelengths at once to permit discerning real objects from speckles due to the motion of speckles as a function of wavelength. a schematic of this complex suite of instrumentation is shown in fig. 2. first, we can significantly reduce transmission of the host star’s light by adding an apodized pupil and a lyot coronagraph, blocking the core of the star. wave front correction is then dealt with using adaptive optics and and interferometer, which will be further discussed in §2.3. an integral field spectrograph (ifs) is added before the detector, which aids in post-processing removal of remaining speckle noise, and also allows for low-resolution spectra to be taken from the companion objects, providing information about their compositions and more direct imaging of exoplanets 3 (hinkley et al. 2011; oppenheimer et al. 2012). figure 2. summary of optical system of gemini planet imager, the southern counterpart to project 1640, which has the same components. adapted from macintosh et al. (2008). section numbers here refer to documentation in macintosh et al. (2008), not in this paper. we describe each subsystem below by first describing control of diffraction, then control and elimination of speckles. in discussing diffraction, we will ignore speckles and assume a diffraction-limited psf in order to describe how to suppress diffracted light in an ideal optical path. it is important to note that there are a great number of other techniques for high-contrast imaging, including speckle nulling, interferometry, and other forms of coronagraphy; the instrumentation described here is specific to project 1640, and is closely related to that of the gemini planet imager (macintosh et al. 2014) and the eso’s sphere project at the very large telescope (beuzit et al. 2006). 2.1. apodized pupil to improve upon this system, a graded transmission function can be added to the telescope entrance pupil (the leftmost opening in fig. 3) to “soften” the effects of diffraction. this “apodization” reduces the brightness of both the airy rings and speckles, allowing the instrument to achieve higher contrasts overall (soummer 2005; soummer & aime 2004; soummer et al. 2003b,a; oppenheimer & hinkley 2009). the apodization optic used in project 1640 is shown at bottom-left of the top panel of fig. 3. 2.2. lyot coronagraph further control of diffracted light is achieved with coronagraphy. two masks are used to obscure starlight in the lyot coronagraph, eponymous with its inventor (lyot 1939). the first mask is placed in the focal plane, known as the “occulting spot” or “focal plane mask.” this mask blocks out the light from the core of the star, similar to holding your thumb over a bright light to block it from your vision. the second mask is placed at the pupil plane, where it blocks some of the bright, diffraction of the focal plane mask, as well as diffraction from the secondary mirror and the spider support structure; this is the “lyot stop” or “pupil plane mask.” the optical schematics of coronagraphy are shown in fig. 3. light from a planet in the field of view is not blocked, even with the presence of the occulting spot, due to the fact that light from a planet would be coming from off the central axis. that is, it is coming in from a different spatial location from the star, and thus takes a slightly different path than the on-axis star, avoiding the occulting spot as shown in fig. 3 (bottom panel). figure 3. top: a diagram of a lyot coronagraph. airy rings are visible in the “modified pupil” image. adapted from oppenheimer & hinkley (2009). bottom: path of both “on-axis” and “off-axis” light through the coronagraph, from kenworthy (2016). 2.3. palm-3000 adaptive optics as mentioned earlier, the wave front of a star’s light is not an ideal simple flat plane due to atmospheric turbulence, temperature differences near the telescope, and aberrations in the optics. there are imperfections, referred to as “wave front deformations,” which can significantly lessen resolution and cause speckles, reducing the contrast we can achieve with our instrument. though the data quality is inherently somewhat dependent on the natural seeing conditions, adaptive optics systems allow for some correction of this wave front, and can bring the telescope and instrument significantly closer to diffraction-limited seeing. adaptive optics, using a natural guide star, works by sensing the input wave front from the target star and quickly changing the shape of a deformable mirror to counteract the deformations, ideally producing a flat wave front as shown in fig. 4 (oppenheimer & hinkley 2009). the hale telescope’s new system, palm-3000 (dekany et al. 2013), has 3388 actuators controlling the two deformable mirrors, allowing them to be adjusted 2000 times per second to quickly process the incoming wave front and correct it. one of the mirrors, with around 200 actuators, deals with low-order corrections, the larger deformations in the wave front, whereas the other mirror has a much higher density of actuators for high-order corrections, the much finer details of the wave 4 b. lewis front (dekany et al. 2013). additionally, there is a small tip/tilt mirror, dealing with the lowest-order corrections; it adjusts using a proportional-integral-derivative loop controller to simply keep the star at the center of the image, allowing the ao system to focus on more detailed corrections. figure 4. top: diagram of the basic concept of adaptive optics. adapted from veicht (2016). bottom-left: simulation of input wavefront corrupted by the atmosphere, the image that results in below. bottom-mddle: shape imposed on deformable mirror. bottom-right: corrected wave front and below that the corrected image (courtesy j. lloyd). to improve upon palm-3000, project 1640 additionally uses a mach-zender interferometer, referred to as the cal (calibration) interferometer (zhai et al. 2012; vasisht et al. 2012). the light rejected by the coronagraph, as well as part of the beam that will eventually travel to the ifs detector, are both processed by this interferometer, sensing any remaining deformations in the wave front down to 1 nanometer. cal sends this information back to the palm-3000 adaptive optics system, which then corrects for this deformation. since cal is placed after the coronagraph in the optics, it allows for corrections within the system, greatly improving the image and thus the achievable contrast (oppenheimer et al. 2012; zhai et al. 2012; vasisht et al. 2012). since we have control over the deformable mirror, it is also possible to purposefully impose deformations onto the wave front, creating an image in the final science exposure. this is how “grid spots” on the data are created; these grid spots are a sinusoidal perturbation inserted into the wave front, which creates four identical images of the star outside the focal plane mask with known locations and brightness (see fig. 5, left). the intersection of these four spots details the location of the star, which would otherwise be unknown when the star is occulted, allowing us to perform astrometry calculations and some photometry on the data if a companion is found (sivaramakrishnan & oppenheimer 2006; marois et al. 2006; oppenheimer & hinkley 2009). in fact, the project demonstrated relative astrometry between alcor and its newly discovered companion at a level of a few mas, allowing for parallactic motion to be used to show, within months, that the companion is indeed orbiting alcor (zimmerman et al. 2010). previously companion confirmation relied upon showing that the two objects have common proper motion across the sky over years or more. 2.4. integral field spectrograph the last physical part of the project 1640 instrument (aside from computers, electronics and software) collects the data. project 1640 has a detector with a 3.8 x 3.8 arcsecond field of view, placed after an integral field spectrograph (ifs). the ifs contains an array of lenslets, which break up the incoming light into spectra, allowing us to take 32 simultaneous images in different wavelengths. within this 2040 x 2040 pixel space on the detector, there are approximately 37,000 spectra, spanning the wavelength range of 995-1798 nanometers. these spectra are extracted from the raw data to form data cubes, with dimensions of right ascension, declination, and wavelength (zimmerman et al. 2011; oppenheimer et al. 2012). the range of the detector falls in the near infrared, including the y, j, and h bands. project 1640 is aptly named, as 1640 nanometers falls within the detection range of our instrument, and in fact is the wavelength at which the system optimally suppresses a star’s light. surveys for direct imaging of exoplanets, such as this, are conducted in the infrared because the planets we are able to image would still be glowing in the infrared from the heat of their formation. this is why our survey stars chosen are young (beichman et al. 2010; oppenheimer et al. 2012; david & hillenbrand 2015). 3. data collection at palomar observatory project 1640 has completed its 99 nights of observations over a span of 3 years at palomar observatory’s 200-inch (5.1-m) hale telescope in southern california. this reflecting telescope, constructed in the 1940s, has been a workhorse of modern astronomy since, with notable achievements such as the discovery of the first quasar, 3c 273 (schmidt 1963). palomar observatory is also where project 1640’s own r. oppenheimer discovered the first methane brown dwarf, gliese 229b, in 1995, using a coronagraph on the 60-inch telescope and a spectrograph on the 200-inch telescope (nakajima et al. 1995; oppenheimer et al. 1995, 1998; oppenheimer 2014). as a part of this summer project, i had the opportunity to participate in the june 2016 observing run with the project 1640 team at palomar, which was incidentally the last official run of the survey. multiple collaborators, from johns hopkins, caltech, nasa jpl, columbia university, palomar observatory, and the american museum of natural history, were also present, allowing me direct imaging of exoplanets 5 figure 5. examples of project 1640 data. left: one λ slice of a raw data cube with visible gridspots. right: one λ slice of a residual data cube after processing using klip. the opportunity to learn from each about a different aspect of this project. this experience also allowed me to participate in and directly learn about modern observational astronomy, from set-up of the instrument to actual data collection and observation logs. 4. data processing even with the complicated optical instrument described above, that is still not enough to achieve the contrasts necessary to image an exoplanet or sub-stellar companion since speckles remain in the image. in many normal astronomical contexts, this extra light would be negligible; yet, when most of the starlight has been removed, speckles become prominent features in the image, as seen in the raw data in fig. 5, left. this leads to the question how can we possibly remove speckle noise? it is mostly random, unable to be accurately modeled by a physical process. instead, we turn to the speckles themselves, using their properties and presence in one image of a data set to model them out of the other images in the data set. one important property to note is their radial movement; as speckles are mostly a result of diffraction of wave front distortions through the optics, they appear to move radially outwards with wavelength as described in §1.1. this feature is what allows spectral differential imaging (sdi), used in project 1640 to aid in modeling out speckles, and also makes it possible to discern planets within the residual noise (oppenheimer & hinkley 2009). spectral differential imaging exploits the radial movement of speckles with respect to wavelength (see fig. 1). this is why project 1640 uses the ifs to obtain simultaneous images at multiple wavelengths, so we can discern the speckles from a real object. if we scale and align all the slices of a single data cube, so that the grid spots coincide, the speckles will also be in similar positions. a planet, on the other hand, will be in different positions in each cube, since it is stationary in the original images. an algorithm can then model out the speckles, which are present in the same place in each scaled image, without modeling out the planet. 4.1. project 1640 data pipeline the method used to model speckles is referred to as psf subtraction, since the goal is to reconstruct the point spread function of the star, including the speckles, and then subtract it from the science image, thus revealing the psf of a fainter companion object. the klip (karhunen-loéve image projection) algorithm is an implementation of principle component analysis, similar to the s4 and loci (locally optimized combination of objects) algorithms that also reconstruct psfs for subtraction (soummer et al. 2012; fergus et al. 2014). post-processing of project 1640 data is mainly handled by both s4 and klip; however, for this project, i have been reducing data with klip. though it may seem redundant to reduce data twice, it is actually a powerful tool for confirming the validity of a candidate object. since each algorithm has different strengths and shortcomings, if a candidate is visible in both outputs, that is a strong indication that it is not simply a product or error of the modeling. before processing data with klip, it is necessary to visually inspect each cube to ensure that it is of the quality needed for this survey. since palomar observatory schedules specific nights for observation, instead of queue observing, some data was taken in worse seeing conditions than desired. less than 1.4 arcsecond seeing is optimal; however, data with higher seeing values is not entirely excluded if the entire data set is under those conditions. science exposures for this project must be fully occulted by the mask, greater than 180 seconds exposure time, with clear grid spots, and in acceptable seeing conditions. such stringent requirements are necessary since any of these factors can prevent us from seeing a faint companion. since klip also requires precise grid spots for scaling and aligning of cubes prior to running the speckle-modeling algorithm, it is necessary to fit spots to the image with an algorithm, and then visually inspect those spot fits to ensure they are correct. with spot fitting completed, the klip algorithm is able to scale and align the frames of the data cubes so that the grid spots coincide, then proceed with the principle component analysis speckle modeling. 4.2. karhunen-loéve image projection (klip) with an input of scaled and aligned data cubes, klip performs psf subtraction on each cube individually, using one frame of the cube as the target image and the rest of the frames as reference images. in order to re-create the speckles of the psf to subtract them accurately, klip computes principle component analysis, including a karhunen-loéve transform, for which it is named. in essence, principle component analysis is the process of creating an orthonormal basis that can represent the speckle noise in the data, in order to rebuild an image of that noise that is as similar to the original as possible (e.g. minimizing the difference between the image and the model). to start, the algorithm separates the wavelength slices of the input cubes into a target image t (n), and a set of reference images rk(n). a whole data set (multiple cubes, generally around 10) is loaded for klip, so all the slices at one particular wavelength become the “target” images and the rest of the wavelengths are references. for example, an input cube has dimensions (32, 250, 250). if we input two cubes into klip, these dimensions become (64, 250, 250). one is chosen as the target image, so then we have one set of data with dimensions (250, 250) and another, the reference images, with dimensions (63, 250, 250). all images of the same wavelength as the target are taken out of the reference set, leaving the reference set in this case as (62, 250, 250). some wavelengths are intentionally left out of 6 b. lewis the reference image set to reduce contamination, so then that leaves a set of around (54, 250, 250) (j. aguilar, personal communication, july 28, 2016). keep in mind that the target image can contain an astronomical signal (e.g. the point spread function of a companion) in addition to the noise, so the target image can be represented as the linear addition of the noise and an astronomical signal; our reference images are assumed not to contain the astronomical signal, implying they are images of only the noise that is to be modeled out. in order to model more accurately, klip segments these images into search areas, slicing the image into a specified number of annuli and sections of angle φ (soummer et al. 2012). for these search areas, the karhunen-loéve transform is computed in order to create an orthonormal basis of eigenimages, which are basically the reference images rp weighted by the eigenvectors of the basis ck and normalized by the eigenvalues λk. the index p tracks the reference image number, n is the pixel index within the image, and k is the index of the eigenvector. a number up to k eigenvalues and eigenvectors are included in the computation. essentially, we take a certain cutoff number of eigenimages, which are the “principle components” that make up the most of the reference image; these eigenimages are weighted by eigenvalue as to how important they are in the reference image in question. zk then is the weighted sum of reference images for a given eigenvector of the basis k. smaller features are not modeled, since they are less important, e.g. less weighted by eigenvalue. this is part of why this process isn’t entirely exact, and cant get rid of all speckles in a given image. (zk)kl = 1√ λk k∑ p=1 ck(ψp)rp(n) additionally, given an infinite number of references, it would be possible to find a basis that exactly represents the input data; however, we are limited to at most the p = 31 slices of each cube, not including the frame selected as a target image, so our basis is only an approximation. this process can be visualized for the first four eigenimages of an arbitrary reference image in figure 6. figure 6. reconstructed image with its eigenimages, weighted by eigenvalue. (image from a talk by václav hlavaĉ) however, not all eigenimages should necessarily be included fewer modes (e.g. number of eigenimages included) can lead to under-modeling, not subtracting enough of the noise to see a faint object, but too many kl modes can lead to over-modeling, subtracting out any signal from the objects we are searching for (soummer et al. 2012). to compensate for this uncertainty, klip is run with a variety of parameters (annuli, angular sections, kl modes) over each image. this produces multiple outputs, including a “median-combined” image, which averages the residual outputs of all kl-mode options for a given set of annuli and angular sections. following computation of zk for each eigenvector, t is projected onto zk for all pixels n in the image, giving a measure of the similarity between the two images. the weighted sum of reference images itself is multiplied by this product, weighting it by importance in the final sum for the reconstructed psf i(ψ0). this is repeated for each eigenvector k in the basis. i(ψ0) = k∑ k=1 < t, (zk)kl > (zk)kl(n) given this model, psf subtraction can finally be done, creating a final residual image f (n) (soummer et al. 2012). f (n) = t (n)− iψ0(n) 4.3. planetary detection in order to detect planets and other companion objects in the data, it is necessary to again exploit the radial motion of the speckle noise. when viewing the residual data cubes after using klip, or other psf subtraction algorithms, the remaining speckles that have not been modeled out generally still appear to move. an exoplanet, on the other hand, would not share that property of radial motion, and can be seen as the one fixed object in the image. attempts have been made at automating this data searching with an algorithm, but at this time the human eye is still superior. 4.4. signal-to-noise ratio maps in addition to visual inspection of raw data cubes, signal-to-noise ratio (snr) maps can be useful for more easily distinguishing a candidate object from the background. in our residual data cubes, the pixel values should approximately follow a gaussian, with the distribution centered at zero, due to details of the klip algorithm that produces the processed data cubes. additionally, the pixel values tend to fall off radially in the residual cubes, due to the fact that the majority of noise from the host star is concentrated at the center, where the host star is physically located in the image. these properties can be harnessed to judge the significance of a detection; essentially, we are trying to see where the planetary signal falls on this gaussian of pixel values. if the pixels fall within one standard deviation, they are likely from this same distribution of the noise. for example, if they are three standard deviations away (a “3 sigma detection”), then we can judge that they may arise from a different distribution altogether and are therefore significant. by looking at standard deviations, we can judge the confidence with which we can claim a detection; a one-sigma detection implies that there is an approximately 68% chance the object is not from the noise. three-sigma detections are more accepted as valid, however, as they imply a 99.7% chance the object is not a part of the noise. signal-to-noise ratio maps are one way of judging the significance of a detection based on the standard deviation of the pixel values in the image. we assume that direct imaging of exoplanets 7 0 20 40 60 80 100 120 140 0 20 40 60 80 100 120 140 h band snr map 0 20 40 60 80 100 120 140 0 20 40 60 80 100 120 140 j band snr map 0 20 40 60 80 100 120 140 0 20 40 60 80 100 120 140 h and j bands snr map 0 20 40 60 80 100 120 140 0 20 40 60 80 100 120 140 all bands snr map 0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 0.0 0.8 1.6 2.4 3.2 4.0 4.8 5.6 6.4 7.2 0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 test figure 7. example snr map, for a ”test” object. companion is clearly visible near upper right limb of the star. the noise is the one-sigma value of the pixel value distribution, and then divide all pixels in the image by this value to calculate the “signal-to-noise ratio”. in theory, a significant detection should stand out as a bright spot in this sort of map, where the signal is significantly higher than the noise. with a value seen over this threshold, we could claim a one-sigma detection. one sigma is not a particularly high confidence level, but is good enough for a preliminary look at the data, which is all this technique aims to accomplish. to claim a more conclusive detection, we would need to reach towards the three to five sigma level and use more complex methods. 5. results approximately 40 out of the 150 survey stars have been processed with klip as a part of this summer project. much of the data processed is marginal, in seeing or weather conditions that are not ideal, or with less than a full set of data (considered to be 60 minutes or more of observation time). one prospective candidate object has been discovered, very close to our detection limits2. it only appears in four pixels in the residual data cubes processed with klip, from an observing run in july 2015, and is visible in multiple wavelength bands. there is currently only one epoch of project 1640 data on this star, and a second epoch of observation was completed in august at the w.m. keck observatory in hawaii with some of our collaborators; however, this data was of marginal quality, and was not able to give us additional information. this star is on the list for re-observation in p1640’s final follow-up run at palomar observatory in april 2017. additionally, a second possible companion has been discovered around a different star. though originally noticed in a reduction processed with the s4d algorithm, it is also now seen in a reduction done with klip as a part of this summer project. it is visible in multiple wavelength bands throughout the data cube, and appears to be fairly large, especially in comparison with the other possible companion mentioned above. there is only one 2 names of these objects are omitted from this paper, as more work is needed before we announce any possible discovery. papers in preparation are not noted since we are still in the early stages, but are in progress for some candidates. figure 8. first possible companion (circled) around an occulted star in a klip-processed data cube. figure 9. second candidate companion (circled). left: slice of the residual data cube, processed with s4. right: slice of the residual data cube, processed with klip. epoch of p1640 data on this star as well, from april 2015. to follow up on this object, other members of the team are extracting a spectrum from this object using the s4s algorithm. if the spectrum indicates it is a viable candidate, we plan to re-observe when it is visible again in april 2017. lastly, a third possible companion has been discovered around yet another star. first observed in july 2015, this object was observed again in october 2016. both epochs of data, as well as the signal-to-noise ratio maps for each, clearly show the presence of a large bright spot at least 1σ above the noise. based on preliminary astrometric estimates, this object is moving opposite the direction of expected motion of a background star, indicating it may be gravitationally bound to its host star. with more detailed calculations, we hope to further constrain some of its orbital parameters to ensure that it is a physically plausible system. a spectrum is in preparation and should provide more detail on this object as well. 6. discussion based on reductions of other data, there is a possibility the first candidate is an artifact of either the detector itself or the klip reduction process. similar bright pixels have appeared in multiple data sets at nearly the same coordinates and in similar slices of the cube, but not exactly identical. additionally, we have not yet been able to see this same possible companion in reductions with s4 (example shown in fig. 11), so a spectrum will have 8 b. lewis figure 10. third candidate companion (circled). left: slice of the residual data cube, processed with s4. right: slice of the residual data cube, processed with klip. to be obtained through other methods, such as aperture photometry, to investigate this issue further. the lack of detection in s4 does raise doubt about the credibility of this object, but that is not a strong enough indication to completely disregard this object as a false positive. the second and third candidates, however, seem greatly promising, given their clear visibility in both data reductions and in the signal-to-noise ratio maps. spectra are required for further work on these objects, however, and a second epoch of data is needed for candidate two and will hopefully be obtained at the april 2017 observation run at palomar. figure 11. example of four spectra extracted using the usual s4s methods of project 1640. (oppenheimer et al. 2013) 7. conclusion though there are many possible pitfalls in the complicated, new world of direct imaging, the possibility of three new directly imaged planets is extremely exciting. few planets have yet to be discovered by direct imaging, though the technique has been proven to work by imaging known systems, such as that of hr8799. as the technology improves, this technique seems promising for unveiling important and interesting information about extrasolar systems. these new direct imaging surveys such as project 1640, gemini planet imager, sphere, and others mark a new age of astronomy and high-contrast imaging, which is the result of years of innovation in instrumentation, mechanical engineering, optical systems, data processing algorithms, and more. though so far we have not discovered as many planets with direct imaging as originally expected, those that have been revealed through all methods of detection topple the preconceptions of what a planetary system is expected to look like. hot jupiters, circumbinary planets, and many other objects already discovered represent the great diversity of planets, and are simply the tip of the iceberg for what exists for scientists to discover. the next few decades should be a time of great excitement and revolutionary thought, answering questions about how solar systems form and planets migrate, how to define the wide range of sub-stellar objects in existence, and even how to find prospective habitable planets and life on other worlds. this paper is based on observations obtained at the hale telescope, palomar observatory. this work was funded through the national science foundation research experiences for undergraduates program. the author would also like to thank the rest of the project 1640 team for their support and guidance over the course of this internship, especially rebecca, jonathan, emily, ricky, aaron, and statia, as well as all those who made the 2016 amnh reu possible. facilities: hale (project 1640) references beichman, c. a., krist, j., trauger, j. t., et al. 2010, pasp, 122, 162 beuzit, j.-l., feldt, m., dohlen, k., et al. 2006, the messenger, 125, 29 borucki, w. j., koch, d., basri, g., et al. 2010, science, 327, 977 crepp, j. r., pueyo, l., brenner, d., et al. 2011, apj, 729, 132 david, t. j., & hillenbrand, l. a. 2015, apj, 804, 146 dekany, r., roberts, j., burruss, r., et al. 2013, apj, 776, 130 fergus, r., hogg, d. w., oppenheimer, r., brenner, d., & pueyo, l. 2014, apj, 794, 161 hinkley, s., oppenheimer, b. r., brenner, d., et al. 2008, in society of photo-optical instrumentation engineers (spie) conference series, vol. 7015, society of photo-optical instrumentation engineers (spie) conference series, pp. 701519–701519–10 hinkley, s., oppenheimer, b. r., soummer, r., et al. 2007, apj, 654, 633 hinkley, s., oppenheimer, b. r., zimmerman, n., et al. 2011, pasp, 123, 74 kenworthy, m. 2016, phd thesis lyot, b. 1939, mnras, 99, 580 macintosh, b., graham, j. r., 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b. r. 2011, direct imaging of exoplanets (university of arizona press), 111–156 vasisht, g., cady, e., ligon, e. r., et al. 2012, pasp, submitted veicht, a. 2016, phd thesis, columbia university zhai, c., vasisht, g., shao, m., et al. 2012, in society of photo-optical instrumentation engineers (spie) conference series, vol. 8447, 259 zimmerman, n., brenner, d., oppenheimer, b. r., et al. 2011, pasp, 123, 746 zimmerman, n., oppenheimer, b. r., hinkley, s., et al. 2010, apj, 709, 733 abstract introduction why is it so difficult to see an exoplanet? project 1640 instrumentation apodized pupil lyot coronagraph palm-3000 adaptive optics integral field spectrograph data collection at palomar observatory data processing project 1640 data pipeline karhunen-loéve image projection (klip) planetary detection signal-to-noise ratio maps results discussion conclusion 2017-letter-from-the-editors dear readers, after a year of developments, we are proud to present the spring 2017 columbia undergraduate science journal. the current edition of the journal features topics from all over the natural sciences. this year, our main focus regarding the journal was to extend the reach of the journal to universities all over the world. as the cusj’s mission is to encourage students to involve themselves in scientific discovery, we saw no need to restrict our scope to only columbia university. we received submissions from diverse areas such as biochemistry, astrophysics, and electrical engineering. our team also published the second issue of the columbia junior science journal, a journal meant to introduce high school researchers to the world of research publication. after making changes to the previous columbia research scholars journal to better reflect the mission of the journal, we were proud to publish many of the incredible submissions sent in from high schoolers from around the united states, and invite several of them to our annual spring symposium. in addition to producing the two research journals for high school and college students, the cusj also seeks to foster the undergraduate research community at columbia university. this year, we worked hard to further this goal by hosting several events on campus. in the fall, the cusj hosted an event to assist undergraduate students in the process of soliciting a research position. in the spring, the cusj hosted dr. george yancopoulos, founder of regeneron and chief scientific officer, and held the annual symposium. this year’s the cusj spring research symposium involved a welcome address from dr. gasperov, the undergraduate science research adviser at columbia university, as well as a poster session where students presented on their research. the awards of excellence this year went to nicholas page from rutgers university and sarah lundell from fordham university. this spring, the cusj also established the cusj colloquium, a bi-weekly undergraduate speaker series where students from an array of scientific disciplines presented their research in a comfortable peer setting. students discussed topics in research subjects including two-dimensional materials, exoplanets, biofilms, viral binding, ophthalmology, and photosynthetic origins of life. our publications, the cusj and cjsj, and the events we hosted this year could not have happened without the hard work of our editorial team and the assistance of our faculty board and advisors. natalie kolba, editor-in-chief osman moneer, president microsoft word cusj_spring_2015_journal.docx !cusj%|%volume%9%|%spring%2015% 7% the genetics of human behavior katherine kim1 & david streid2 1department of biochemistry, columbia university, new york, ny, usa 2department of biology, columbia university, new york, ny, usa behavioral disorders arise from environmental, lifestyle, and genetic factors. past studies have shown evidence for the hereditability of several major behavioral neuropsychiatric disorders, such as schizophrenia, depression, and bipolar disorder. in these cases, certain genetic defects are passed down from parental generations and increase an offspring’s risk of inheriting a specific disorder. while neuropsychiatric disease susceptibility cannot be attributed solely to genetics, it is important to study how one’s genetic makeup can affect various facets of human behavior. uncovering this link between genes and behavior could lead to the discovery of new biological factors involved in the development of highly prevalent neurological responses and disorders. a recent study in behavioral genetics has shown that there may be a genetic basis for irrational phobias. it highlights the possibility that phobias are a form of inherited defense mechanism passed down through familial genes. in this study, researchers dias and ressler from the emory school of medicine subjected mice to fear conditioning by exposing them to the scent of chemical acetophenone, which smells like cherry blossoms, before administering electric shocks to the mice. offspring of these mice (which were not exposed to the same conditioning as their parents) showed fearful responses to the odor of acetophenone, even when smelling it for the first time. this demonstrated that they had acquired a phobia of the chemical odor. structural abnormalities were also discovered in the olfactory bulbs of the offspring mice. upon sequencing the mice’s sperm dna, dias found that the gene encoding m71, an odo receptor activated by acetophenone, was methylated in the conditioned parental and direct offspring generations. however, it is unknown whether this epigenetic alteration in sperm dna was responsible for the offspring’s heightened odor sensitivity. it is possible that different biological mechanisms worked in conjunction to translate the inherited ancestral experiences to irrational phobias in the offspring. other studies in behavioral genetics have shown that some neuropsychiatric disorders are less heritable—or have a weaker genetic component—than others. for example, while genes may account for more than half of the risk for certain neuropsychiatric disorders, such as schizophrenia or bipolar disorder, the hereditability of anxiety and depression appear to be lower. according to dr. pine at the cold spring harbor laboratory, approximately 30-50% of the risk for anxiety and depression is genetic, while the other 50% to 70% of the risk may be attributed to environmental factors, such as substance use, stress, diet, and childhood experiences. anxiety disorders are the most common form of mental illness in the u.s., affecting 18% of the total population. depression is also common, with around 10% of americans experiencing a major depressive disorder at some point in their lives. despite the high prevalence, genetic disposition for anxiety and depression is weak when compared to other neuropsychiatric disorders. as scientists, we must determine why this is the case. is it due to a difference in the number of gene defects? for example, are there less genetic variations linked to anxiety and depression than to other more heritable diseases? or are depression/anxiety genes less evolutionally conserved? only by answering these questions can we get a firm understanding of the genetic root of these conditions and develop ways to prevent or fight the disorders. we must examine the gene defects themselves. perhaps, in behavioral disorders with relatively low heritability, the gene variations only minimally disrupt the major pathways of the brain. in such cases, it would be wise to study non-genetic factors that trigger the behavioral response. in addition, a psychodynamic treatment approach – alleviating a patient’s mental tension with the help of a psychiatrist—may be more helpful than invasive medical procedures. on the other hand, personalized medicine, such as gene therapy, may be the best option for treating significantly inheritable disorders, like schizophrenia. through advancements in gene testing, doctors are able to conduct pre-symptomatic diagnostic tests to see the risk for patients with a family history of inherited neurological disorders. tests can detect abnormalities, which may include missing or heavily altered sections of a gene, or genes that are inactive or lost, in dna or rna samples of patients. in other cases, a test may detect excessive rna from a single gene, indicating that it is overexpressed in the body. identifying and fixing these problematic sequences in the genetic code requires extensive knowledge of the human genome. physicians providing personalized medicine must take into account a patient’s genetic makeup to determine the best form of targeted treatment for an illness. through genetic research, we are slowly beginning to unravel the biological basis for many neuropsychiatric disorders. understanding the role of genes in highly prevalent neurological responses, like anxiety and phobias, is crucial for designing effective treatments tailored to patients who are suffering these conditions. specifically, by identifying the genetic markers associated with inheritable neuropsychiatric diseases, we can analyze a patient’s risk of disease inheritance and responsiveness to existing medical treatment. this knowledge will make a powerful impact on the medical community and the future of medicine. columbia undergraduate science journal open-access publication | http://cusj.columbia.com 20 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu n eu ro sc ie n c e cusjcolumbia undergraduate science journalresearch articles 21cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu m o lec u la r bio lo g y identifying serum-inducible sequence elements on the mouse zfp36 promoter max shutran1,*, ron prywes 2,* 1tufts university school of medicine, boston, ma 02110, 2department of biological sciences, columbia university, new york, ny 10027 apuj�äunly�wyv[lpu�����a-7����pz�hu�95(�ipukpun�wyv[lpu�[oh[�kv^uyln\sh[lz�[ol�[yhuzsh[pvu�vm�jly[hpu�nlul�wyvk\j[z�i`� inducing the degradation of mrna. zfp36 is an immediate-early gene: its transcription is activated directly following appropriate cellular stimuli, without any need for intervening protein synthesis. prominent mrna targets of zfp36 are tumor uljyvzpz�mhj[vy����;5-�����lwpklyths�nyv^[o�mhj[vy��,.-��huk�j�mvz��(z�klmlj[z�pu�[ol�j�mvz�huk�,.-�wh[o^h`z�oh]l�illu� consistently found in cancers, zfp36 is thought to be a tumor-suppressor. zfp36 also is responsible for the suppression vm�;5-����np]pun�p[�hu�hkkp[pvuhs�yvsl�pu�[ol�jvu[yvs�vm�[ol�puåhtth[vy`�ptt\ul�ylzwvuzl��;o\z��z[\k`pun�[ol�yln\sh[pvu� huk�hj[pvu�vm�a-7���th`�`plsk�puzpno[z�pu[v�tljohupztz�\uklys`pun�jhujly�huk�puåhtth[vy`�z`ukyvtlz��;v�l_htpul�[ol� regulation of zfp36, two conserved regions upstream of the start of transcription were assayed for their ability to confer serum induction. using a luciferase reporter gene system in hela cells, we show that neither region examined is induced by serum. key words: electron transfer, photosynthesis, quinones, uv-vis spectroscopy immediate-early genes are characterized by immediate transcriptional activation upon appropriate stimulation, including treatment of cells with mitogen-containing serum, without any need for intervening protein synthesis (johansen, 1995). as they are among the !rst genes to be activated in many signaling pathways, immediate-early genes provide a gateway to study the cellular response. zinc !nger protein 36 (zfp36) is an immediate-early gene product that regulates the expression of some genes by destabilizing their mrna. "e protein binds to au-rich sequences on mrna and catalyzes removal of the polyadenylated tail, reducing the half-life of the rna (blackshear, 2002). "e zinc !nger motif is common in dna and rna binding proteins, though zfp36 is unusual in that it has a cys3-his zinc-coordinating domain, as opposed to the more common cys2-his2 domain (tchen, 2004). "is slight di#erence in peptides might subtly impact the nucleotide binding dynamics of zfp36. notable genes regulated in part by zfp36 include tumor necrosis factor-ơ� (tnf-ơ), epidermal growth factor (egf) and c-fos, a transcription factor that promotes proliferation (amit, 2007) mice de!cient in zfp36 develop an excess of tnf-ơ, and the overabundance of this cytokine results in autoimmune complications such as arthritis (lai, 1998). as egf and c-fos are both implicated in proliferation, zfp36 is also thought to act as a tumor-suppressor (amit, 2007) "e zfp36 gene is regulated in several ways. tchen and colleagues et al. have shown that the zfp36 gene is mitogen-inducible via protein kinase p38 (tchen, 2004). "is result is consistent with qpcr data demonstrating that zfp36 is induced (upregulated) strongly by serum after one hour (figure 1). however, the upregulation seems to be independent of serum response factor (srf), the transcription factor that primarily mediates the serum response (prywes, unpublished data). lai and colleages showed that there are important regulatory elements downstream of the start of zfp36 transcription, and at least one of those regulatory elements is on an intron (lai, 1995; lai, 1998). given that zfp36 is induced by serum one hour after induction, we hypothesized that there may be additional serum-dependent regulatory elements upstream of the start of transcription. we identi!ed two conserved regions in the promoter region of mouse zfp36 and used a luciferase reporter gene assay to test the ability of each region to confer serum induction in hela cells. however, we ultimately ascertained that neither region was able to confer serum induction of zfp36 in hela cells. "is study and other studies of the regulation and action of zfp36 will provide vital information about this protein, and further research will play a signi!cant role in gaining a better understanding of the biological pathways for proliferation and in$ammation. introduction copyright: © 2009 the trustees of columbia university, columbia university libraries, some rights reserved, albert, et al. received dec. 29, 2009. accepted feb. 8, 2009. published april 5, 2009. *to whom correspondence should be addressed: columbia university, department of biology. 813b fairchild center. neew york, ny 10027 max.shutran@tufts.edu mrp6@columbia.edu the connections to appear unclear. by stereotaxically injecting virus we can also be more accurate and consistent with future injections into the mouse brain. different orientations of slicing must be tested in order to find the optimal orientation for preserving connections. once the connection from ca1 to the ec is clearly established, we also plan to examine the connections projecting from the ec to ca1. this anatomical data will contribute to the success of future electrophysiological studies. i would like to thank dr. siegelbaum for giving me the amazing opportunity to perform research in his lab and rebecca piskorowski for her helpful advice, constant guidance, and patience. i would also like to thank justine barry for her frequent and important support, guidance, and instruction, sebastian thuault for one of his mouse brains, and the rest of the siegelbaum lab. buzsaki, g. 1989. two-stage model of memory trace formation: a role for “noisy” brain states. neurosci 31: 551-570. de curtis, m., d. paré, and r.r. llinás. the electrophysiology of the olfactory-hippocampal circuit in the isolated and perfused adult mammalian brain in vitro. hippocampus. 1991 oct;1(4):341-54. eichenbaum, h., a.p. yonelinas, and c. ranganath. “the medial temporal lobe and recognition memory.” annu. rev. neurosci. 2007.30:123-152. eldridge, l.l., b.j. knowlton, c.s. furmanski, s.y. bookheimer, s.a. engel. nat neurosci. remembering episodes: a selective role for the hippocampus during retrieval. 2000 nov;3(11):1149-52. franklin, keith b. j., and george paxinos. the mouse brain in stereotaxic coordinates, third edition. new york: academic, 2007. godement, p., j. vaselow, s. thanos, and f. bonhoeffer. (1987) a study in developing visual systems with a new method of staining neurons and the processes in fixed tissue. development, 101: 697-713. heredia, m., m. santacana, and f. valverde. a method of using dii to study the connectivity of cortical transplants. journal of neurosci methods. 36 (1991) 17-25. honig, m.g. and r.i. hume (1985) interactions between sympathetic preganglionic neurons and sympathetic ganglion neurons in vitro. neurosci. abstr. 11:98. hyman, b.t., g.w. van hoesen, a.r. damasio, and c.l. barnes. alzheimer’s disease: cell-specific pathology isolates the hippocampal formation. science 225: 11681171. johnston, daniel, and david g. amaral. “hippocampus.” the synaptic organization of the brain. ed. gordon m. sheperd. 4th ed. new york: oxford up, 1998. print. naber, p. a., f. h. lopes da silva, m. p. witter. reciprocal connections between the entorhinal cortex and hippocampal fields ca1 and the subiculum are in register with the projections from ca1 to the subiculum. hippocampus. 11 (2001) 99-104. o’keefe, john. a review of the hippocampal place cells. prog neurobiol 13: 419–439, 1979. tamamaki, n. and y. nojyo. (2003) preservation of topography in the connections between the subiculum, field ca1, and the entorhinal cortex in rats. journal of comparative neurology, 353: 379-390. van groen, t., i. kadish, and j. m. wyss. species differences in the projections from the entorhinal cortex to the hippocampus. brain res bull. 2002 feb-mar 1;57(34):553-6. van groen, t., p. miettinen, and i. kadish. the entorhinal cortex of the mouse: organization of the projection to the hippocampal formation. hippocampus. 2003;13(1):133-49. vindal-sanz, m., m.p. villegas-pérez, g.m. bray, and a.j. aguayo. (1988) persistent retrograde labeling of adult rat retinal ganglion cells with carbocyanine dye dii. exp. neurol., 102:92-101. witter, m.p., floris g. wouterlood, pieterke a. naber, and theo van haeften. anatomical organization of the parahippocampal-hippocampal network. ann n y acad sci. 2000 jun;911:1-24. zola-morgan s., l.r. squire, and d. g. amaral. human amnesia and the medial temporal region: enduring memory impairment following a bilateral lesion limited to field ca1 of the hippocampus. j neurosci. 1986 oct;6(10):2950-67. references (jruv^slknltlu[z columbia undergraduate science journal open-access publication | http://cusj.columbia.com 22 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu m o le c u la r bi o lo g y cusjcolumbia undergraduate science journalresearch articles 23cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu m o lec u la r bio lo g ypriate ph, dna binds weakly to the calcium phosphate particles, and cells which endocytose the precipitate may take up the genetic material. each transfection comprised a reporter plasmid, an rlsv40 plasmid, and the non-luciferase plasmid pcan, thus keeping the total dna quantity constant at approximately 1 µg/µl. !e rl-sv40 plasmid carries the enzyme renilla luciferase, which is coupled to a promoter from the sv40 virus. since renilla luciferase can be measured independently of "re#y luciferase, and the sv40 promoter is expressed constitutively, this plasmid was used to control for variable transfection e$ciencies. in one experiment, the alternate renilla plasmid rl-tk was used, which has a tyrosine kinase promoter in place of the sv40 promoter. cells were plated onto 24-well plates the evening prior to transfection at a density of 6.5 x 104 cells per well, in dulbecco’s modi"ed eagle medium (dmem) containing 10% ncs. transfection mixtures were prepared using 1.75 µl of 2.5 m calcium chloride, the appropriate plasmids, and water to a total volume of 16 µl. !e reporter plasmids were added at a concentration of 125 ng per well, and the renilla plasmid at a concentration of 66 ng per well. for each reporter gene, four identical wells were prepared to allow for duplicates. each transfection mixture had a total volume of 64 µl. to each tube, 64 µl of hbs (a ph-adjusted mixture containing soluble phosphate salts) was added. !e tubes were vortexed brie#y and allowed to sit for 10 minutes at room temperature to allow the calcium phosphate to precipitate. !en 32 µl of each mixture was added to the appropriate well. !e following morning, the media was replaced with 10% ncs in dmem. serum induction and luciferase assay on the afternoon of the day following transfection, the media in all of the wells were changed to 0.2% neonatal calf serum (ncs). !e following morning, the cells in half of the wells were induced by adding 125 µl of pure ncs, raising the serum concentration to 20%. !ree hours after serum induction, all cells were washed with sterile pbs and treated with 100 µl of passive lysis bu%er, which keeps cytosolic proteins intact during lysis. !e cells were left at room temperature for 20 minutes on a slowly rotating shaker. a bioluminescence detector was used to assay luciferase activity. two reagents were used for the assay: luciferase materials and methods plasmid construction two plasmids, pzfp-2791-fgl3 and pzfp-1835fgl3, were constructed from a plasmid called pzfp-3.7fgl3 that had been made previously. !e insert was excised with two di%erent enzyme combinations: kpni and hindiii in one case, and kpni and bglii in the other. !is resulted in linearized plasmids that carried an ampicillin resistance gene, a minimal promoter from the human cfos gene, and a "re#y luciferase gene. !e two promoter regions of interest were obtained from pcr ampli"cation of mouse genomic dna. !e primers delineated regions from -2591 to -1810 and from -1835 to -901 base pairs relative to the start of transcription, with regions chosen based on mammalian conservation patterns (figure 3). each primer was designed with overhangs to insert the restriction sequences into the pcr products. each pair of plasmid and pcr product was ligated at 14 ˚c for four hours using the t4 dna ligase enzyme. !e resultant plasmids were transformed into e. coli for ampli"cation. sequencing revealed that the pzfp1835-fgl3 plasmid had only a single-base change in the c-fos minimal promoter region. !e pzfp-2590-fgl3 sequence showed an extra, non-contiguous piece of mouse zfp36 dna that had been inserted due to the presence of an internal bglii site in the mouse gene. !is piece was excised and the plasmid ampli"ed to give the correct sequence. !e other plasmids transfected were pcyr61, a control for which moderate serum induction was expected (babic et al.), pofgl3, which contains only the c-fos minimal promoter and luciferase, and two other plasmids (pzfp3.7-fgl3 and pzfp-932-fgl3), which incorporate regions of the mouse promoter at -3700 and -932 bases respectively. transfection transfection was carried out using a calcium phosphate protocol. in this method, a "ne calcium phosphate precipitate introduces genetic material into cells. at the appro� figure 1 9lz\s[z�myvt�x7*9�mvy�j�mvz��tpn���huk�a-7����pu�/l3h�jlssz� � figure 2 .yhwo�pss\z[yh[pun�[ol�puk\j[pvu�vm�lhjo�ylwvy[ly�nlul�i`�zly\t��;ol�yh^�kh[h�jvuzpz[lk�vm�k\wspjh[l�whpyz�vm������huk�����zly\t�jvukp[pvuz��np]lu�hz�yh[pvz�vm�3(9�[v�:.�s\tpulzjlujl��;ol�]hs\lz�^lyl�jhsj\sh[lk�i`�uvythspapun�lhjo�kh[h�zl[�[v�vul�vm�[ol������yh[pvz��[olu� h]lyhnpun�[vnl[oly�[ol�k\wspjh[lz�huk��pm�h]hpshisl��v[oly�kh[h�zl[z�myvt�kpmmlylu[�kh[lz��5v�zpnupäjhu[�zly\t�puk\j[pvu�pz�zllu��l_jlw[�pu�[ol� a-7������jvukp[pvu��^opjo�\zlk�93�;2�pu�wshjl�vm�93�:=���hz�[ol�ylupssh�wshztpk� columbia undergraduate science journal open-access publication | http://cusj.columbia.com 24 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu m o le c u la r b io lo g y cusjcolumbia undergraduate science journalresearch articles 25cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu m o lec u la r b io lo g y activating reagent (lar) and stop & glow reagent (sg). lar is the substrate of the !re"y luciferase enzyme, and sg is the substrate of renilla luciferase. each well was measured in two steps. first, 5 µl of cell lysate is added to 25 µl of lar, and the luminescence was measured. second, 25 µl of sg was added to the mixture and the luminescence is measured again. when analyzing the data, each measurement was normalized by computing the ratio of lar to sg luminescence. zfp36 mrna was signi!cantly induced by serum quantitative pcr was run on cdna prepared from hela cells that were stimulated with serum for durations between 0 and 120 minutes (figure 1). zfp36 showed an induction pattern similar to c-fos, with strongest induction between 30 minutes and 1 hour. mig6, a gene that is not induced by serum, was used as a negative control. none of the reporter genes tested was signi!cantly induced by serum figure 2 shows a summary of the results of the luciferase assays performed on transfected hela cells. none of the reporter genes showed an appreciable increase in expression upon induction with 20% serum. minimal serum induction was observed when a di#erent renilla plasmid was used (see discussion). $e data do not support the hypothesis that conserved regions between -2150 and -901 confer serum induction of zfp36. $is result was reproducible through several rounds of transfections. $is suggests that the observed serum induction of zfp36 is mediated entirely by elements that are downstream of the start of transcription. one issue that arose in the luciferase data was the inconsistency of renilla measurements. $e sg values tended to vary, and previous experiments using a similar protocol indicated that renilla itself may be induced by serum. to test if serum induction of the renilla gene was a#ecting the results, an alternate renilla gene with a tyrosine kinase promoter (rl-tk) was substituted for rl-sv40 in one trial. $e calculated data do indeed show that pzfp-3.7fgl3 was induced slightly less than threefold in this trial, but both the lar and sg measurements from this trial were so di#erent from those in other trials that no conclusions could be drawn from this result. $e great variation in lar measurements indicates a non-trivial relationship between two transfected genes: that is, the presence of one gene in the transfection mixture can a#ect the e%ciency of the transfection of other genes. another possible confounder could have been the plasmid preparations themselves, as calcium phosphate transfection is ph-sensitive. using a di#erent transfection method could more conclusively resolve this issue. nevertheless, the signi!cant serum induction observed in the qpcr results does not appear to be mediated by any of the upstream regions that were examined. in conclusion, neither region tested was induced by serum when expressed on a reporter gene in hela cells. future studies may further investigate the downstream regulatory elements characterized by lai et al., or attempt to !nd other cellular stimuli that regulate zfp36. amit, ido, ami citri, tal shay et al. “a module of negative feedback regulators de!nes growth factor signaling.” nature genetics. 2007, 39(4): 503-512. babic, alexander m, maria l kireeva, tatiana v kolesnikova & lester f lau. “cyr61, a product of a growth factor-inducible immediate early gene, promotes angiogenesis and tumor growth.” proceedings of the national academy of sciences united states of america. 1998, 95(11): 6355-6360. blackshear, perry j. “tristetraprolin and other ccch tandem zinc-!nger proteins in the regulation of mrna turnover.” biochemical society. 2002, 30(6): 945-952. cen, bo, ahayla selvaraj & ron prywes. “myocardin/ mkl family of srf coactivators: key regulators of immediate early and muscle speci!c gene expression.” journal of cellular biochemistry. 2004, 93:74-82. johansen finn-eirik & ron prywes. “serum response factor: transcriptional regulation of genes induced by growth factors and di#erentiation.” biochimica et biophysica acta. 1995, 1242:1-10. lai, wi s, michael j $ompson & perry j blackshear. “characteristics of the intron involvement in the mitogeninduced expression of zfp-36.” $e journal of biological chemistry. 1998, 273: 506-517. lai, wi s, michael j $ompson, gregory a taylor, yi lui & perry j blackshear. “promoter analysis of zfp-36, the mitogen-inducible gene encoding the zinc finger protein tristetraprolin.” $e journal of biological chemistry. 1995, 270: 25266-25272. tchen carmen r, matthew brook, jeremy saklatvala & andrew r clark. “$e stability of tristetraprolin mrna is regulated by mitogen-activated protein kinase p38 and by tristetraprolin itself.” $e journal of biological chemistry. 2004, 279: 32393-32400. discussion and conclusion results � figure 3 upstream zfp36 promoter region, showing mammalian conservation regions. from uscs genome biogenetics, http://genome.ucsc.edu/ references microsoft word cusj 29.docx ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 29 abstract — this paper presents an agent-based model of a stock market in which investors trade based on heterogeneous and changing beliefs. the model extends that from (goodman, 2016), in which each agent trades based on the theory of dynamic investment in (merton, 1969), with his own belief on the return of the stock. the baseline model implies that optimistic investors buy stocks from pessimistic investors. then, the model is extended such that the beliefs of agents are time-varying: each agent adjusts his belief differently with the arrival of new information. the key findings from the simulation of the extended model are that (1) trade volume increases with higher heterogeneity of agents' response to news arrivals and (2) return volatility decreases with more positive or more negative average level of response to news arrivals. i. introduction stock prices are determined by trading, which arises from differences in opinions among investors. if all investors had the same expectations on stock returns, no trades would occur, because everyone would seek to trade in the same direction. thus, it makes sense to study the stock price as a representation of heterogeneous beliefs on stock returns materialized through trading. figure 1. time series of analyst forecasts of amazon's eps from i.b.e.s. it is also reasonable to think that these beliefs on stock returns change over time, with the influx of new information. more specifically, figure 1 illustrates the analysts’ amazon's earnings per share (eps) forecast from 2010. figure 1 reveals that the opinions are time-varying and heterogeneous across analysts. this may suggest that investors make different conclusions from the same set of information. this motivates modeling the heterogeneity of beliefs as an accumulation of the idiosyncratic response to the identical set of randomly arriving news information. there is a large body of literature regarding empirical evidence on the effect of heterogeneous beliefs on asset price dynamics, many of which including (diether, malloy, & scherbina, 2002) (chen, hong, & stein, 2002) (park, 2005) (berkman, dimitrov, jain, koch, & tice, 2009) (qu, starks, & yan, 2003), document a negative relationship between belief dispersion and the mean returns of stocks. (goetzmann & massa, 2005) and (yu, 2011) find that dispersion in beliefs is negatively correlated with future returns. on the other hand, (avramov, chordia, jostova, & philipov, 2009) show that such negative relation is limited to worst-rated firms, while (doukas, kim, & pantzalis, 2006) find that the relationship is positive. there are also papers that study the effect of belief dispersion on return volatility and trading volume. for instance, (banerjee, 2011) finds evidence that stock volatilities increase in belief dispersion and (goetzmann & massa, 2005) finds positive relationship between trading volume and belief dispersion. to study how interactions among investors with heterogeneous and changing beliefs affect stock prices, i apply an agent based model (abm) approach. the abm approach offers several advantages that representative agent models do not. firstly, an abm allows its agents to have heterogeneous beliefs, not just heterogeneous utilities. while representative agent models allow for heterogeneous utilities of agents, which means that agents can have different preferences and thus different objectives, all of its agents must agree on the return of the assets. the representative agent theorem requires the assumption that all agents should have homogeneous beliefs. however, abm operates without that assumption, a property which i find useful for studying markets in which the beliefs on asset returns are heterogeneous across investors. secondly, agents in an abm follow a simple behavioral rule, instead of optimizing with the full knowledge of the state of the world. thirdly, the key dynamics in an abm are generated endogenously from the interaction among the agents. in relation to abm and economics, (westerhoff & franke, 2012) illustrates the usefulness of abm in designing economic policies with their example of technical traders, fundamental traders, and a central authority model to study the impact of simple intervention strategies on asset price dynamics. (lengnick, 2011) constructs an abm for business cycles in an economy and illustrates that an abm can reproduce many stylized facts without the strict assumption of rationality. (lengnick, 2011) also finds that the aggregate behavior generated by this abm is not equal to the results of a microeconomic optimization by the representative agent. a more empirical application was conducted by (baptista, hinterschweiger, farmer, low, & uluc, 2016), who developed an abm for the uk housing market to examine the effect of macroprudential policies on key agent based trading model of heterogeneous and changing beliefs jaehoon jung* nyu courant institute of mathematical sciences, 251 mercer st #801, new york, ny 10012 cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 30 housing market indicators. their results imply that a larger buy-to-let sector might amplify house price cycles and lead to higher price volatility. these papers show that the abm can be economically useful in reproducing stylized facts without strong assumptions on agents or equilibriums; the abm also generates non-standard aggregate behavior that is markedly different from that of a representative agent. in this paper, i extend the baseline model from (goodman, 2016) to construct a model in which agents trade based on heterogeneous and changing beliefs. in the baseline model from (goodman, 2016), each agent trades based on his beliefs and the theory of dynamic investment in (merton, 1969), in which an agent maximizes his power utility by holding a fixed proportion of his wealth in risky assets. this baseline model implies that optimistic investors buy stocks from pessimistic investors. i then extend the model by having the agents adjust their beliefs in a manner that differs from randomly arriving news information. by simulating the extended model, i find that the trade volume increases with the higher heterogeneity of the agents' response to the news arrivals. i also find that the return volatility decreases with a more positive or negative average response level to news arrivals. ii. model the baseline model from (goodman, 2016) uses the result from (merton, 1969) to define the trading behaviors of the agents. an agent maximizes power utility v(t) by allocating his wealth w(t) between a riskless asset and a risky asset, the value of which evolves with mean ! and volatility σ. !"#$%[' ( ) ] subject to dw = rw t dt + µ − r x t dt + σx t d56 the solution to this problem is to keep a fixed proportion of his wealth in risky assets. this proportion # is a function of the risky asset's excess return µ − r, return volatility σ, and the agent's risk aversion parameter γ. 8 9 = :((9), where : = =-? (@ab)cd this proportion # determines the agents' trading behavior: each agent will buy or sell stocks to maintain that proportion of wealth in stocks. for instance, if the price of the risky asset goes up while # does not change, the agent will sell the risky asset to maintain the proportion of his wealth in the risky asset. in the baseline model, each agent trades based on the merton proportion and there are n such agents in the market. an important assumption of this model is that each agent has his own belief: agent k has beliefs ef and gf and risk aversion parameter hf. it is further assumed that the total number of stocks in the market does not change and that there is only one risky asset (stock) and one riskless asset (cash). from the assumptions of the model, the following identities hold: first, the wealth of each agent is the sum of her cash and stock value: (f 9 = if 9 + jf 9 k(9) then, the wealth of the economy can be expressed as: (f 9 l fm@ = (if 9 + jf 9 k 9 ) l fm@ second, in equilibrium, each agent has the optimal ratio of risky assets. (f 9 :f 9 = 8f 9 = jf 9 k(9) the wealth of the economy at equilibrium can thus be expressed as: (f 9 l fm@ = 1 :f 9 jf 9 k(9) l fm@ third, total number of stocks remains invariant: jf(9@) l fm@ = jf(9o) l fm@ let n denote the total number of stocks in the market. j = jf(9) l fm@ fourth, total cash in the economy remains invariant: if(9@) l fm@ = if(9o) l fm@ fifth, from 3 and 4, i find that the wealth of the economy is increased only by the rise in stock price: (f(9o) l fm@ (f 9@ l fm@ = j(k 9o -k 9@ ) consider a simple case in which only one of the agents, agent 1, increases his e@ and thus his :@. when only agent one increased its e@ and thus �@, he would not be able to transact at current price if all the other agents are content with their portfolios. therefore, agent 1 should keep bidding higher prices to buy stocks until he achieves his new proportion :@ of his wealth in stocks. when agent 1 pushes the price up from s to k + pk, wealth of agent k, (f, will increase by d(f = jfpk. as :f has not changed for q > 1, the change in the optimal stock value for agent k would be p8f = :fjfps. if agent k buys ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 31 !"# number of stocks to rebalance to the new optimal allocation, the value of his stock holdings would change from "#$ to ("# + !"#)($ + !$). therefore, the following equation holds for each agent other than agent 1: !(# = *#!+# = *#"#!$ = "# + !"# $ + !$ − "#$ = "#!$ + $!"# rearranging the equation above, the number of stocks that agent k should buy is: !"# = − "# 1 − *# $!$ this suggests that in response to agent 1's optimism, all the other agent will sell stocks (assuming that *# ≤ 1)to maintain their merton proportion of their wealth in stocks. by separating the variables, i get: !"# "# = −(1 − *#) !$ $ by solving this equation and plugging in the initial condition, i derive the number of stocks that agent k will hold in equilibrium: "# 0 = "#(1 2 1 3 ) 4567(3) for 8 ≠ 1 as total number of stocks remains invariant, the number of stocks owned by the agent 1 who changed his views can be expressed as: "4 0 = ""#(0)( $ 0 $ 0 ) 4567(3) < #=> from the identities and the stock holdings derived above, i now derive the new equilibrium price given that only agent 1 revised its µ4 and thus *4. at the new equilibrium, both identities 1 and 2 should hold: +#(0) < #=4 = (@# 0 + "# 0 $(0) < #=4 = 1 *# 0 "# 0 $(0) < #=4 as total cash in the economy is invariant, (@# 0 + "# 0 $ 0 ) < #=4 = @# 0 < #=4 + "#(0)$(0) < #=4 = 1 *# 0 "# 0 $(0) < #=4 as total number of stocks is invariant, @#(0) < #=4 + "$ 0 = 1 *# 0 "# 0 $(0) < #=4 now, i separate agent 1 from others: @# 0 < #=4 + "$ 0 = 1 *4 0 "4 0 $ 0 + 1 *# 0 "# 0 $(0) < #=> plugging in the stock holdings of agents in new equilibrium, @# 0 < #=4 + "$ 0 = 1 *4 0 ""# 0 $ 0 $ 0 4567 3< #=> $ 0 + 1 *# 0 < #=> "# 0 $ 0 $ 0 4567 3 $(0) by dividing up the sum, i get: @# 0 < #=4 + "$ 0 = 1 *4 0 "$ 0 − 1 *4 0 "# 0 �0 $ 0 4567 3< #=> $ 0 + 1 *# 0 < #=> "# 0 $ 0 $ 0 4567 3 $(0) by rearranging the terms, i get the following equation for s(t): 1 − 1 *4 0 "$ 0 + 1 *# 0 1 *4 0 < #=> "# 0 $ 0 4567 3 $(0)67 3 − @# 0 < #=4 = 0 i confirm that the equation above is consistent with the simulation. iii. model extension now, consider a more realistic case in which agents adjust their beliefs based on the arrival of news information. i assume that news information arrives through poisson process and the time between each of them is exponentially distributed. each agent's reaction to news information can be decomposed into two parts: the common response a3 and agent-specific response b#,3. d# 0 + e0 -d# 0 = a3 + b#,3 cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 32 the common response can be considered as the original news information shared by all agents; i will denote it by !". i assume that !" is normally distributed with mean µ$ and variance %$&. in this setting, µ$ would be the average level of response of agents to the news information and %$& would be the variability among the news. !"~((µ$, %$&) then, for a given original new information, each agent reacts differently as would actual investors in the market. i assume that this idiosyncratic response, denoted as ,-,", is distributed normally with mean µ. and variance %.&. as i want this term to capture only the effect specific to a certain agent, i have the mean µ. equal to 0 and set %.& as the parameter that determines the level of heterogeneity among agents' reactions to news information. !"~((0, %.&) iv. results i simulated the extended model with news information. starting from an identical distribution of wealth, stock holdings, and beliefs for all agents, i had the news information arrive in exponentially distributed intervals. figure 2. sample stock price path generated from simulation. figure 2 shows one of the stock price paths generated by the simulation. the simulated stock price seems to become more volatile as heterogeneity across agent beliefs increases with the dispersion in reaction to news information accumulating over time. figure 3. trade volume increases in %.& (dispersion in agent response to new information). figure 3 shows that the trade volume increases with dispersion in reaction to news information, which is the variance in agent-specific response (%.&). this result is in line with my expectation, because this means that agents trade more when they respond to news information more differently. thus, in this model, heterogeneity in beliefs gives rise to trading in the market. figure 4. return volatility decreases in µ$ (average level of response to new information). figure 4 shows that return volatility decreases with more positive µ$, which means that the average level of response by agents to new information is more positive. i also find that return volatility decreases with more negative µ$, showing no asymmetry. this result is also within my expectation as my model implies that the stock price would be less volatile if all the investors are becoming more optimistic about the stock. ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 33 figure 5. trade volume decreases in news arrival frequency. figure 5 shows that trade volume decreases with more frequent news arrivals. this result is counterintuitive as i expect the heterogeneity in beliefs to accumulate faster with more frequent news arrivals. as of now, i do not have a clear explanation as to why agent trade less if news information arrives more frequently. v. future work as the second extension to the baseline model, i aim to add an extrapolative component to agent beliefs. !" # + %# = 1 − )" !" # + *+ + ,",+ + )"!+ where )" denotes the degree to which belief of agent k reflects extrapolated market return !+. this would make the model more realistic, because it would be more reasonable that investors also adjust their beliefs based on the realized return, not just on news information. it would also make the belief dynamics more endogenous, since each agent's beliefs will be influenced by the realized return, which is determined by other agents' beliefs. the addition will make this abm more valuable as the beliefs of agents will be affected by interaction (trading) with other agents with different beliefs, instead of relying solely on the arrival of news information, which is exogenous in this model. vi. conclusion in this paper, i construct a model in which the stock price is determined by investors who trade based on their heterogeneous and changing beliefs. by simulating this model, i find that trade volume is positively correlated with dispersion in investors' response to news arrivals, suggesting that investors trade more when they have more different opinions. this result is consistent with the empirical evidence documented in (goetzmann & massa, 2005). however, i do not find a clear positive relationship between dispersion in reaction to news and return volatility, which was found in (banerjee, 2011). moreover, i also find that the return volatility is negatively correlated with more positive (or more negative) average level of response by investors to news arrivals, which means that the stock price is less volatile if all investors are becoming more optimistic (pessimistic). finally, i find that trade volume is negatively correlated to news arrival frequency, contrary to my expectation that more frequent news arrival would accelerate the divergence in agent beliefs and thus increase trade volume. the results from simulations of this model suggests that the model is capable of replicating a number of intuitive results, such investors trading more when they disagree and returns being less volatile when investors are generally more optimistic or more pessimistic, with only simple, reasonable assumptions. i believe that this model can be used as a framework for studying the effect of heterogeneous beliefs on market dynamics under more specific or complex conditions. for example, i could extend the model such that investors adjust their beliefs according to the actual trading price. then, i would be able to identify the effect of the extrapolative component by comparing the result with that from simulations without the component. in summary, this paper contributes to the literature of heterogeneous beliefs by showing that abm could be an alternative theoretical approach and providing a simple framework. author information corresponding author *email: jj1419@stern.nyu.edu funding sources received funding from the summer undergraduate research experience program by the math department at courant institute of mathematical sciences. acknowledgments i am grateful to my advisor jonathan goodman for his guidance and mentorship. all errors are my own. references [1] j. goodman, "stock prices in metronia," unpublished paper, 2016. 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[8] w. n. goetzmann and m. massa, "dispersion of opinion and stock returns," journal of financial markets, 2005. [9] j. yu, "disagreement and return predictability of stock portfolio," journal of financial economics, 2011. [10] d. avramov, t. chordia, g. jostova and a. philipov, "dispersion in analysts' earnings forecasts and credit rating," journal of financial economics, 2009. [11] j. a. doukas, c. kim and c. pantzalis, "divergence of opinion and equity return," journal of financial and quantitative analysis, 2006. [12] s. banerjee, "learning from prices and the dispersion in beliefs," review of financial studies, 2011. [13] f. westerhoff and r. franke, "agent-based models for economic policy design: two illustrative examples," working paper, 2012. [14] m. lengnick, "agent-based macroeconomics a baseline model -," working paper, 2011. 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foat, b.c., bounoutas, a., bussemaker, h.j., kim, s.k., chal!e, m., 2002. identi!cation of genes expressed in c. elegans touch receptor neurons. nature 418, 331–335. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 15 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 /2 * < references breast cancer affects one in eight women per year, and 70% of patients with stage iv breast cancer develop metastases in bone, fdxvlqj�olih�wkuhdwhqlqj�vlgh�hiihfwv��:h�h[dplqh�wkh�xvh�ri�dq�h[sodqw�v\vwhp�wr�plplf�euhdvw�fdqfhu�phwdvwdvlv�wr�erqh�zlwkrxw� confounding cell types and to determine the role that osteocytes, the bone mechanosensing cells, may have in the development of metastasis. using the explant system, a custom cell seeder and sterile cell culture techniques, we introduced metastatic mda-mb-231/ *)3�fhoov�wr�d�wkuhh�glphqvlrqdo�erqh�pdwul[�zlwk�rvwhrf\whv�rqo\��&rqirfdo�lpdjlqj�frq¿upv�wkdw�euhdvw�fdqfhu�fhoov�zhuh��lq�idfw�� successfully seeded onto bone cores, mimicking metastasis. though additional experiments will be necessary to determine the importance of breast cancer-osteocyte interactions, this study shows that the explant system is a viable methodology for studying breast cancer in bone. cancer is a devastating disease that is responsible for thirteen percent of deaths worldwide and has a$ected countless families and individuals throughout the world (cancer, world health organization). it a$ects 1 in 8 women every year (u.s. breast cancer statistics). breast cancer originates from the inner lining of the lobules that supply the milk ducts in the breast (wolf et al., 2003). stage iv breast cancer is metastatic, meaning that it is violent and transcends the host organ (the breast) and spreads to a secondary site. #e cancer that metastasizes is still considered breast cancer. it has been reported that up to 70% of stage iv breast cancer patients will experience some form of metastasis of breast cancer to bone (roth et al., 2009). patients often experience pathological fractures, intense pain, hypercalcemia, and various nervous compression complications (zhang et al., 2010). #ese devastating e$ects are caused by an imbalance of bone remodeling, which involved the interactions of the three main bone cell types. bone is comprised of three types of cells: osteocytes (ocy), osteoblasts (ob) and osteoclasts (ocl). osteocytes are the primary mechanosensing cells in bones (burger et al., 1995). #ey regulate the activity of osteoblasts and osteoclasts. osteocytes are “trapped” in the mineralized bone matrix, and are thus they are thought to have only signaling functions, both intercellular and intracellular. after osteocytes sense a mechanical load, that load is transduced into a chemical signal is sensed by the cells. #is stress is translated into a biochemical signal that is communicated to the osteoblasts and osteoclasts, the bone forming and bone resorbing cells (burger et al., 1995). osteoblasts synthesize the bone matrix, which is subsequently deposited and calci!ed to become bone mineral. when osteoblasts secrete too much matrix, they become stuck in the bone, and as a result they completely di$erentiate into osteocytes (saladin, 2007; buckwalter et al. 1995). osteoclasts, on the other hand, resorb bone. to accomplish this, they use their “ruf"ed” membrane (as shown in figure 1) to create a seal around bone and then pump enzymes and hydrochloric acid to degrade the matrix (saladin, 2007; buckwalter et al. 1995). #ere are two types of metastasis: osteolytic and osteoblastic. osteolytic metastases break down bone and are the most common type of metastasis for breast cancer. osteoblastic lesions, characterized by excess bone formation, a$ect 15-20% of patients. mixed types also exist, wherein the patient experiences unnecessary bone excess as well as dearth (zhang et al., 2010). #e large majority of stage iv breast cancer cases end in metastasis to bone because bone has high levels of growth factors that breast cancer uses to survive. we can see that bone is a likely candidate for breast cancer metastasis due to the presence of “transforming growth factor b (tgfb), insulin-like growth factors i and ii (igf), !broblast growth factors (fgfs), platelet-derived !e veri"cation of a novel explant system used to determine the role of osteocytes in the breast cancer vicious cycle sonia bansal*, genevieve n. brown, x. edward guo %rqh�%lrhqjlqhhulqj�/derudwru\��'hsduwphqw�ri�%lrphglfdo�(qjlqhhulqj��&roxpeld�8qlyhuvlw\��1hz�0loohu������@� figure 4&ohdqhg�erqh�fruh��phdvxulqj���pp�lq�khljkw�dqg�gldphwhu� [adapted from chan, me, lu, xl, huo, b, baik, ad, chiang, v, hw�do����������$�7udehfxodu�%rqh�([sodqw�0rgho�ri�2vwhrf\wh� 2vwhreodvw�&r�&xowxuh�iru�%rqh�@ % ,2 ( 1 * ,1 ( ( 5 ,1 * fetal bovine serum (fbs), and 1% penicillin-streptomycin (pen-strep). creation of experimental groups !e cores were randomly assigned to four experimental groups, “osteocytes and breast cancer” (ob), “osteocytes” (o), “dead osteocytes and breast cancer” (db) and “dead osteocytes” (d) (see figure 5). half the cores were put through a repeated freeze-thaw technique in order to kill the osteocytes still in the cores. !is was done to see if mineralized bone, but not necessarily active osteocytes, a"ects breast cancer cell activity. half of the dead osteocyte and live osteocyte groups were seeded with mda-mb-231/gfp stage iv breast cancer cells via a custom cell seeder created in the lab on day 0. !e bone cores were stuck onto needles and submerged in a solution containing 5x104 cells for each core. !e loader was placed on a stir plate with a magnetic stir #y for an hour to facilitate uniform adheration of the cancer cells. figure 6 shows a schematic of the cell seeder. !is process simulated breast cancer in bone. confocal microscopy !e cores were initially stained with cell tracker red and incubated for 45 minutes in order to stain the viable cells in the bone cores before being seeded. !e cores were imaged using a leica confocal microscope on day 0 after initial seeding, and on day 4 using confocal microscopy. !e confocal imaging on day 0 indicates that the cancerous cells do exist on the bone matrix. figures 7.1 and 7.2 depict cores that were seeded with breast cancer cells, and the green #uorescence indicates that the cells are on the core. in contrast, figures 7.3 and 7.4 only show the osteocytes in the lacunae of the bone core. !e subsequent set of images on day 4 shows a much higher number of cells on the bone core, as indicated by figures 8.1 and 8.2. figures 8.3 and 8.4 again indicate that there are no breast cancer cells in these two experimental groups. !e confocal imaging on day 0 indicates that the cancerous cells do exist on the bone matrix. figures 7.1 and 7.2 depict cores that were seeded with breast cancer cells, and the green #uorescence indicates that the cells are on the core. in contrast, figures 7.3 and 7.4 only show the osteocytes in the lacunae of the bone core. !e subsequent set of images on day 4 shows a much higher number of cells on the bone core, as indicated by figures 8.1 and 8.2. figures 8.3 and 8.4 again indicate that there are no breast cancer cells in these two experimental groups. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 19 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 ( 1 * ,1 ( ( 5 ,1 * confocal imaging of the bone cores confocal imaging of the bone cores on days 0 and 4 indicate a simulated metastatic process. !e $rst step to metastasis is the adheration of foreign, cancerous, metastatic cells into a new environment. !e images, taken on day 0, indicate that the cells were added in an e"ective amount that attaches to the bone core appropriately. figures 7.1 and 7.2 show this adherence and verify that we were able to force adheration of cancerous cells onto the matrix. additionally, the negative controls are veri$ed in figures 7.3 and 7.4, which do not have green #uorescence. after this, day 4 imaging indicates that the breast cancer cells were sustained on the bone cores as they maintained viability and also expanded in quantity on the bone cores. figures 8.1 and 8.2 show the proliferation of the cells, as there are many more cells that e"ectively take over the lacunae. when looked at in conjunction with figures 7.1 and 7.2, it is clear that the cancerous cells are thriving on day 4. !ese images suggest the proliferation of the cancerous cells, indicating that metastasis was e"ectively mimicked in this system. cusjcolumbia undergraduate science journal research articles 20cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 ( 1 * ,1 ( ( 5 ,1 * figure 5 visual representation of the experimental design groups. first, we have cores with live osteocytes and no breast cancer cells, as a control. the variable condition is the core with live osteocytes with breast cancer cells. we also included two more groups, both with dead osteocytes. this was because we wanted to see if the mineralized bone, not necessarily the active osteocytes, affected the way breast cancer cells acted. figure 6 schematic of the cell seeding technique. bone cores were stuck on the needles and suspended in the media. adheration was facilitated by the stir bar.[adapted from chan, me, lu, xl, +xr��%��%dln��$'��&kldqj��9��hw�do����������$�7udehfxodu�%rqh� ([sodqw�0rgho�ri�2vwhrf\wh�2vwhreodvw�&r�&xowxuh�iru�%rqh�@ figure 7'd\���frqirfdo�lpdjlqj�ri�erqh�fruhv��,pdjhv�wdnhq�rq�/hlfd�&rqirfdo�plfurvfrsh��5hg�àxruhvfhqfh�lv�&hoo� 7udfnhu�5hg�dqg�vkrzv�rvwhrf\whv��ghdg�dqg�dolyh���zkloh�juhhq�àxruhvfhqfh�lqglfdwhv�*)3�wdjjhg�0'$� 0%������7khvh�lpdjhv�zhuh�wdnhq�wr�hqvxuh�wkdw�wkh�&hoo�7udfnhu�5hg�vwdlq�glg�vwdlq�rvwhrf\whv��zklfk�lv�fohdu� through the masses of red signals near the lacunae, and to ensure that the breast cancer cells were properly vhhghg�rqwr�wkh�erqh�fruhv��6fdoh�edu� �����p� results discussion modi!cations to be made as the results indicate that the methodology is sound, we must look to future studies and the next step in the larger scale study. !e harvest technique, while sterile (given that there were no infections), was time consuming and would bene"t by becoming more e#cient, so instead of 8 cores being harvested at a time, we could harvest 32 at a time. day 4 confocal imaging shows a decreased cell tracker red signal, and a longer culture would require a more stable imaging technique. a longer culture would provide for more complicated culture conditions involving all three bone cell types. using more bone cell types would require more than two di$erent %uorescent stains, relying on the use of the lab’s four-color microscopy technology. explant system as a viable in vitro model for study !e qualitative (confocal images) data suggests that the explant system is a good method to simulate metastasis of breast cancer, proving that it can be used to further study columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 21 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 ( 1 * ,1 ( ( 5 ,1 * figure 8'd\���frqirfdo�lpdjlqj�ri�erqh�fruhv��,pdjhv�wdnhq�rq�/hlfd�&rqirfdo�plfurvfrsh��5hg�àxruhvfhqfh�lv�&hoo�7udfnhu�5hg� dqg�vkrzv�rvwhrf\whv��ghdg�dqg�dolyh���zkloh�juhhq�àxruhvfhqfh�lqglfdwhv�*)3�wdjjhg�0'$�0%������7kh�&hoo�7udfnhu� red stain begins to fade at this point. these images were taken to ensure that the breast cancer cells were properly prolifhudwlqj�dfurvv�wkh�erqh�fruh��zklfk�lv�fohdu�jlyhq�wkh�qxpehu�ri�fhoov�suhvhqw�rq�wkh�fruhv��6fdoh�edu� �����p� this topic. !e study presents a starting point for future experiments, as it demonstrates our methodology is viable and e#cient. future studies would rely on the use of µct tomography to determine the bone volume/total volume, also known as the bone volume fraction (bvf). bvf is a good measure of the amount of bone mineral present in a sample as it determines the space of bone mineral versus total space of the core. di$erences in bvf between seeded and nonseeded cores would indicate cancer-induced lesions. !e incidence of these lesions would determine the extent of a variable cell’s role on the vicious cycle. in the future, the study would start to include other cell types, creating di$erent experimental groups such as a core with osteoclasts, osteoblasts and breast cancer cells, but no osteocytes. !is condition would simulate a bone without osteocytes, and the resulting bvf, as compared to a bone core with all three cell types and breast cancer, would indicate how osteocytes a$ect bone cell activity in the presence of breast cancer cells. !e future implications of this experiment are promising, as it is the "rst step in determining the individual role of each cell type; determining "nally how responsible osteocytes are for metastatic breast cancer spreading to bones. sb thanks xeg for allowing her to work in bone bioengineering lab and gnb for guidance and teaching her the cell techniques. sb was funded by the columbia department of biological sciences from the summer undergraduate research fellowship. bonewald, lf (2011). !e amazing osteocyte. journal of bone and mineral research 26 229-238. buckwalter ja, glimcher mj, cooper rr, et al. bone biology part i: structure, blood supply, cells, matrix, and mineralization. j bone joint surg am 1995; 77: 1256-75. burger, eh, klein-nulend, j, van der plas, a, and nijweide, pj (1995). function of osteocytes in bone--their role in mechanotransduction. j nutr 125 2020s-2023s. “cancer.” world health organization from http://www.who.int/mediacentre/factsheets/fs297/en/. chan, me, lu, xl, huo, b, baik, ad, chiang, v, et al. (2009). a trabecular bone explant model of osteocyte-osteoblast co-culture for bone mechanobiology. cell mol bioeng 2 405-415. guise ta. molecular mechanisms of osteolytic bone metastases. cancer 2000; 88 (s12): 2892-8. mundy gr. metastasis to bone: causes, consequences and !erapeutic opportunities. nature reviews cancer 2002; 2: 584-93. mundy, gr (1997). mechanisms of bone metastasis. cancer 15 15461556. saladin ks. anatomy and physiology: !e unity of form and function. new york: mcgraw-hill 2007. teti, a, and zallone, a (2009). do osteocytes contribute to bone mineral homeostasis? osteocytic osteolysis revisited. bone 44 11-16. wolf, k, mazo, i, leung, h, engelke, k, von andrian, uh, et al. (2003). compensation mechanism in tumor cell migration. !e journal of cell biology 160 267-277. “u.s. breast cancer statistics.” breastcancer.org from http://www.breastcancer.org/symptoms/understand_bc/statistics.jsp. zhang, y, ma, b, and fan, q (2010). mechanisms of breast cancer bone metastasis. cancer lett 292 1-7. cusjcolumbia undergraduate science journal research articles 22cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 ( 1 * ,1 ( ( 5 ,1 * acknowledgments references conclusions columbia undergraduate science journal open-access publication | http://cusj.columbia.com 42 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y cusjcolumbia undergraduate science journalresearch articles 43cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y overall survival rates. preventing glioma invasion has the potential to convert this highly malignant tumor into a focal disease, which could then be e!ectively treated with focal therapies, such as radiation and surgery (madsen, 2003; gillespie, 1999). invasion and migration of malignant gliomas tissue invasion by malignant gliomas is a multi-step process. central to this is the ability of transformed cells to crawl through the extracellular matrix. "e initial step requires receptor-mediated adhesion of tumor cells to matrix proteins, followed by a second phase of degradation of the matrix by tumor-secreted proteases. "e ability of invasive glioma cells to navigate these diverse anatomic structures and molecular substrates raises the question of whether speci#c mechanisms and phenotypes of invasive cells are involved in dispersion following speci#c pathways (gillespie, 1999). gliomas typically invade the brain by migrating long distances through white matter tracts and by in#ltrating cortex and subcortical gray matter structures. when migrating through brain white matter, gliomas move in a manner remarkably similar to that previously described for neural progenitor cells. given the submicrometer size of the extracellular spaces that are present in the tightly packed neuropil of the brain, most other motile cells would likely #nd it impossible to migrate because there would be no room to allow a lamellipodium to form. "e unique form of motility shared by gliomas and neural progenitors re$ects adaptations that these cells have to make to a uniquely challenging environment with small e!ective pore sizes (beadle, 2008). one of these adaptations is in how glioma cells use myosin ii, the major source of cytoplasmic contractile force (gillespie, 1999). myosin ii is absolutely required for migration in the brain, where its major role is to push the bulky nucleus and cell body through the small pores found within the brain matrix. "is feature distinguishes glial cells from other cancers because other cancers do not require myosin ii for the collapse of their nucleus. "e progenitor-like motility of glioma cells represents a method of migration that is speci#cally adapted for traversing the densely packed neuropil of the mature brain (beadle, 2008). poliovirus poliovirus, among other human pathogenic viruses, is being studied increasingly along with the development of novel therapeutic agents against malignant glioma. poliovirus, the causative agent of poliomyelitis, is classi#ed within the enterovirus genus of the family picornaviridae. poliovirus is composed of a rna genome and a protein capsid. "e genome is single-stranded positive-sense rna genome that is about 7500 nucleotides long, while the viral particle is about 30 nanometers in diameter with icosahedral symmetry. because of its short genome and its simple composition, poliovirus is widely regarded as the simplest signi#cant virus. first isolated in 1909 by karl landsteiner and erwin popper, poliovirus has become one of the most well-characterized viruses, and has become a useful model system for understanding the biology of rna viruses. "ere are three serotypes of poliovirus, pv1, pv2, and pv3, each with a slightly di!erent capsid protein. "e capsid proteins de#ne cellular receptor speci#city and virus antigenicity. pv1 is the most common form encountered in nature, however all three forms are extremely infectious. wild polioviruses can be found in approximately 10 countries. pv1 is highly localized to regions in india, pakistan, afghanistan, and egypt, but following outbreaks of poliomyelitis in 2003–2004 it remains widespread in west and central africa. wild poliovirus type 2 has probably been eradicated; it was last detected in october 1999 in uttar pradesh, india. wild pv3 is found in parts of only #ve countries (nigeria, niger, pakistan, india, and sudan) (merrill, 2004). poliovirus, like other picornaviruses, is characterized by a single positive strand genomic rna. infection occurs via the fecal-oral route; meaning that one ingests the virus, which then replicates within the alimentary tract. in 95% of cases only a primary, transient presence of the virus in the bloodstream occurs (called a viremia) and the poliovirus infection is asymptomatic. in about 5% of cases, the virus spreads, and replicates in other sites such as brown fat, the reticuloendothelial tissues, and muscle. "is sustained replication causes a secondary viremia, and leads to the development of minor symptoms such as fever, headache and sore throat. paralytic poliomyelitis occurs in less than 1% of poliovirus infections. paralytic disease occurs when the virus enters the central nervous system (cns) and replicates in motor neurons within the spinal cord, brain stem, or motor cortex, resulting in the selective destruction of motor neurons; leading to either temporary or permanent paralysis and, in rare cases, to respiratory arrest and death (pliaka, 2007). "ere are two key mechanism by which poliovirus evades the immune system. first, it is capable of surviving the highly acidic conditions of the gastrointestinal tract, allowing the virus to infect the host and spread throughout the body via the lymphatic system. second, because it can replicate very quickly, the virus overwhelms the host organs before an immune response can be mounted. in addition, there are more than two such mechanisms; additional ones include inhibition of rna and protein synthesis, and inhibition of protein secretion, both of which interfere with the ifn respsonse. fully assembled poliovirus leaves the con#nes poliovirus receptor cd155 over-expression e!ect on migration in c6 glioma cells zahra bhaiwala1,*, christine marshall2 1columbia college, columbia university, new york, ny 10027, 2phillips academy, andover, ma, 01810 abstract cell migration plays a key role in brain cancer invasion, an early step in metastasis, and proteins that regulate migration are often up-regulated in tumor cells. the poliovirus receptor cd155 has recently been shown to affect migration levels of select malignant glioma strains, fueling the exploration of treating brain cancer with oncolytic virus recombinants. in the beginning phase of experimentation, we analyzed the migratory behavior of control c6 gliomas through two rounds of [yhuzäs[ly�hzzh`z��0u�vykly�[v�l_wsvyl�[ol�m\uj[pvu�vm�*+����pu�nspvth�tpnyh[pvu��^l�[olu�jvuk\j[lk�[^v�v]ly�l_wylzzpvu� experiments with the use of a full-length cdna expression vector and compared the resulting migration rates to control kh[h��>l�mv\uk�[oh[�hu�h]lyhnl�vm��������jvu[yvs�jlssz�jyvzz�v\y�[yhuzäs[lyz�hm[ly�����ov\yz��huk�hu�h]lyhnl�vm�������jlssz� [yhuzmlj[lk�^p[o�[ol�7=9�l_wylzzpvu�]lj[vy��6\y�ylz\s[z�ylålj[lk�h�������pujylhzl�pu�jlss�tpnyh[pvu�k\l�[v�hu�pujylhzlk� wylzlujl�vm�[ol�wyv[lpu�*+�����0u�vykly�[v�jvuäyt�[oh[�*+����^hz�l_wylzzlk�pu�[ol�yh[�*�z��^l�z\izlx\lu[s`�jvuk\j[lk� two western blots: one comparing control c6s and transfected c6s, and the other running control c6s next to a human u87 glioma control cell line. the blots establish that cd155 is indeed present in both of these human and rat strains of glioma, and that our over-expression was successful. key words: glioblastoma multiforme; tumor migration; poliovirus receptor cd155; protein over-expression. introduction after the human brain completes its development soon after birth, the vast majority of its cells enter the g0 phase, in which they never divide again. one exception to this rule is when a brain tumor develops as a result of abnormal, unregulated growth of cells. "e atypical brain cells re-enter the cell cycle because of alterations in any of a large number of genes that control cell division and growth. astrocytomas and oligodendrogliomas are types of gliomas that are the most common primary tumors of the adult brain. primary brain tumors arise from cells of the brain itself rather than traveling, or metastasizing, to the brain from another location in the body like other known forms of cancer. tumors are generally classi#ed in four grades, with grade 1 being the most benign and grade 4 being the most malignant. signs that the tumor is growing rapidly include cells undergoing division (mitosis), the presence of newly-formed blood vessels (angiogenesis), and evidence that the tumor is outgrowing its blood supply (necrosis). typically, malignant gliomas show an area of central necrosis surrounded by a highly cellular rim of viable tumor. malignant gliomas have remained resistant to therapy and are capable of spreading long distances within the brain (madsen, 2006). in glioblastoma multiforme (gbm), the most aggressive form of brain cancer, tumor cells disperse so extensively that common treatment approaches such as surgical resection or radiation therapy are not e!ective in checking progression. unfortunately, signi#cant in#ltration of normal brain matter is not limited to the most malignant of tumors. "e invasive behavior expressed by all levels of malignant gliomas has limited the e!ectiveness of local therapies and contributes to the high mortality rate seen in these tumors. "e position of the tumor is also crucial. brain stem gliomas are particularly di%cult to treat, regardless of their grade. "e brain stem is such a complicated and delicate part of the brain that completely removing the tumor is highly unlikely. unfortunately, high doses of radiation are not recommended for treatment, as this may cause too much damage to the normal brain stem (giese, 2003). having an agent that blocks migration is key to managing glioblastoma multiforme. interventions to control the spreading of glioblastoma multiforme have the potential to slow the clinical course of the disease and improve copyright: © 2011 the trustees of columbia university, columbia university libraries, some rights reserved, porter, et al. received jan. 2, 2011. accepted jan. 26, 2011. published april 1, 2011. *to whom correspondence should be addressed: columbia college, columbia university, new york, ny 10027. zsb2104@columbia.edu columbia undergraduate science journal open-access publication | http://cusj.columbia.com 44 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y cusjcolumbia undergraduate science journalresearch articles 45cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y materials and methods somal entry site (ires) within the 5’ untranslated region of the viral genome, which is active in cells of neuronal origin and allows translation of the viral genome without a 5’ cap. non-transductional targeting involves altering the genome of the virus so it can only replicate in cancer cells. !is can be done by either transcription targeting, where genes essential for viral replication are placed under the control of a tumor-speci"c promoter, or by attenuation, which involves introducing deletions into the viral genome that eliminate functions that are dispensable in cancer cells, but not in normal cells. gromeier et al. replaced the normal poliovirus ires with a rhinovirus ires, altering tissue speci"city (gromeier, 2000). !e resulting pv1(ripo) virus was able to selectively destroy malignant glioma cells, while leaving normal neuronal cells untouched. although the poliovirus itself has been demonstrated in previous studies to have an oncolytic e#ect in certain types of gliomas, it is still somewhat unclear what the actual role of the receptor cd155 might have, if any, in this relatively new discovery of cancer treatment through viral infection. in glioblastoma, the most aggressive form of brain cancer, tumor cells disperse so extensively that current treatment approaches such as surgical resection or radiation therapy have little e#ect in checking progression. !e survival of patients with malignant gliomas, and a median survival time of patients with malignant gliomas is still anticipated as a bleak 12 to 14 months. invasive cells remaining after the surgical resection signi"cantly contribute to the demise of the patient. any successful treatment will have to treat the invasive portion of the tumor and the core lesion. speci"cally targeting invasive glioma cells remains an interesting concept because invasiveness must be a common characteristic of most tumor cells remaining after surgical resection. because it has been increasingly shown that glioma invasion is regulated by distinct trigger mechanisms, downstream e#ector molecules of the invasion process represent the best treatment targets. it has been previously found that cd155/pvr was highly expressed in both u87 human glioma cells and primary glioblastoma tumor tissue, and that inactivation of cd155/pvr reduced cell migration in vitro (sloan, 2005). !ese "ndings suggest a novel role for cd155/pvr in regulating motility and has prompted me to explore this function further in the c6 rat glioma cells we have here in lab by conducting an over-expression experiment to mirror the relationship that has been found in the knockdown experiments. cell culture c6 rat glioma cell lines (canoll lab, columbia university) were cultured in dulbecco’s modi"cation of eagle’s medium (dmem) with 4.5 g/l glucose, l-glutamine, and sodium pyruvate supplemented with 10% fetal bovine serum and 1x penn strep (mediatech). cells were incubated at 37°c in a napco series 8000 wj co2 incubator under a humidi"ed 5% co2 atmosphere. cells were passaged every seven days onto fresh poly-l-lysinecoated t75 $asks, and medium was changed every three days. transfection of cdna expression vector we obtained glycerol stocks of e. coli transformed with a 4.395 kb pcmv-sport6 expression vector (image id: 3902226, american type culture collection), which used a 50 µg/µl ampicillin marker and was stored inde"nitely at -80°c. dna was isolated according to standard plasmid preparation procedures and absorbance was measured at 260 nm via spectrophotometer (biomate). one day prior to transfection, the cells were trypsinized from the t75 $ask and added to 10 ml of growth medium. !e mixture was then spun in a tabletop centrifuge (2000rpm for 5 minutes) and resuspended in 5 ml of antibiotic-free growth medium. cells were triturated and then counted by inserting 10 µl into a hemocytometer and approximately 5x105 cells were plated into 60 mm tissue culture dishes containing 3 ml of growth medium. in two separate sterile eppendorf tubes, the appropriate amount of dna (based on absorbance value) and 20 µl of lipofectamine 2000 reagent were diluted in 50 µl of serum-free medium. both tubes were mixed gently and incubated for 5 minutes at room temperature. !e tubes were combined, incubated for another 20 minutes and the entire mixture was added to the transfection dishes. 6 hours after transfection, the media was changed to regular growth media (dmem + 10% fbs + p/s). cells were allowed to grow for 48 hours prior to trans"lter assays. transfilter migration assay in preparation for the migration assay, the c6 cells were trypsinized from the tissue culture dishes, added to 5 ml growth medium, and spun at 1600 rpm for 5 minutes. cells were resuspended in 1-2 ml of serum-free medium and kept on ice. 3µm pore fluoroblok trans"lters (bd biosciences) were coated with 10% type 1 rat tail collagen (bd biosciences) in sterile de-ionized water at 37°c for 1 hour. 500 µl of serum-containing growth medium was added to the bottom of each well beneath the "lter to stimulate migration in a single direction (top to bottom). cells were counted and the number was adjusted so that 5x105 cells were added to the top of each trans"lter in a 200 µl mixture. cells were left in the incubator to run on the "lters for 5.5 hours. post-migration, cells were "xed in 4% paraformaldeof its host cell 4 to 6 hours following initiation of infection in cultured mammalian cells. !e mechanism of viral release from the cell is unclear, but each dying cell can release up to 10,000 polio virions (merrill, 2004). cd155/pvr !e cellular life cycle of poliovirus is initiated by binding to the cell surface receptor cd155. !e virion is taken up via endocytosis, and the viral rna is released. translation of the viral rna occurs by an ires-mediated mechanism. !e polyprotein is then cleaved, yielding mature viral proteins. !e positive-sense rna serves as template for complementary negative-strand synthesis, producing double-stranded replicative form (rf) rna. many positive strand rna copies are produced from the single negative strand. !e newly synthesized positivesense rna molecules can serve as templates for translation of more viral proteins, or can be enclosed in a capsid to form progeny virions. lysis of the infected cell results in release of infectious progeny virions. !e presence of cd155 is thought to de"ne the animals that can be infected by poliovirus. cd155 has only been thought to be on the cells of humans, higher primates, and old world monkeys. poliovirus is however strictly a human pathogen, and does not naturally infect any other species. cd155 is a type i transmembrane glycoprotein in the immunoglobulin superfamily. commonly known as poliovirus receptor (pvr) due to its involvement in the cellular poliovirus infection in primates, cd155’s normal cellular function is in the establishment of intercellular adherens junctions between epithelial cells. like many other receptor molecules used by picornaviruses, cd155 is a long, highly glycosylated, single-span surface molecule. while its predominant function is related to cellular adhesion and activation, cd155 also activates natural killer cells and has been reported to play a role in cell motility and tumor cell invasion. it consists of 3 successive ig-like domains (d1, d2, and d3), a transmembrane domain and a cterminal cytoplasmic domain. !e human cd155 gene is expressed in 4 splice variants (ơ, ơ, ƣ, and dž) of which 2 variants (ơ and ƣ) are lacking the transmembrane domain and are released from the cell subsequent to their expression. !e cd155ơ and cd155dž isotypes di#er only in their cytoplasmic domains and can both function as pv receptors zhang, 2008). cd155 protein binds speci"cally to the extracellular matrix component vitronectin. con"rming the activity pattern of the cd155 promoter in the developing spinal cord, morphogenic factors active in the $oor plate and notochord—the transcription factors sonic hedgehog (shh) and its downstream gli e#ectors—strongly activate the cd155 promoter and induce cd155 expression. both shh and gli transcription factors have been implicated in the oncogenesis of neuroectodermal tumors. !us, the role of shh and gli transcription factors in cd155 gene regulation suggested that cd155 expression may occur ectopically in neuroectodermal malignancies. evidence for cd155 expression in neuroectodermal tumors stems mainly from studies of neuroectodermal tumor cell lines that are susceptible to oncolytic poliovirus-based agents (solecki, 2002). oncolytic applications viral oncolysis has been recently recognized as a new development in the treatment of malignant glioma. oncolytic viruses must speci"cally target tumor cells, a property related to the fact that tumor cells often have aberrant innate immune reponses. !e "rst reported incidences of viral oncolysis, over a century ago, were due to nonintended exposure to naturally occurring viruses or after administration of live attenuated vaccine strains. in the last twenty years, new prospects for genetically manipulating viruses have opened possibilities for increasing the tumor speci"city and lowering the toxicity of oncolytic viral agents. !ese e#orts have given rise to oncolytic adenoviruses, herpesviruses, reoviruses, vesicular stomatitis virus, and most recently, polioviruses. !e antineoplastic e#ects of oncolytic viruses are subject to multifaceted interactions with the host cell. !e primary prerequisite for viral oncolysis is expression of cellular receptors mediating viral entry in malignant cell types. in preparation for clinical applications using oncolytic viruses, analysis of viral receptor expression in the target tissue is highly desirable in order to select tumor types and patients most likely to respond favorably to therapeutic intervention. cell adhesion molecules of the immunoglobulin superfamily are aberrantly expressed in malignant glioma. amongst these, the human poliovirus receptor cd155 provides a molecular target for therapeutic intervention with oncolytic poliovirus recombinants. analysis of 6 cases has indicated that cd155 over-expression is commonly associated with high-grade malignant glioma (hgl). cd155 expression levels in tumor tissues corresponded to those in primary tissue cultures derived from the tumors. furthermore, cd155 expression in primary glioma explant cultures was equivalent to that found in established glioma cell lines used in preclinical evaluations of oncolytic poliovirus recombinants. poliovirus has been genetically modi"ed through insertion of regulatory sequences derived from human rhinovirus type 2 to selectively replicate within and destroy cancerous cells. successful oncolysis with the use of poliovirus infection depends directly on the presence of cd155 in targeted tumors (sloan, 2005). poliovirus has a plus-strand rna genome, the translation of which depends on a tissue-speci"c internal ribocolumbia undergraduate science journal open-access publication | http://cusj.columbia.com 46 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y cusjcolumbia undergraduate science journalresearch articles 47cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y hyde at 4°c for 20 minutes. after 3 washes with phosphate-bu!ered saline (pbs) at room temperature, the cells were stained with the nuclei stain hoechst (calbiochem/emd) at a 1000x dilution of 10µg/10µl for 30 minutes at 4°c. "e cells were washed again 3 times with pbs and then plated onto glass coverslips for analysis. data analysis "e number of nuclei on the bottom of each of both control #lters was counted in two low power #elds (25x) of a zeiss axioplan microscope and averaged. "e nuclei on the top of the #lters was also counted in two low power #elds and averaged in order to further assess the rate of migration in normal c6 cell lines. lysates lysis bu!er (ripa bu!er) was prepared (1 m ph 8 tris, 5 m nacl, 20% np40, 10% sds, distilled h20 up to 50 ml) and stored at 4°c. 5x running bu!er (7.5 g tris, 47 g glycine, 25 ml 10% sds, distilled h20 up to 500 ml), 5x transfer bu!er (9.5 g tris, 47 g glycine, distilled h20 up to 500 ml), and 10x tbs (6 g tris, 44 g nacl, dh20 up to 500 ml, ph 7.4) were prepared and kept at room temperature. 0.5 ml of edta was added to 4.5 ml of lysis buffer to make a 10x stock of protease inhibitor cocktail. "e cocktail was then diluted 1:10 in lysis bu!er (50µl to 450µl). cells were washed twice with pbs and 250µl of the lysis bu!er mixture was added directly to the tissue culture dish. cells were scraped and pipeted to an epindorph tube, vortexed for 10 seconds and returned to ice, and then vortexed for 30 seconds. cells were then spun for ten minutes at 1600 rpm and the supernatant was pulled o! into a new epindorph. "e lysates were snap-frozen with liquid nitrogen and stored at -80°c until quanitation. western blot analysis cd155 expression levels were determined by using a western blot procedure. 24 µl protein lysate was mixed with 8 µl 4x sample bu!er (20 ml 40% glycerol, 4 g sds, .01 g .02% bromophenol-blue, 5 ml beta-mercaptoethanol (bme), 45ml dh20) and boiled for ten minutes. 10% stacking and separating acrylamide gels were prepared according to page recipe calculator (chang bioscience) and placed into the chamber (vwr), followed by the addition of 1x running bu!er up to the brim of the apparatus. "e protein mixture, along with prestained standard (biorad) was then loaded into the wells and run at 110v for approximately two hours. after the gel was run, it was placed directly into 1x transfer bu!er. "e nitrocellulose was prewet in sterile water to activate and the gels were subjected to overnight electrophoretic transfer (.03amp) following standard procedures. membranes were rinsed in sterile water and then blocked with 50 ml of tris-bu!ered saline tween-20 with 0.25 g bsa (tbstb) + 5% milk for one hour on the shaker at room temperature. after soaking, the blots were treated with anti-necl-5 rat monoclonal antibody clone 1a88 (gift of dr. yoshimi takai, stored at -80°c) diluted 1:1000 in tbstb and incubated overnight at 4°c. after the removal of the primary antibody and 3 consecutive ten-minute washes of tbst, the last with tbstb + 5% milk, the membranes were treated with secondary antimouse igg-alkaline phosphatase antibody produced in goat (sigma, stored at 4°c) diluted 1:10,000 in tbstb and set on the shaker for 1 hour. after three thorough rinses of the blots with tbst, they were treated with bm purple (roche) until the appearance of protein bands— after which they were stored at 4°c in tbst. with two successful western blots (see figures 5 and 6), we were able to formulate a comprehensive picture of c6 glioma migration in$uenced by transfection of pvr. to determine if increased synthesis of cd155 affects the migration of c6 glioma cells, we captured two images of each control and transfection well, as well as one #eld each of the cells remaining on the top of the #lter (see figures 1, 2, 3). it was not immediately prevalent through qualitatively assessing cell numbers that a substantial increase in cell migration occurred between the control and transfected cells, but a detailed count revealed an increase. "e nuclei counts for the control #elds were 315, 355, 260, and 287, respectively. "e numbers of cells transfected with the pvr expression vector that transversed the matrix were 327, 367, 332, and 392. "e average of migrating control cells was 304.25, in comparison with the transfection average of 354.5. our data re$ect an average percent increase of 16.5%. by conventional standards according to a statistical t-test (two-tailed p-value of 0.0957), this di!erence is not considered to be remarkably signi#cant. it is important to note, however, that the second round of trans#lter assays yielded a 32.4% increase in glioma migration as a result of the transfection (see figure 4). in the #rst western blot, which compared cd155 protein levels in c6 control cells to c6 cells transfected with the pvr over-expression vector, we could con#rm from the location of the bands (around 40 kda, just like the mass of cd155) that the antibody did recognize the figure 1 c6 control cells remaining on top of the äs[ly�hm[ly�h�����ov\y�tpnyh[pvu�wlypvk� c6 control cells at the bottom of äs[ly�hm[ly�����ov\y�tpnyh[pvu�wlypvk�� figure 2 pvr-transfected cells at the bottom of äs[ly�hm[ly�����ov\y�tpnyh[pvu�wlypvk� figure 3 figure 4 migrating c6 cells: control vs transfection with pvr expression vector avg. of assay 1 control: 335 tfect: 347 avg percent increase: 3.5% avg of assay 2 control: 273.5 tfect: 362 avg percent increase: 32.4% avg of all control: 304.25 tfect: 354.5 avg percent increase: 16.5% two-tailed p value = 0.0957 image content dna absorbance (µg/ul) nuclei count _______________________________________________________________________ _ control 1a 315 control 1b 355 control 2a 260 control 2b 287 tfect 1a .3 327 tfect 1b .3 367 tfect 2a .4 332 tfect 2b .4 392 results columbia undergraduate science journal open-access publication | http://cusj.columbia.com 48 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y cusjcolumbia undergraduate science journalresearch articles 49cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu v ir o lo g y human protein and that it is in fact present in the cells. because the band on the right, the transfected band, is so much darker, we can also assume that our over-expression last term was successful and that any impact on migration we saw was directly correlated to the up-regulation of cd155 in the c6 cells (figure 5). in the second western blot, which compared c6 and u87 control glioma cells, we can observe two distinct, dark bands (again located around 40 kda) (figure 6). !is is a strong indication that both c6 and u87 glioma cells naturally contain comparable and substantial levels of cd155 protein. we were attempting to mirror the results of a reputable knockdown study conducted by the department of physiology at tufts university school of medicine, (boston, massachusetts) and the department of neurobiology at yale university school of medicine (new haven, connecticut). !is study showed that a knockdown of cd155 by fali in u87mg cells resulted in a signi"cant (16 to 22%) decrease in trans-well migration (sloan, 2005). because the sirna expression vector was not available to conduct a knockdown experiment, our study would be used to perhaps mirror the relationship that has been found previously in the knockdown of cd155. we expected that over-expression of cd155 would signi"cantly increase migration based on the expression of protein levels indicated by western blot analysis. if the over-expression were successful, we would expect that the knockdown that we were unable to conduct out of lack of a rnai expression vector would also decrease migration. despite our predictions earlier in the year, there did not appear to be a tangible visible di#erence between the control pictures and the transfected pictures for this experiment as a whole. one may notice that in general the transfected cell "elds were clearer, and that the control "elds contained a lot of processes (especially in trans"lter assay 1) (figure 3). !is could be possibly interpreted as the presence of cd155 speeding up the growth of cells. if a knockdown in u87 glioma decreased migration of cells, we could infer that cd155 possibly enhances the tumor and may serve as a catalyst for tumor growth. cd155 does not appear to a#ect the shape or size of the cells. without the western blots, which were conducted towards the end of our study, we were not able to detect whether or not the transfection substantially increased the presence of cd155 or by how much. !is led us to question whether or not cd155 was actually present in c6 cells. we supposed that pursuing this inquiry would allow us to make further distinction between c6 cells and human strain glioma. at the very least, we would "nd our results to con"rm an expected di#erence between rat and human models. we predicted that increased cd155 expression in glioma cells was important for migration of the tumor cells in vivo. while our results indicate promise, only two successful experimental replicates were conducted and the variation observed was large—precluding a sound conclusion on the role of cd155 in migration. an additional control, a transfection with a plasmid encoding another protein, would be needed to add to future experiments in order to determine if increased synthesis of any other protein would have the same e#ect on migration. we would also hope to obtain the sirna in order to knock down pvr, which was not available at the time. !e challenge we faced during this experiment was the fact that cd155 is thought to be a uniquely human protein, because poliovirus only naturally infects humans. while mice have been genetically engineered to produce references pvr, we had no predictions as to whether the c6 rat glioma cells would express cd155 at all. cd155 analysis has never been carried out before in c6 gliomas. furthermore, the primary rat monoclonal antibody we used for our western blots was expected to react with necl5, the mouse origin of the protein—and not with the human origin cd155. we were essentially testing to see whether our rat gliomas do naturally express the human protein, and if the mouse antibody would recognize the human homolog. since the blots con"rm that cd155 is indeed present in c6 cells, in an amount comparable to that present in u87 human cells, we can con"rm that the mouse and human homologs of the protein are similar. indeed, cd155 and necl-5 are referred to in combination within scienti"c dialogue and have virtually the same structure. yet if the antibody treats cd155 and necl-5 as the same protein, why is the poliovirus itself speci"c to humans? not only do our "ndings shed light on the strict nature of speci"city characteristic to viruses, but these results suggest that cd155 has more than one function besides being the human receptor for poliovirus, and in concurrence with our assay counts, does e#ect migration on some level. although some of our counts were not statistically signi"cant, what we do see is that the second assay with a higher concentration of dna had an overall much larger percentage di#erence than the control. if we know that the c6 cells contain the human protein and their migration is in$uenced by it, we can now potentially use rats as a model for cd155/pvr oncolytic treatment in humans. a study done by the department of molecular genetics and microbiology at the state university of new york (stony brook, ny) demonstrated for the "rst time that highly attenuated poliovirus recombinants can infect and propagate in cell lines derived from malignant gliomas and, most interestingly, halted tumor progression and eliminated tumors in athymic mice. !ey proposed that susceptibility of these malignant cells to poliovirus may be mediated by expression of the cd155 gene in glial neoplasms (gromeier, 2000). as our understanding of the biology of brain cancer progresses, new knowledge about tumorigenesis and tumor biology can be used to diagnose, treat, and prevent this type of cancer. our experiment may help to support the concept that oncolytic poliovirus recombinants may be the next possible treatment for malignant glioma. beadle c, assanah mc, monzo p, vallee r, rosenfeld ss, canoll p. “!e role of myosin ii in glioma invasion of the brain.” mbc: vol. 19, issue 8, 3357-3368. august 2008. burgoyne am, phillips-mason pj, brady-kalnay sm, et al. “proteolytic cleavage of protein tyrosine phosphatase mu regulates glioblastoma cell migration.” cancer research: 6960-6968. august 18, 2009. giese a, et al. “cost of migration: invasion of malignant gliomas and implications for treatment.” american society of clinical oncology: 1624-1635. 2003. gillespie gy, soroceanu l, manning tj, gladson cl, rosenfeld ss. “glioma migration can be blocked by nontoxic inhibitors of myosin ii.” cancer research: 2076-2082. may 1999. gromeier m, lachmann s, rosenfeld mr, et al. “intergeneric poliovirus recombinants for the treatment of malignant glioma.” proc natl acad sci usa: 6803–6808. june 6, 2000. madsen sj, sun ch, tromberg bj, cristini v, de magalha n, hirschberg h. “multicell tumor spheroids in photodynamic !erapy.” lasers in surgery and medicine: 555–564. 2006. merrill mk, bernhardt g, sampson jh, wikstrand cj, bigner dd, gromeier m. “poliovirus receptor cd155-targeted oncolysis of glioma.” neuro-oncology: 208-217. 2004. pliaka v, dedepsidis e, kyriakopoulou z, papadopoulou i, levidiotou s, markoulatos p. “use of mutational pattern in 5’-ncr and vp1 regions of polioviruses for molecular diagnosis.” molecular and cellular probes: vol. 21, issue 4, 267-275. august 2007. sloan ke, stewart jk, treloar af, matthews rt, jay dg. “cd155/pvr enhances glioma cell dispersal by regulating adhesion signaling and focal adhesion dynamics.” cancer research: 10930–10937. december 1, 2005. solecki dj, gromeir m, mueller s, bernhardt g, wimmer e. “expression of the human poliovirus receptor/cd155 gene is activated by sonic hedgehog.” !e journal of biological chemistry: 277, 25697-25702. april 30, 2002 zhang p, mueller s. “crystal structure of cd155 and electron microscopic studies of its complexes with polioviruses.” pnas: vol. 105, no. 47, 18284-18289. november 2008. figure 5 western blot ac6 control vs c6 transfection with pvr western blot bc6 control vs u87 controlfigure 6 discussion microsoft word cusj_spring_2015_journal.docx !cusj%|%volume%9%|%spring%2015% 27% polynomial-time matrix-based method of determining subset sum solutions aubrey alston1 1department of computer science, columbia university, new york, ny, usa 1 introduction: the subset sum problem is a well-known member of the npcomplete complexity class: given a set of integers a and some constant c, is there some subset of a which sums to c? there have been no known algorithms or methods to solve the value-unbounded, general-case subset sum problem in polynomial time. a naive algorithm performs in exponential time by cycling through the possible subsets of a until it has either seen all subsets or found one that sums to c. a common pseudo-polynomial algorithm employs a dynamic programming method whose complexity is polynomial with respect to the length of the set and the range of the inputs, o(n(m-n)), where n is the length of the set and m-n is the range of inputs; however, this solution is not truly polynomial, as it is polynomial with respect to m-n, which is exponential in its number of bits. approximate algorithms exist which can be modified to find exact solutions; however, they too degrade to being exponential in the number of bits required to represent elements in the set. in contrast to pre-existing algorithms, the method described here does not concern itself with the various subsets that exist within the input set, but rather searches the solution space of a set of linear constraints when applied to an input set to deduce if a solution can exist; this method is a strategy which may be employed to find solutions satisfying the constraints of the subset sum problem in time polynomial with respect only to the length of the input, having generalcase applicability on the basis of universally occurring properties in sets satisfying the problem. conventions, definitions, and properties: given a set a of n greater than four elements and an instance of subset sum for a constant c, satisfied by a subset s of length greater than 2 (the algorithm first catches trivial cases for s of length 1 or 2), index a as follows: the strategy outlined will conform a to a set of linear constraints which will reveal a subset sum-satisfying subset if one exists. to this end, define a subset membership vector m specific to a such that the ith value in m is 1 if the ith element of a is an element of a given subset s of a summing to c, 0 otherwise. if such a subset s exists, m exists and encodes s within a. 2 if s exists, the four following linear constraints surrounding a, s, and m will be satisfied: 1. s sums to c. 2. s has finite length t. 3. there exists an index r for which the rth element of a is or is not in s. 4. there exists an index s for which the sth element of a is or is not in s. using the above constraints, an underdetermined system z can be constructed in the parameters of the constraints listed: the algorithm given below explores the solution spaces of a polynomial number of forms of z to construct the characteristic membership vector m for some subset s of a summing to c if one exists. the convention for the determining solution space of z(a, t, r, vr, s, vs) is to first form an equivalent set representation a’ by interchanging index 3 of a with index r, interchanging index 4 with index s in a, and solving z(a’, t, 3, vr, 4, vs) for m’ equal to m with likewise index permutations using matrices. to represent the solution space of z(a’, t, 3, vr, 4, vs), the outlined algorithm follows the convention of expressing solution space with respect to a particular solution of the system and any linear combination of the null space of the multiplier of z(a’, t, 3, vr, 4, vs). !cusj%|%volume%9%|%spring%2015% 28% 1 the followed solution convention is simple forward elimination, followed by back-substitution. the particular solution is chosen such that all free variables (the rank of the multiplier of the system is 4; given its representation, the free variables are a’5, . . . a’n) are assumed to be zero. the null space is then composed of n-4 special solutions each respectively assuming one unique mi, i = 5, . . ., n to be 1, all other mj to be 0. this convention then allows m’ for any a’ to be expressed as follows: (10) the prescribed convention thus provides a representation of the solution space that may be explored to determine if a valid m’ satisfying subset sum exists for a given z(a’, t, 3, vr, 4, vs): each vector of the null space can be contributed to m’ one or zero times, and, together, the sum of the particular solutions and applicable vectors of the null space will take b1 and b2 (the non-zero and non-one values in the particular solution unique to the values of the first two elements and the chosen vr and vs) to 0 or 1. for any solution space for which this applies, the resulting m’ will be a vector of 0s and 1s encoding the membership of s. due to the form found as a result of convention of this method, the first four elements of a’ are referred to as the current window, the first two elements are the balance elements, and the second two elements are the pivot elements. the algorithm below attempts to reveal and exploit solution space properties which may exist universally among all sets for some window configuration if the set satisfies subset sum to form m’. if the found properties are, in fact, universal, the algorithm outlined is an exact, general-case algorithm for the subset sum problem. in order to determine, view, and exploit these properties, the algorithm utilizes a construct which will be called a directional contribution table. a directional contribution table is a tabulation of the contributions of the elements of the null space towards bringing the balance values of the particular solution towards 0 or 1. a directional contribution table d tabulates the contribution of a given vector in the null space of z towards paired balance targets and is defined with respect to the solution space (as expressed in the previously given convention) of a system s(z) and given target values of the balance points within the particular solution. 2 (11) for a given set a satisfying subset sum, there appears to exit a window configuration for which in z(a’, t, 3, vr, 4, vs) and d(s(z), t1, t2), t, vr, vs, t1, and t2 apply to an extant s, characterized by specific properties within d. the following (possibly non-exhaustive) property has been determined and is employed by the algorithm to determine m’ encoding s within a’: (a) if the length of s is 4, m’ is the exact solution of s(z) when the elements of the window are the elements of s and membership variables are set appropriately. if the length of s is 5, m’ is the exact solution of s(z) plus the vector representing the column of d for which d1,i and d2,i are both 1 when membership variables are set appropriately. in all other cases for a set a of length greater than four, m’ may be formed by taking the vectors represented by each column i for which the absolute value of d3,i is less than one. justification of properties: within the parameters of the convention listed above, manual algebraic reduction in the general case yields the following closed forms for the variables of the particular solution of s(z), the null space of s(z), and values within the directional contribution table: ( (17) (19) !cusj%|%volume%9%|%spring%2015% 29% 1 property (a) is to say that an instance of a subset s of a summing to c exists under the following constraints: (1) the length of s is four, and when the elements of s are set as the window of a’, m’ is found encoding s within a. assume all members of s are the current window of a’, and set membership to t1 = 1, t2 = 1, vr = 1, vs = 1. thus, the particular solution of s(z) for this configuration is encoding s and showing (1) to be true. the above also extends to show that (1) is true for any instance of s having length less than four for which all elements of s are within the window of a’ and membership is set appropriately. the length of s is 5, and when all but one element of s is set as the window of a’, m’ encoding s within a’ is found by adding to the particular solution the vector of the null space corresponding to d1,r = d2,r = 1. assume four members of s are the current window of a’, and set membership to t1 = 1, t2 = 1, vr = 1, vs = 1. 2 solving for the values in the directional contribution table: showing (2) to be true. the above may also be generalized for any s having length less than or equal to five for which all but one element of the subset exists within the window and membership is set appropriately. (3) in all other cases, s of length t >5 of a exists if and only if there exists a window configuration and membership assignment t1, t2, vr, vs such that there exists a set i, length t’ = t t1 t2 vr vs satisfying d3,ij <1 and σd1,ij= σd2,ij = 1 for all j in the range of the length of i. suppose that such a window exists. it is given that and using the closed forms derived earlier in this section: !cusj%|%volume%9%|%spring%2015% 30% 1 repeating the same process as was used in the justification of (1), m’ is derived encoding s within a’: thus, if such a window exists, a s of a’ of length t exists and is encoded by the derivable m’. suppose s of length t of a’ exists. let call window w = {a’1, a’2, a’3, a’4} and define membership of the window as follows: under this membership assignment, 2 likewise, thus, if s of a exists, σd2, ij = σd1,ij = 1. by (3), all d3,ij for the window must satisfy expanding the variables and simplifying, for δ1δ2 >0, and for δ1δ2 <0, it can be shown that the above is satisfied for some window configuration by showing that a tighter contained constraint is also satisfied for some window: summing the d3,ij, !cusj%|%volume%9%|%spring%2015% 31% 1 the numerator and denominator of this expression are both polynomial with respect to t’ (the numerator is of degree 1, and the denominator of degree 2); given that t’ >1, all coefficients of t’ in the numerator appear as a product in the denominator, and all non-t’ constants in the numerator appear in the denominator, the result is bounded by (-t’, t’). given that the above is bounded, viewing the second constraint, assert that thus meaning noting that it can be seen that a window configuration composed of the minima and/or maxima (and/or points whose values are set according to these) with membership appropriately set of si can be made among the set (or possibly created) to satisfy both these (and thus the primary) constraints. additionally, note that if an initial ordering of the set is enforced in which the set is ordered by the absolute value of its elements (increasing or decreasing), enumerating and swapping all possible windows of a in a pair-wise order (1 with 2, 1 with 3, . . ., 2 with 3; followed by pair 1 with pair 2 .. . . pair 2 with pair 3) creates such a set ordering for which a window may satisfy in the same window assignment as the previous constraint. this shows, then, that if s of length t of a exists, there exists a window configuration and membership assignment t1, t2, 2 vr, vs such that there exists a set i, length t’ = t t1 t2 vr vs satisfying d3,ij <1 and σd1,ij = σd2,ij = 1 for all j in the range of the length of i. algorithm & complexity: available upon request to cusj. discussion: a simple implementation of the algorithm was written in java using 64-bit long integers and tested for accuracy to reveal efficacy of the algorithm. to test and explore the algorithm’s performance, a driver was implemented which generates random sets of integers of a given length n, having range -2n2 to 2n2 and tests whether the set satisfies subset sum for c equal either to the sum of a randomly chosen subset or a random number unrelated to the set using (a) a conventional exponential algorithm and (b) the subsetsum routine for n permutations of the set. under the parameters of this test, failure occurs when the output of (b) differs from that of (a). for each n from 1 to 20, 1,000,000 such sets were generated and used to test the implementation of the algorithm. following all 20,000,000 trials, the success rate was 100%, exhibiting precisely 0 failures. to further explore general-case applicability of the algorithm, a reduction to subset sum from 3-sat, another np-complete problem, was implemented and tested, also exhibiting precisely 0 failures over all trials. the method can be reduced to an o(n4) approximation method by only using the subset of possible window configurations represented by shifting the entire set to the left (wrapping the element of the first index to the last position in the set) n times and repeating the constrain procedure. performing the same testing as was performed on the exact method as was outlined in section 2.2, yielding a success rate of 99.95% over 20,000,000 trials. the fact that such accuracy is yielded from a derived approximation which performs in the somewhat practical time of o(n4) gives reason to believe that such a method may call into question the reliability of the assumption that “practically many” naturally occurring instances of npcomplete problems cannot be solved in polynomial time. conclusion: an algorithm has been made that reduces the conditions under which a given set satisfies the stipulations of the subset sum proposition to a set of linear relationships, answering question of whether a set satisfies subset sum may be answered in a number of steps strongly polynomial with respect to the length of the input. following the justification, implementation and exploration of applications, as well as testing of this algorithm, a rate of accuracy and observed applicability was found that calls to question the reliability of assumption that “practically many” naturally occurring instances of np-complete problems cannot be solved in polynomial time. columbia research symposium the columbia undergraduate science journal takes great pride in having the honor of hosting the annual columbia spring research symposium. this year, the 2021 symposium was held virtually for the first time, and we are happy to have celebrated undergraduate research and retained the lively spirit of the event despite the unprecented circumstances. below are the winning presentations selected by our esteemed faculty judges! first place: "can we use next-generation gravitational wave detectors for terrestrial precision measurements of shapiro time delay?" by andrew sullivan abstract: shapiro time delay is an effect predicted by einstein's theory of general relativity whereby the travel time of light is delayed as light passes by massive objects. shapiro time delay is related to the parameterized post-newtonian formalism parameter γ, which quantifies spacetime curvature produced by a unit mass. consequently, the measurement of shapiro time delay can be used as a method of measuring the accuracy of the theory of general relativity. to date, all measurements of shapiro time delay have been conducted in space over astronomical scales. we propose an experiment that will allow shapiro time delay measurements to be conducted on earth, in which we use a rotating mass unit and a next-generation gravitational wave detector. with this scheme, we find that shapiro time delay and γ may be measured with sub-percent precision. this is the most precise scheme proposed for measuring shapiro time delay on earth to date. about the author: "andrew is a junior physics major at columbia university from yonkers, new york. andrew has performed research with columbia's experimental gravity group for the last two years and his research interests lie in the field of gravitational physics and gravitational wave astronomy. andrew hopes to obtain a phd in physics and become a professional researcher. for fun, andrew enjoys watching baseball and running." 62 second place: "neural oscillations as predictors of second language learning" by victoria ogunniyi the full body of this work can be found on page 39 of this issue of the columbia undergraduate science journal. about the author: "victoria ogunniyi is a third-year undergraduate student majoring in neuroscience with a minor in professional writing at the university of illinois at chicago. after college, she plans to apply to medical school and pursue a residency in psychiatry. in her free time, she enjoys improving her fictional writing skills and hopes to one day become a published novelist." 63 third place: "probing the statistical relationship between binary black hole mergers and active galactic nuclei hosts" by amanda beck about the author: "my name is amanda beck, and i am a brazilian junior at columbia university, columbia college, majoring in astrophysics. i am mainly interested in high energy astrophysics, and anything that deals with relativity and statistical analysis, as well as stem education, but am open to any field of research. i plan on obtaining a phd in astronomy or astrophysics, and engage in research and teaching. my favorite pastime is reading, specially fantasy or sci-fi!" abstract: since 2015, ligo/virgo has detected many binary black hole merger gravitational wave signals. identifying the origins of these is key to discover more about these mergers. rare host galaxies, like agn, present a favorable environment for these events due to the possible dynamical interactions in their accretion disks. in this project we will probe the statistical relationship between bbh mergers and agn hosts by analyzing the overlap in localization, as outlined in bartos et. al. 2017. to do that, we developed a python-based framework that can get the volume overlap between agn catalogs and ligo/virgo 90% probability density volume of bbh mergers. it can be used to establish the fraction of bbh gw detections that come from agn and to inform real-time em follow-up. fourth place: "the diagnosis of median arcuate ligament syndrome and postural orthostatic tachycardia syndrome and the effect upon the presentation of clinical depression" by jessica eddy abstract: median arcuate ligament syndrome is a rare, congenital condition where the diaphragm sits too low and the median arcuate ligament crushes the celiac artery. postural orthostatic tachycardia syndrome often presents as a co-occurring condition. the presentation of these conditions impacts the solar plexus, celiac ganglion, autonomic nervous system dysregulation, and neuropathy. my research was conducted in order to see if patients with median arcuate ligament syndrome and orthostatic intolerance as a comorbidity present with higher levels of clinical depression. furthermore, if the severity of the chronic condition increased, would clinical depression increase, as well? this research utilized methods such as peak systolic velocities from color duplex ultrasound technology, tilt table results to test for orthostatic intolerance, and the beck depression inventory-ii to seek to understand the connection between median arcuate ligament syndrome and orthostatic intolerance caused by dysregulation of the autonomic nervous system, which works in some level of conjugation with the solar plexus, sympathetic nervous system, dopamine and serotonin pathways, and dopamine receptor agonists and antagonists. about the author: "my name is jessica eddy. i am from grand rapids, michigan and am currently studying at the university of oxford. my current research includes the impact of rare vascular/gastrointestinal diseases and the role of endothelial cells in hiv latency. i plan to attend medical school for a joint md/phd and hope to research genetic biomarkers in rare vascular conditions. for fun, i love dancing and own my own dance studio, running with my puppy, and traveling the world!" 64 figure: first place poster from andrew sullivan 65 figure: second place poster from victoria ogunniyi figure: third place poster from amanda beck 66 figure: fourth place poster from jessica eddy 67 a letter from the editor-in-chief dear readers, the 2015–16 academic year saw many great developments at the columbia undergraduate science journal. most notably, our team brought the new columbia research scholars journal from concept to first issue. the mission of this new journal is to connect high school researchers from around the world, so that they can meet fellow scientists within their respective fields and share their results. this year, we were amazed to see a diverse array of high-quality research projects, from plant-microbial fuel cells to visual adaptation in schizophrenia. the final selection of papers includes work in biology, chemistry, environmental engineering, computer science, and physics. in this year’s cusj spring symposium, held on april 10th, we were excited to welcome many undergraduate researchers in the new york area as well as some of our most distinguished high school crsj contributors. for the first time, we held a poster contest designed to reward great communication skills and novel research. the awards of excellence this year went to justin cheung and andrew saydjari. this year’s edition of the cusj includes four papers from columbia university undergraduates in the areas of biomedicine and computational genomics. in the past, our policy has been to publish only research conducted by columbia undergraduates. in order for the cusj to grow, we have decided to review submissions from undergraduates anywhere in the world. the cusj, crsj, and our successful events this year were made possible by the dedicated and meticulous work of our editing team and ceo helen yang. we all felt privileged to examine so many insightful research projects, and our new editors gained significant experience in reviewing submissions for two different journals. i am confident that next year’s board will uphold our rigorous review standards and successfully take on new ventures in our mission to bring science to the public. –sean ballinger letter from the editor-in-chief dear readers, it is with great pleasure that the editorial board of the columbia undergraduate science journal presents the 15th edition of our publication. since 2006, cusj has aimed to create a space to highlight the accomplishments of undergraduate scientists and to foster the academic growth of students across all universities. to this end, this cycle saw a record number of submissions, and i am proud to witness the rapidly growing number of undergraduates gaining experience and accessing research opportunities. this edition of cusj features research and review articles that traverse disciplines in their scope. starting with our featured cover story on epithelial barrier integrity, this issue also explores topics from the microwave imaging of pipes to neural oscillations in second language proficiency. i am ecstatic to see the wide variety among these papers, and hope that you will find them as insightful as our editorial board did. coming from undergraduates working at universities located around the world, we hope that you appreciate the importance of their diverse voices. in a year where our organization had to move to a virtual format, producing an issue filled with outstanding research was more difficult than ever, and i would like to show my appreciation to everyone who was involved in the process. this includes but is not limited to the cusj editorial board, the cusj editorial committee, our faculty advisory board, our advisors at columbia libraries, our peer reviewers, research mentors, and all students who submitted their work. in particular, thank you to our published authors, who demonstrated an unwavering commitment to the quality of their papers and who were always a joy to work with despite the lengthy editing process they were subjected to. it has been an honor and a privilege to serve as the 2020-2021 editor-in-chief of cusj. i look forward to seeing the direction of the next editorial board and the future achievements of everyone involved. thank you for reading cusj! sincerely, isabella leite editor-in-chief columbia undergraduate science journal 3 changes in nr2b-nmda receptor expression relate to individual differences in adaptability to food restriction-stress ________________________________________________________________________________ cusj 2018 abstract — the eating disorder anorexia nervosa has an extremely high mortality rate of 5.9% (arcelus et al. 2011) and a poorly understood neurobiology. research indicates the animal model activity based anorexia (aba) may provide insight to the neural correlates of its behavioral and physical markers, hyperactivity and weight loss. previously, female aba rodents were shown to have increased levels of the nr2b subunit of nmda receptor (nmdar), an excitatory glutamate receptor, in stratum radiatum of dorsal hippocampal ca1. increased nr2b-nmdar levels may increase excitability in hippocampus, an anxiety-regulating brain region, possibly increasing anxiety –like behavior (chen et al. 2017) such as hyperactivity (wable et al. 2015). here we tested whether adolescent female mice exposed to a second food restriction (aba2) also demonstrate the behavioral and physical markers of aba. nr2bnmdars in aba2 and control mice were immunolabeled for electron microscopy and quantified at excitatory synapses of ca1 at various pre-, post-, and peri-synaptic regions. electron microscopy was chosen to selectively observe nr2b-immunoreactivity at distinct preand post-synaptic compartments because nmdars can operate differently depending on how closely they are anchored to the synaptic junction immediately apposed to presynaptic release site (hardingham and bading 2010). we found that aba2 animals had more nr2b-labeling in presynaptic terminals and postsynaptic cytoplasm than controls. increased nr2blabeling at postsynaptic density correlated with increased running activity during food access and weight loss, suggesting that nr2b-nmdars at postsynaptic density may mediate vulnerability to aba2. increased levels of nr2b-labeling at extra-synaptic membrane of dendritic spines correlated with less running during aba2, suggesting nr2b at this site may mediate aba resilience. the results indicate localized nr2b expression correlates with adaptability to second exposure to food restriction and support a neurobiological basis for aba. i. introduction anorexia nervosa (an) is a psychiatric eating disorder that can be characterized by restriction of food intake, extreme weight loss, distorted body image and excessive exercise (national eating disorders association 2016). exercise-based hyperactivity, which is evident in 4080% of an patients is not only unhealthy, but also compulsive and compensatory for calorie intake (holland et al. 2014), thereby maintaining the disorder (holtkamp et al. 2004). etiology ranges from socio-cultural factors, such as the media’s construction of the ideal body type, to trauma, personality traits and other mental health conditions (bemis 1978, schmidt et al. 1997); for instance, symptoms of anxiety and restricted food intake may actively contribute to hyperactivity and worsen symptoms of an (holtkamp et al. 2004). familial and twin genetic studies have also revealed susceptible chromosomal loci and candidate genes involved in an pathophysiology, providing evidence for both a biological and experiential bases to the disorder (pinheiro et al. 2009). the disorder typically manifests amongst the adolescent female population and has the highest mortality rate of any psychiatric disease (arcelus et al. 2011). treatment commonly consists of psychotherapy or counseling but can be challenging and with poor outcomes, since about 41% relapse within a year of recovery (carter et al. 2012). medications such as antidepressants and antipsychotics may be prescribed but improve symptoms by targeting pathways involved with depression and bipolar disorder rather than an itself (american psychiatric association). understanding the neurobiological causes of an and how they may contribute to an pathogenesis and progression is therefore critical for developing an alternate route for effective and targeted therapy for an patients. the neural correlates of anorexia nervosa may be explored using activity-based anorexia (aba), the animal model for the disease (chowdhury et al. 2015). built upon the physiological premise that experiencing hunger induces foraging behavior, the model manipulates rodent’s food restriction and access to a running wheel to induce reduced (voluntary) food intake, hyperactivity, and extreme weight loss (chen et al. 2017). for rodents that demonstrate aba, implementing food restriction increases voluntary wheel running such that the rodent chooses to run even during times of food availability and a hungered state (chen et al. 2017). what is intriguing about the model is that rodents experience behavioral symptoms such as hyperactivity in the absence of exposure to the sociocultural factors often ascribed to human etiology of the an, suggesting that a neurobiological change may be sufficient for exacerbating the behavioral symptoms in rodents that are analogous to those of an. invoking aba in rodents thus provides a route to explore vulnerability to an. age, weight, and sex, for instance, are factors established to affect the extent of wheel running and weight loss in aba. animals who are older, heavier, and male tend to demonstrate less hyperactivity and weight loss than younger, lighter or female counterpartstrends that parallel manifestation of an in patients (boakes and dwyer 1997, pare et al. 1978), who are typically adolescent females. experimental evidence reveals distinct neural changes that occur in conjunction with aba to explain these trends. the hippocampus is a highly plastic region that has not yet reached maturity during adolescence in rodents; for instance, the dentate gyrus (dg), which is part of the hippocampal formation dorsal to the ventral ca1 region, changes in nr2b-nmda receptor expression relate to individual differences in adaptability to food restriction-stress danielle mendonca1*, yi-wen chen, katherine varela, chiye aoki1 1 1center for neural science, new york university, 4 washington place, room 809, new york, ny, 10003, usa. cusj 2018 ________________________________________________________________________________ is still undergoing neurogenesis, migration and maturation during puberty and adolescence (stagni et al. 2015). the ongoing development of the hippocampus during this time makes it a particularly vulnerable target for experience-dependent plasticity in response to environmental stressors. coincidentally, adolescent female rats that underwent acute induction of the aba paradigm demonstrated suppressed non-neuronal cell proliferation in the dg and surrounding areas (barbarich-marsteller et al. 2013). while the direct consequence of this abnormality has yet to be discovered, it is well known that normal development of the hippocampus is important for learning and memory formation. however, the hippocampal formation is especially relevant for aba experiments because it regulates stress and anxiety (shen et al. 2007), a condition symptomatic or comorbid with an (kaye et al. 2004). maladaptive alterations to the hippocampus can therefore be detrimental to stress and anxiety management, contributing to the behavioral symptoms of aba. in response to stress, there are elevated levels of glutamate, the excitatory neurotransmitter, in the hippocampus (kazi and oomenn 2014). when glutamate binds nmda receptors on the post-synaptic membrane, and if the membrane potential is sufficiently depolarized, there is an influx of calcium into the cell that activates intracellular signaling cascades that may activate receptor trafficking pathways and exocytotic events. higher concentrations of glutamate mediate increased excitability in the hippocampus, which strongly correlates with stressinduced anxiety (shen et al. 2007). for animals that are vulnerable to aba, there is a significantly higher concentration of nmdars within regions of dorsal hippocampus (chen et al. 2017), in addition to an altered dendritic arborization of ca1 pyramidal cells in dorsal hippocampus (chowdhury et al. 2014). the experience-dependent changes in ca1 spines in response to aba can therefore be used to study vulnerability to aba. the dendrites of ca1 branch together within stratum radiatum (sr), receiving inputs from ca3 schaffer collaterals and entorhinal cortex (ec), and sending outputs to the ec layer v and subiculum (olypher, lytton and prinz 2012). for adolescent female mice that have undergone one round of aba (aba1), there is a marked increase in levels of the nr2b subunit of the nmda receptor in ca1, thereby mediating increased excitability and anxiogenesis within hippocampus (chen et al. 2017). functional nmdars are comprised of four subunits: two subunits of nr1 and two subunits of nr2a and/or nr2b. this experiment implemented a second exposure to food restriction to the wheel-acclimated mice after seven days of recovery from aba1. although both nr2a and nr2b are nmda subunits of interest, only the relationship between nr2b levels and aba2 behaviors was considered here. rodents who are exposed to food restriction once demonstrate the behavioral and physical markers of aba. here we test whether or not adult female mice with a second exposure to food restriction also demonstrate the behavioral and physical markers of aba and have a redistribution of nr2b-nmda at hippocampal ca1. using immunocytochemistry and post-embed gold (peg) labeling for electron microscopy, nr2b-nmda receptors were visualized at axo-spinous synapses within sr of dorsal ca1 of aba2 animals and age-matched controls. electron microscopy was chosen for visualization of the peg-labeled nr2bs because it allows visualization of both presynaptic and post-synaptic regions of the ca1 junction and differentiation between axospinous excitatory synapses verses axo-dendritic shaft inhibitory synapses. because the location of the nr2b containing nmdar dictates its function (hardingham and bading 2010, petralia et al. 2010), it was important to quantify peg-particles across various synaptic regions; the subcellular synaptic compartments analyzed included at the postsynaptic density, near the postsynaptic density, postsynaptic cytoplasm, post-extrasynaptic membrane, at/near presynaptic membrane, presynaptic cytoplasm, preextrasynaptic membrane and the synaptic cleft. the hypothesis was that neural circuitry modifications in the hippocampus do not get restored after aba1, and there are therefore increased levels of nr2b-nmda in ca1 pyramidal cells during and after aba2. higher levels of nr2b-nmda can mediate increased excitability in the hippocampus, leading to increased anxiety-like behavior and increased hyperactivity, mediating vulnerability to aba. we found that aba2 animals demonstrated significantly higher levels of nr2b-immunoreactivity within the postsynaptic cytoplasm, presynaptic cytoplasm and pre-extrasynaptic membrane than agematched controls. aba2 animals also demonstrated individual differences in nr2b levels that correlated to adaptability to aba2, such as extent of wheel running activity and weight loss. this provides evidence that a second exposure to food restriction also correlates with the behavioral and physical markers of aba. ii. methods animals mice used for this experiment were handled according to the institutional animal care and use committee of new york university (animal welfare assurance no. a311701). there were a total of 15 mice used in the experiment, 8 in the aba condition and 7 age-matched controls. the control animals did not experience any food restriction. all mice were female, bred and housed within the nyu animal facility, and with a c57bl/6j strain background (see chowdhury et al. 2013, chen et al. 2016). the aba1 and aba2 paradigm is as described in chowdhury et al. (2013), except we used 2 hours of food restriction from 7pm-9pm, during the first two hours of the dark cycle. the aba paradigm begins with a baseline period starting at p36, when animals are acclimated to the running wheel in individual cages and have normal access to food (see fig. 1a). starting at p41, the animals are subject to aba. this involves continuous access to the running wheel in conjunction with food restriction. animals in aba only have access to food during the hours of 7-9pm, during the first two hours of the dark cycle (see fig. 1b). the animals’ dark cycle begins at 7pm and terminates at 7am, during which time the lights are kept off. at the end of each food access period, animals were moved to a new cage and the amount of food consumed and the wheel count recorded. wheel counts were 2 ________________________________________________________________________________ cusj 2018 recorded at these intervals: 1am-7am (during the dark cycle), 7am-1pm, 1pm-7pm (faa), 7pm-9pm (food access) and 9pm-1am. this allowed for comparison of wheel activity during distinct periods of the day and a summation of wheel counts to calculate total activity during aba. after completion of aba1, animals were given a recovery period until p51 in order to restore a healthy body weight (see fig. 1a). from p51-p55, animals underwent a second baseline period with continuous running wheel access to reacclimate to the wheel. aba2 began on p55 through p59 and followed the same protocol as for aba1. the paradigm was culminated with euthanasia by perfusion on p60. wheel activity and weight were monitored throughout this time. figure 1: schematics of the aba paradigm. (a) timeline outlining sequence of events for aba2 mice from birth (p0) to perfusion (p60). during aba1 and aba2, mice had continuous access to a running wheel but limited access to food. (b) typical day of aba: mice received food only from 7pm-9pm, during the first two hours of the dark cycle that continues until 7am. wheel running is monitored throughout aba; food anticipatory activity is seen and measured from 1pm to 7pm. brain tissue preparation aba animals and age-matched controls were euthanized on p60 (after the second aba), using a urethane based anesthesia (i.p. 34%, 0.15ml/20g), at a time between 12pm and 4pm (chen et al. 2016). animals were then transcardially perfused using a buffer containing 4% paraformaldehyde (pfa). fixation with glutaraldehyde was not conducted until post-embed tissue processing for the purpose of antigen retention (chen et al., 2016). after extraction, brains were post-fixed in a pfa fixative for 9h, and sectioned on a coronal plane using a vibratome (40!m). tissue sections were stored at 4°c in 0.01m phosphate buffer, 0.9% saline (buffer ph = 7.5) and 0.05% sodium azide (pbs-azide). sections containing dorsal hippocampus were then selected for post-embed processing. antibodies primary antibodies used in the experiment are previously described (aoki et al. 2009a, b, and chen et al. 2017). the antibody used against nr2b (cat. #06-600, millipore (previously available from upstate biotechnology)) was developed in rabbits and targets the last 20 amino acids of the rodent nr2b c-terminus. antibody specificity was confirmed with western blots on rat brain microsome, which revealed a single band at ~180kd corresponding to the molecular weight of nr2b (chen et al. 2017) and no indication of cross-reactivity with nr1 or nr2a subunits of the nmdar (rinaldi et al. 2007). the aba2 and con tissue was also labeled with anti-nr2a primary antibody for a portion of the experiment that will be considered in the near future. the secondary antibody used to detect the primary nr2b antibody was anti-rabbit igg, produced in donkey, conjugated to 10nm colloidal gold particles (cat. #25705, electron microscopic sciences). immunocytochemistry procedures for targeting nr2b using immunocytochemistry are as previously described in aoki et al. 2000, 2003, 2009a, 2009b, fujisawa and aoki 2003). processing for immunolabeling was done on two vibratome sections (randomly selected) per animal that were post fixed with 2% glutaraldehyde in pbs for 10 mins. these sections were then processed using the osmium-free procedure for electron microscopy and embedded in plastic. the plastic-embedded blocks were then ultrathin sectioned, producing five em grids per section. two of the grids were used for nr2b labelling, two for nr2a, and one as a no primary antibody control. post-embed immunogold labelling was conducted as described previously (aoki et al. 2009b). the grids were incubated with anti-nr2b (10ug/ml, millipore) overnight and anti-rabbit igg secondary antibody (1:100, ems) for 1 hour at room temperature. electron microscopy visualization and imaging of immuno-labeled sections was conducted using a jeol 1200xl transmission electron microscope and amt xr80 camera system and software (boston, ma).�typically, one grid, randomly picked from pairs of immunolabelled grids, was selected per animal for imaging. the grids contained anatomical markers including ca3, dentate gyrus and hippocampal fissure that were used to locate the ca1 region. a second grid was only used in cases when the tissue was torn over the region of interest, making it challenging to capture good images for quantitative analysis. all images captured were within sr of ca1 in dorsal hippocampus, and the synapses accounted for were asymmetric axo-spinous, identified using a thick post-synaptic density opposite to a presynaptic terminal containing vesicles. the identity of the animals, either aba2 or control, was not revealed until after image capturing and peg quantification to prevent bias from seeking higher or lower levels of nr2bimmunoreactivity during image capturing. images were analyzed for peg-particle quantification using imagej (nih). 28 figures figure 1. schematics of the aba paradigm. a timeline outlining sequence of events for aba2 mice from birth (p0) to perfusion (p60). during aba1 and aba2, mice had continuous access to a running wheel but limited access to food. b typical day of aba: mice received food only from 7pm-9pm, during the first two hours of the dark cycle that continues until 7am. wheel running is monitored throughout aba; food anticipatory activity is seen and measured from 1pm to 9pm. p0 p25 p36 p41 p51 p55 p60 p44 aba1 aba2 birth wean baseline 1 (acclimation) baseline 2 (reacclimation) recovery aba paradigm schematic +2hr food +2hr food perfusion running activity schematic 1am 1pm 7am 7pm 9pm food access food anticipatory activity (faa) 24 hr aba cycle lights off (dark cycle) a b 3 cusj 2018 ________________________________________________________________________________ peg-particle analysis and statistics because each nr2b-immunoreactivity was analyzed by quantifying peg particles at distinct subcellular compartments (see fig. 2a, b) pre-extrasynaptic, precytoplasmic, at/near presynaptic membrane, cleft, at/near postsynaptic density, post-extrasynaptic, post cytoplasmicat axo-spinous synapses in sr of dorsal ca1. peg particles that were clustered in groups of 2 or more particles that were less than 20nm apart were quantified as a single nr2b label. peg particle analysis was conducted in two ways: using animals as independent units and using synapses as independent units. figure 2: electron micrograph images from aba tissue to demonstrate categorization of immuno-labeled nr2b subunits at distinct axo-somatic synaptic compartments. numerically annotated images contains a bar to scale to 200nm. (a) a presynaptic axon terminal is indicated by “a.t.” and postsynaptic dendritic spine by “d.s.”. nr2b-immunoreactivity is observed through peg immunolabelling, as indicating by numbers 1-9, categorized accordingly: (b) 1 at postsynaptic density, 2 in cleft, 3 in postsynaptic cytoplasm, (c) 4 near postsynaptic density, 5 and (d) 6 at pre-extrasynaptic (pre-es) membrane, 7 at presynaptic cytoplasmthe cluster of two pegs at 7 was counted as a single labeled nr2b subunit, since the pegs were < 20nm apart(e) 8 at post-extrasynaptic (post-es) membrane, (f) 9 at presynaptic membrane. (g) schematic to show how pegs were categorized at distinct locations within excitatory synapses. using synapses as independent units compares group differences in nr2bimmunoreactivity between the aba2 group and the control group using mann-whitney u tests (see fig. 3). approximately 200 synapses were analyzed per animal, and sorted into groups of 10 (per-10-synapses) to assess for the level of peg particles and proportion of nr2b-immunoreactivity present across the subcellular compartments per tissue. the sums of the pegs per 10 and per animal (200 synapses) or sums of synapses immunolabeled per 10 and per animal were then pooled together. nr2b-immunoreactivity at each subcellular synaptic site in aba2 and control animal tissue was compared using mann-whitney u tests for nonparametric data because the data was not normally distributed. using each animal as an independent unit compares how individual differences in nr2bimmunoreactivity correlate with wheel running activity and change in body weight (see figs. 4, 5). the per-10-synapses sorting was repeated 20 times to obtain a sum of the pegs or immunolabeled synapses per 200 synapses. the sum of the pegs per animal (or 200 synapses) or sum of synapses immunolabeled was then used to determine significant individual differences in aba2 tissue immunolabeling and behavioral symptoms of aba. nr2b-immunoreactivity was related to wheel running activity and weight loss by conducting a pearson’s correlation analysis on prism (la jolla, calif., versions 7.0). the p value used to determine statistical significance was p< 0.05. iii. results aba2 evokes a distribution of nr2b in sr of hippocampal ca1 that is different from controls and aba1 animals animals that experienced a second aba (aba2) demonstrated a distribution of nr2b-pegs that was different from age-matched control animals. nr2b detection by peg immuno-labeling revealed that aba2 animals had a greater proportion of synapses with peglabeled nr2b in the pre-synaptic cytoplasm (mannwhitney u (mwu)= 6515, p= <.0001, fig. 3a) and postsynaptic cytoplasm (mwu= 8749, p= 0.003, fig. 3a) relative to age-matched controls. aba2 animals also had higher levels of nr2bimmunoreactivity, as quantified by the number of peg particles, within the postsynaptic cytoplasm (mwu= 9091,p=0.0023, fig. 3b), presynaptic cytoplasm (mwu= 6900, p= <0.0001, fig. 3b), and preextrasynaptic membrane (mwu= 9716, p= 0.0255, fig. 3b). while aba2 and control animals did not demonstrate a significant difference in nr2bimmunoreactivity at other subcellular presynaptic sites, there was still an overall 29 figure 2. electron micrograph images from aba tissue to demonstrate categorization of immunolabeled nr2b subunits at distinct axo-somatic synaptic compartments. numerically annotated images contains a bar to scale to 200nm. (a) a presynaptic axon terminal is indicated by “a.t.” and g a b c d e f 4 ________________________________________________________________________________ cusj 2018 increase in nr2b-pegs within presynaptic terminals (mwu = 6821, p= <0.0001, fig. 3b) compared to controls. figure 3: the distribution of nr2b in sr of hippocampal ca1 is different in aba2 tissue compared to control tissue. mannwhitney u test for nonparametric data was conducted to determine significant differences in nr2b-immunoreactivity. significant differences are marked with an asterisk (*). (a) group comparisons in proportion of synapses labeled with nr2b using synapses as independent units. (b) group comparisons in levels of nr2b-pegs using synapses as independent units. (c) group comparisons in proportion of synapses labeled with nr2b using animals as independent units. (d) group comparisons in levels of nr2b-pegs using animals as independent units. when nr2b-peg levels were compared using each animal as an independent unit, a significant difference in immunoreactivity relative to controls was only seen in the presynaptic cytoplasm, since aba2 animals had a greater proportion of terminals labeled (mwu= 0, p= 0.003, fig. 3c) and more abundant nr2b-immunoreactivity (mwu = 1, p= 0.0006, fig. 3d) within this region. although nr2b labeling anywhere in the presynaptic spine was significantly greater (mwu= 5, p= 0.0059, fig. 3d) between aba2 animals and controls, the animals did not exhibit a significant differences in nr2b distribution anywhere in the postsynaptic spine. these results additionally indicate that nr2b distribution for aba2 animals was different from aba1 animals’. previous findings conducted by chen et al. 2017 that considered how the aba induction affects nr2b distribution in sr of hippocampal ca1 found significantly greater nr2b-immunoreactivity at both the presynaptic axon terminals and postsynaptic spines, relative to control animals’ (see chen et al. 2017 fig 3b). the new findings suggest that experiencing aba2 results in a loss of the upregulated postsynaptic nr2b present during aba1, since there is no consistent significant difference between aba2 and control animals within postsynaptic regions (fig. 3c, 3d). increased nr2b-immunoreactivity at the postsynaptic density correlates with individual differences in running activity during food access and increased weight loss after aba2 running during food access is an indication of hyperactivity and self-starvation in aba because the animal is choosing to exercise rather than eat its food. aba2 animals demonstrated individual differences in running activity during food access. for animals that ran more during the feeding hours of the last three days of aba2, there was a higher number of nr2b-pegs at the postsynaptic density (psd) (r= 0.902, p = 0.005, fig. 4a). interestingly, there was no significant correlation between nr2b-immunoreactivity at the postsynaptic density and running activity within the reacclimation period, which occurred prior to aba2 (data not shown). this may suggest the role of nr2b at the psd involved not in general locomotion, but instead when there is a conflict between an innate urge to forage (physical activity) versus feed. if upregulated nr2b at the psd has a role in exacerbating physical activity during aba2, specifically during times of food availability, animals with more nr2b at the psd should also demonstrate increased weight loss after aba2 due to their voluntary food restriction. the aba2 animals’ weight loss (%) at perfusion was used to indicate the weight lost after aba2 relative to the animals’ weight before beginning aba2. indeed, individual differences in aba2 animals’ weight loss (%) at perfusion correlated positively and significantly with nr2b-pegs at the psd (r= -0.89, p= 0.018, fig. 4b). no other behavioral data during aba2 30 postsynaptic dendritic spine by “d.s.”. nr2b-immunoreactivity is observed through peg immunolabelling, as indicating by numbers 1-9, categorized accordingly: (b) 1 at postsynaptic density, 2 in cleft, 3 in postsynaptic cytoplasm, (c) 4 near postsynaptic density, 5 and (d) 6 at preextrasynaptic (pre-es) membrane, 7 at presynaptic cytoplasmthe cluster of two pegs at 7 was counted as a single labeled nr2b subunit, since the pegs were < 20nm apart(e) 8 at postextrasynaptic (post-es) membrane, (f) 9 at presynaptic membrane. (g) schematic to show how pegs were categorized at distinct locations within excitatory synapses. a preat prene ar preex tra sy na pti c precy top las mic clef t pos t-a t pos t-n ea r pos t-e xtr as yn ap tic pos t-c yto pla sm syn ap tic pr e syn ap tic po st syn ap tic any whe re pre any whe re po st any whe re pre po st extr as yn pr e p os t 0 2 4 6 8 peg count n um be r o f p e g -p ar tic le s pe r 1 0 sy na ps es con aba * * * * *b 31 figure 3. the distribution of nr2b in sr of hippocampal ca1 is different in aba2 tissue compared to control tissue. mann-whitney u test for nonparametric data was conducted to determine significant differences in nr2b-immunoreactivity. significant differences are marked with an asterisk (*). a group comparisons in proportion of synapses labeled with nr2b using synapses as independent units. b group comparisons in levels of nr2b-pegs using synapses as independent units. c group comparisons in proportion of synapses labeled with nr2b using animals as independent units. d group comparisons in levels of nr2b-pegs using animals as independent units. preat prene ar preex tra sy na pti c precy top las mic clef t pos t-a t pos t-n ea r pos t-e xtr as yn ap tic pos t-c yto pla sm syn ap tic pr e syn ap tic po st syn ap tic any whe re pre any whe re po st any whe re pre po st extr as yn pr e p os t 0 50 100 150 synapse count per animal n um be r o f s yn ap se la be le d by p e g p er 2 00 s yn ap se s con aba * * * c preat prene ar preex tra sy na pti c precy top las mic clef t pos t-a t pos t-n ea r pos t-e xtr as yn ap tic pos t-c yto pla sm syn ap tic pr e syn ap tic po st syn ap tic any whe re pre any whe re po st any whe re pre po st extr as yn pr e p os t 0 50 100 150 200 peg count-animal n um be r o f p e g la be le d pe r 2 00 s yn ap se s con aba * * * d 5 cusj 2018 ________________________________________________________________________________ correlated significantly with nr2b-pegs at the psd (data not shown), suggesting nr2b at the psd may independently increase susceptibility to aba2 by increasing anxiety, which promotes physical activity during food access, thereby increasing weight loss. figure 4: pearson correlation results for nr2bimmunoreactivity at the postsynaptic density (psd) and individual differences in aba vulnerability. (a) running during food access, measured from 7pm9pm (the hours of food availability), during the last three days of aba2 correlated significantly and positively with nr2b at the psd. (b) weight loss at perfusion, relative to the animals weight before aba2, was greater in animals that had increased nr2b at the psd, indicating increased vulnerability to aba with increased nr2b at the psd. black triangles indicate data from aba2 tissue; grey triangles indicate data from age-matched controls (con) tissue. pearson correlation r values are marked with two asterisks (**) to indicate p<0.01. post-extrasynaptic nr2b-immunoreactivity in relationship to running activity during aba2 individual differences in running activity over the course of aba2 (km) correlated negatively with levels of nr2b-pegs at the post-extrasynaptic (post-es) plasma membrane: animals that demonstrated increased hyperactivity had a smaller proportion of synapses containing nr2b-immunoreactivity at the post-es membrane (r= -0.88, p=0.0088, fig. 5a) and fewer nr2bpegs at the post-es membrane (r= -0.87, p= 0.011, fig. 5b). this suggests post-es nr2b may have a role in mediating aba resilience, since animals with greater nr2b levels in this region demonstrate less hyperactivity over the course of aba2. figure 5: pearson correlation results for nr2bimmunoreactivity at the post-extrasynaptic (post-es) membrane and individual differences in aba2 vulnerability. (a) a greater proportion of synapses were labeled with nr2b-pegs at the post-es membrane and (b) a higher level of post-es nr2bpegs were present in aba2 animals that ran less over the course of the aba2. (c) nonfood anticipatory activity and (d) food anticipatory activity during aba2 correlated negatively with post-es nr2b-immunoreactivity. black triangles indicate data from aba2 tissue; grey triangles indicate data from agematched controls (con) tissue. pearson correlation r values are marked with one asterisk to indicate 0.05>p>0.01 but two asterisks (**) to indicate p<0.01. although post-es nr2b-immunoreactivity did not correlate with running activity during baseline, aba1, or the reacclimation period (data not shown), there was a significant correlation between post-es nr2b-pegs and food anticipatory activity (faa, 1pm-7pm, preceding the feeding hours) during aba2 (r=-0.77, p=0.04, fig 5c) as well as non-faa activity (7pm-1pm) during aba2 (r=0.79, p=0.03, fig. 5d). food anticipation during aba typically results in an innate increase in wheel running behavior (mistlberger 1994). the findings suggest higher levels of post-es nr2b levels make aba animals less susceptible to hyperactivity during aba2, even when anticipating food. post-es nr2b may therefore have a role in protecting animals form aba2-induced hyperactivity. however, post-es nr2b pegs did not correlate with running activity during times of food availability, nor did it correlate with weight loss (data not shown). iv. discussion functional significance of increased presynaptic nr2bimmunoreactivity in aba2 animals compared to controls presynaptic receptors are known to have a role in enhancing synaptic efficacy by modulating neurotransmitter release through cascadic signaling pathways (diguid and smart, 2009). presynaptic nmdars (prenmdars) are not classical hebbian receptors because their activation via glutamate binding and depolarization arises presynaptically (bidoret 2009, dore et al. 2017) instead of postsynaptically. yang et al. (2011) found that entorhinal cortical nr2b-nmda presynaptic autoreceptors had a role in tonically facilitating glutamate release in chronically epileptic rats (yang et al., 2006), suggesting that enhancement of glutamate release from presynaptic terminals can be modulated by nr2b-nmda autoreceptors. additionally, dore et al. (2017) outlined the prenmdar’s roles in both evoked and spontaneous neurotransmitter release (berretta and jones 1996, sjöström et al., 2013), with and without calcium+dependency (kunz et al., 2013). if hippocampal prenr2bnmdars function similarly, in that they modulate both tonic and evoked glutamate release, the concentration of glutamate would be elevated within the synaptic cleft, exciting adjacent neurons. the level of nr2b-nmdars within presynaptic terminals in sr of hippocampal ca1 of aba2 animals was significantly higher than basal levels in control animals. increased nr2b-nmdars may thus function to enhance vesicular release of glutamate, and contribute to increased 32 figure 4. pearson correlation results for nr2b-immunoreactivity at the postsynaptic density (psd) and individual differences in aba vulnerability. a running during food access, measured from 7pm9pm (the hours of food availability), during the last three days of aba2 correlated significantly and positively with nr2b at the psd. b weight loss at perfusion, relative to the animals weight before aba2, was greater in animals that had increased nr2b at the psd, indicating increased vulnerability to aba with increased nr2b at the psd. black triangles indicate data from aba2 tissue; grey triangles indicate data from age-matched controls (con) tissue. pearson correlation r values are marked with two asterisks (**) to indicate p<0.01. 0 1 2 3 4 5 6 0 10 20 30 running during food access last 3 days of relapse (km/2hr) n r 2b a t p s d pe r 2 00 s yn ap se s conpost-at post-at con r = -0.902** a b -30 -25 -20 -15 -10 0 10 20 30 weight loss at perfusion (%) n r 2b a t p sd pe r 2 00 s yn ap se s con-post-at post-at con r = -0.89** 33 figure 5. pearson correlation results for nr2b-immunoreactivity at the post-extrasynaptic membrane and individual differences in aba2 vulnerability. a a greater proportion of synapses were labeled with nr2b-pegs at the post-es membrane and b a higher level of post-es nr2bpegs were present in aba2 animals that ran less over the course of the aba2. c nonfood anticipatory activity and d food anticipatory activity during aba2 correlated negatively with post-es nr2b-immunoreactivity. black triangles indicate data from aba2 tissue; grey triangles indicate data from age-matched controls (con) tissue. pearson correlation r values are marked with one asterisk to indicate 0.05>p>0.01 but two asterisks (**) to indicate p<0.01. 0 10 20 30 0 5 10 15 20 running during relapse (km) n r 2b -la be lle d po st -e s m em br an e pe r 2 00 s yn ap se s con-post-extrasynaptic post-extrasynaptic con r = -0.88** 0 10 20 30 0 5 10 15 20 running during relapse (km) po st -e s nr 2b p er 2 00 s yn ap se s con-post-extrasynaptic post-extrasynaptic con r = -0.87* 0 1 2 3 0 10 20 30 faa vs post-es peg faa in relapse (km/ 6hr) p os t-e s n r 2b p er 2 00 s yn ap se s con-post-es post-extrasynaptic con r = -0.77* 0 10 20 0 5 10 15 20 non faa vs post-es peg non-faa in relapse (km) po st -e s n r 2b p er 2 00 s yn ap se s con-post-es post-extrasynaptic con r = -0.79* d c a b 6 ________________________________________________________________________________ cusj 2018 excitability in the hippocampus that may be occuring in conjunction with aba2. interestingly, there were limited correlations between pre-nr2b and individual differences in aba2 vulnerability that could be made. this suggests that while aba tissue had significantly higher pre-nr2bimmunoreactivity compared to controls, pre-nr2b nmdas does not have a large role in role in the two measurements we made of aba vulnerability – wheel running and weight loss. there may be other measurements which we did not make, such as corticosteroid levels, with which prenr2bimmunoreactivity correlates. functional significance of increased nr2b-immunoreactivity at the postsynaptic density correlating with increased running activity during food access a higher concentration of nr2b-nmda receptors receiving glutamate at the postsynaptic density correlated with increased running during food access during aba2. increased running during food access reduced food intake during the two hours of food availability, directly increasing weight loss, which also correlated positively with increased nr2bimmunoreactivity at the psd. these individual differences in running during food access in aba2 mice are a trademark behavior of aba: the amount of energy metabolized for exercise is greater than the animal’s caloric intake, ultimately leading to starvation and death. while the mechanism underlying hyperactivity despite low energy levels has yet to be determined (kim 2012), hyperactivity may also be an indication of increased stress, and stress induced anxiety (shen et al. 2007). in the absence of aba, sibold et al. (2011) found that stress significantly increased wheel-running activity in mice already acclimated to the wheel. there is evidence to suggest hyperactivity in mice serves as an anxiolytic to relieve stress, a behavior that can be paralleled to human cases of anorexia nervosa, where patients who exercise excessively also demonstrate higher levels of anxiety and report exercise to be anxiolytic (peñas-lledó et al. 2002). while contradictory evidence suggests that hyperactivity in rodents may serve to increase anxiety instead (garrett et al. 2012), the correlation between mice in the aba-paradigm and increased anxiety relative to controls is consistent, since aba mice have been shown to demonstrate increased anxiety-like behaviors in the elevated plus maze after food restriction (wable et al. 2015). functional nr2b-nmdars at the post-synaptic density can increase rate of cell firing, not only increasing excitability but also increasing local concentrations of glutamate to sustain excitability. this can sustain anxiety-like behaviors in mice and contribute to the hyperactive behaviors demonstrated by aba and aba2 mice, which engage in highenergy-expending exercise despite having low-energy levels due to low caloric (food) intake. future studies involving the aba paradigm should examine the role between nr2b at the postsynaptic density and increased ca1 cell excitability in aba or aba2 mice that demonstrate increased anxiety and hyperactivity. post-extrasynaptic nr2b-nmda as a facilitator of aba resilience aba2 animals demonstrated increased nr2b-nmda at the post-extrasynaptic membrane that correlated with decreased running during aba2, including reducing food anticipatory activity (faa) and non-faa wheel running. this suggests post extrasynaptic nr2b (post-es-nr2b) may provide resilience to aba2. whereas post-es-nmda has been shown to promote neuronal apoptosis in cultured neurons (hardingham and bading 2010), chen et al. (2017) suggest that post-es-nmda role may have more to do with synaptic, spine and dendritic pruning as evident in adolescent animals that demonstrate voluntary exercise (chowdhury et al 2014). post-es-nr2b activation may also evoke long-term depression (ltd) in hippocampal ca1 (liu et al 2013), suggesting post-esnr2bs may play a role in reducing excitability within the post-synaptic neuron. if upregulated post-es-nr2b functions to depress synaptic efficacy via ltd and reduce ca1 excitability, this explains how post-es-nr2b can protect aba-vulnerable animals from exercising excessively during aba2 and also suppress overall activity, as seen with reduced faa in aba2 animals that have increased post-es nr2b. interestingly, the aba2 findings for post-synaptic nr2b-immunoreactivity differ from those found after only one aba. chen et al. (2017) noted no significant correlation between post-extrasynaptic nr2b levels and weight loss (see table 4 of chen et al. 2017). this can suggest either a downregulation of nr2b from the post-es membrane or a redistribution of nr2b from the post-es membrane to another postsynaptic site that only occurs after the experience-dependent changes facilitated by aba1. immunodetection of nr2b-nmda is not an indication of functionality. in the absence of electro-physiological experiments on neural tissue from aba2 animals, the ratio of functional to non-functional nr2b-nmdars, and the true change in excitability of the hippocampus due to an increase in nr2b-nmda, are not known. while the possibility of non-functional nr2b-nmda present at cytoplasmic and extrasynaptic sites cannot be ruled out, there is still evidence for an upregulation, or downregulation, of nr2b at these sites. moreover, while some differences between nr2b-immunoreactivity in aba1 (from chen et al. 2017) and aba2 were noted, it is important to consider that the aba1 animals were perfused at a younger age of p44 than aba2 animals that were perfused at p60. this means that age is likely to have also contributed to differences in nr2b distribution between the two aba groups, which can be determined by doing an age-matched aba1 paradigm. v. conclusions animals that experience two episodes of food restriction in the presence of a running wheel exhibited increased nr2b-immunoreactivity in ca1 neurites that positively correlated with activity-based anorexia behaviors such as hyperactivity (wheel running) and weight loss, both of which are analogous to behaviors symptomatic of anorexia nervosa. animals that demonstrated aba had differential levels of nr2b 7 cusj 2018 ________________________________________________________________________________ nmda that correlated with how adaptable they were to stress evoked by food restriction. the findings of elevated nr2b-nmdars across preand post-synaptic regions correlating with ababehaviors, after a second exposure to food restriction, indicate a route for therapy through nr2b antagonism. future studies should examine how nr2bselective nmda antagonists such as ifenprodil (chennard and menniti 1999) administered through an implantable infusion into ca1 of dorsal hippocampus may alleviate aba severity. vi. author information corresponding author *ddm316@nyu.edu vii. acknowledgements thank you to dr. chiye aoki for providing her scientific mentorship throughout this project, for teaching me how to use the electron microscope, for ensuring accuracy in my data collection, and for assistance in preparing this manuscript. the responsibility of em image capturing, nr2b-peg quantification and analysis was shared between katherine varela and me, with dr. aoki overseeing our accuracy. thank you to yi-wen chen for providing assistance with data analysis and with graph generation using prism. the animals used in this study were handled by gauri wable before 2013, and the peg immunolabeling for electron microscopy was conducted by dr. aoki and yi-wen chen in the summer of 2017. viii. references [1] american psychiatric association. practice guidelines for eating disorders. am j psychiatry. 1993; 150:212. 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[47] yang j, woodhall gl, jones rs (2006) tonic facilitation of glutamate release by presynaptic nr2bcontaining nmda receptors is increased in the entorhinal cortex of chronically epileptic rats. j neurosci 26(2):406–410. doi: 10.1523/jneurosci.4413-05.2006 9 a letter from the editor-in-chief dear readers, 2014 proved to be an instrumental year for the growth and total revitalization of the columbia undergraduate science journal. our associate editors, ceo and myself looked forward to recruiting a new editorial board made up of underclassmen and building strong relationships with these editors through weekly workshops and event planning meetings. i am especially proud of our board’s commitment to building strong relationships; what was once a journal that lacked mentorship opportunities has now blossomed into a tight-knit community of aspiring researchers who value the power of quality writing. a highlight of our events this past year was our spring undergraduate research symposium, which was held on april 20th, 2014. 22 research posters were presented by students from colleges across the northeast region. it was delightful to feel the passion from each of these students as they talked about their research, and we look forward to hosting the symposium again on april 26th, as we have expanded the event to include 30 posters. looking at this year’s journal, i am also proud to see the various authors and research that we have been blessed to exhibit. for the first time, our editors have been given the opportunity to publish in the journal through our editorials section. we are thrilled to provide these fresh perspectives on scientific research to our audience and hope to continue this practice in future journals. in addition, the multi-page papers in this journal showcase the breadth of scientific research that our organization promotes. i sincerely hope that you enjoy the articles. all in all, the columbia undergraduate science journal has made major progress over the past year. “stability leads to legitimacy” has been our mantra this academic year, and our e-board has provided the stability needed to give meaningful experiences for our editorial board and a quality publication for our readers. thank you for your continued support. it has been an honor to serve as the editor-in-chief of the columbia undergraduate science journal for this past year. – ritish patnaik microsoft word sentiment analysis election paper cusj (v2) sentiment analysis of tweets to gain insights into the 2016 us election tim hamling, ankur agrawal department of computer science, manhattan college, new york abstract — social media use is at an all-time historic high for the united states, so we considered one popular social media platform, twitter, and tried to see if we could predict how a group of people felt about an issue by only using posts from social media. for our research, we looked at tweets that focused on the 2016 united states presidential election. using these tweets, we tried to find a correlation between tweet sentiment and the election results. we wrote a program to collect tweets that mentioned one of the two candidates, then sorted the tweets by state and developed a sentiment algorithm to see which candidate the tweet favored, or if it was neutral. after collecting the data from twitter and comparing it to the results of the electoral college, we found that twitter sentiments corresponded with 66.7% of the actual outcome of the electoral college. the overall sentiment of all tweets collected leaned more positively towards donald trump than it did for hillary clinton. using the data that was collected, we also looked at how different geographical locations affected a candidate’s popularity, analyzed what issues were most prevalent in tweets, and looked at the ratio of a state’s population versus the number of tweets gathered. i. introduction in united states politics, 2016 was an important year because it was an election year for the nation. the two presidential candidates were donald trump for the republican party and hillary clinton for the democratic party. as the days grew closer to november 8th, election day, many news outlets believed that the race between the two candidates was extremely close, with sites such as fivethirtyeight reporting that the election could be a toss-up for either candidate [1]. the united states’ presidential elections work using an electoral college, meaning that each state has a certain number of electors who will vote for a candidate. voters cast their vote for these electors, meaning that popular vote does not always decide the outcome [2][3]. this makes predicting the election’s outcome difficult, so leading up to election day, political scientists looked to polling data as well as computer analysis programs to try and see which candidate was poised to win. the nature of the election, as well as the two candidates themselves, was widely discussed across both the united states and other countries in the world [4]. debates and conversations about the candidates and their policies most certainly happened verbally, but people also took to social media to voice their opinions about the election. this is no surprise, especially due to the current usage of social media sites such as facebook, with 1.79 billion monthly active users [5], and twitter, with around 313 million monthly active users [6]. in addition to these platforms, the rising popularity of sites such as snapchat, with 150 million daily active users [7], and instagram, with 500 million monthly active users [8], also contributed to social media conversations. analyzing social media users’ activity to determine what people are talking about is quite easy because many people, when posting to social media, make their posts and activity public for anyone to see. twitter is a social media service that allows users to post “tweets” to the site [9]. these can either be viewed publicly by anyone who wishes to see, or can be made private so that only people who have been allowed to follow a user can see that person’s tweets. regardless of the privacy, one of twitter’s features is that each tweet is limited to 140 characters, which includes whitespace characters, non-ascii text, or links to web pages or images [10]. while this may seem like an odd restriction, it was adopted to work in conjunction with sms messaging services, and has stuck around because it forces users to get to the point and only focus on providing important details in their tweet. due to the quick and concise nature of tweets, some classify the social media site as a news media site [11]. per research done by the research group statista, as of quarter 3 in 2016, twitter has approximately 317 million monthly users. the monthly user base has been rising since twitter’s creation in 2006, but has slowly leveled off around the 300 million user mark since early 2015 [12]. another key feature of twitter is its use of hashtags, represented by a pound sign (#) preceding a word or phrase. these are used within tweets by a user to identify different topics or keywords present within the tweet. then, other users could search other instances of that specific hashtag to see other tweets that match that topic. for example, during breaking news stories, hashtags are helpful because they allow a user to search and filter for tweets that discuss that news story. as twitter has evolved, it is now possible for users to search by keywords that are not marked with a hashtag. this allows others to search for a work and receive a listing of all tweets that mention or use that word. in this study, we set out to see if we could predict the results of the 2016 united states presidential election by looking at tweets that mention either candidate, and analyzing them to determine an overall sentiment. this sentiment could be leaning in favor or against either candidate. for this study, we sought to collect any tweets that were posted in the days leading up to the united states election that openly mentioned either of the two candidates by name. we then aimed to map these tweets, along with their sentiments, to locations, either within the united states or from foreign countries. for locations within the united states, we mapped each tweet to one of the states in the us, which was determined based on a user’s location description tag. finally, we collected the total number of tweets from a state and looked at the ratio of positive/negative tweets for each candidate to determine how that state, overall, feels about each candidate. these results would then be checked against the official results of the election, and we could then see if the way a state voted in the electoral college matched the prediction we made about it based on that state’s tweet sentiment. sentiment analysis of twitter data is not a new field. pang and lee worked on creating algorithms to facilitate opinion mining and word analysis in their 2008 study [13]. researchers such as go, huang, and bhayani conducted a study in 2009 to train a sentiment algorithm to detect a tweet’s positivity about a certain subject by using emoticons [14]. pak and paroubek expanded upon this in 2010 by using the subjectivity and objectivity of words in conjunction with a tweet’s structure to create a classifier that could use collected data to determine a tweet’s sentiment [15]. we decided to create our own sentiment algorithm that used a collection of words, each with its own sentiment value, to analyze tweets about the two candidates. we also used the data collected to see what issues were most discussed in the week leading up to the election. using a list of popular political issues during elections [16], we searched through our collection of tweets to see if any of these issues were being mentioned, and counted which issues were discussed most frequently. these totals were then mapped to each state, so we could then see which states talked about which issues most, and try to find correlations between the issues being discussed and the results of the election in that state. ii. methods our methodology composed of collecting tweets and associated metadata from twitter and performing a sentiment analysis on each tweet. we developed a few algorithms and implemented them using the java and perl programming languages to access the tweets, clean them, perform a sentiment analysis and aggregate the results. to collect data, we developed an algorithm that implemented the twitter4j library [17]. this algorithm searched through all publicly posted tweets that mentioned, by name, either of the two presidential candidates, and stored all the tweets that matched these criteria in text files. our search words were “clinton”, “hillary”, and “trump”. we did not include “donald” as a search word because it is a common name and could result in too many results that did not relate to the election. when we stored the tweets in the files, we included the tweet’s text, the handle/username of the poster of the tweet, the timestamp of when the tweet was posted (using est), the location provided by the user’s twitter bio, and a number representing which state (if any) corresponded to this location. these state numbers were determined using a database, explained in the next paragraph. each tweet in the file, and the tweet’s corresponding info, was separated from the next tweet by a series of dashes (-----). an example of how the tweet is laid out is shown in fig. 1. line numbers were included in this figure to aid in readability. data from twitter was collected for the week leading up to the us presidential election on november 8th. we separated the data by the date the tweet was posted, so we ended up with eight files containing tweets, one file for each day from november 1st to november 8th. figure 1. example layout of a tweet in our data file with line numbers added in manually after collecting the data, we began to analyze the tweets. first, we developed an algorithm to determine the state that the tweet corresponded with. to sort tweets, we looked at the location tag provided by the tweet’s user. we parsed it for any mention of a us state, either by full name or abbreviation. if a state was found, the tweet was given a number representing that state. for example, alabama was given a value of 00, alaska got 01, arizona got 02, and so on. washington dc was also included, and was given its own value. in addition, if we detected a location origination from mexico, canada, or great britain we gave that tweet its own unique location number. these countries were included in our analyses so that we could see what people outside of the us were tweeting in regards to the election. if no us state or outside country was detected by name, then we parsed the location line for a town name. we used a database provided from simplemaps.com to match town names to states [18]. the database includes all unites states towns and their matching states. if our algorithm detected multiple states associated with one town name, then we excluded that dataset. any tweets that did not match with any state or did not have a location line were given a state value of -1 to signal that it was a tweet without a location. we still ran our algorithm on these tweets to see what results it would come up with. the sentiment analysis of our algorithm was only run on tweets that exclusively mentioned either candidate; tweets that mentioned both candidates were excluded from this portion of the algorithm. sentiment was determined using the sentiment wordmap file from sentiwordnet with some modifications and additions to words associated with the election [19]. this sentiment file has a positive or negative score associated with each word. for positive words, values ranged from +0.0625 to +1.0; for negative words, values ranged from -0.0625 to -1.0. for example, a somewhat positive word like “helpful” would receive a value of +0.125 from the sentiment algorithm, or a strong negative word like “unhappy” would receive a value of -0.25. neutral words like “a” or “the” were given neutral values of 0.0. since these words would not affect the score, we decided to remove all neutral words from the file to improve the efficiency and 1 @katastrophy1951 trump only wants to take care of the girl and make sure she is not hurt anymore. said he's worried about her not his star. 2 katastrophy1951 3 1 nov 2016 05:46:02 gmt 4 seattle ,wa. 5 46 6 ---- speed of our algorithm. when our algorithm encountered a word in a tweet that was not in our sentiment file, it defaulted to giving it a neutral value of 0. another function we implemented was recognition of negation words like “not” or “don’t.” our algorithm would detect these words as negations, and flip the value of the next word. so, while “good” may return a value of +0.375, “not good” would return -0.375 because the algorithm recognized “not” as a negation word. in addition to these functions within our algorithm, we wanted to further refine the sentiment word file. we went through the file by hand and removed or modified words that had inaccurate values. we also did sample testing on tweets from our data to see if the values of any words needed to be changed. for example, the word "investigation" was given a negative score because, in the context of the election, an investigation is never something good. sometimes, words had to be added to the file. the word “wikileaks” was not included in the file originally, but we decided to add it and give it a negative value because it is normally associated with a scandal or something negative. other words were completely removed from the sentiment file. for example, the word “trump” was taken out of the file. this was done because this verb had a positive value in the file, but since “trump” is the name of one of the candidates, we had to remove it to prevent erroneous data. another aspect of our algorithm included scanning a tweet for different hashtags or phrases that would automatically indicate it as a positive or negative tweet. if a tweet included “#maga”, “crooked hillary”, “lock her up”, or “#trumptrain” then we knew for sure that it would be a positive tweet for trump and a negative tweet for hillary. on the other side, if a tweet contained “i’m with her”, “madame president”, “dump trump”, or “stronger together” then we could know for sure that it would be a positive tweet for clinton, and a negative tweet for trump. hashtags and key phrases were collected from top-hashtags, which aggregated data from twitter, facebook, instagram, and tumblr [20]. to further refine our results, we looked to remove any duplicate tweets. sometimes, multiple news organizations tweet a link to the same article, and use that article’s headline as the content within the tweet. this can be seen in this tweet by @collectedn that states “the campaign tour: pop musicians get on the bus (mostly clinton’s) https://t.co/b6cpxuz6nf” [21] and this tweet by @thetablenz that states “the campaign tour: pop musicians get on the bus (mostly clinton’s) https://t.co/srx84kvxpa” [22]. both are linking to an article published by the ny times, and use the same headline as the tweet body. the only difference is the url that the tweet links to. when our algorithm collected tweets, it would save the entire tweet body, which includes any urls. to remove duplicate tweets, such as these posts about news articles, we decided to remove any urls from the tweets so that we could compare the raw text of each tweet. we then got rid of tweets that contained identical text, leaving us with only one copy. this improved our results by preventing repetitions within our data. using the sentiment file in addition to our updates, our algorithm would take a tweet and break it apart into words. next, it would give each word a value per the sentiment file. after each word had a score, the algorithm summed up all the scores to determine the overall sentiment of the tweet. we counted tweets that had a score above 0.0 as positive tweets, tweets that had a score below 0.0 to be negative tweets, and tweet with a score of 0.0 as a neutral tweets. an algorithm was also developed to see what topics were most widely discussed throughout our collection of tweets. to do this, we looked at topics discussed during the 2016 election, using research from political science sites such as fivethirtyeight [23] and pew research center [24], as well as polls conducted by the new york times and the washington post [25]. we settled on 10 different issues: economy, education, election problems, environment, foreign policy, guns, healthcare, immigration, social, and trade. the full list of words we used to cover each topic is shown in fig. 2. figure 2. list of keywords used when searching for different topics within tweets iii. results table 1 shows our results from the data that we collected. tweets from the 50 us states are listed first, followed by tweets from washington dc, then canada, then great britain, and finally mexico. tweets that did not include locations are listed under n/a. each state’s electoral outcome is shown in the far-right column. these results were gathered from the new york times [26]. there are two us states that do not give all their electoral votes to the winner of that state, and these two states economy: job market, minimum wage, stimulus, economy, taxpayers education: common core, tuition, fafsa election: voter fraud environment: greenhouse, global warming, climate, pipeline, drilling, fracking, nuclear, solar foreign policy: syria, isis, israel, patriot act, surveillance, al qaeda, iran, middle east guns: regulation, no-fly, concealed, carry law, bernardino, pulse healthcare: obamacare, medicare, medicaid, health care, vaccination, affordable care immigration: mexico, muslim, boarder wall, immigrant, refugee, xenophobia, daca, dapa, h1b social: parenthood, abortion, lgbtq, racism, feminism, homosexual, gender, religion, gay marriage trade: tpp, nafta, import, export, trade, business table i. correlation between tweet sentiment by state and electoral college result are maine and nebraska. in these states, congressional districts decide several electoral votes while the remaining are given to whichever candidate gets more votes in that state [27]. in the 2016 election, maine was the only state to split its votes in this manner. it awarded three electoral votes to hillary clinton, who won the popular vote of the state as well as a congressional district, and 1 electoral vote to donald trump for winning a congressional district [28]. the remaining 49 states and washington dc cast their electoral votes entirely for either donald trump or hillary clinton. state clinton tweets % pos (clinton) % neg (clinton) trump tweets % pos (trump) % neg (trump) twitter results elect. college correct prediction total 2810051 39.6% 45.7% 4044162 43.2% 42.2% trump trump yes al 13931 37.2% 48.9% 14650 45.7% 39.4% trump trump yes ak 3404 45.7% 39.7% 2924 42.8% 42.7% clinton trump no az 19111 37.3% 49.4% 20333 44.7% 42.9% trump trump yes ar 6272 39.1% 46.6% 6917 44.5% 41.6% trump trump yes ca 103818 40.6% 45.7% 155246 42.6% 44.0% trump clinton no co 18434 39.8% 47.0% 23128 42.4% 44.1% trump clinton no ct 10515 41.0% 45.0% 15397 42.1% 44.0% trump clinton yes de 1613 41.7% 43.5% 2641 40.0% 45.4% clinton clinton no fl 84085 37.6% 48.3% 108133 44.6% 40.9% trump trump yes ga 27977 39.3% 47.4% 35206 44.6% 41.5% trump trump yes hi 4267 37.4% 49.5% 5298 48.4% 38.8% trump clinton no id 3429 34.5% 53.0% 4454 43.2% 43.9% trump trump yes il 24821 41.5% 45.0% 35979 42.7% 44.1% trump clinton no in 37409 40.2% 45.6% 56576 42.5% 43.4% trump trump yes ia 5808 41.1% 45.3% 8149 43.5% 43.3% trump trump yes ks 6244 39.9% 45.7% 8788 43.4% 43.9% trump trump yes ky 10280 37.0% 50.1% 12817 45.5% 41.4% trump trump yes la 18136 35.5% 44.7% 25244 37.6% 40.6% trump trump yes me 7152 38.6% 45.5% 10395 41.4% 42.9% trump clinton no md 19105 42.8% 44.7% 12763 44.4% 41.8% trump clinton no ma 29621 43.4% 43.1% 19251 42.0% 44.4% clinton clinton yes mi 23349 40.4% 44.3% 33935 43.8% 41.7% trump trump yes mn 10004 42.7% 43.4% 17207 44.5% 42.0% trump clinton no ms 5679 37.5% 47.8% 6033 44.0% 39.5% trump trump yes mo 14574 38.7% 48.4% 17740 44.7% 42.4% trump trump yes mt 3697 34.6% 50.5% 4050 42.9% 43.1% trump trump yes ne 3992 39.5% 45.5% 5586 43.5% 42.3% trump trump yes nv 13664 38.1% 48.8% 17184 44.6% 42.6% trump clinton no nh 4704 40.3% 45.8% 6300 44.7% 41.8% trump clinton no nj 24578 39.3% 47.3% 35938 42.5% 43.8% trump clinton no nm 4596 39.0% 48.7% 6127 43.7% 43.4% trump clinton no ny 87549 42.6% 43.2% 136087 42.7% 44.1% clinton clinton yes nc 28432 41.0% 45.8% 37555 44.7% 42.6% trump trump yes nd 1196 38.1% 49.2% 1338 47.8% 40.7% trump trump yes oh 29317 41.1% 45.2% 39320 43.7% 42.6% trump trump yes ok 9847 39.9% 45.4% 10429 44.5% 41.5% trump trump yes or 14058 40.4% 47.2% 21570 43.1% 44.9% trump clinton no pa 32602 40.9% 45.5% 45773 44.8% 41.8% trump trump yes ri 2812 40.5% 46.7% 4472 42.9% 45.0% trump clinton no sc 13313 38.7% 47.2% 15496 44.3% 40.3% trump trump yes sd 1204 41.4% 44.3% 1512 45.2% 40.1% trump trump yes tn 16916 38.8% 48.4% 19025 46.0% 40.1% trump trump yes tx 80770 37.6% 48.2% 98815 44.4% 42.0% trump trump yes ut 4984 42.0% 43.3% 7027 44.2% 40.7% trump trump yes vt 1726 44.0% 44.2% 2653 42.5% 47.3% clinton clinton yes va 26620 38.1% 49.2% 32515 44.3% 42.8% trump clinton no wa 21189 41.5% 45.1% 29288 42.4% 44.7% trump clinton no wv 4753 38.8% 47.6% 5544 45.4% 41.6% trump trump yes wi 11657 41.8% 44.2% 15866 43.4% 42.8% trump trump yes wy 1254 41.1% 48.8% 1638 46.5% 41.9% trump trump yes dc 34016 45.0% 39.3% 52744 43.0% 41.8% clinton clinton yes can 43087 40.2% 44.4% 74136 41.6% 44.1% trump n/a n/a gb 51657 44.7% 41.0% 98721 44.3% 41.5% clinton n/a n/a mx 6751 19.7% 25.2% 11444 19.0% 28.2% clinton n/a n/a n/a 1720072 36.5% 42.8% 2546805 38.8% 40.0% trump n/a n/a the majority of maine’s electoral votes went to hillary clinton, and because she won that the popular vote there as well, we marked maine as being won by hillary clinton. to understand if our results matched with those of the electoral college, we compared the percentage of positive tweets for each candidate per state to one another, as well as the percentage of negative tweets for each candidate per state. a candidate’s “favorability” was found by subtracting the percentage of negative tweets for that candidate in a state from the percentage of positive tweets for that candidate in a state. each candidate’s favorability value per state was compared, and the candidate with the higher favorability in that state was marked under the “twitter results” column. from table 1, we can see that our sentiment showed more tweets being positive towards trump and negative towards clinton. overall, there were only five states plus washington d.c. that had a higher favorability for clinton than trump. the five states were alaska, delaware, massachusetts, new york, and vermont. four of these five states were in the north-eastern region of the united states. in addition, alaska, which was the only non-atlantic state to support clinton on twitter over trump, ended up casting its electoral votes for donald trump in the election. table 1 also shows which states tweeted most, or had the highest percentage of positive or negative tweets. for both candidates, california and new york were the two states that tweeted about each candidate the most. it makes sense for california to have the most total tweets about each candidate since it is the state with the highest population in the united states. we decided to see if the population of a state had any effect on the tweet count coming from that state, so we decided to plot the total number of tweets from a state, and then compared it to the state’s population. data was gathered using 2016 us census counts [29], and results are shown in table 2. these results are listed in order of descending population. fig. 3 shows that there is a correlation between state population and tweet count. the linear growth of the graph shows that there is a somewhat constant ratio between state population and tweet count. table ii. comparison of state population to tweet counts state population total tweets ca 39250017 184588 tx 27862596 164855 fl 20612439 171634 ny 19745289 120151 pa 12802503 57423 il 12801539 54138 oh 11614373 57294 ga 10310371 56409 nc 10146788 51781 mi 9928301 47927 nj 8944469 51198 va 8411808 47809 wa 7288000 40300 az 6931071 48732 ma 6811779 46537 tn 6651194 54325 in 6633053 51983 mo 6093000 33679 md 6016447 30762 wi 5778708 30091 co 5540545 28438 mn 5519952 23317 sc 4961119 27244 al 4863300 32067 la 4681666 28416 ky 4436974 24338 or 4093465 23905 ok 3923561 20362 ct 3576452 16323 ia 3134693 10792 ut 3051217 10663 ms 2988726 11951 ar 2988248 19936 nv 2940058 19908 ks 2907289 10840 nm 2081015 8588 ne 1907116 8745 wv 1831102 8182 id 1683140 7696 hi 1428557 8971 nh 1334795 11856 me 1331479 9964 ri 1056426 6509 mt 1042520 5310 de 952065 2817 sd 865454 2400 nd 757952 4600 ak 741894 37420 dc 681170 35742 vt 624594 2980 wy 585501 1254 figure 3. graph plotting state population vs tweet count, with line of best fit in addition to looking at the 50 states and washington d.c., we also looked at how other countries discussed the two candidates. canada had far more tweets that discussed trump than those that discussed clinton, about 74,000 compared to 43,000. however, the positive and negative percentages were about the same between each candidate, with 40% to 41% of tweets being positive for clinton and trump respectively, and 44% of tweets being negative for both. great britain was similar, having about 51,000 tweets about clinton compared to 98,000 tweets about trump. the positive percentages for clinton and trump were both around 44%, while clinton had 0 50000 100000 150000 200000 250000 0 20000000 40000000 60000000 a slightly lower negative percentage of 40% compared to trump’s 41%. in mexico, the positive and negative percentages were both lower than anywhere else, but this is likely since many of these tweets were written in spanish, and our algorithm used an english dictionary to operate. states that had a calculated favor that matched their electoral college votes were marked with a green highlight under the final column, “correct prediction” in table 1. out of the 50 states, plus washington dc, the sentiment on twitter for 34 states correctly aligned with the electoral college’s outcome for that state, resulting in an accuracy of about 66.7%. we wanted to see if the geographical location of a state affected how it voted in the election. to start, we had to divide the 50 states into regions. we looked for different maps that showed various ways to section off the united states, and finally settled on a map with the following five regions: northeast (me, vt, nh, ri, ct, nj, ny, pa), southeast (md, de, dc, wv, va, ky, tn, nc, sc, ar, la, ms, al, ga, fl), midwest (nd, sd, mn, wi, mi, ne, ia, il, in, oh, ks, mo), southwest (az, nm, ok, tx), and west (ak, hi, wa, or, id, mt, wy, ca, nv, ut, co). after combining state results from each state by region, the results are shown in table 3. in addition to the results in table 1, we were also able to see what issues were most discussed by each state leading up to the election. in table 4, we show the percentage of issues discussed by states that were, per the electoral college vote, won by donald trump. in table 5, we show the percentage of issues discussed by states that hillary clinton won. column one lists the abbreviation for each state, and column two lists the total number of tweets from that state that mentioned one of the issues we searched for. from there, the remaining columns each list the percentage of that total that relate to each issue. from table 4, we can see that out of the 30 states that donald trump won in the election, the most frequently discussed issues were immigration and foreign policy. trade issues and social issues were also discussed often, as well as gun issues, healthcare, and environmental issues. finally, economic issues and election issues were discussed the least often, and education was barely discussed in any tweets. table 5 shows that out of the 21 states that hillary clinton won in the election, the most frequently discussed issues were immigration and foreign policy, which matches the discussion trends for states that voted for trump. following this, foreign policy, social issues, and trade issues were the next most discussed topics. environment, guns, and healthcare were tweeted about less often than these, while economic and election issues were talked about even less frequently. finally, education issues were talked about very minimally throughout our tweets. this data shows that, overall, the candidate that a state voted for had little impact on which issues were most talked about by that state. table iii. division of twitter results by geographic location table iv. issue discussion percentage on states that donald trump won in the electoral college state total economy education election environment guns healthcare immigration foreign social trade al 1531 5.0% 0.3% 3.6% 7.1% 10.3% 8.0% 21.2% 17.1% 15.6% 11.9% ak 352 2.8% 0.0% 1.7% 10.8% 9.9% 7.7% 20.7% 16.5% 15.1% 14.8% az 2954 3.9% 0.3% 3.0% 7.8% 9.3% 8.4% 21.4% 17.7% 14.4% 13.9% ar 787 3.0% 0.4% 3.6% 9.8% 11.4% 8.1% 18.9% 17.3% 16.9% 10.5% fl 13178 3.8% 0.2% 3.0% 7.7% 9.1% 8.5% 20.9% 18.5% 12.9% 15.4% ga 3719 3.7% 0.1% 2.6% 6.9% 11.5% 8.7% 20.4% 15.9% 14.6% 15.5% id 430 2.6% 0.0% 1.9% 7.0% 7.4% 9.3% 23.5% 14.4% 19.5% 14.4% in 5680 3.5% 0.3% 2.3% 7.9% 9.7% 6.0% 18.9% 22.7% 17.1% 11.6% ia 681 3.1% 1.0% 3.2% 9.8% 9.8% 8.1% 22.9% 13.5% 16.3% 12.2% ks 873 2.2% 0.1% 1.9% 6.8% 11.5% 5.6% 18.2% 21.0% 20.0% 12.7% ky 1224 2.6% 0.2% 3.6% 7.0% 10.2% 8.4% 19.9% 18.3% 15.7% 14.1% la 2226 3.1% 0.2% 2.7% 7.7% 11.8% 6.9% 23.4% 17.8% 14.4% 11.9% mi 3277 2.8% 0.3% 1.6% 8.2% 9.9% 7.2% 16.9% 16.1% 16.3% 20.6% ms 567 3.0% 0.5% 3.0% 6.7% 10.9% 10.2% 18.0% 18.0% 18.0% 11.6% mo 1871 3.4% 0.1% 2.7% 6.6% 11.5% 10.6% 19.5% 16.5% 17.0% 12.1% mt 452 2.9% 0.0% 3.1% 6.4% 9.1% 6.6% 21.9% 22.8% 13.1% 14.2% ne 462 4.5% 0.6% 3.2% 10.2% 10.6% 6.7% 21.2% 14.1% 16.9% 11.9% nc 3757 4.4% 0.5% 2.4% 6.5% 13.7% 8.8% 19.1% 15.3% 16.4% 12.8% nd 123 0.0% 0.0% 0.0% 16.3% 18.7% 3.3% 22.0% 17.1% 10.6% 12.2% oh 3547 4.1% 0.4% 2.8% 12.2% 10.8% 7.1% 17.7% 13.5% 17.5% 14.0% region clinton tweets % pos (clinton) % neg (clinton) trump tweets % pos (trump) % neg (trump) total 2810051 39.6% 45.7% 4044162 43.2% 42.2% n.east 201259 41.7% 44.4% 276266 42.9% 43.6% s.east 311128 39.3% 46.6% 387283 44.0% 41.3% midwest 169575 40.7% 45.3% 241996 43.4% 42.9% s.west 114324 37.8% 48.2% 135704 44.4% 42.2% west 192198 40.3% 46.2% 271807 42.9% 43.8% ok 1033 3.8% 0.4% 2.5% 8.5% 9.7% 7.6% 21.4% 16.4% 18.2% 11.6% pa 4761 4.1% 0.3% 2.6% 9.2% 8.9% 9.1% 20.4% 14.7% 19.3% 11.4% sc 1573 4.6% 0.3% 2.2% 6.3% 8.9% 9.3% 19.0% 17.9% 20.9% 10.7% sd 158 5.1% 0.0% 1.9% 7.0% 15.8% 9.5% 21.5% 11.4% 10.1% 17.7% tn 1983 3.8% 0.1% 2.7% 7.2% 10.8% 9.7% 20.0% 17.2% 15.3% 13.2% tx 10846 4.3% 0.3% 3.1% 7.2% 9.6% 8.0% 22.2% 17.4% 15.3% 12.5% ut 614 2.4% 0.3% 2.1% 10.9% 10.9% 8.5% 19.4% 15.3% 17.6% 12.5% wv 541 4.4% 0.2% 1.8% 5.4% 13.1% 10.5% 20.0% 14.4% 16.5% 13.7% wi 1484 4.9% 0.5% 3.7% 10.3% 12.7% 9.6% 17.4% 13.2% 15.3% 12.5% wy 180 3.9% 0.0% 1.1% 9.4% 8.3% 8.9% 26.7% 18.3% 8.9% 14.4% table v. issue discussion percentage on states that hillary clinton won in the electoral college state total economy education election environment guns healthcare immigration foreign social trade ca 17593 4.1% 0.2% 2.4% 9.6% 9.3% 7.6% 20.4% 17.1% 15.2% 14.0% co 2593 2.9% 0.2% 2.5% 10.9% 9.3% 7.4% 19.5% 16.7% 16.6% 14.1% ct 1313 4.4% 0.5% 2.6% 7.9% 10.7% 8.5% 17.6% 17.0% 15.8% 14.9% de 1633 2.6% 0.1% 1.0% 7.2% 6.7% 5.3% 29.3% 28.8% 11.8% 7.1% hi 547 4.6% 0.4% 4.6% 8.8% 8.8% 8.6% 19.4% 19.7% 13.5% 11.7% il 3356 3.9% 0.2% 1.9% 9.7% 10.3% 9.1% 19.3% 15.6% 17.3% 12.7% me 900 2.1% 0.3% 1.0% 10.1% 12.0% 8.2% 19.2% 17.3% 16.6% 13.1% md 1823 3.9% 0.2% 2.4% 8.9% 10.3% 6.3% 22.2% 13.5% 18.7% 13.7% ma 2894 4.5% 0.3% 2.0% 10.4% 9.8% 7.6% 21.1% 15.3% 16.7% 12.3% mn 1561 4.2% 0.2% 2.5% 9.4% 10.5% 7.2% 21.7% 12.6% 14.3% 17.3% nv 2180 2.9% 0.5% 1.8% 7.2% 9.7% 7.9% 20.9% 23.8% 10.9% 14.3% nh 850 4.5% 0.1% 2.2% 10.4% 7.9% 5.8% 14.6% 10.8% 10.5% 33.3% nj 3768 3.1% 0.3% 2.0% 8.2% 9.5% 7.8% 21.7% 17.8% 15.8% 13.8% nm 923 2.7% 0.0% 5.4% 8.7% 8.5% 4.4% 30.6% 14.1% 12.6% 13.1% ny 16730 4.0% 0.2% 1.8% 9.4% 9.2% 8.3% 21.9% 16.1% 14.8% 14.3% or 2080 4.0% 0.4% 2.8% 10.6% 10.1% 7.4% 20.4% 13.9% 16.7% 13.7% ri 398 6.5% 0.3% 2.0% 9.0% 13.3% 7.5% 18.6% 12.1% 14.8% 15.8% vt 294 3.4% 0.7% 0.7% 18.4% 7.8% 11.9% 13.9% 9.9% 22.1% 11.2% va 3336 3.6% 0.2% 2.3% 8.2% 10.2% 7.6% 19.3% 20.3% 15.0% 13.3% wa 2982 3.0% 0.2% 2.6% 11.0% 9.9% 6.0% 19.8% 17.8% 15.6% 14.1% dc 6757 3.7% 0.1% 1.8% 10.9% 8.4% 11.5% 22.1% 14.3% 14.6% 12.5% iv. dicussion the goal of this study was to determine if the sentiment on twitter for the 2016 election matched with the electoral results of the election. our results showed us that results from twitter sometimes matched, but were not always accurate with the results of the electoral college. of the 50 states plus washington dc, 34 states had results from twitter that matched their electoral college results. of the states that twitter correctly predicted, the only state that supported hillary on twitter but voted for trump was alaska. there were 29 states, alabama, arizona, arkansas, florida, georgia, idaho, indiana, iowa, kansas, kentucky, louisiana, michigan, mississippi, missouri, montana, nebraska, north carolina, north dakota, ohio, oklahoma, pennsylvania, south carolina, south dakota, tennessee, texas, utah, west virginia, wisconsin, and wyoming, all voted for trump in the election and showed more support on twitter for trump as well. there were five states, including washington dc, that backed hillary clinton in our finding as well as in the election. these states were delaware, massachusetts, new york, vermont, and washington dc. this leaves 17 states that voted for clinton yet supported trump more on twitter: california, colorado, connecticut, hawaii, illinois, maine, maryland, minnesota, nevada, new hampshire, new mexico, oregon, rhode island, virginia, and washington state. when looking at states that had differing results on twitter, there were more states that voted for clinton yet supported trump on twitter than states that voted for trump yet supported clinton on twitter. of the 30 states that trump won in the election, twitter sentiments matched for 96.7% of them. for clinton’s 20 states plus d.c., twitter sentiments matched 28.6% of the state results. comparing these percentages shows that, while overall the twitter sentiments lined up with state results 66.7% of the time, most of this percentage came from states that supported donald trump on twitter as well as in the election. these results point to twitter being either more positive towards donald trump, more negative towards hillary clinton, or both. in fact, donald trump was discussed in tweets far more often than hillary clinton was; there was not a single state that tweeted about hillary clinton more than donald trump. although this does not correlate to an increase in positive tweets for trump, it could certainly be a factor. a final piece of evidence is that, per our tweet analysis, donald trump had a higher total favorability rating than hillary clinton. the percentage of positive tweets for trump was 43.47% while clinton had a lower percent, with 40.03% of tweets about her being marked as positive. hillary clinton’s negative tweet percentage was 46.03%, which is a bit higher than donald trump’s 42.71%. by looking at the most discussed issues, we can see that issues relating to the two candidates was by far the most discussed out of any of the topics. this is likely because, if someone is going to be tweeting about a candidate, there is a high chance that they will be talking about something related to that candidate, such as an issue or scandal revolving around the candidate. following this, immigration was the next most discussed topic, which again makes sense because it was a very heavily discussed topic during the election. news sources such as usa today claimed “immigration at front of 2016 presidential race” and our data shows this is likely true per twitter [31]. there are many reasons for why the correlation is not fully accurate and leaned heavily towards trump as opposed to clinton. firstly, our sentiment algorithm is not perfect when used to analyze the word structure. it works by summing up values of individual words, but cannot detect the sentiment from complex word clauses or phrases consisting of multiple words. one example of this is the following tweet by twitter user @buttonlol who tweeted “another example of above the law… hitlerary [sic] clinton…” [32]. although this tweet is understood to be negative towards clinton by the usage of the phrase “above the law,” the three words that make up that phrase carry little to no connotation on their own, and thus our sentiment algorithm would be unable to classify it as negative. in addition, we only dealt with tweets that exclusively mentioned a candidate. if a tweet were to mention both trump and clinton, our algorithm could not identify who the subject was or who to give the sentiment score to, so we discarded all these tweets. if we could include these tweets and isolate which candidate the tweet was focusing on to attach a sentiment, the numbers for both candidates would certainly be changed. whether this would balance out the results or further increase the divide is unknown, but it would certainly make the results much more accurate. sarcasm is another weakness of our algorithm, and when testing, we saw that it was impossible for our algorithm to detect sarcasm at this stage. one example of sarcasm is a section from a tweet by twitter user @followingleads who tweeted “…nice unbiased piece on trump today…” [33]. out of context, it appears this tweet is supporting an article posted about trump. however, this tweet was posted as a sarcastic response to an anti-trump journalist. this context can be determined by looking at who the tweet was directed at, as well as reading into the rest of the tweet, where @followingleads writes that this is sarcastic praise. a computer would not be able to determine this sarcasm. in addition, since tweets can be posted by anyone and have no quality or content assurance, spelling and grammar is not guaranteed to be fully accurate, so if key words were misspelt, they could be ignored or incorrectly analyzed by our algorithm. one example is the following tweet by user @komptonmusic who tweeted “i'm suddenly voting hilary [sic]” [34]. in this tweet, the user misspelt hillary clinton’s first name, which means that our searching algorithm did not pick it up at all. if the algorithm had seen the spelling error and collected the tweet, then it would have most likely been counted as an additional positive tweet for clinton. looking at related studies shows similar trends. one study by kunal jagtap [35] showed that, per tweets collected for 5 days, donald trump was tweeted about negatively more than hillary clinton was. however, other algorithms and systems that used a wider field of data came up with different results. an ai system named “mogla”, created by sanjiv rai [36], took in data from numerous social media platforms, such as google, facebook, twitter, and youtube, and used this information to come up with a conclusion. rai’s system found that people were engaging more with content related to donald trump than they were with content from hillary clinton, and in the past three elections, the candidate with more engagement ended up winning the election. from this, rai’s ai determined that donald trump would win the election over hillary clinton. in our study, we found that there was a total of 4,044,162 tweets originating from the united states that exclusively mentioned donald trump, and a total of 2,810,051 tweets originating from the united states that exclusively mentioned hillary clinton. though most predictions showed clinton winning the election, trump ended up with the victory. one of the main reasons for why twitter was not able to accurately predict these election results is because it is not a good sample of the population. results from twitter are only showing the sentiments of those who are actively using the platform. not every american uses twitter, and in addition, discussions about the candidates on twitter do not always correlate to how people vote. v. conclusion twitter is used globally by millions of users, and discussions on the social media platform can sometimes be used to see what the public’s opinion is regarding a certain issue. after collecting tweets about the us presidential election and analyzing them to determine how people viewed the two candidates, we saw that the sentiment according to twitter was somewhat accurate. if sentiment analysis algorithms are improved and further developed, they could be used to predict election results in the future. references [1] n. silver, “election update: the how-full-is-this-glass election,” last modified november 2, 2016, http://fivethirtyeight.com/features/election-update-the-how-full-isthis-glass-election/ [2] “what happens if the us presidential election is close?” reuters, last modified november 4, 2016, http://www.hindustantimes.com/world news/factbox-what-happens-if-the-u-s-election-is-close/storyzpb0gvmqtvrkakqtcymzik.html [3] j. uscinski, “the real presidential election is in december when the electoral college votes,” last modified november 7, 2016, http://www.miamiherald.com/opinion/op-ed/article113171073.html [4] s. reich, “what will the us presidential election mean for europe?” http://blogs.lse.ac.uk/europpblog/2016/11/01/trump-clinton-natoeurope/ [5] “number of monthly active facebook users worldwide as of 3rd quarter 2016 (in millions)” https://www.statista.com/statistics/264810/number-of-monthly-activefacebook-users-worldwide/ [6] “twitter usage / company facts” twitter inc., https://about.twitter.com/company [7] “number of daily active snapchat users from march 2014 to june 2016 (in millions)” https://www.statista.com/statistics/545967/snapchat-app-dau/ [8] “number of monthly active instagram users from january 2013 to june 2016 (in millions)” https://www.statista.com/statistics/253577/number-of-monthly-activeinstagram-users/ [9] “getting started with twitter,” twitter inc., https://support.twitter.com/articles/215585 [10] “posting a tweet,” twitter inc., https://support.twitter.com/articles/15367 [11] h. kwak, c. lee, h. 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[12] “number of monthly active twitter users worldwide from 1st quarter 2010 to 3rd quarter 2016 (in millions)” https://www.statista.com/statistics/282087/number-of-monthly-activetwitter-users/ [13] b. pang and l. lee, “opinion mining and sentiment analysis.” foundations and trends in information retrieval, vol 2, pp. 1-135. 2008. [14] a. go, l. huang, and r. bhayani, “twitter sentiment classification using distant supervision.” the stanford natural language processing group, 2009, https://wwwcs.stanford.edu/people/alecmgo/papers/twitterdistantsupervision09. pdf [15] a. pak and p. paroubek, “twitter as a corpus for sentiment analysis and opinion mining.” lrec, vol. 10, pp. 1320-1326. 2010. 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https://twitter.com/followingleads/status/794328035071705088 [33] @komptonmusic. twitter post. november 3, 2016, 7:51 pm. https://twitter.com/komptonmusic/status/794326138742972416 [34] k. jagtap, "2016 usa presidential election twitter sentiment analysis & topic modelling." linkedin pulse, april 5, 2016. accessed december 5, 2016, https://www.linkedin.com/pulse/2016usa-presidential-election-twitter-sentiment-analysis-jagtap [35] a. kharpal, “trump will win the election and is more popular than obama in 2008, ai system finds.” cnbc, october 28, 2016. accessed october 28, 2016. http://www.cnbc.com/2016/10/28/donald-trump-will-win-theelection-and-is-more-popular-than-obama-in-2008-ai-systemfinds.html microsoft word cusj 17.docx ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 17 abstract — in this experiment, we create and evaluate graphite-based 3d printing composite filament in hopes of determining its effectiveness as a conductive or semiconductive 3d printing material. with 3d printable materials becoming more relevant in materials construction, the development of a 3d printable transistor would be an invaluable invention. our results are from experiments we ran in our 3d printing lab with custom-made filaments using graphite powder in addition to the standard (non-conductive) pla. these results show that is indeed possible to create graphite infused filament with conductive properties. carbon is also a potential substitute for a semiconductor when in its single-layered graphene form. however, the attributes of the filament might not make a suitable replacement for conductive filament. these results show that graphite might have a place in a 3d printable transistors for the future. i. introduction with 3d printing becoming more popular, the need for a 3d printable transistor rises. being able to have a semi-conductive filament could lead to this development. the applications for a 3d printable transistor would impact space exploration the most. if astronauts could create any parts or devices they need in space, the need to bring extra parts would disappear. in turn, rockets would weigh less because the engineers would not have to pack copious back up devices. they would merely bring the filament needed to construct all the desired materials. companies like nasa and spacex have already put research into making a 3d printer that is functional in a zero-gravity environment. a 3d printer is the only equipment necessary to utilize the semi-conductive filament. therefore, further investment into the machines necessary to utilize this filament would not be required. thus, the 3d printable transistor would be available for use immediately, which helps cut down time to market. before discussing how the filament is created, some terminology that will be used in the paper must be explained as prerequisite knowledge. first, the most important is valence band. all atoms have what is known as a valence band, which is the highest energy level occupied by electrons. figure 1. this is the subatomic structure for a silicon atom. it has the first two energy levels filled, the blue and red bands. the green band is the valence band. it needs 4 electrons to be filled. silicon atoms have a unique subatomic structure that contains 14 electrons (figure 1). its valence band is indicated by green in figure 1. every atom wishes to either remove or fill the valence band. if the atom is closer to filling its valence band than losing it, it will try to get more electrons to fill it. otherwise, it will give away those electrons when it bonds with another element. the number of electrons needed to fill the valence band is determined by which band is being filled. silicon in specific needs eight electrons. this means silicon could either lose or gain four electrons. it is this property that makes silicon semi-conductive and a primary component in transistor fabrication. the experiments performed replaced silicon with graphite as our semi-conductive component. graphite is primarily made of carbon, which is in same periodic column as silicon. this means it possess a similar valence band structure to silicon. it is for this reason that many other labs have done research into using pla combined with graphite[2-3]. second, rho and resistivity are both important words to know. resistivity is a value that is unique to each material. it denotes the resistance of that material relative to its area and length. rho is used to denote resistivity in the equation (1). a stands for area, l is short for length, and r stands for resistance. length and area are the dimensions of the material being used. resistance determines how much electrical current will be prevented from flowing through a material when attached to an electrical source. (1) r = (ρ*l)/a third, pla is a type of plastic used in 3d printing. it is an important material used in the experiments. pla beads were used in the research. all filaments are made using beads. ii. methods experimental design this experiment utilized both qualitative and quantitative data. the first few trials used graphite and pla that was measured based on their mass. the last trials the materials were measured out based on volume instead of mass. in both the case of mass and volume, a set ratio was picked between graphite and pla before they were mixed and placed inside the filament extruder. the temperature and motor speed for each data point was picked and then kept constant during the filament extrusion. after the filament was extruded, qualitative analysis of the filament was taken before measuring its quantitative features. the quantitative data consisted of brittleness, mass, resistance, and conductivity. graphite based semi-conductive 3d printing filament matthew mann rutgers university ccr 240* *this is not the author’s present address cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 18 measurements/calculations the device used to make filament was a desktop filament maker as seen below. the structure of a desktop filament maker consists of a hopper for transferring materials into the device and a heating element for melting the plastic (figure 2). figure 2. diagram of a filament extruder. the device used to measure brittleness was a protractor. filament would be bent until it broke. the angle at the point of breaking determined how brittle a sample was. the device used to measure conductivity and resistance was a generic multimeter. the multimeter was set to continuity and had alligator connectors attached to the probes. the other end of the alligator connectors was connected to the filament sample. this read the resistance with an error of 0-1 ohms, which was caused by resistance of the alligator connectors. iii. results silicon could not be used in filament creation because it hardens when heated. during the first trials, larger sample sizes were used and measure the materials using a mass balance. we were able to find a ratio, based in mass, that created filament that was conductive. each test run was made with a ratio between pla and graphite. for example, one test run was made with 2 parts pla and the ratios tested were 2:1, 1:1, and 2:3. table 1 lists the actual amounts that were used. table 1. this table describes different trials. the first column describes the ratio between column two and three. the fourth column says if the filament produced was conductive. ratio pla(g) graphite(g) conductive 2:1 35.283 17.644 no 1:1 35.045 34.519 no 2:3 28.345 42.297 yes although the 2:3 ratio produced conductive filament it did not create it in a consistent manner. it also caused the extruder to clog with graphite. i observed that the reason this occurred was because larger amounts of pla and graphite. in other words, the concentration was not kept consistent once the materials entered the chamber of the desktop filament extruder. it was determined that the best way to handle this was to start measuring the plastic and graphite by volume instead of mass. this helps determine how much material needs to be added to the extruder to fill the chamber. also, the size of the samples was made smaller as well. this prevents pockets of graphite and pla from forming more frequently. the next five tests taken with these changes were better and produced consistent results. the data for these experiments can be seen below. the first two columns represent a ratio between the pla and graphite. the cumulative volume of this ratio had to be around 2-3 tsps for the results to be consistent. table 3 describes the ratios of pla and carbon used in the first two columns. the third column describes the temperature the materials were heated at while they were pushed through the filament extruder. column four is the brittleness of the filaments produced. this quality was measured by bending the filament until it broke. the value is how many degrees the filament bent until it broke (table 3). the sixth column is the conductivity of the samples. these results are indicated by a n(no) or a y(yes). the last column is the speed at which the filament was pushed out. these values range from 0-100 and indicate the percent of power being used. table 2. this table describes more trial runs. cond. is an abbreviation for conductivity. temp. is an abbreviation for temperature. pla carbon temp. (c) brittle. (°) cond. motor speed 1 1 195 35 n 5 1 2 195 18 n 5 1 2 195 18 y 10 2 5 195 12 n 5 1 3 175 2 y 5 qualitative observations were excluded from table 3, so i could delve into more detail here. the first, second, and fourth samples produced a filament whose texture was consistent. they were brittle and reflected some light. all samples were a black color, which was caused by the graphite. the third and fifth trials consistently produced conductive filament, but only in bursts. each successful result would be interrupted by a batch of hot mushy filament. mushy in this context is supposed to refer to a filament that does not take the shape of filament. rather it is more like a non-newtonian fluid, which in this case could also be compared to ketchup. this is why during the fifth experiment the temperature was turned down. this allowed those short bursts of non-conductive filament to retain a filament shape. the decrease in temperature had no effect on the conductive samples that were produced. it is important to note that regardless of the ratio placed inside the mixer, any conductive filament that was made had the same appearance. all of them were extremely smooth and brittle (figure 3). figure 3. conductive graphite filament sample. in table 3, the data shows that each sample had a different resistance and mass value. this data and two ________________________________________________________________________________ cusj 2019 __________________________________________________________________________________________ 19 key equations can be used to prove the difference in atomic structure between samples. the following explains how reached this conclusion. each equation has a reference number next to it for easy reference. the first equation was mentioned back in the introduction as equation (1). first the density of the sample is determined (2), m represents mass, l represents the length, and a represents the cross-sectional area. (2) ! = $ % × ' => ) = $ * × ' equation (2) is arranged so that length is found, so this is can be combined with and substituted into equation (1) to obtain (3). (3) + = , × $* × '=> . / = , × $* × 0 we will use a variant of (3) with a generalized subscript i representing each sample of table 3, named (4). (4) ./ = ,1 × $1 *1 × 01 now two versions of equation (4), assuming cross sectional area is constant due to the nature of the experiment, can be created with substitutions from table 3: (5) ,× $*× 0= ,2 × $2 *2 × 02 now (5) can now be manipulated to create (6). (6) 0× $2 02 × $= ,× *2,2 × * most samples are of a similar volume and similar mass. thus, we can assume the density of all samples are equal. line (7) represents this assumption. (7) *2 *= 1 using the above we can create the equation (8), (8) 0× $2 02 × $= ,2, which provides a way to study the percent difference of the resistivity of the samples rho values, against some base sample, here sample 1 of table 3. the percent difference was calculated relative to sample one, which is why sample 1 does not have a value associated with the fourth column of table 3. the results are shown in table 3, shown to the right. table 3. the table shows the resistance and mass for each piece of conductive filament. the third column is the percent difference between the resistivity of the sample 1 and the sample in the corresponding row. samples resistance mass % diff 1 59 0.104 n/a 2 80 0.146 4 3 184 0.366 11 4 443 0.327 139 5 352 0.27 129 6 123 0.373 42 7 179 0.288 9 8 165 0.776 63 9 172 0.243 25 10 97 0.288 41 11 184 0.223 45 12 85 0.298 50 13 86 0.263 42 14 63 0.237 53 15 87 0.284 46 16 137 0.218 11 17 374 0.211 212 18 76 0.234 43 19 37 0.167 61 20 64 0.202 44 21 43 0.206 63 22 84 0.173 14 23 67 0.217 46 24 107 0.197 4 25 135 0.206 16 along with quantitative analysis, table 3 helps confirm the earlier assumption that the density between filament samples is the same. a visual assessment of the filaments in table 3 confirms that the length and mass have a linear relationship. this further supports the idea that the densities are the same because the linear relationship between length and mass is consistent with the density equation, (3). furthermore, the seventh and tenth filament have the same mass, but different resistances. the group has included a picture to demonstrate the similar volumes. figure 4. a picture comparing the length of two conductive graphite filament samples. visual confirmation shows that they are similar in size. note: the bottom piece was broken after having the mass and resistance measured. the top piece is sample 10. the bottom one is 8. these two samples are clearly of similar length. despite their similar volume their resistances are dissimilar. carbon makes up several different materials such as graphite and diamond. however, even though both of the substances are made up of carbon, they have vastly different properties. the reason the two materials have different properties is because of the carbon atom structure. cusj 2019________________________________________________________________________________ __________________________________________________________________________________________ 20 figure 5. atomic structure of graphite. the atoms form layers of graphite atoms. figure 5 gives a visualization of the carbon atom structure in graphite. this structure is known to be conductive. the relevance of this information is that it offers insight into the difference between conductive filament samples. based on this evidence, it is reasonable to believe that the less conductive samples stray further away from the traditional graphite structure. the cause could be from either the inclusion of non-conductive plastic or the way graphite and pla is mixed. the first cause needs no explanation. the second cause however could use some more detail. when the graphite is mixed in a heated chamber and pressed through a tight hole. it is possible that the atoms rearrange into a structure that while similar to the original graphite structure, are still different. other tests and setups confirm that graphite’s structure within pla can change depending how it is pushed through [2-3]. this could lead to a different resistivity, which explains the percentage difference in certain samples. iv. discussion the results show that semi-conductive graphite filaments are possible. however, the filament can only be made in short bursts. usually the extruder ends up clogging, which stops the filament from being made. the clogging is caused by the limitations of the filament extruder. the device is not powerful enough to properly mix or push the high graphite to pla ratio without clogging. the only way for the filament to be made and not clog the extruder would be for the filament to be followed by non-conductive filament. the latter provides the pressure necessary to push the former through the extruder. in addition, it is difficult to maintain the proper concentration of pla and graphite. even if using small amounts of materials at a time were 100% effective at maintaining the ratio, it still would require the constant attention of the user to achieve the desired results. v. conclusion overall, the results of these experiments help verify the difficulties of using graphite as a silicon substitute in 3d printing. in the future, it might be prudent to find a way to more effectively mix the components before pushing them through the extruder nozzle. this would allow larger amounts of pla and graphite to be added at once and the consistency issue with the produced filament. various experiments have confirmed it is possible to create consistent results or improve certain qualities with different setups or procedures [1,6-7]. author information corresponding author 20 vliet drive hillsborugh, nj 08844 (908) 448-9458 author contributions conceived and designed analysis, collected data, contributed data, performed analysis, wrote paper funding sources none acknowledgments advisor: prof. d.p.birnie, iii revisor/editor: steven coulter references [1] goncalves, j; p lima; b krause; p potschke; u lafont; jr gomes; cs abreu; mc paiva; ja covas: electrically conductive polyetheretherketone nanocomposite filaments: from production to fused deposition modeling. polymers. 2018; 10(8). doi: 10.3390/polym10080925. [2]. jia, yc; h he; y geng; b huang; xd peng: high through-plane thermal conductivity of polymer based product with vertical alignment of graphite flakes achieved via 3d printing. composites science and technology. 2017; 145:55-61. doi: 10.1016/j.compscitech.2017.03.035. [3] kim, m; jh jeong; jy lee; a capasso; f bonaccorso; sh kang; yk lee; gh lee: electrically conducting and mechanically strong graphene-polylactic acid composites for 3d printing. acs applied materials & interfaces. 2019; 11(12):11841-8. doi: 10.1021/acsami.9b03241. [4] lebedev, sm; os gefle; et amitov; dy berchuk; dv zhuravlev: poly(lactic acid)-based polymer composites with high electric and thermal conductivity and their characterization. polymer testing. 2017; 58:241-8. doi: 10.1016 j.polymertesting.2016.12.033. [5] mortazavi, b; f hassouna; a laachachi; a rajabpour; s ahzi; d chapron; v toniazzo; d ruch: experimental and multiscale modeling of thermal conductivity and elastic properties of pla/expanded graphite polymer nanocomposites. thermochimica acta. 2013; 552:10613. doi: 10.1016/j.tca.2012.11.017. [6] shemelya, c; a de la rosa; ar torrado; k yu; j domanowski; pj bonacuse; re martin; m juhasz; f hurwitz; rb wicker; b conner; e macdonald; da roberson: anisotropy of thermal conductivity in 3d printed polymer matrix composites for space based cube satellites. additive manufacturing. 2017; 16:18696. doi: 10.1016 j.addma.2017.05.012. [7] zhu, dc; yy ren; gx liao; sl jiang; fh liu; jj guo; gj xu: thermal and mechanical properties of polyamide 12 graphene nanoplatelets nanocomposites and parts fabricated by fused deposition modeling. journal of applied polymer science. 2017; 134(39). doi: 10.1002/app.45332. ©2024 li, darwin. this is an open-access article distributed under the terms of the creative commons attribution license, which permits the user to copy, distribute, and transmit the work provided that the original authors and source are credited. ascending arousal network connectivity in disorders of consciousness: a diffusion mri study darwin li1 1upper canada college, toronto, ontario, canada keywords: diffusion-weighted imaging, neuroimaging, ascending arousal network, disorders of consciousness, mri abstract: the human brain gives rise to a great variety of conscious experiences. patients with disorders of consciousness, a state characterized by the dissociation of awareness and wakefulness, are particularly noteworthy. this study attempts to find key biomarkers of the disorder of consciousness state and discover key regions of the brain that govern consciousness. the focus is on the ascending arousal network—a network of nodes and edges representing connections from the brainstem to subcortical (thalamus, hypothalamus, basal forebrain) nuclei and reaching the cerebral cortex. previous studies using animal models have demonstrated a high prognostic value of the ascending arousal network in relation to consciousness. this study conducts a diffusion tensor imaging analysis and generates a tract count plot to illustrate differences in connectivity between (n=6) healthy controls and (n=6) patients with chronic disorders of consciousness. each region of interest was isolated to investigate its specific role and impact on consciousness. a principal component analysis was performed to assess the separability of the two cohorts. the results found each of the regions of interest to be significantly (p<0.05) disrupted in patients with disorders of consciousness. they contributed equally to the linear separability of the two cohorts. this is consistent with previous research and hints at the importance of the ascending arousal network in governing consciousness. these changes are likely associated with the many pathological deteriorations associated with an impaired cognitive state, such as neuronal loss, gliosis, and the degeneration of white matter tracts that connect critical areas of the brain involved in consciousness. introduction the mechanisms of consciousness are characterized by the dynamically changing interplay of neural activities underpinning two factors: human awareness and wakefulness.1 a myriad of previous studies have attempted to isolate the precise neurobiology and function of the human brain that governs consciousness. yet, given the brain is an immensely complex system, this realm of neuroscience remains poorly understood. an increasingly promising biomarker of the conscious state is the structural connectivity within the ascending arousal network (aan). knowledge of the aan used to be largely based on past studies using animals with experimentally induced lesions.2,3,4 recent research reveals similarities between the human aan and that of animals. a mapped neuroanatomic connectivity of the human aan revealed definite nuclei connections that mediate wakefulness. the aan is now believed to consist of neuronal projections from the brainstem that extend to subcortical (thalamus, hypothalamus, basal forebrain) nuclei before reaching the cerebral cortex. thalamic pathways are a key relaying center through which brainstem neurons pass to the cerebral cortex, and the thalamus helps to integrate and modulate these nuclei interactions.5 columbia undergraduate science journal vol. 18, 2024 li the hypothalamus, along with the basal forebrain further mediates wakefulness by regulating various autonomic functions and circadian sleep-wake cycles. in the end, the aan is a network of nodes representing gray matter nuclei, beginning with arousal (wakefulness) pathways in the brainstem and connecting to awareness networks in the cerebral cortex.5,6,7 the human brain gives rise to a great diversity of conscious experiences based on the varying extents of awareness and wakefulness. in this spectrum, patients in pathological or pharmacological coma experience the least conscious state. they are characterized by a loss of both awareness and wakefulness to the surrounding environment, usually as a result of severe brain injuries.1 among those who survive, 44-45% remain in a disorder of consciousness (doc), such as a vegetative state (vs) or minimally conscious state (mcs).8 these are unique instances where awareness and wakefulness are disassociated. patients with doc have their eyes wide open and are awake but are not aware of and cannot voluntarily interact with their surrounding environment.1 this is supported by several functional mri-based approaches, which found preserved cognitive processing and willful modulation of brain activity in doc patients, indicating that behavioral unresponsiveness might not always equate to a complete absence of cognitive function.9,10 this unique dissociation of awareness and wakefulness allows studies to isolate awareness from wakefulness and identify specific correlates of each. for instance, there has been a postulation that the default mode network is compromised in doc patients due to a loss of awareness while structures integral to wakefulness appear to be maintained.11 the prognostic importance of the aan has become particularly evident in comatose patients. acute damage to the brainstem is a hallmark of these patients, likely a consequence of a lesion centered in the upper pons or in the midbrain which disrupts aan pathways.12 consistent with this, traumatic coma has met the criteria for a disconnection syndrome with a complete disconnection of brainstem arousal nuclei from previously mentioned subcortical nuclei.7,8 in addition, connectivity between the temporal lobe and the medial thalamus and rostral brainstem seems to be linked to the loss of consciousness associated with temporal lobe epilepsies.13 a disassociation of awareness and wakefulness is detected during seizures, although this is a much more transient example.1 here, we further test the aan as a regulator of consciousness using a cohort (n=6) of patients suffering from chronic doc following traumatic brain injury (tbi) and comparing them with a cohort of (n=12) healthy controls. we use previously published high-angular resolution diffusion imaging (hardi) data to evaluate aan connectivity in each cohort.8 hardi captures the architecture of white matter fibers in the brain and offers a detailed representation of neural pathways including key intersecting and diverging regions. with the hardi data, we conducted diffusion tensor imaging (dti) and tractography analysis to determine differences in aan connectivity between patients with chronic post-traumatic doc and healthy controls. finally, we performed a principal component analysis (pca) to highlight the axes accounting for the most variance between the cohorts. methods patients previously published hardi data of six patients with chronic doc was obtained from openneuro dataset 003367.14 among them, three were diagnosed with vs and three with mcs on the coma recovery scale-revised (crs-r, total = 6.5) following tbi. similarly, hardi data of 12 healthy controls with no recorded psychiatric or neurological disorders were attained. details of the hardi sequence can be found in previous research.14 note specifically the 2 mm isotropic resolution, 60 diffusion-encoding directions, and contrast columbia undergraduate science journal vol. 18, 2024 li of b = 2,000 sec/mm2. processing all preprocessing was done using fsl and mrtrix3. brain extraction (0.2 thresholds), eddy current, and bulkhead motion correction were performed. linear registration was used to transform each patient’s diffusion space to montreal neurological institute (mni) 152 t1 1 mm space. to guide the tractography, fiber response functions were estimated using the tournier algorithm, and fiber orientation distributions (fods) were computed. a white matter mask was also generated to confine the whole-brain tractography. finally, diffusion tensor imaging (dti) parameters were calculated specific to the entire brain and aan regions of interest (rois). metrics such as fractional anisotropy (fa), mean diffusivity, axial diffusivity, and radial diffusivity were derived. regions of interest a combination of previously published rois, the harvard ascending arousal network atlas, and the harvard-oxford cortical and subcortical structural atlases included within fsl were used.14 the thalamus, hypothalamus, and basal forebrain were taken from publicly available rois. the cortical lobes were generated from the harvard-oxford cortical and subcortical structural atlases, and brainstem rois from the harvard ascending arousal network atlas. all rois matched the mni 152 t1 1 mm space. tractography whole brain tractography was first generated, guided by a white matter mask. three million streamlines were launched and dynamic seeding based on the fods was used. then, a second tractography was created only including tracts connecting aan brainstem rois to the thalamus, hypothalamus, and basal forebrain. here, a threshold of 100 mm was set as the maximum length of streamlines. otherwise, default parameters were used. finally, a voxel-wise map representing the number of streamlines passing through each voxel in the aan tractography was generated, normalized by the total number of streamlines launched. the exact path of the streamlines within each voxel was accounted for and the results were set to unsigned 32-bit integers. finally, tractspecific analyses of dti parameters were performed, and the benjamini-hochberg method was used to control false discovery rates. principal component analysis to assess the separability of chronic doc patients from healthy controls, a pca was conducted in r studio with connectivity in each aan roi as the dimensions. principal components 1 (pc1) and 2 (pc2) were projected on the same axes along with the eigenvectors for each roi to explain the major patterns in the data while preserving the maximum variance. the associations of each roi with pc1 and pc2 were determined by computing their respective loadings using the formula l = v ⋅√λ, where l is the loading, v is the component of the eigenvector of the roi on the axis of the pc, and λ the eigenvalue of the pc. results to visualize aan connectivity between controls and chronic doc patients, we generated normalized tract plots of streamlines passing between all subcortical aan structures. the axial and sagittal views are shown (figure 1). figure 1. differences in aan connectivity between healthy controls and patients with chronic disorders of consciousness. columbia undergraduate science journal vol. 18, 2024 li connectivity was measured by the group-sum value of the number of streamlines between all subcortical aan structures (brainstem to thalamus, hypothalamus, and basal forebrain), normalized by the total number of streamlines launched (3m). with tracts from the brainstem extending fully into the thalamus and hypothalamus regions, controls exhibit much more robust and widespread connectivity than chronic doc patients. the latter’s lack of tracts indicates greatly reduced aan connectivity, with narrower areas of activation, fewer pathways, and reduced communication between all aan rois. to determine connectivity in each aan roi, a boxplot was created with the tract count of each control and doc subject (figure 2). in all of the hypothalamus, basal forebrain, thalamus, and brainstem regions, we observed that the normalized tract counts appear to be significantly (p<0.05) lower in the chronic doc cohort compared to the controls. figure 2. fa values in aan rois of healthy controls and patients with a chronic doc, p<0.05. this whiskers-only box plot shows connectivity, measured by the fractional anisotropy values obtained from diffusion tensor imaging analysis. the differences in all four box plots are significant for the threshold p<0.05. in all four box plots and for both cohorts, the extended whiskers indicate a wide distribution of data. for healthy controls, the variability could reflect natural differences in brain architecture and connectivity that occur within a normal population. on the other hand, the variability in the chronic doc group likely represents the diverse impacts of various pathologies associated with disorders of neural connectivity. the box plots for the hypothalamus and thalamus show a notably lower median tract count in chronic doc patients compared to controls, with the median line of the doc group visibly closer to the first quartile than the third. this shift in the median indicates that the majority of chronic doc patients have a lower connectivity profile compared to the median of the control group. furthermore, the presence of a wider range in the chronic doc group’s data suggests that some patients retain a degree of connectivity closer to healthy norms, while others are significantly more affected. finally, we performed pca with the aan roi tract count values to assess the separability of chronic doc patients from healthy controls (figure 3). figure 3. principal component analysis of structural connectivity among aan rois in healthy controls and patients with disorders of consciousness. the vectors represent the loadings of each aan roi onto the principal components. the first principal component explains 94.09% of the variance in the data while the second explains 2.89%. the third and fourth principal components account for 2.43% and 0.58%, respectively. the orange dots represent chronic doc patients while blue are the controls. pc1 = principal component 1, pc2 = principal component 2. with the controls clumped on the right y-axis and doc patients spread out on the left, the results demonstrate clear linear separability between these two cohorts. the diffuse nature of the doc patient data, in contrast to columbia undergraduate science journal vol. 18, 2024 li the controls, mirrors the wide range of the box plots. the dominance of pc1, explaining 94.09% of the total variance, suggests structural connectivity differences within the aan heavily contribute to the total variance in the data. furthermore, we calculated the absolute loadings of each aan roi to determine each roi’s influence in separating chronic doc patients from healthy controls (table 1). roi pc1 loading pc2 loading hypothalamus 0.9580 0.2833 thalamus 0.9906 -0.0333 basal forebrain 0.9634 -0.1686 brainstem 0.9684 -0.0782 table 1. contributions of each aan roi to pc1 and pc2. loadings of pc1 and pc2 for aan rois were extracted from the pca results and computed using the formula l = v, where l is the loading, v is the component of the eigenvector of the roi in the axis of the pc, and the eigenvalue of the pc. higher absolute loadings indicate a stronger contribution of the roi to the respective pc. the similar loadings on pc1 demonstrate approximately equal contributions from each roi. it follows that connectivity within the aan in doc patients is very distinct from healthy controls, with the former exhibiting significantly fewer tracts and experiencing crucial disruptions in all aan rois. on pc2, the hypothalamus is notably higher than all other rois. this holds little weight given pc2 accounts only for 2.89% of the total variance. the importance of pca is simply its demonstration that there is clear separability between the two cohorts based on aan connectivity, with each aan roi contributing relatively equally to this variance. discussion this study demonstrated that connectivity within the aan is significantly disrupted in the chronic doc cohort and that this separates these patients from the healthy controls. great disruption in all subcortical structures (hypothalamus, basal forebrain, thalamus) and the brainstem was found. these results are consistent with previous research analyzing connectivity differences between these groups, as well as studies aiming to find neural correlates of consciousness. the disruptions observed in the rois within the aan in patients with doc in this study can be attributed to the specific pathophysiological changes associated with chronic doc states. in chronic doc, the brain often undergoes significant structural changes that can lead to impaired connectivity. these changes may include neuronal loss, gliosis, and the degeneration of white matter tracts that connect critical areas of the brain involved in consciousness.15 this disruption is determined by the decrease in the number of intact white matter tracts, which could be attributed to neural damage or degeneration caused by the underlying pathology of chronic doc. tract counts refer to the number of neural connections, or white matter tracts, that are identified between the different regions of the brain. these tracts are made up of axons, long, thread-like parts of a nerve cell where impulses are conducted from the cell body to other cells.16 it follows that tracts are pathways for neural signals to travel and communicate between. higher tract counts have been found to be correlated with better cognitive and functional outcomes. furthermore, tract counts are a common biomarker to assess the integrity of the brain's white matter. the wide distribution of tract counts within both groups, but especially among chronic doc patients, raises important questions about the heterogeneity of the disorder. in doc patients, this variability may be due to differences in the etiology of the condition, the extent of brain damage, the duration of the disorder, or individual variations in the capacity for neural plasticity and recovery. often, a result of cognitive impairments such as docs are axonal injuries, which are characterized by widespread damage to the white matter tracts of the brain.17 understanding the sources of this columbia undergraduate science journal vol. 18, 2024 li variability is critical for developing personalized approaches to treatment and care for doc patients. moreover, the results suggest that some chronic doc patients retain a level of connectivity that approaches that of healthy controls. this finding opens several lines of inquiry: it may indicate the potential for recovery in some individuals, or it could reflect the presence of alternate neural pathways that compensate for lost connections. further research is needed to explore these possibilities and to determine the clinical significance of these retained connections. potentially, tract counts can be considered biomarkers for the recovery of doc patients. the investigation of the aan has great value given the significant differences in connectivity in each aan roi. the hypothalamus is particularly susceptible to disruption in doc patients due to its central role in maintaining the body's internal balance and arousal states. the hypothalamus regulates autonomic and endocrine functions, including the sleepwake cycle.5 lower tract counts in the hypothalamus may be indicative of damage or dysfunction in this region, which could be a result of traumatic brain injury, or hypoxic events, in addition to a doc. such disruptions can directly impair the hypothalamus's ability to contribute to arousal mechanisms, thereby affecting the patient's ability to maintain consciousness. the specific vulnerability of the hypothalamus to disruption in doc patients could also be attributed to its extensive network of connections with other brain regions involved in consciousness, including the thalamus, basal forebrain, cerebral cortex, and brainstem. in the thalamus, lower tract counts observed in doc patients may be related to its role as the primary relay station for sensory information to the cortex. the thalamus's involvement in consciousness extends to its participation in thalamocortical loops, which are essential for cognitive functions, including awareness.5 previous research has identified the thalamus as a critical neural correlate of dexmedetomidine-induced unconsciousness, with decreased rates of glucose and cerebral blood flow.18 in addition, similar studies investigating mild cognitive impairments show a disrupted thalamus white matter anatomy.19 damage to the thalamus is quite commonly seen in neuropsychiatric disorders and could stem from a variety of causes, including a direct injury, degeneration of connecting white matter tracts, or secondary effects of cortical damage.20,21,22 the vulnerability of the thalamus in doc patients highlights the importance of intact sensory processing pathways for the maintenance of conscious awareness. the brainstem is critical for its involvement in the reticular activating system, which regulates arousal and wakefulness.5 lower tract counts in doc patients here may be because of its susceptibility to direct injury or as a consequence of secondary brain injury mechanisms such as edema or increased intracranial pressure. the brainstem's role in basic life-sustaining functions also makes its disruption common in diffuse brain injuries.12 the first limitation of this study is rooted in the static nature of the box plots and tractography, providing a visualization of connectivity but not capturing dynamic changes over time. longitudinal studies would be beneficial to understand how connectivity patterns in doc patients evolve and whether they correlate with changes in clinical status. secondly, the normalization of tract counts allows for comparison between groups but may mask absolute differences in connectivity that could be clinically relevant. approaches that involve additional analyses complementing the normalization are recommended as future studies. the implications of these findings extend beyond the scientific understanding of chronic doc. these results can inform clinical practices. from this study, the aan is a potential biomarker for the diagnosis and prognosis of doc. given this information and the role each aan roi columbia undergraduate science journal vol. 18, 2024 li plays in governing consciousness, therapeutic interventions aimed at specifically enhancing connectivity in the regions of the aan may arise. furthermore, there may also be a need for individualized treatment plans, hinted by the great variability in connectivity observed in the doc cohort. a personalized medicine approach to treat doc patients targeting specific aan connections or neural pathways may have strong potential benefits in the path to recovery. conclusion the results presented in this study contribute to a growing body of evidence that suggests structural connectivity is fundamentally altered in chronic doc. these alterations have significant implications for the clinical management of the disorder and for our theoretical understanding of consciousness. further research should first apply more rigorous statistical techniques and machine learning on a larger dataset to validate the findings of the current study and analyze the connectivity of aan rois in junctions rather than treating them as independent entities. author information corresponding author darwin li darwin.li@ucc.on.ca author contributions darwin li conceptualized the study, collected and analyzed data, and wrote the manuscript. references [1] s. laureys, the neural correlate of (un)awareness: lessons from the vegetative state. trends in cognitive sciences 9, 556–559 (2005). [2] d. b. lindsley, j. w. bowden, h. w. magoun, effect upon the eeg of acute injury to the brain stem activating system. electroencephalography and clinical neurophysiology 1, 475–486 (1949). [3] d. h. smith, et al., immediate coma following inertial brain injury dependent on axonal damage in the brainstem. j neurosurg 93, 315–322 (2000). [4] p. m. fuller, d. sherman, n. p. pedersen, c. b. saper, j. lu, reassessment of the structural basis of the ascending arousal system. j comp neurol 519, 933–956 (2011). [5] b. l. edlow, et al., neuroanatomic connectivity of the human ascending arousal system critical to consciousness and its disorders. j neuropathol exp neurol 71, 531–546 (2012). [6] g. aston-jones, s. chen, y. zhu, m. l. oshinsky, a neural circuit for circadian regulation of arousal. nat neurosci 4, 732–738 (2001). [7] b. l. edlow, et al., disconnection of the ascending arousal system in traumatic coma. j neuropathol exp neurol 72, 505–523 (2013). [8] s. b. snider, et al., ascending arousal network connectivity during recovery from traumatic coma. neuroimage clin 28, 102503 (2020). [9] a. m. owen, m. r. coleman, detecting awareness in the vegetative state. annals of the new york academy of sciences 1129, 130–138 (2008). [10] m. m. monti, et al., willful modulation of brain activity in disorders of consciousness. n engl j med 362, 579–589 (2010). [11] a. vanhaudenhuyse, et al., default network connectivity reflects the level of consciousness in noncommunicative brain-damaged patients. brain 133, 161–171 (2010). [12] j. parvizi, a. r. damasio, neuroanatomical correlates of brainstem coma. brain 126, 1524– 1536 (2003). [13] h. blumenfeld, j. taylor, why do seizures cause loss of consciousness? neuroscientist 9, 301–310 (2003). [14] s. b. snider, et al., disruption of the ascending arousal network in acute mailto:darwin.li@ucc.on.ca columbia undergraduate science journal vol. 18, 2024 li traumatic disorders of consciousness. neurology 93, e1281–e1287 (2019). [15] m. pievani, et al., assessment of white matter tract damage in mild cognitive impairment and alzheimer’s disease. hum brain mapp 31, 1862– 1875 (2010). [16] a. fornito, a. zalesky, e. t. bullmore, eds., “chapter 1 an introduction to brain networks” in fundamentals of brain network analysis, (academic press, 2016), pp. 1–35. [17] f. b. mesfin, n. gupta, a. hays shapshak, r. s. taylor, “diffuse axonal injury” in statpearls, (statpearls publishing, 2024) (march 1, 2024). [18] o. akeju, et al., disruption of thalamic functional connectivity is a neural correlate of dexmedetomidineinduced unconsciousness. elife 3, e04499. [19] t. alderson, et al., disrupted thalamus white matter anatomy and posterior default mode network effective connectivity in amnestic mild cognitive impairment. front. aging neurosci. 9 (2017). [20] h.-l. s. wang, c.-l. rau, y.-m. li, y.-p. chen, r. yu, disrupted thalamic resting-state functional networks in schizophrenia. front. behav. neurosci. 9 (2015). [21] c. schleifer, et al., dissociable disruptions in thalamic and hippocampal resting-state functional connectivity in youth with 22q11.2 deletions. j. neurosci. 39, 1301–1319 (2019). [22] d. t. jones, f. j. mateen, c. f. lucchinetti, c. r. jack jr, k. m. welker, default mode network disruption secondary to a lesion in the anterior thalamus. archives of neurology 68, 242–247 (2011). introduction results corresponding author author contributions references columbia undergraduate science journal open-access publication | http://cusj.columbia.com 26 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n c o lo g y cusjcolumbia undergraduate science journalresearch articles 27cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n co lo g y relationships between oncologist gender, participatory decision making, anxiety and breast cancer care kevin xu1,2,*, allyson weseley2 1columbia college, columbia university, new york, ny 10027; 2 roslyn high school, roslyn heights, ny 11577 abstract the discovery that adjuvant treatment (chemotherapy and radiotherapy) after lumpectomy contributes to high survival rates has been a groundbreaking development in modern breast cancer care. participatory decision-making (pdm) is a communication style that involves active interactions and discourse between doctors and patients. although the receipt of adjuvant therapy for various types of cancers has been found to be linked to differences in patient-physician communication, few studies have explored whether this relationship exists in breast cancer treatment. the present study, one vm�[ol�äyz[�l_wspjp[s`�[v�l_htpul�kltvnyhwopj�huk�wz`jovzvjphs�mhj[vyz�[oh[�th`�il�ylsh[lk�[v�hkq\]hu[�[ylh[tlu[�yh[lz�� surveyed a sample of inner-city breast cancer patients (n = 105) about the type of care they received, assessing concomitant levels of participatory decision making (pdm), and anxiety. the results demonstrated that patients who indicated higher pdm tended to have lower levels of anxiety (p < .01). breast cancer patients who saw female oncologists were more likely to receive adjuvant treatment than breast cancer patients who saw male oncologists (p < .05). contrary to popular belief, patients reported equivalent levels of pdm and anxiety regardless of their physician’s gender or their receipt of adjuvant treatment. the surprisingly low adjuvant treatment rates (45%) in this sample suggest possible system failures in breast cancer care and indicate that more attention needs to be given to public education on the importance of receiving follow-up treatment in breast cancer care. key words: adjuvant treatment; anxiety; gender; lumpectomy; participatory decision making a!ecting more than 1.3 million people each year, breast cancer is the second most widespread cancer worldwide and kills more than 40,000 americans annually (jemal et al., 2003). a lumpectomy (breast conservation surgery) is the most common treatment for breast cancer and consists of the removal of a localized lump of cancerous growth on the breast. adjuvant treatment is de"ned as the receipt of radiotherapy or chemotherapy after lumpectomy. clarke et al. (2005) and the early breast cancer triallists’ collaborative group’s (2005) studies were amongst the "rst to "nd that adjuvant treatment after lumpectomy not only reduced breast cancer recurrence, but also signi"cantly raised breast cancer survival rates. numerous studies (lantz et al., 2005; morris et al., 2000; national cancer policy board, 1999) have indicated that mastectomy, as opposed to adjuvant treatment, is “over-used,” which has been “labeled as a problem in terms of ‘over-treatment.’” lantz and colleagues’ (2005) study posited that the use of mastectomy in place of adjuvant treatment may be an indication of breast cancer patients’ “lack of decision involvement or control.” participatory decision-making (pdm) is a recommended communication style that involves active interactions and dialogue between doctors and patients and is indicative of high degree of patients decision involvement in their health care (cooper-patrick et al., 1999). several studies have shown that female patients have better communication with female physicians than with male physicians, leading some to speculate (hershman et al., 2008; lurie et al., 1993) whether female breast cancer patients exhibit higher pdm and lower anxiety with female oncologists than with male oncologists. past research has found that female patients undergoing breast cancer screening indicated higher pdm and felt less anxious when they had a female doctor than a male doctor (lurie et al., 1993). lurie and colleagues explained their "ndings by suggesting that female doctors at an obstetrics-gynecology clinic may be more e!ective in dealing with female patients’ emotional stress and gender-speci"c concerns pertaining to breast health. other studies have also provided evidence that female breast cancer patients copyright: © 2011 the trustees of columbia university, columbia university libraries, some rights reserved, purushothaman, et al. received jan. 2, 2011. accepted jan. 31, 2011. published april 1, 2011. *to whom correspondence should be addressed: kyx2001@columbia.edu introduction materials and methods may feel more comfortable talking with female oncologists and may feel less nervous regarding their medical condition than with male oncologists (roter et al., 1991; stevens et al., 1996). it has also been ascertained that cancer patients who report better communication with their oncologists tend to have less anxiety (meeuwesen et al., 1991; stevens et al., 1996). in an attempt to respect patients’ rights and to address their anxiety, medical communication in recent years has become progressively less “paternalistic” by encouraging patients, instead of their doctors, to make decisions about their medical care. #is increasingly patient-centered type of patient-physician dynamic has been found to contribute to increased levels of pdm (guadagnoli & ward, 1998; #ompson, 2007). given that research on determinants of the use of breast cancer adjuvant treatment remains a relatively new "eld, no research to date has examined di!erences in pdm and anxiety between breast cancer patients who received adjuvant treatment and those who did not receive adjuvant treatment. understanding pdm may give doctors an opportunity to learn about patients’ comorbidities and take patients’ personal concerns into consideration before deciding on a medical treatment. in addition, few studies have examined factors that are related to adjuvant treatment rates, perhaps due to the recent nature of clarke et al.’s (2005) "ndings on the tangible bene"ts of adjuvant treatment on breast cancer survival. we hypothesized that: 1. compared to breast cancer patients with male oncologists, patients with female oncologists would indicate: (a) higher pdm, (b) higher rates of adjuvant treatment, and (c) less anxiety. 2. compared to patients who did not receive adjuvant treatment, patients who received adjuvant treatment would indicate: (a) higher pdm and (b) lower anxiety. #e present study seeks to examine whether the gender of patients’ oncologists is related to patient anxiety, breast cancer adjuvant treatment rates, and the quality of patient-physician communication. participants during the fall of 2008, the american cancer society (acs) patient database was utilized to randomly select 240 breast cancer patients to be surveyed through the mail. #e sample for this study consisted of 105 female breast cancer patients who had been diagnosed with and treated for the disease in the past all participants n = 105 n % age group 40-54 48 45.7 55-69 41 39.0 70-90 16 15.2 race caucasian 52 49.5 african american 25 23.8 hispanic 16 15.2 asian 10 9.5 other/mixed 2 1.9 borough of residence brooklyn 76 72.4 staten island 29 27.6 breakdown of treatment lumpectomy by itself 50 47.6 mastectomy followed by chemotherapy 6 5.7 mastectomy followed by radiotherapy 2 1.9 mastectomy by itself 0 0 lumpectomy followed by chemotherapy 15 14.3 lumpectomy followed by radiotherapy 32 30.5 1 table 1 demographic and clinical characteristics of study participants o n co lo g y columbia undergraduate science journal open-access publication | http://cusj.columbia.com 28 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu cusjcolumbia undergraduate science journalresearch articles 29cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n co lo g y two years, a response rate of 44%. all participants were diagnosed with breast cancer in stages i-iii and were thus eligible for adjuvant treatment. previous studies on pdm and anxiety of breast cancer patients have used similar sample sizes (e.g., hall et al., 1993; stewart, 1984). all participants resided in the new york city boroughs of brooklyn or staten island, new york, which have some of the highest rates of advanced cancer staging in the united states (susan g. komen for the cure, 2009). all participants were members of the american cancer society who attended support groups in the past or worked with the american cancer society’s patient and family services at local hospitals. as seen in table 1, participants’ ages ranged between 40 and 90; the average age of the participants was 58 years. all participants had medical insurance and had incomes ranging from $30,000 to $60,000 per year. procedure prior to conducting this study, the procedure was approved by the institutional review board of the roslyn union free school district and also was approved by the directors of both american cancer society sites. participants’ responses in the survey were anonymous to protect their privacy. because data were collected through the american cancer society, which o!ers counseling and support services to those su!ering from cancer, patients who experienced possible stress while completing the survey had access to appropriately trained professionals. preceding data collection, a pilot study was conducted at the staten island american cancer society (acs) by the investigators in this study. "e acs sta! distributed the patient medical care questionnaire to 30 breast cancer patients involved in the acs breast cancer support programs. after completing the survey, participants were asked to give feedback on the comprehensibility of the survey’s items. because participants indicated that several items contained medical jargon that made parts of the survey di#cult to understand, the language of the patient medical care questionnaire was simpli$ed and was expert-reviewed by one of the authors of the rochester participatory decision-making scale. "e revised patient medical care questionnaire was then distributed to members of the acs sta! in brooklyn and staten island, who mailed the questionnaire to potential participants, and the researchers visited the acs sites weekly to monitor the data collection process. to increase the response rate, a stamped, addressed return envelope was provided to participants. completed surveys were mailed to the researchers between august 2008 and november 2008. materials "e $rst section of the survey, participants indicated the gender and race of their oncologists and themselves and whether they had received a lumpectomy, radiotherapy, chemotherapy, or mastectomy. because breast cancer adjuvant treatment is most commonly de$ned as adjuvant radiotherapy or chemotherapy following lumpectomy (clarke et al.. 2005; early breast cancer triallists’ collaborative group, 2005), only participants who received a lumpectomy preceding their receipt of adjuvant treatment were classi$ed as having received adjuvant treatment. in the data analysis, participants who received a mastectomy were not classi$ed as having received adjuvant treatment. in the second section of the questionnaire, participants completed a pdm and anxiety scale. to minimize response bias, items from the two scales were mixed throughout the survey. all items were answered on a 6-point bipolar scale ranging from 1 (indicating that a speci$c event “almost never” occurred) to 6 (“almost always” occurred). "e pdm scale consisted of 13 items (e.g., “"ere are times when i don’t understand my oncologist’s medical language”, see appendix). seven items were modeled after the rochester participatory decision-making scale (shields et al., 2005). we created six additional items to measure cross-cultural medical communication and delays in medical treatment since past research has noted that these are crucial components of pdm (cooperpatrick et al., 1999). six items on the pdm scale were reverse-scored. to assess the scale’s internal reliability, the researchers calculated a cronbach’s alpha. "e pdm scale had a cronbach’s alpha of .82 on this study’s sample. "e pdm scale was then scored by taking the mean of the 13 items. "e anxiety scale consisted of four items, two of which were modeled after items on the hospital anxiety and depression scale (snaith, 2003), and the other two items were created for this study. an example of an item from the anxiety scale is “even if i try not to worry, i still feel frightened about my medical condition.” "e scale had a cronbach’s alpha of .70 on this study’s sample. "e anxiety scale was scored by taking the mean of the four items after correcting for reverse-scoring. data analysis statistical tests were run on the aggregate survey scores of each patient as opposed to the scores from each question separately. a chi-square test was used to examine hypothesized di!erences in adjuvant treatment rates between breast cancer patients of male oncologists and patients of female oncologists. while this study did not hypothesize a correlation between pdm and anxiety, a correlation coe#cient was calculated to quantify the extent of association between pdm and anxiety. independent sample t-tests were used to examine the di!erences in the pdm and anxiety of patients who received versus those who did not receive adjuvant treatment. t-tests were also run to analyze the di!erences in the pdm and anxiety of patients of male oncologists and those of female oncologists. because the hypotheses were all directional, all statistical tests were one-tailed. "e cuto! for statistical signi$cance was p=0.05. statistical package for social sciences version 16.0 (spss 16.0) was utilized to analyze the data. 37 51 0 10 20 30 40 50 60 70 80 90 100 male female oncologist gender s ta n d a r d c a r e r a te ( % ) figure 1 (�z[h[pz[pjhss`�zpnupäjhu[�kpmmlylujl�^hz�mv\uk�il[^llu�[ol���vm�mlthsl�vujvsvnpz[z»�wh[plu[z��� ����������^ov�yljlp]lk�hkq\]hu[� [olyhw`�huk�[ol���vm�thsl�vujvsvnpz[z»�wh[plu[z�yljlp]lk�hkq\]hu[�[ylh[tlu[���������������_õ� ���$�������w�#���� 1 2 3 4 5 6 1 2 3 4 5 6 pdm a n x ie ty figure 2 /pnoly�why[pjpwh[vy`�kljpzpvu�thrpun�^hz�mv\uk�[v�il�zpnupäjhu[s`�jvyylsh[lk�^p[o�sv^ly�sl]lsz�vm�hu_pl[ �̀�y�$��������w�#����� columbia undergraduate science journal open-access publication | http://cusj.columbia.com 30 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n co lo g y cusjcolumbia undergraduate science journalresearch articles 31cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n co lo g y relationship of oncologist gender to adjuvant treatment as seen in table 1, 47 of all 105 participating breast cancer patients received adjuvant treatment (lumpectomy followed by either radiotherapy or chemotherapy). fifty of the 105 participants received a lumpectomy with no follow-up treatment. about one-half -52% (50/97) -of patients who received a lumpectomy did not receive adjuvant treatment. a chi-square test revealed that oncologist gender was associated with the likelihood of patients’ receiving of adjuvant treatment, x!(96) = 3.41, p < .05. as seen in figure 1, patients of female oncologists tended to receive adjuvant treatment at higher rates (19/37, 51%) than did patients of male oncologists (22/60, 37%). relationship of pdm to anxiety higher levels of pdm were associated with lower levels of patient anxiety. "e results of a linear correlation are seen in figure 2, which shows that patients who indicated higher pdm with their physicians tended to report lower levels of anxiety related to their medical treatment, r = -0.38, p < .01. relationship of oncologist gender to anxiety and pdm overall, participants indicated high levels of pdm with an average rating of 4.50 out of 6.00. as seen in figure 3, the results of an independent samples t-test show that patients of male and female oncologists reported similar levels of pdm, t(94) = 0.64, p =.52. as seen in figure 4, contrary to hypotheses, patients of male and female oncologists reported similar levels of anxiety t(103) = -1.42, p = .17. relationship of adjuvant treatment to anxiety and pdm contrary to predictions, an independent samples ttest indicates that there were no signi#cant di$erences in pdm between patients who received adjuvant treatment (m = 4.46) and those who did not (m = 4.53), t(94) = -0.43, p = .62 (figure 5). as seen in figure 6, patients who received adjuvant treatment reported marginally less anxiety (m = 3.71) than those who did not receive adjuvant treatment (m = 4.10), t(103) = 1.57, p = .09. only 48% of participating breast cancer patients received adjuvant treatment. researchers have found that patients from urban areas are not only 54% more likely to be diagnosed with breast cancer but also are more likely to face complications in breast cancer treatment and higher mortality than patients elsewhere, re%ective of low adjuvant treatment rates (ayanian et al. 1993; fiscella et al., 2000). "e largest group of participants who did not receive adjuvant treatment (48%, n = 51) received a lumpectomy, indicating that patients failed to receive follow-up treatment. a recent study examined disparities in adjuvant treatment and provided a potential explanation for this low adjuvant treatment rate (bickell & cohen, 2008). "ey attributed patients’ failure to obtain follow-up treatment for breast cancer to a systems failure in which oncologists fail to comply with referrals and communicate with other specialists (e.g., surgeons, radiologists) in the cancer treatment #eld. as expected, breast cancer patients of female oncologists were more likely to receive adjuvant treatment than patients of male oncologists. recent literature has demonstrated that female oncologists may be more pro#cient at communicating with their fellow medical professionals of either gender, ranging from nurses to specialists (levinson & lurie, 2004). "us it may be that female oncologists’ greater emphasis on teamwork and cooperation with their peers may contribute to fewer systems failures and therefore higher rates of follow-up treatments. given the study’s correlational nature, it is possible that female and male oncologists, in fact, recommend adjuvant treatment at equal rates. breast cancer patients may be adhering to physician recommendations more frequently if their physician is a female, as opposed to male. alternatively, previous studies have noted that female oncologists tend to be younger than male discussion results 4.56 4.46 1 2 3 4 5 6 male female oncologist gender p d m figure 3 5v�zpnupäjhu[�kpmmlylujlz�^lyl�mv\uk�il[^llu�[ol�tlhu�7+4�zjvylz�vm�thsl�vujvsvnpz[z»�wh[plu[z��4�$�������huk�mlthsl�vujvsvnpz[z»� wh[plu[z��4�$��������[� ���$�������w�$���� 3.72 4.07 1 2 3 4 5 6 male female oncologist gender a n x ie ty figure 4 5v�zpnupäjhu[�kpmmlylujlz�^lyl�mv\uk�il[^llu�[ol�hu_pl[`�vm�thsl�vujvsvnpz[z»�wh[plu[z��4�$�������huk�[ol�hu_pl[`�vm�mlthsl�vujvsvnpz[z»�wh[plu[z��4�$��������[������$��������w�$����� 4.534.46 1 2 3 4 5 6 yes nostandard care p d m figure 5 5v�zpnupäjhu[�kpmmlylujlz�^lyl�mv\uk�il[^llu�[ol�7+4�vm�wh[plu[z�^ov�yljlp]lk�hkq\]hu[�[ylh[tlu[��4�$�������huk�wh[plu[z�^ov�kpk� uv[�yljlp]l�hkq\]hu[�[ylh[tlu[��4�$��������[� ���$���������w�$����� columbia undergraduate science journal open-access publication | http://cusj.columbia.com 32 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n co lo g y 33cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu cusjcolumbia undergraduate science journalresearch articles oncologists and may be more familiar with new developments in breast cancer treatment that emphasize the importance of adjuvant treatment(lurie et al., 1993; mechanic et al., 2001). because the present study gathered data directly from patients who did not know their doctors’ ages, this variable was not examined. however, despite controlling for oncologist age, one study (cooperpatrick et al., 1999) found that female oncologists are more likely to o!er breast cancer adjuvant treatment than their male counterparts. still, to investigate this possibility in future studies, data should be gathered on oncologists’ ages. as expected, participants who indicated high levels of pdm tended to report less anxiety. a wealth of research (e.g., cooper-patrick et al., 2008; stevens et al., 1996) has found that patients who have the opportunity to actively participate with their physicians in their health care tend to feel less anxious about their medical condition. "is #nding challenges the “paternalistic” model of patient-physician communication by highlighting a potential emotional bene#t of pdm. however, it is important to note that this #nding is correlational. whereas most research suggests that pdm leads to lower anxiety, it is possible that high anxiety leads to lower pdm or that both pdm and anxiety are confounded by a third factor such as breast cancer patient age. contrary to predictions, patients of female oncologists indicated equivalent levels of anxiety as patients of male oncologists. breast cancer patients experience a great deal of anxiety and believe that their oncologists’ technical skill is the most important aspect of their medical care (stevens et al., 1996; wiggers, et al., 1990). despite any di!erences patients may perceive between male and female oncologists, they may view them similarly in terms of technical skill, contributing to similar anxiety ratings. in addition to #nding no di!erences in pdm between patients who received adjuvant treatment and those who did not, we also found that patients of female oncologists indicated equivalent levels of pdm as patients of male oncologists. female patients in general tend to ask their oncologists more questions and exhibit more interest in their medical treatment than do male patients (elderkin"ompson & waitzkin, 1999). however, it has been suggested that oncologists, regardless of their genders, may be sensitive to female breast cancer patients’ desire for a highly communicative style of care, contributing to equivalent levels of participatory decision making (cooper-patrick et al., 1999). participants who received adjuvant treatment indicated marginally lower levels of anxiety relative to those who did not. because the #nding is correlational, the causal agent is unclear. it is possible that patients who receive adjuvant treatment may have lower levels of anxiety because they are receiving a higher quality of cancer care. alternatively, patients with lower levels of anxiety may be more likely to obtain follow-up treatment in breast cancer care and complete their medical treatment. limitations and further study although this study drew from a random sample of breast cancer patients generated by the american cancer society’s siebel database, all participants were active acs members whose ideas and views may not be representative of the general population of breast cancer patients. "e study’s overall response rate of 44% is an issue of concern because low response rates typically result in unrepresentative samples. however, it should be noted that this study had a comparable response rate to similar studies surveying breast cancer patients (e.g., cyran et al., 2001; frank & clancy, 1993). "e participants’ high pdm suggests that they may not be re$ective of the population of breast cancer patients in the new york city boroughs. urban cancer patients tend to face problems in medical care that are characteristic of low pdm, including short medical visits and long wait times (mehta et al., 2008). "e generalizability of our study’s #ndings was also limited in that all the participants’ were members of the american cancer society, and all were insured. because an optional mail survey was utilized, volunteer bias may have impacted the results. participants who were more likely to respond may have felt stronger positive or negative feelings towards their oncologists and their medical treatments. in an era in which medical treatment can be a!ected drastically by the insurance providers of the patients, it would be valuable to investigate potential associations of patients’ insurance coverage with adjuvant treatment rates and pdm. whereas past research has found insurancebased discrepancies in breast cancer screening (ayanian et al., 1993), studies have yet to examine associations between breast cancer adjuvant treatment and insurance. in addition, due to #ndings that patients and physicians of the same race to have higher pdm than those of di!erent races (e.g., murray-garcia et al., 2000), future studies should examine potential di!erences in adjuvant treatment rates and anxiety between race concordant versus discordant patients and physicians. "is is one of the #rst studies to date to examine psychosocial and demographic factors that may be related to adjuvant treatment rates. contrary to the assumptions of past studies (e.g., johnson et al., 1988; lurie et al., 1993), this study found that pdm between oncologists and patients is not related to adjuvant treatment. "e surprisingly low adjuvant treatment rates (48%) in this sample suggest possible system failures in breast cancer care and indicate that more attention needs to be given to educating people about the importance of follow-up treatment in breast cancer care. in addition, this study’s #nding that breast cancer patients who select female oncologists are more likely to receive breast cancer adjuvant treatment highlights the need for more research to probe the cause of di!erences in adjuvant treatment rates. ayanian, j, kohler, b, abe, t, epstein, a (1993). "e relation between health insurance coverage and clinical outcomes among women with breast cancer. new england journal of medicine 329 326-331. bickell, n, and cohen, a (2008). understanding reasons for underuse: an approach to improve quality of care and reduce disparities in breast cancer treatment. mt. sinai journal of medicine 72 23-30. clarke, m, collins, r, darby, s, davies, c, elphinstone p, et al. (2005). e!ects of radiotherapy and of di!erences in the extent of surgery for early breast cancer on local recurrence and 15-year survival. lancet 366 2087-2106. cooper-patrick, l, gallo, j, gonazlez, j, vu, h, powe, n, et al. (1999). race, gender and partnership in the patient-physician relationship. "e journal of the american medical association 282 583-589. cyran, e, crane, l, and palmer, l (2001). physician sex and other factors associated with type of breast cancer surgery in older women. annals of surgery 136 185-191. elderkin-"ompson, v, and waitzkin, h (1999). differences in clinical communication by gender. journal of general internal medicine 14 112-121. fiscella, k, frank, p, gold, m, and clancy, c (2000). addressing socioeconomic, racial, and ethnic disparities in health care. journal of the american medical association 283 2579-2584. guadagnoli, e, and ward, p (1998). patient participation in decision-making. social science medicine 47 329-339. frank, p, and clancy, c (1993). physician gender bias in clinical decision-making: screening for cancer in primary care. medical care 31 213-218. 4.13.71 1 2 3 4 5 6 yes no standard care a n x ie t y figure 6 7h[plu[z�^ov�yljlp]lk�hkq\]hu[�[ylh[tlu[�ohk�thynpuhss`�sv^ly�sl]lsz�vm�hu_pl[`��4�$�������[ohu�why[pjpwhu[z�^ov�kpk�uv[�yljlp]l�hkq\]hu[�[ylh[tlu[��4�$��������[������$�������w�$��� � conclusion references o n co lo g y low energy surface acoustic waves (saw) have been shown to reduce bio!lm formation on urinary catheters in rabbits (hazan et al., 2006). recently, the fda has approved saw as a safe method to enhance wound healing (howell-taylor et al, 2008). low-energy saw devices generate and spread vibrational energy at frequencies of 100 to 300 khz and amplitudes of 300 to 800 nm. "e waves are propagated uniformly and in all directions, covering the entire system (hazan et al., 2006). we hypothesized that the e#ectiveness of saw was based on an underlying immunological mechanism since it showed clinical use in wound and bone healing, processes which involve immune cells. while there is no current research on the impact of saw on immune cell function, recent unpublished studies in our lab have shown that saw signi!cantly improves the capacity of human neutrophils, which are innate immune cells, to kill bacteria within a three-dimensional in vitro !brin gel environment. based on these results, it was hypothesized that saw enhanced bacterial killing in a tissue-like matrix by facilitating chemotaxis of neutrophils; the mechanical vibrations induced by saw may cause activation of neutrophil through an unidenti!ed mechanoreceptor. since saw appeared to enhance neutrophil function, we wanted to examine if other immune cells could also be stimulated by saw. t-cells constitute an important arm of the adaptive immune system and are ubiquitously involved in defense against cancerous cells. we extended our study to examine whether saw has an e#ect on t-cells’ ability to kill melanoma tumor cells. cutaneous melanoma is a type of skin cancer. each year, the incidence of cutaneous melanoma continues to escalate, with over 50,000 new cases being diagnosed within the united states in one year. approximately 1020% of all such melanomas are located in the head and neck region and mortality is growing at a very high rate, second only to that of lung cancer. in most cases, excision of the tumor is the best treatment option available to patients (rigel et al, 2000). "e application of saw can offer a treatment alternative perhaps not for serious cases of melanoma in which lesions must be immediately excised, columbia undergraduate science journal open-access publication | http://cusj.columbia.com 34 cusjvolume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu o n c o lo g y cusjcolumbia undergraduate science journalresearch articles 35cusj volume 5spring 2011 columbia undergraduate sci j http://cusj.columbia.edu ca n c er bio lo g y surface acoustic waves cause net reduction in mouse and human melanoma growth in vitro komal kothari1,*, jona zumeris2,, harold jacob2, john loike3* 1department of biological sciences, columbia university, new york, ny 10027, 2nanovibronix, nesher, israel 36603; 3department of physiology and cellular biophysics, columbia university college of physicians and surgeons, new york, ny 10032. . low-energy surface acoustic waves (saw) have been shown to be effective in curing urinary catheter infections and in enhancing neutrophil killing of bacteria. here, we examined whether cellular immunity, the killing of melanoma tumor cells by t-cells, can be enhanced with the application of saw. from the preliminary data, it appears that saw is capable of reducing mouse and human melanoma cell growth independently of t-cell activity. in the b16 mouse melanoma model, nyv^[o�pu�:(>�[ylh[lk�jvsshnlu�äiypu�nlsz�^hz�ylk\jlk�i`�����h[�+h`���huk�i`�����h[�+h`���^olu�jvtwhylk�[v�nyv^[o� pu�jvu[yvs�jvsshnlu�äiypu�nlsz��(�7yvwpkp\t�0vkpkl�hzzh �̀�^opjo�å\vylzjlz�klhk�jlssz��z\nnlz[lk�[oh[�[ol�hwwspjh[pvu�vm� saw kills b16 cells directly, since the saw-treated gels showed almost twice the percentage of dead cells (44.25%) as compared to the control gels (26.09%). in addition, saw-treated a375 cells, or human melanoma cells, showed apwyv_pth[ls`�h�����ylk\j[pvu�pu�nyv^[o�pu�jvsshnlu�äiypu�nlsz�pu�jvtwhypzvu�[v�nyv^[o�pu�jvu[yvs�nlsz��;�jlss�rpsspun�huk� migration experiments performed with b16s in the presence or absence of saw showed that saw seems to adopt an independent mechanism in killing b16 melanoma cells, while enhancing t-cell chemotactic capacity. our future experiments involve studying the effect of saw on other types of dermatological cancers and understanding the underlying mechanisms of saw in reducing tumor cell growth. key words: surface acoustic waves, melanoma, t-cells. abstract introduction copyright: © 2011 the trustees of columbia university, columbia university libraries, some rights reserved, thomas, et al. received jan. 2, 2011. accepted jan. 26, 2011. published april 1, 2011. *to whom correspondence should be addressed: department of physiology and cellular biophysics, college of physicians and surgeons, columbia university, new york, ny 10032. krk2122@columbia.edu hall, j, epstein, a, deciantis, m, and mcneil, b (1993). physicians’ liking for their patients: more evidence for the role of a#ect in medical care. health psychology 12 140-146. hershman, d, buono d, mcbride r, tsai w, joseph k, et al. (2008). surgeon characteristics and the receipt of adjuvant radiotherapy in women with breast cancer. journal of the national cancer institute 100 199-206. jemal, a, murray, t, and "um, m (2003). cancer statistics. ca: a cancer journal for clinicians 53 5-26. johnson, j, nail, l, lauver, d, king k, and keys, h (1988). reducing the negative impact of radiation therapy on functional status. cancer 61 46-51. lantz, p, janz, n, fagerlin, a, schwartz k, liu, l, et al. (2005). satisfaction with surgery outcomes and the decision process in a population-based sample of women with breast cancer. health services research 40 745-768. levinson, w, and lurie, n (2004). when most doctors are women: what lies ahead? annals of internal medicine 141 471-474. lurie, n, slater, j, mcgovern, p, ekstrum, j, quam, l, et al. (1993). preventive care for women – does the sex of the physician matter? "e new england journal of medicine 329 478-482. mechanic, d, mcalpine, d, and rosenthal, m (2001). are patients’ o$ce visits with physicians getting shorter? "e new england journal of medicine 344 198-204. meeuwesen, l, schaap, c, and van der staak, c (1991). verbal analysis of doctor-patient communication. social science medicine 32 1143-1150. mehta, r, liang, l, karve, a, hernandez, a, rumsfeld, j, fonarow, g, et al. (2008). association of patient case-mix adjustment, hospital process performance rankings, and eligibility for !nancial incentives. journal of the american medical association 300 1897-1903. morris c, cohen r, schlag r, wright, w (2000). increasing trends in the use of breast-conserving surgery in california. american journal of public health 90 281-4. murray-garcia, j, selby, j, schmittidiel, j, grumbach, k (2000). racial and ethnic di#erences in a patient survey. medical care 38 300-310. national cancer policy board. institute of medicine and national regional council. in: ensuring quality cancer care. hewitt m, simone jv, editors. washington, dc: national academy press; 1999. roter, d, lipkin, m, korsgaard, a (1991). sex di#erences in patients’ and physicians’ communication during primary care medical visits. medical care 29 1083-1093. shields, c, frank, p, fiscella, k, meldrum, s, and epstein, r (2005). rochester participatory decision-making scale (rpad): reliability and validity. annals of family medicine 3 436-442. snaith, r (2003) hospital anxiety and depression scale. health and quality of life outcomes 2 1-4. stevens, f, courtens, a, crebolder, h, and philipsen, h (1996). longitudinal study on quality of life and social support in cancer patients. cancer nursing 19 162-169. stewart, m (1984). patient characteristics which are related to the doctor-patient interaction. family practice 1 30-6. susan g. komen for the cure (2009). new york city community pro!les. retrieved october 13, 2009 from the susan g. komen for the cure new york city af!liate website: http://www.komennyc.org/site/docserver/2009_community_pro!le_report_final_for_web. pdf?docid=3341. early breast cancer triallists’ collaborative group (2005). e#ects of chemotherapy and hormonal therapy for early breast cancer on recurrence and 15-year survival: an overview of the randomized trials. lancet 365 1687717. "ompson, a (2007). "e meaning of patient involvement and participation in health care consultations. social science and medicine 64 1297-1310. wiggers, j, donovan, k, redman, s, and sansonfisher, r (1990). cancer patient satisfaction with care. cancer 66 610-616. 5 letter from the president dear readers, i am proud to announce the publication of the 2021-22 edition of the columbia undergraduate science journal! the columbia undergraduate science journal is our original namesake publication, dedicated to sharing scientific knowledge of the highest quality of scholarship resulting from undergraduate scientific research. the need for accurate scientific research and reporting is ever-present, especially now more than ever before. a significant issue that plagues society today is misinformation. opinions uninformed by science present a danger to society we need not look any further than the still-ongoing covid-19 pandemic for an example of the consequences of unscientific misinformation. a society misinformed miscalculates. so, in a world of chaotic opinion, we must remain steadfast in our pursuit of scientific knowledge. although scientific facts should inform our opinions, it is important to remember that science itself is not a list of facts, but rather a process of discovery. students all over the world contribute to this collective process as scientific researchers. through scientific research we explore nature, discover truths, and debate ideas in our relentless pursuit of knowledge. the columbia undergraduate science journal is a platform for student scientists to share their knowledge so that we may become a better informed society. it was an honor to read, edit, and review submissions made to our journal. i am grateful to our columbia undergraduate science journal team and editorial board for their significant contributions to our scientific review process. i am especially grateful to kazi rabbe, editor-in-chief of the columbia undergraduate science journal, whose leadership made this publication a success. i would also like to thank the columbia undergraduate science journal faculty advisory board, a group of esteemed columbia university professors whose support ensures publication of the highest quality of scholarship. congratulations to our authors, and thank you to our readers! arjun kudinoor president, chief editorial officer columbia undergraduate science journal protein-polymer complex coacervates as synthetic membrane-less organelles hansen tjo1*, nicholas zervoudis2, allie c. obermeyer2 1department of chemical engineering, university of massachusetts amherst 2department of chemical engineering, columbia university in the city of new york complex coacervation, protein engineering, soft matter abstract: in solution, oppositely-charged macromolecules undergo charge-mediated liquid-liquid phase separation into a complex coacervate phase – a dense, macromolecule-rich liquid. in nature, the basis for intracellular compartmentalization in the formation of membrane-less organelles has been shown to follow similar complexation principles, where charged proteins represent the ionic species. we seek to capture the spatiotemporal tunability properties of such organelles for enzymatic reactions in vitro. however, the in vitro formation and deformation of protein-based coacervate microenvironments as a nanoreactor is a limiting factor. here, we prescribe high-precision turbidimetry coupled with optical microscopy, to characterize the phase behavior of binary protein-polymer complexes between the weak anionic enzyme glucose oxidase (gox) and four different synthetic polycations as functions of composition and ionic strength. establishment of conditions ideal for coacervate formation in each protein-polymer system informed ph titration experiments on characterizing self-assembly regulation. the results from this study will help inform the design of novel coacervate microenvironments for industrial enzyme cascades and elucidate the role of associative phase separation in cellular evolution. introduction selectivity and specificity are an enzyme’s key characteristics [1, 3, 4]. as biological catalysts, enzymes increase rates of reaction such that greater amounts of biological product may be obtained under less time. they also have been used to improve chemical processes in industries from food, agriculture, and petroleum in addition to reducing energy costs and operation time [4]. it is difficult to synthetically match the efficacy and specificity of enzymes as biochemical systems have had millions of years to evolve [4, 16]. while advents in directed evolution and protein engineering attempt to circumvent the time required for natural evolution, amongst other approaches to improve enzyme activity, there is also particular interest to achieve similar goals by optimizing an enzyme’s surroundings [1, 4, 16]. this strategy is inspired by metabolic reactions, such as those that make up cellular respiration, where the spatiotemporal efficacy of enzymes is enhanced by its surrounding biological environment [1, 4]. with recent reports highlighting the complex functions of biological condensates in vivo (signaling, reaction networks etc.), we took a biomimetic approach in constructing a stable and responsive enzymatic compartment [1-5]. using de novo liquid-liquid phase separated synthetic organelles, these microenvironments may be the bridge to advance how enzymatic power is harnessed industrially. complex coacervation, an example of associative liquid-liquid phase separation, describes how oppositely charged polyelectrolytes phase separate into a coacervate phase – a dense, polyelectrolyte-rich phase with potential applications in biomolecular encapsulation – and a dilute phase, the supernatant [1]. because the coacervate phase compartmentalizes both enzymes and substrates within the same microenvironment, enzymes can perform their catalytic functions with greater spatiotemporal efficacy [1-4]. these de novo systems are especially advantageous due to their tuneability by a variety of parameters: ph, charge stoichiometry, ionic strength, mixing order, and others [1, 2]. the use of proteins or other charged biomacromolecules as coacervating macro-ions allows further structural modulation through ionic tagging and supercharging [6, 7, 9]. complex coacervate systems typically involve binary mixtures of oppositely charged components. to simplify coacervate formation, a net charged enzyme is chosen such that it constitutes one of the electrostatic components for complexation [10, 11]. in particular, the weakly anionic enzyme glucose oxidase (gox) was used in conjunction with four structurally distinct polycations: poly(4-vinyl nmethyl pyridinium iodide) (qp4vp), poly(allylamine hydrochloride) (pah), poly(ethyleneimine) (pei), and poly(1-vinyl imidazole methyl iodide) (pvi). in sum, we sought to elucidate the effects of mixing order, salt concentration, and finally ph on the phase behavior of four different gox-polycation systems: gox-qp4vp, gox-pah, gox-pei, gox-pvi. 21 methods the phase behavior of four sets of binary gox-polycation systems were studied. the four sets of polymer-protein mixtures consisted of poly(4-vinyl n-methyl pyridinium iodide) (qp4vp), poly(allylamine hydrochloride) (pah), polyethylenimine (pei), and poly(1-vinylimidazole methyl iodide) (pvi) as the polycations, with glucose oxidase (gox) as the anionic charged protein. additionally, we investigated the effects of salt on coacervate formation via the addition of sodium chloride (nacl). finally, we utilized ph titrations to explore how complex coacervation can be regulated by solution ph. sample preparation: glucose oxidase from aspergillus niger was purchased from sigma aldrich (g2133). a stock solution of 2 mg/ml gox was prepared in 10 mm tris at ph 7.4. application of beer’s law was used to determine true concentrations of gox via its absorbance at 280 nm in a 4 ml quartz cuvette. polymer solutions were diluted from liquid stocks of 5 mg/ml; relevant stoichiometric calculations using the molar equivalency equation were used to determine the requisite volumes of 10 mm tris needed to dilute appropriated samples to a mass concentration of 2 mg/ml. each polycation solution was subsequently adjusted to a ph of 7.4. mixing ratios: four mixing ratios of gox/polymer were investigated: 88% gox/12% polymer, 84% gox/16% polymer, 80% gox/20% polymer, 76% gox/24% polymer. such values were determined from preliminary data indicating an optimum mixing ratio range for gox at roughly 80%. data results for variations in mixing ratios were obtained through turbidimetry analysis and optical microscopy. to exclude external ionic strength contributions in studying mixing ratio effects, salt species were absent in all mixtures. salt effects: the effects of added salt on system phase behavior were examined via turbidimetry analyses and optical microscopy. sodium chloride (nacl) concentration was varied from 25 mm to 50 mm on all polymer/protein systems. this salt range was predicted to be conducive for liquid-liquid phase separation in gox-polymer systems based on preliminary work. for the gox-pei system, no form of phase separation was observed at all salt concentrations. thus, further planned investigations on the gox-pei system with salts were abandoned. ph titration: the effects of ph on phase behavior reversibility was examined via turbidimetry analysis, based on absorbance readings from an uv-vis spectrophotometer, and a ph probe at constant ambient temperature (25 ℃). 1 m hydrochloric acid (hcl) was used as the titrant; a 1 cm stirbar at roughly 500 rpm was used to ensure consistent solution mixing throughout the procedure. each gox-polycation system was set at its experimentally-determined optimum mixing ratio and salt concentration: 88% mixing ratio, and 50 mm nacl for all systems with the exception of goxpah, which was set at 175 mm nacl. turbidimetry analyses: turbidimetry analyses were done to investigate the effects of mixing ratios and salt concentration. each sample was prepared in triplicate in tissue culturetreated polystyrene 96-well half-area plates (corning), followed by incubation at room temperature for 3 h. using a plate reader (tecan infinite m200 pro), the absorbance of the mixture was taken at a wavelength (λ = 600 nm) to monitor scattering of the phase separated mixture. each sample had an invariant volume of 50 µl allowing for appropriate absorbance measurements and physical mixing by a tecan infinite m200 pro plate reader (10 s of orbital shaking). finally, the absorbance was converted into turbidity using the following set of relationships: 𝜏 = 100 −%𝑇 (1) %𝑇 = 10(./0) (2) where: • 𝜏 is the turbidity of the solution and an indicator of the extent of phase separation present within the sample. • 𝑇 is the transmittance of the solution as a function of mixture absorbance. • 𝐴 is the measured absorbance of the mixture. optical microscopy: all four protein-polymer samples were prepared in triplicate, followed by individual well examination with optical microscopy using an evos fl auto 2 inverted fluorescence microscope (invitrogen). each sample, controlled at a volume of 50 μl, were formulated in an optically clear 384-well plate (nunc) and then underwent 3 h incubation period at room temperature to maximize the degree of liquid-liquid phase separation taking place in the wells (preliminary data indicated that samples tended to favor figure 1. chemical structures of the four cationic polymers used in this work. structures were drawn using the chemdraw prime software. 22 precipitation following initial mixing before eventual transition into a coacervate phase). all optical microscopy images were taken under 20x objectives with transmitted light. results and discussion initial experiments investigated the effects of mixing ratio of protein to polymer using gox and four different polycations (qp4vp, pah, pei, pvi). preliminary data suggested each binary systems’ tendency to phase separate at all four preselected mixing ratios; however, certain mixing ratios resulted in greater extents of phase separation as indicated by their relative turbidity magnitudes. nevertheless, this initial assumption did not hold as no phase separation was observed with pei at all mixing ratios. however, we hypothesized that additions of salt may facilitate phase separation through external charge compensations and increasing the total possible conformations of electrostatic associations given the presence of non-polyelectrolyte ions [1, 2, 6]. thus, pei was kept for subsequent experiments on the effects of salt addition. turbidity data as a function of mixing ratio was plotted in such a way that optimum mixing ratios for each gox-polycation system can be determined. although ranging in value from 0 – 100%, turbidity is typically employed as a qualitative indicator in characterizing phase behavior: for example, turbidity values above 20% usually suggest (but do not guarantee) the presence of phase separation whereas values nearing 0% imply the absence of phase separation. however, the presence and exact nature of phase separation, be it liquid-liquid or liquid-solid phase separation, can only be verified through optical microscopy. nevertheless, turbidity is useful as a continuous measure for when a system exhibits the same morphology under different conditions, and therefore can indicate the conditions most conducive to the desired phase behavior. in this paper, for example, turbidity is used to determine mixing ratios that best drives phase separation. out of the four mixing ratios investigated, the two mixing ratios most favoring liquid-liquid phase separation will be selected for subsequent investigations involving salt and ph. it was expected that maximum complexation, as determined by peaks in relative turbidity, for a given gox-polycation system would lie around mixing ratios of 84% and 88% (although turbidity values were generally higher at a mixing ratio of 92%, optical microscopy showed greater tendencies for precipitation). indeed, all gox-polycation systems except for gox-pei exhibited coacervate formation at such mixing ratios as determined via optical microscopy (data not shown). phase separation absence in gox-pei also explains the low turbidity magnitudes (below 20% at all mixing ratios). we predicted the absence of phase separation in the gox-pei system to be due to the lack of entropic gains from bound counter-ion release in electrostatic interactions within the system as a result of pei being too weakly charged. the larger relative sample standard deviations with gox-pvi and gox-pei suggests possible systematic inaccuracies: e.g., bubble formation interference at select mixing ratios, but the consistency of turbidity maximums coupled with optical microscopy images (data not shown) at mixing ratios of 84% and 88% supported the selection of these particular mixing ratios for subsequent experiments. while the quantitative limitations of turbidity must be considered, this may also suggest the dominance of (charged) protein-polymers system’s electrostatic interactions driving macro-phase separation on turbidity readings as opposed to the strengths of individual components. salt effects based on the two selected mixing ratios (88% and 84%) from the previous experimental section, the effects of salt (nacl) concentration on gox-polycation phase behavior were investigated (fig. 3). fig. 3c illustrates the characteristic binodal curve phase diagram in phase separating polyelectrolyte systems [1, 8, 12, 14]. in this investigation, however, we are more concerned with determining salt concentrations that promoted liquid-liquid phase separation for the two mixing ratios: 84% and 88%. turbidimetry analysis was used to provide a relative measure for the degree of phase separation across all gox-polycation systems and facilitate comparison across the two different salt concentrations. the two chosen salt concentrations were 25 mm and 50 mm based on preliminary data suggesting that this resulted in liquid-liquid phase separation in the gox-polycation systems being studied. at both mixing ratios of 84% and 88%, all gox-polycations that exhibited liquid-liquid phase separation in the absence of salt (fig. 2) continued to do so with increasing salt concentration. although gox-pvi and gox-qp4vp systems underwent a decrease in turbidity with the addition of salt from 25 mm to 50 mm at constant mixing ratio of 84% (fig. 3b), optical microscopy still showed liquid-like morphologies. given that there were still no indicators of phase separation in gox-pei with the addition of salt, as suggested by low turbidity magnitudes below 20% (figs. 3a, figure 2. complex coacervation of glucose oxidase (gox) enzyme with a palette of synthetic polycations. mixtures were prepared across a select range of macromolecule mixing ratios informed from a more thorough investigation of the protein’s phase behavior. error bars describe the standard deviation of each triplicated data point (n = 3). as a control, all turbidity values shown have had 10 mm tris turbidity reference values subtracted. 23 3b), and confirmed by optical microscopy, the system was excluded from subsequent experiments on the effects of ph on coacervate formation. as an exception amongst the phase-separating systems, pah did not demonstrate the desired formation of biomolecular condensates at both salt concentrations of 25 mm and 50 mm based on optical microscopy (data not shown). instead, its turbidity values consistently above 20% for 25 mm and 50 mm salt concentrations (figs. 3a, 3b) were shown to be a result of precipitate formation, which furthers evidence for the gox-pah system’s greater relative propensity for liquid-solid phase separation at the current salt concentration range. for gox-pah, low concentrations of salt ions may not provide sufficient charge compensations to favor liquidliquid phase separation, so much as it is strengthening electrostatic interactions via increasing possible coulombicdriven conformations. conversely, at higher salt concentrations, its charge screening effects would work towards dampening such electrostatic interactions to reduce the entropic gains from bound counter-ion release and drive coacervation [2, 6, 12]. an alternative explanation as to the goxpah system’s propensity for liquid-solid phase separation at low salt concentrations could be due to kinetic trapping effects as is prevalent in solid phases [2, 8, 12]. next, experiments with the gox-pah system involving higher salt concentrations were necessary to identify a “minimum” salt concentration at which the system undergoes complex coacervation instead of precipitation. thus, we conducted an additional salt titration exploring gox-pah phase behavior at higher salt concentrations: 150 mm to 200 mm nacl at 25 mm intervals. samples were analyzed via turbidimetry (data not shown) and optical microscopy (fig. 3d). while the possibility to utilize a different salt as per the hofmeister series e.g. kbr was considered, ultimately liquid-liquid phase separation was observed at a nacl concentration of 150 mm, with the optimum salt concentration for gox-pah determined to be 175 mm (fig. 3d), thereby negating the need to use a different salt species and maintaining consistency across all gox-polycation systems. ph effects building on preceding work determining ideal mixing ratio and salt compositions conducive to coacervate formation, the goal of this section is to effectively explore coacervate figure 3. the phase behaviors of multiple gox-polycation mixtures as functions of salt (nacl) concentration. goxpolycation mixtures were prepared using the two optimum mixing ratios for complex coacervation from fig. 2 (84% and 88%). both turbidity (λ = 600 nm) and optical microscopy were used to confirm liquid-liquid phase separation. error bar values represent sample standard deviation; n = 3 for all data points. a, turbidity versus salt concentration at constant mixing ratio of 88%. b, turbidity versus salt concentration at constant mixing ratio of 84%. all turbidity values shown in figs. 3a and 3b have had 10 mm tris turbidity reference values subtracted; results from fig. 2 were also included as no-salt controls. c, binodal phase boundary of complex coacervate systems where both charged polymers and charged proteins facilitate phase separation; φ denotes ‘phase’. arrow points to increasing two-phase region with increasing macromolecular charge density or patterning, demonstrating phasic tuneability with charge-associated parameters. d, optical microscopy images of gox-pah phase behavior (88% mixing ratio) provide sufficient qualitative evidence of liquid-liquid phase separation at salt concentration ranges beyond those in figs. 3a and 3b. 24 self-regulation by ph. all gox-polycation systems were set at an initial ph of ~9.5 in addition to their optimum compositions (specified in the experimental section), and a fixed volume of acid was titrated into the solution to slowly decrease the solution ph (fig. 4b). reductions in turbidity as ph decreases marks the dissolution of the coacervate microenvironment. since gox is characterized as a weak polyelectrolyte and has an isoelectric point (pi) of roughly ~4.2, protonation of gox below its pi reduces its net negative charge. thus, the coacervate microenvironment formed by gox and a polycation would deform as liquid-liquid phase separation dissipates from weakening electrostatic interactions. this is evident from the turbidity of each system being lowest at ph values below 4.2, the isoelectric point of gox (fig. 4b). however, the periodicity of the trends, notably with the gox-pah and gox-pvi systems, was unexpected (fig. 4b). we hypothesize possible induced charging effects on prolonging liquid-liquid phase separation given the uneven anisotropy and charge patchiness of gox [5, 8]. it is possible the coacervate microenvironment may persist at some of the lower ph ranges due to such effects, which may explain why each system undergoes a transition towards a turbidity maximum at the same ph value of 6 (indicating gox as the limiting factor) following a local minimum at ph 8~ due to the initial decrease in ph. ultimately, we hope to demonstrate ph-mediated regulation of our coacervate microenvironments. throughout the experimental section, we have shown how coacervate microcompartments can be formed with polymer-enzyme complexes. further, we can tune the interaction strength and morphology via mixing ratio, salt, and ph. due to many enzymatic reactions being affected by system ph, demonstrating the microenvironment’s ability to form and dissolve reversibly in response to ph represents the primary goal of our work on protein-polymer synthetic nanoreactors [4, 16]. it is important to stress that these results are building blocks towards this objective. conclusion an enzyme-polymer complex coacervate system was investigated on the basis of its ability to capture the complexities seen in biological condensates. the phase behaviors of multiple gox-polycation systems as functions of mixing ratios and ionic strength were investigated. we were interested in each gox-polycation system’s propensity to undergo liquidliquid phase separation, and the ionic stability of their formed coacervate microenvironments. gox phase separated upon mixing with the polycations qp4vp, pah, and pvi; but did not phase separate with pei. for the gox-pah system, the addition of salt was needed to screen existing charge such that the entropic gains favoring liquid-solid phase separation may be suppressed. the gox-pei system did not undergo any type of phase separation both with and without the addition of salt. it is also worth remarking that the same species of salt, nacl, may be used to induce liquidliquid phase separation for all phase separating gox-polycation systems, suggesting the salt species’ versatility for driving complexation. ph titrations were used to investigate the dynamics of the formed coacervate microenvironments for each gox-polycation system; turbidimetry suggests that all gox-polycation systems that phase separated at a ph of ~9.5 no longer phase separated upon reaching ph < pi of gox. we suggested the possibility of induced-charging effects as an explanation for the periodicity in phase behavior of gox-pvi as ph decreases, where the anisotropy of gox and presence of charge patches prolonged phase separation despite non-ideal ph [5, 10, 11]. nevertheless, while the exact phase behavior of gox-polycation systems at low ph were not determined as with optical microscopy, due to methodology limitations, the global minimums in turbidity at low ph compared to relative maximums at high ph strongly suggested dissolution of coacervates and dissipation of liquid-liquid phase separation. this crucial finding will inform future work on demonstrating the reversibility of coacervate formation in gox-polycation systems such that these microenvironments can be made smart and self-regulated to mimic the complexity of condensates found in cells. the establishment of ideal parameters at which various gox-polycation systems undergo liquid-liquid phase separation provides a foundation for coacervate microenvironment formation for use in advanced synthetic nanoreactor design and elucidation of cellular compartmentalization phenomena. figure 4. the effects of ph on complex coacervation in multiple gox-polycation systems. each gox-polycation mixture was set at ph of roughly 9.5, followed by titration of hydrochloric acid (hcl) until dissolution of complexation. turbidity (λ = 600 nm) was used to indicate absence of phase separation upon convergence towards a minimum value after multiple ph titrates. a, schematic depicting ph-induced dissolution of complex coacervation via protonation of gox, which reduces its net negative charge. b, measured turbidity of gox-polycation systems as a function of ph. 5th order polynomials were plotted to visualize turbidity trends with ph and to guide the eye (a 5th order polynomial represented the lowest-degree polynomial containing the local extremas that track the data) 25 author information corresponding author *htjo@umass.edu author contributions hansen tjo performed the experiments, analyzed data, and produced the figures and the manuscript. nick zervoudis devised the experimental plan and reviewed the manuscript. dr. allie obermeyer reviewed the manuscript. funding sources this work was supported by the fu foundation school of engineering and applied sciences at columbia university and funding from the columbia chemical engineering reu program. acknowledgments the authors would like to acknowledge members of the obermeyer group for helpful discussions. abbreviations gox – glucose oxidase hcl – hydrochloric acid nacl – sodium chloride pah – poly(allylamine hydrocholoride) pei – poly(ethylenimine) pvi – poly(1-vinyl imidazole methyl iodide) pi – isoelectric point qp4vp – poly(4-vinyl n-methyl pyridinium iodide) references [1] l.p. bergeron-sandoval, n. safaee, s.w. michnick, mechanisms and consequences of macromolecular phase separation. cell 165(5),1067–1079 (2016). [2] w.c. blocher, s.l. perry, complex coacervate-based materials for biomedicine. wiley interdisciplinary reviews: nanomedicine and nanobiotechnology 9(4), doi:10.1002/wnan.1442 (2016). [3] m. castellana, m. z. wilson, y. xu, p. joshi, i. m. cristea, j. d. rabinowitz, z. gitai, n. s. wingreen, enzyme clustering accelerates processing of intermediates through metabolic channeling. nature biotechnology 32(10), 1011–1018 (2014). [4] j.-m. choi, s.-s. han, h.-s. kim, industrial applications of enzyme biocatalysis: current status and future aspects. biotechnology advances 33(7),1443–1454 (2015). [5] f. comert, p.l. dubin, liquid-liquid and liquid-solid phase separation in protein-polyelectrolyte systems. advances in colloid and interface science 239, 213– 217 (2017). [6] c.s. cummings, a.c. obermeyer, phase separation behavior of supercharged proteins and polyelectrolytes. biochemistry 57(3), 314–323 (2017). [7] j. horn, r. a. kapelner, a.c. obermeyer, macroand microphase separated protein-polyelectrolyte complexes: design parameters and current progress. polymers 11(4), 578 (2019). [8] p. jha, p. desai, j. li, r. larson, ph and salt effects on the associative phase separation of oppositely charged polyelectrolytes. polymers 6(5):1414–1436 (2014). [9] r. a. kapelner, a.c. obermeyer, ionic polypeptide tags for protein phase separation. chemical science 10(9), 2700–2707 (2019). [10] l. li, s. srivastava, m. andreev, a.b. marciel, j. j. d. pablo, m. tirrell, phase behavior and salt partitioning in polyelectrolyte complex coacervates. macromolecules 51(8), 2988–2995 (2018). [11] a.c. obermeyer, c.e. mills, x.-h. dong, r. j. flores, b.d. olsen, complex coacervation of supercharged proteins with polyelectrolytes. soft matter 12(15), 3570–3581 (2016). [12] s.l. perry, phase separation: bridging polymer physics and biology. current opinion in colloid & interface science 39, 86–97 (2019). [13] s.l. perry, y. li, d. priftis, l. leon, m. tirrell, the effect of salt on the complex coacervation of vinyl polyelectrolytes. polymers 6(6), 1756–1772 (2014). [14] d. priftis, m. tirrell, phase behaviour and complex coacervation of aqueous polypeptide solutions. soft matter 8(36), 9396–9405 (2012). [15] d. priftis, n. laugel, m. tirrell, thermodynamic characterization of polypeptide complex coacervation. langmuir 28(45), 15947–15957 (2012). [16] e. ricca, b. brucher, j.h. schrittwieser, multi-enzymatic cascade reactions: overview and perspectives. advanced synthesis & catalysis 353(13), 2239–2262 (2011). 26 columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 4 effect of fasudil on glioma cell migration christine wang1*, athanassios dovas2, benjamin amendolara3, peter canoll2 1columbia college, columbia university, new york, ny, usa; 2department of pathology and cell biology, columbia university, new york, ny, usa; 3department of neurosurgery, columbia university, new york, ny, usa abstract gliomas are tumors arising from glial cells that are highly infiltrative within the brain. their extensive migratory patterns greatly limit the treatment options and prognoses for patients. it has been shown that glioma cells undergo migration in a unique manner that relies heavily on non-muscle myosin ii. since functionality of non-muscle myosin ii requires the phosphorylation of its regulatory light chain by enzymes like rho-kinase, we have treated glioma cells with the rho-kinase inhibitor, fasudil, and tested its effects. the results indicated that fasudil is a potent inhibitor of migration and also accordingly decreases regulatory light chain phosphorylation in glioma cells. this suggests that fasudil could be a good potentia l candidate for future in vivo studies and contribute to current therapeutic options for the treatment of gliomas. however, residual cell motility and phosphorylation despite treatment with fasudil also suggest that more work must be done to assess the importance of other pathways in glioma cell migration. introduction gliomas are brain tumors that arise from glial cells and malignant gliomas are associated with poor prognoses due to their prolific migration within the brain [1]. though the tumor cells often do not migrate outside of the central nervous system, they spread across white matter tracts and are highly infiltrative [1]. in patients, this extensive migration makes it difficult for a complete surgical tumor resection, which can eventually cause recurrent tumors and disease progression [6]. this makes gliomas particularly hard to treat and limits available therapeutic options [6]. glioma cells exhibit a rather unique migratory pattern due to the tightly packed and constraining physical environment they are exposed to within the brain parenchyma which forces them to migrate through sub-micrometer spaces [1]. consequently, cell migration occurs in two steps where the cytoplasm first protrudes outward and the cell body follows in saltatory fashion [4]. interestingly, this type of migration closely resembles that of glial progenitors [4]. non-muscle myosin ii (nmii) has been shown to be particularly important in glioma cell migration and plays a key role in the second step, in which it forces the large nucleus and cell body through small spaces within the brain [1]. nmii consists of three distinct isoforms (a, b, c), defined by their heavy chain, but only nmii a and nmii b seem to be involved in cell migration [13]. three distinct genes encode the respective heavy chains, and the three isoforms share 6080% of the same amino acid sequence identity [8]. all nmii molecules have two globular heads and a helically coiled tail and assemble into bipolar filaments through interactions between their coiled-coil tails [11]. each head consists of an amino-terminal portion of a heavy chain, one essential light chain and one regulatory light chain, and the tail consists of the carboxyl terminal portions of the two heavy chains [11]. when nmii regulatory light chain (rlc) is phosphorylated, actin-dependent mg2+-atpase motor activity that is associated with the globular head domain increases. this induces the unidirectional movement of the motor domain on its associated actin filament resulting in actin filament contractility [8, 9]. though originally it was thought that only the ca2+-dependent myosin light chain kinase (mlck) phosphorylated the regulatory light chains (rlcs), it was later found that a significant amount of rlc phosphorylation occurs through a ca2+ independent pathway [5]. this pathway is now known to be mediated by a small gtpase, rhoa, copyright: © 2014 the trustees of columbia university, columbia university libraries, some rights reserved, wang, et al. received 1/1/2014. accepted 3/14/2014. published 3/14/14. *to whom correspondence should be addressed: christine wang, columbia university, new york ny 10027, email: cjw2146@columbia.edu. biology columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 5 which had previously been associated with many cellular activities including cell motility, cytokinesis, regulation of stress fibers and formation of focal adhesions [5]. activated gtprhoa can activate rho-associated protein kinase (rock), which then phosphorylates nmii rlcs directly and also indirectly by inactivating myosin phosphatase [5]. both mlck and rock can mono-phosphorylate the serine 19 site or diphosphorylate the serine 19 and threonine 18 sites on the rlc [5]. regardless, previous studies have demonstrated promising results in which inhibition of just rock can efficiently inhibit cell motility [1]. in the beadle et al. study, the treatment of cells with y-27632—a potent inhibitor of rock—proved to be an efficient inhibitor of cell migration and motility. however, no studies have tested what the effect of the drug, fasudil, also a rock inhibitor, will have on glioma cell migration. since fasudil is already an fdaapproved drug, it is valuable to evaluate it further and determine whether or not it has any effect on migratory patterns. materials and methods cell culture mgpp3 (pdgf+/pten−/−/p53−/−) and ptyb (ptenfl/fl/yfp+) glioma cells were used in this study. these cells were isolated from gliomas generated in mice [10]. cells were grown in bfp medium (dmem containing 2.5% fbs, n-2 supplement, 10 ng/ml fgf, 10 ng/ml pdgf-b, and antimycotic-antibiotic supplement) at 37oc, 5% co2 in a humidified atmosphere. mtt (3-(4,5-dimethylthiazol-2-yl)-2,5diphenyltetrazolium bromide) assay mgpp3 cells (1x103) in 100 μl/well were plated in a 96-well plate for 12 hours with 3 wells dedicated to each of the 13 treatment conditions. treatment conditions included no drug and the indicated concentrations of either fasudil or y27632. 20 μl of reagent (celltiter 96 aqueous one solution reagent) was added to each well and the plate was incubated for 6 hours with reagent. the reagent of the assay is a yellow tetrazole that is reduced to purple formazan in living cells [12]. consequently, wells that appeared more purple in hue contained more viable cells. absorbances were recorded at 490 nm using a 96-well plate reader. transwell migration assay mgpp3 cells (1x105) in a total volume of 200 μl 10% fetal bovine serum (fbs) were seeded on top of 3 μm fluoroblok transfilters (bd biosciences, san jose, ca). 500 μl of 10% fbs was added to the bottom well. a plate was set up with three transfilters per condition—control, 100 μm fasudil and 500 μm y-27632. for conditions that require drug treatment, drug was added both above and below the transfilter membrane. the entire plate containing all transfilters was incubated for 6 hours at 37°c. after incubation, both sides of the transfilter were washed three times with phosphate-buffered saline (pbs). cells were then fixed with 4% paraformaldehyde for 15 minutes on ice. after another three washes in pbs, cells were stained with 4,6-diamidino-2phenylindole (dapi) for 20 minutes. the transfilter membranes were removed and mounted on slides. images of the bottom part of the filters were acquired on a nikon widefield-inverted microscope using a 4× objective and the nuclei within five fields per membrane were counted and averaged together. phosphomyosin staining ptyb cells (3.4x104) were plated on polyl-lysine coated coverslips overnight. cells were then treated with either fresh bfp media, bfp supplemented with 60 μm fasudil, or bfp supplemented with 50 μm y-27632 for three hours. cells were fixed with 4% pfa and stained overnight at 4°c with phospho-serine 19 antibody (ps19, mouse antibody; cell signaling technology) or phosphor-threonine 18-serine 19 antibody (pt18ps19, rabbit antibody; cell signaling technology). later, cells were incubated at room temperature with alexa-568 conjugated secondary antibodies (invitrogen). 
 images were acquired on a nikon widefield-inverted microscope using a 20× objective under identical excitation conditions. images were analyzed for the integrated density of the signal using imagej (national institute of health), and results were imported into microsoft excel and values were normalized to the control condition (bfp only), n=3. statistical tests significance was determined by student's t-test (paired, two-tailed unless otherwise __________ biology http://en.wikipedia.org/wiki/dihttp://en.wikipedia.org/wiki/dihttp://en.wikipedia.org/wiki/thiazole http://en.wikipedia.org/wiki/phenyl http://en.wikipedia.org/wiki/tetrazole http://en.wikipedia.org/wiki/purple http://en.wikipedia.org/wiki/formazan columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 6 indicated) and a p<0.05 was considered significant. results in order to test the motility of untreated and treated cells and confirm fasudil would inhibit glioma cell migration to a significant degree, transwell migration assays (tma) were the assay of choice. transfilters provide 3 μm pore sizes comparable to sizes of pores that exist in the brain through which glioma cells would need to migrate [1]. figure 1 demonstrates the relative size of the glioma cells compared to the small pore that it must migrate through. the tmas evaluate chemokinetic migration as either side of the filter membrane contains media supplemented with growth factors that act as chemoattractants. this approach mimics a native environment similar to that which exists in the brain. figure 1: glioma migration through 3 μm transwell membranes. representative image of the top of a transfilter membrane stained with ps19-rlc antibody showing the relative sizes of the control glioma cell and the 3 μm pore. purple color represents cell nuclei; green color represents phosphorylation at serine 19 site; black dots represent 3 μm pores through which cells migrated. in order to identify non-toxic drug concentrations for the tma experiments, we conducted a dose response assay, specifically a colorimetric mtt assay. from this assay, we determined that 100 μm fasudil is the highest concentration that can be used without affecting cell survival (figure 2). cells treated with equivalent amounts of y-27632 demonstrated more cell viability although cells tolerate both inhibitors at high concentrations (figure 2). 500 μm was chosen as the designated y-27632 concentration because previous studies used 50 μm y-27632 as an established, effective concentration for inhibition and a tenfold increase would create an extreme concentration point that could help further elucidate the effect of fasudil [1]. figure 2: mtt assay demonstrating cell viability for different concentrations of rock inhibitors. dose response curves for mgpp3 cells treated with either fasudil or y-27632 for 6 hours. each point on the curve represents the average of five trials for each condition and the error bars represent standard error. cell survival (y-axis values) was normalized to the absorbance levels measured in cells treated with only h2o, pvalues for concentrations greater than 100 μm determined by a student’s t-test (unpaired, onetailed) are labeled in the corresponding color above the points. as figure 3 shows, 100 μm fasudil reduces trans-membrane migration of cells to 25.36% compared to the control condition (p=0.009). 500 μm y-27632 also significantly reduces cell migration to 17.14% (p=0.0055). on the other hand, the difference in motility between fasudil-treated cells compared to y-27632-treated cells is just under p=0.05 (p=0.04985), despite the much higher dosage of y-27632. biology columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 7 a. effect of rock inhibitors on cell migration through 3 μm transwell membranes. c) fasudil-treated d) y27632 b) control cells cells treated cells figure 3: cell migration in transwell migration assays. (a.) percent migration was normalized to the number of migrated control cells, error bars represent standard error of the averages of the nuclei count from five representative fields of each filter at 4x magnification and p-values are listed above the bars. representative images of the bottom portion of transfilters used in tma experiments after mgpp3 cells were incubated for 6 hours at 37°c with either 10% fbs and were (b.) uninhibited (control) cells, (c.) fbs+100 μm fasudil-treated cells, or (d.) fbs+500 μm y-27632-treated cells. cells were fixed and stained with dapi. each experimental condition was assessed in triplicate for a total n=3. aside from observing the difference rock inhibitors can make on migration, it is also important to ascertain whether the predicted pathway is operating as expected when inhibition occurs. since phosphorylated rlcs (phosphorlcs) are expected to be responsible for much of the nmii-dependent contractions within glioma cells, fasudil and y-2632 inhibition of rock should decrease motility after decreasing rlc phosphorylation. in order to quantify this observation and corroborate this with previous findings, ptyb cells were stained with the same ps19 and pt18ps19 antibodies after treatment with 60 μm fasudil (figure 4a,b) or 50 μm y-27632 (data not shown) which were concentrations used in other studies [1]. representative images were captured using a wide-field microscope and integrated density of the signal was calculated (figure 4a,b). the results show a 47.99% decrease in phosphorylation of the serine 19 site when cells were treated with 60 μm fasudil compared to control (figure 4d;; p=0.006). similarly, 50 μm y27632 demonstrated a 41.93% decrease in monophosphorylation (figure 4d; p=0.0046). c. phosphorylation of cells w/ pt18ps19-rlc biology columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 8 d. phosphorylation of cells w/ ps19-rlc figure 4: phospho-rlc staining. representative images of ptyb cells treated with bfp media, or bfp+60μm fasudil for 3 hours before fixing and staining with dapi and the primary antibodies (a.) pt18ps19-rlc or (b.) ps19-rlc. underlying blue color represents dapi staining of nuclei; red color represents phospho-rlc. integrated density of the (c.) diphosphorylated-rlc signal or (d.) monophosphorylated-rlc signal was measured from 20 cells per condition, averaged and normalized to control ptyb cell phosphorylation. error bars represent standard error of measurements for each condition and p-values are listed above the corresponding bars. after measuring the integrated density of cells incubated with the di-phosphorylated antibody, the results demonstrated 60 μm fasudil decreased phosphorylation to 57.9% of the control (figure 4c; p=0.02). on the other hand, 50 μm y-27632 decreased phosphorylation to 55.82%, which was not significant on a paired ttest (p=0.095; figure 4c), but was significant on an unpaired t-test (p=0.039). fasudil, therefore, effectively decreases the monoand diphosphorylation of the rlcs. discussion through the various transwell migration assays, the results indicate that chemokinetic motility is indeed inhibited, though not completely abolished, when glioma cells are treated with 100 μm fasudil. these results do yield promising implications for fasudil as its efficacy suggests it could make a good inhibitor of cell migration in in vivo studies as well. the concentrations used in the transwell experiments as well as the mtt assay can help inform the drug dosages that could be administered to a living system for maximal inhibition and minimal side effects. it is surprising, however, that the negative control of 500 μm y-27632-treated cells produced results that represented a statistically significant difference from that of fasudil but did not represent a large difference even though the y27632 concentration had been purposefully and dramatically increased. these results suggest that even at a much higher concentration of rock inhibitors, glioma cell migration cannot be completely inhibited. preliminary results of tma experiments of cells treated with a heightened concentration of 680 μm fasudil corroborate with this finding (5.5% residual migration, n=1). similarly, the ptyb cells stained with phospho-rlc antibodies demonstrated cells treated with fasudil or y-2763 exhibited a lower level of total phosphorylation (figure 4). the phospho-rlc images also demonstrate a clear change in cell morphology after treatment with fasudil or y-27632. cells begin to form long, thin spindle-like extensions and lose their more rotund cell shape (figure 4). this suggests that decrease in nmii rlc phosphorylation and the decrease in nmii activity is qualitatively related to the cytoskeleton structure of glioma cells. in addition, the nmii activity decrease potentially is related to the decrease in focal adhesions and stress fiber formation, as detailed in other studies [2]. in images of cells stained with pt18ps19, however, there was evidence of non-specific nuclear staining that most likely overestimated the phosphorylation signal during quantification. future experiments can be done to corroborate the results shown in figure 4 by measuring phosphorylation levels through other methods such as western blots using antibodies that can detect monoor di-phosphorylation. decreased rock activity after treatment with fasudil could also be assessed through western blots with a rock antibody like ser1366, antibodies for an alternate substrate of rock such as lim kinase, through a quantitative rock activity assay [3]. it is also possible, however, that the residual phosphorylation and migration across transfilters is due to rlc phosphorylation from biology columbia undergraduate science journal open-access publication | http://cusj.columbia.edu spring 2014 | volume 8 9 other pathways. one important pathway to consider is the mlck mediated route, which is also known to phosphorylate rlcs at the same sites as rock. this could be tested by assessing phosphorylation and migration after treating cells with both fasudil as well as an mclk inhibitor such as ml-7 [7]. finally, it is important to note that though fasudil is an effective drug target in short-term or acute treatment, we still do not know if it will work after a more long-term treatment. it is possible that cells will eventually compensate for rock inhibition. this information will be particularly important for future in vivo studies or clinical trials because it can greatly influence how the drug is delivered, how often it is delivered, or whether it should be administered along with another drug. subsequent experiments can be done to test motility of glioma cells after prolonged periods of treatment with fasudil. further experiments in motility could also be conducted with fasudil that has been incubated for periods of time at biological temperatures to test the biostability of the drug and to see if its efficacy decreases with prolonged incubation. these experiments also have very important implications for future in vivo or clinical studies. thus, though fasudil is a very promising drug, more work must be done in order to elucidate the prolonged effects of fasudil and determine the cell’s precise response to the drug and its potential as a cancer drug in living systems. references 1. beadle, c., m. c. assanah, p. monzo, r. vallee, s. s. rosenfeld, and p. canoll (2008). "the role of myosin ii in glioma invasion of the brain." mol biol cell 19, no. 8: 3357-68. 2. chihara, k., m. amano, n. nakamura, t. yano, m. shibata, t. tokui, h. ichikawa, r. ikebe, m. ikebe, and k. kaibuchi (1997). cytoskeletal rearrangements and transcriptional activation of c-fos serum response element by rho-kinase. j. biol. chem. 272:25121-25127. 3. chuang, h. h., c. h. yang, y. g. tsay, c. y. hsu, l. m. tseng, z. f. chang, and h. h. lee. "rock ii ser1366 phosphorylation reflects the activation status." biochem j 443, no. 1 (apr 1 2012): 145-51. 4. farin, a., s. o. suzuki, m. weiker, j. e. goldman, j. n. bruce, and p. canoll. "transplanted glioma cells migrate and proliferate on host brain vasculature: a dynamic analysis." glia 53, no. 8 (jun 2006): 799-808. 5. fukata, y., m. amano, and k. kaibuchi. "rho-rho-kinase pathway in smooth muscle contraction and cytoskeletal reorganization of non-muscle cells." trends pharmacol sci 22, no. 1 (jan 2001): 32-9. 6. giese, a. "glioma invasion--pattern of dissemination by mechanisms of invasion and surgical intervention, pattern of gene expression and its regulatory control by tumor suppressor p53 and proto-oncogene ets-1." acta neurochir suppl 88 (2003): 153-62. 7. gillespie, g. y., l. soroceanu, t. j. manning, jr., c. l. gladson, and s. s. rosenfeld. "glioma migration can be blocked by nontoxic inhibitors of myosin ii." cancer res 59, no. 9 (may 1 1999): 2076-82. 8. heissler, s. m., x. liu, e. d. korn, and j. r. sellers. "kinetic characterization of the atpase and actin-activated atpase activities of acanthamoeba castellanii myosin-2." j biol chem 288, no. 37 (sep 13 2013): 26709-20. 9. kamm, k. e., l. c. hsu, y. kubota, and j. t. stull. "phosphorylation of smooth muscle myosin heavy and light chains. effects of phorbol dibutyrate and agonists." j biol chem 264, no. 35 (dec 15 1989): 21223-9. 10. sonabend, a. m., j. yun, l. lei, r. leung, c. soderquist, c. crisman, b. j. gill, et al. "murine cell line model of proneural glioma for evaluation of anti-tumor therapies." j neurooncol 112, no. 3 (may 2013): 375-82. 11. tan, j. l., s. ravid, and j. a. spudich. "control of nonmuscle myosins by phosphorylation." annu rev biochem 61 (1992): 721-59. 12. van meerloo, j., g. j. kaspers, and j. cloos. "cell sensitivity assays: the mtt assay." methods mol biol 731 (2011): 237-45. 13. vicente-manzanares, m., x. ma, r. s. adelstein, and a. r. horwitz. "non-muscle myosin ii takes centre stage in cell adhesion and migration." nat rev mol cell biol 10, no. 11 (nov 2009): 778-90. biology mechanosensory abnormal) and unc-86 (unc for uncoordinated) are two genes that encode transcription factors (mec-3 and unc-86, respectively), which form heterodimers (unc-86::mec-3, a complex with increased dnabinding speci!city) that regulate trn development in c. elegans (goodman, 2008). mec-3 encodes an lim-type homeodomain protein (where lim stands for the proteins lin-11, isl-1 and mec-3) with an evolutionarily conserved role in neuronal di"erentiation, migration, and morphogenesis (hobert and westphal, 2000). lim-type protein expression in the trns, flps, and pvds activates the downstream transcription of genes vital for trn, flp, or pvd function, respectively, when its promoters bind to the unc-86::mec-3 heterodimer (figure 2 displays the combinatorial action of these genes). mrn di"erentiation is dependent on the combinatorial action of several genes: unc-86, mec-3, egl-44, egl-46 and lin-14. unc-86 encodes a pou-type (derived from the names of three transcription factors: the pituitary-speci!c pit-1, the octamer-binding proteins oct-1 and oct-2, and the neural unc-86 from c. elegans) homeodomain protein (from a highly conserved family of eukaryotic transcription factors) expressed in 59 cells, which is a key regulator in the development of cell lineages into trns, and activates expression of the mec-3 gene (finney et al., 1988). #e development of trns requires unc-86 to produce appropriate trn lineages, and mec-3 for trn di"erentiation (way and chal!e, 1989). in unc-86 mutants, the correct lineage of trn precursors is disrupted, which prevents the six trns from being made. mec-3 mutants contain cells with the potential to become trns, but lack adequate differentiation and the typical features of trns. lin-14 is a gene that encodes a protein vital for regulating postembryonic cell division timing and acts as a switch between trn and pvd di"erentiation: in the presence of lin-14, avm and pvm di"erentiation occur, while the absence of lin-14 gives rise to pvds. #e combined action of these genes ultimately restricts the expression of trn fate to the six neurons observable in wild-type animals (mitani et al., 1993). trns detect gentle touch to the body in a manner dependent on the expression of mec-3. in trns, combined action of mec-3 and unc-86 activates various other mec genes (mec-1, 2, 4, 7, 8, 9, 10, 12, 14, 15, 17, 18) (chal!e and au, 1989) and the alr-1 gene (topalidou et al., 2011), which de!ne trn fate. #ese genes comprise the mechanoreceptor channel complex, encoding parts of the extracellular matrix, tubulins for the trn speci!c 15-proto!lament microtubules, and other proteins of unidenti!ed function. transduction of the touch stimulus itself is accomplished via proteins encoded by several mec genes (mec-2, 4, 6, 10) and unc-24 (chal!e and bounoutas, 2007). flp neurons express the gene sto-5, which encodes a stomatin-like protein that regulates ion permeability (stewart et al., 1993). in the absence of mec-3, sto-5 is no longer expressed in flps, indicating that sto-5 expression in flps depends on mec-3 (topalidou and chal!e, 2011). although all flps and trns are regulated by mec-3, they have di"erent functions, which may be linked to how mrns express their speci!c traits and acquire distinct cell fates (way and chal!e, 1988) (figure 3 demonstrates the central role of mec-3 in trn and flp di"erentiation). since both mec-3 and unc-86 are also expressed in flp neurons and sto-5 is only expressed in flps, there must be other co-factors that promote or block trn fate. although mec-3 is needed for sto-5 gene expression in flps (characteristic of flp cell fate), flps do not express the alr-1 and other mec genes characteristic of trns. it is known that mec-3 activates the sto-5 gene directly (topalimechanosensation, or converting mechanical forces of external touch into electrical signals, is easily studied in caenorhabditis elegans (c. elegans), a transparent nematode with a well-understood nervous system and a fully sequenced genome. the mechanovhqvru\�v\vwhp�phgldwhv�jurzwk�dqg�ghyhorsphqw�lq�prvw�rujdqlvpv��d�odfn�ri�ru�ghihfw�lq�phfkdqrvhqvru\�vwlpxodwlrq�fdq�ohdg�wr� ghyhorsphqwdo�ghod\�lq�fkloguhq��uhvxowlqj�lq�ghyhorsphqwdo�glvrughuv�vxfk�dv�dxwlvp�vshfwuxp�glvrughuv��$6'v��dqg�$wwhqwlrq�'h¿flw� disorder (add). studying touch in the animal model c. elegans can elucidate the underlying neuronal mechanisms of touch and their developmental effects. in c. elegans, mechanoreceptor neurons (mrns) detect touch, with three types that require the gene mec-3 (one of the lim-homeodomain transcription factors) for their proper differentiation: touch receptor neurons (trns) (gentle touch), flp qhxurqv��wls�ri�wkh�khdg�wrxfk��dqg�39'�qhxurqv��kduvk�wrxfk���:kloh�wkhvh�wkuhh�051v�gliihuhqwldwh�e\�wkh�vdph�wudqvfulswlrq�idfwru�� each cell type’s differentiation produces distinct morphology and express different genes. flps exclusively express the sto-5 gene, while trns express the mec-17 gene. the genes that determine and distinguish flp vs. trn differentiation are currently limited to egl-44, egl-46 and alr-1. to identify additional genes needed for the differential expression of trns and flps, the wild-type strain (tu3813), with the flp neurons labeled with sto-5p::gfp and the trns labeled with mec-17p::rfp, was mutated and animals zlwk�dowhuhg�h[suhvvlrq�ru�qhxurqdo�pruskrorj\�zhuh�lvrodwhg��:kloh�ghihfwv�lq�erwk�h[suhvvlrq�dqg�pruskrorj\�ri�wkh�)/3v�dqg� trns were observed in six animals, only one animal’s mutation affecting trn appearance was true-breeding. this morphological mutant exhibits abnormal trn axon morphology, due to an autosomal recessive mutation. the mutant strain will be sequenced to identify the mutated gene, and the role of this gene in trn and flp differentiation. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 9 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 /2 * < cusjcolumbia undergraduate science journal research articles 10cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 /2 * < touch sensitivity via converting detected mechanical forces into electrical signals is a vital survival mechanism in most organisms, a behavior known as mechanosensation. to understand normal function of the mechanosensory system and its complex neuronal circuitry, defective genes can be studied in animals that are de!cient in mechanosensation (touch insensitive). touch insensitive mutants were !rst developed in the nematode caenorhabditis elegans (c. elegans), which led to the discovery of a mechanosensory complex with the necessary components to allow certain cells to detect touch to the body. mechanosensation is well studied as a basic behavioral component in c. elegans since the organism’s entire genome has been mapped. investigating mechanosensation is much more challenging in complex eukaryotes because the mechanosensing cells and their scarce transducing molecules are more di$cult to isolate and observe (chal!e and bounoutas, 2007). development of touch sensitivity can be studied in c. elegans by analyzing genes expressed in a specialized set of 30 neurons that detect mechanosensation: mechanoreceptor neurons (mrns). #is experiment investigates expression mutants (with altered neuronal touch receptor-speci!c gene expression) and morphological mutants (with defects on genes that a"ect neuronal outgrowth, number, or branching patterns) of two types of mrns (touch receptor neurons (trns) and flp neurons) in order to better characterize mrn di"erentiation. trns are an important type of mrns because they exhibit the greatest electrophysiological response to mechanical stimuli (kamkin and kiseleva, 2007). two other types of mrns in c. elegans are pvd neurons, a pair of posterior interneurons that mediate harsh touch, and flp neurons, a pair of ciliated mechanosensory neurons that detect touch at the very tip of the head. collectively, trns (six cells), flps (2 cells) and pvds (2 cells) comprise one-third of all mrns (goodman, 2008) (figure 1). several genes have been identi!ed as necessary for differentiation of the six touch receptor neurons (alml, almr, plml, plmr, avm and pvm). mec-3 (mec for identifying factors that control mechanoreceptor neuron development in c. elegans alexis tchaconas 1, ��0duwlq�&kdo¿h1 1department of biological sciences, columbia university, new york, ny 10027 copyright: © 2012 the trustees of columbia university, columbia university libraries, some rights reserved, tchaconas, et al. received 12/15/2012. accepted 1/31/2012. published 4/1/2012 *to whom correspondence should be addressed: 1018 fairchild center, columbia university, new york, ny 10027, e-mail: aet2129@columbia.edu abstract introduction figure 1 mechanosensory neurons in c. elegans figure 2 combinatorial mrn differentiation dou and chal!e, 2011), but it is not known why sto-5 is not expressed in the trns; this experiment aims to !nd genes that are involved in this process. past studies have isolated egl-44 and egl-46 as two genes that restrict trn fate in the flp neurons: mutations of either gene cause the flp neurons to transform into cells that resemble trns (mitani et al., 1993) (wu, duggan and chal!e, 2001). however, the genes that restrict flp fate in other cells remain unknown. we hypothesize that another gene or network of genes is restricting sto-5 expression to flp neurons and is not allowing mec gene expression in the flps (which inhibits trn fate). one morphological mutant was identi!ed through this study, exhibiting irregularly wavy trn axonal processes. general methods and strains to identify genes needed for the di"erential expression of trns and flps, wild-type animals (tu3813 strain) were mutated. #ese c. elegans strains were maintained on op50 seeded agar plates at 20oc as outlined by brenner (1974). #e expression of sto-5 and mec-17 was observed in the wild-type strain using $uorescent protein tags: sto-5 was tagged with green $uorescent protein (sto5p::gfp) and mec-17 was tagged with red $uorescent protein (mec-17p::rfp). sto-5 expression was used for flp analysis since it is characteristic of flp di"erentiation, and mec17 was used for trn observations since it is needed for sustained trn di"erentiation. since c. elegans are transparent, these $uorescently tagged genes are visible under a dissecting microscope. gene expression was monitored under a dissecting microscope, looking for any changes in expression upon mutagenesis (figure 4 & figure 5 are images from the dissecting microscope of the $uorescent protein tagged flp and trn cells in a wild-type animal). #e wild-type animals were synchronized to the same stage (l4) prior to mutagenesis using adecontaminating solution (20% bleach). fluorescence imaging #e appearance of flps and trns in the wild-type strains were observed and characterized via a stereo-$uorescence dissecting microscope (leica mz12) powered by a uv light source (kramer scienti!c corporation) coupled with the x-cite 120 fluorescence imaging system. axiovision 4.8.2 software was used to further characterize flps and trns. ems mutagenesis mutagenesis was performed on the wild-type tu3813 strain with a standard protocol involving ethyl methanesulfonate (ems) (brenner, 1974): two to three plates of healthy tu3813 l4 animals (approximately 100-300 animals) were mutagenized, and 30 of the progeny animals (p0) were picked and plated individually, and stored at 25oc for three days. after three days, four animals from each p0 plate were plated individually (f1 animals) onto new plates and then stored at 25oc for three days (producing f2 animals). #ese f2 plates were manually screened three days later for any apparent abnormalities in flp or trn expression. f2 animals with noticeable abnormalities in either set of cells were picked individually onto new plates and their progeny were observed from subsequent generations to determine if the mutation is heritable (truebreeding) (figure 6 schematically outlines the mutagenizing process). mutant screens via !uorescence imaging #e sto-5 promoter was expressed with gfp (sto-5p::gfp), and the mec-17 promoter with rfp (mec-17p::rfp) to observe and compare flps and trns among the wild-type and mutant strains. #e $uorescent constructs are fucolumbia undergraduate science journal open-access publication | http://cusj.columbia.edu 11 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 /2 * < figure 3 unc-86 and mec-3 are both required for trn and flp differentiation, although they express different genes upon differentiation. sions of promoters to gfp and rfp injected and integrated into the wild-type tu3813 animals. f2s were !rst screened abnormal expression of the gfp and rfp markers, indicating abnormal gene expression. #en, the morphology of flps and trns was characterized in identi!ed mutant strains, noting the shape (axonal branching patterns), position, and changes in the number of flps or trns. any animals with abnormal traits in these cells were isolated and screened for the abnormality over several generations. if the isolated mutant consistently produced progeny with the same abnormality, the mutation was further investigated through genetic crosses. characterizing mutants via genetic crosses #e isolated mutants were crossed with the n2 wild-type strain and then with the dpy-5 mutant strain to determine the nature of the mutation: whether it was dominant or recessive, and x-linked or autosomal. two successive crosses were set up: the !rst was a cross between three hermaphrodite mutants and seven n2 (wild-type) males, and the second was a cross between seven of the male mutant progeny and three dpy-5 hermaphrodites. dpy-5 mutants are characterized by a short, “dumpy” body (dpy phenotype) due to the disruption of the dpy-5 gene, which encodes a cuticle procollagen (#acker, sheps and rose, 2006). #e dpy-5 animals were used to distinguish hermaphroditic self-progeny (dpy/dpy genotype with dpy phenotype) from hermaphroditic cross progeny (m/dpy genotype with normal phenotype, since dpy-5 is a recessive mutation). all animals crossed were in the l4 stage, a standard procedure used in order to enable mating between males and hermaphrodites and to minimize hermaphroditic self-progeny (brenner, 1974). six mutant strains exhibit abnormal flp and trn features seven mutageneses were performed on the tu3813 strain, yielding 710 observable f1 mutant animals. 32 candidate mutants were isolated from the mutant screens, six of which produced heritable flp and/or trn defects. one mutant is true-breeding for abnormal trn morphology among the six viable mutants, two mutants exhibited abnormalities in flp neuron quantity and appearance. observed morphological mutations included multiple and vertically moving flp neurons, and abnormal trn process morphology (wavy, crossed, or shortened). expression mutations involved simultaneous flp and trn expression when observed in the gfp channel on the dissecting microscope. over successive generations, only one mutant (4a1) retained its mutant phenotype (‘true-breeding’). #e mutation is particularly observable along the processes of alm and plm neurons, producing irregularly wavy axons in these animals that are noticeably distinct from the straight axons in wild-type animals (figure7-12 display side-by-side comparisons of tu3813 wild-type trn morphology and 4a1 mutant trn morphology from the anterior, midbody, and posterior sections of the body). cusjcolumbia undergraduate science journal research articles 12cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 /2 * < materials and methods figure 4 sto-5p::gfp expression in wild-type tu3813 animals figure 5 phf���s��uis�h[suhvvlrq�lq�zlog�w\sh�78�����dqlpdov figure 6 growth timeline and observation scheme for a standard ems mutagenesis results figure 7 anterior view of tu3813 wild-type (wt) animal (left to right: alm process, alml). the alm process is straight as it extends from the cell body. to-5p::gfp expression in wild-type tu3813 animals 4a1 mutation characterization via genetic crosses !e "rst cross between hermaphrodite mutants and n2 (wild-type) males yielded male o#spring and hermaphrodite o#spring without the mutant phenotype (wild-type). !e second cross between the male mutant progeny and dpy-5 hermaphrodites also produced wild-type male and hermaphrodite o#spring (figure 13 summarizes the cross). columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 13 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu figure 8 anterior view of 4a1 mutant (avm), with irregularly wavy alm process (left to right: alm process, avm, almr). the alm process is wavy as it extends from the almr cell body !is study isolated genes that disrupt the function or development of gene expression, or morphology in the trns and flp neurons (by isolating an observed phenotype and then identifying the responsible gene). based on the speci"c abnormality observed in a mutant, the normal function of the mutated gene can be inferred from characteristics in its absence, and its role in mrn di#erentiation can then be established. !e seven mutageneses performed enabled screening of 710 f1 animals, yielding 32 candidate mutants, only one of which bred true. typically, there is a 1/2000 probability of "nding a mutant via mutagenesis, so an appropriate sample size would be screening 10,000 f1 animals, and their f2 progeny (brenner, 1974). !e f1 population size in our study was relatively small, and thus should be increased in the future by mutagenizing and screening more animals. as mentioned above, this work has isolated one viable mutant via ems mutagenesis (4a1). !is mutant has displayed a consistent, morphological mutant phenotype in every successive generation, indicating that it is a truebreeding mutant. !e 4a1 mutant phenotype, which involves irregularly wavy trn morphology (along the alm and plm processes), suggests that the induced mutation may have disrupted the axonal development of the alm and plm neurons. although none of the putative mutants with flp abnormalities appeared to be true-breeding mutants, the only true-breeding mutant identi"ed exhibits interesting trn abnormalities. while "nding a trn or flp morphological mutant was a secondary goal of the project (the primary goal was to "nd expression mutants), the mutant nonetheless appears to have a signi"cant mutation that may reveal more about mrn functionality. !us, the 4a1 mutant is worthy of further exploration and genetic characterization. !e results of the cross between 4a1 mutant hermaphrodites and n2 males, followed by the cross of the male o#spring and dpy-5 hermaphrodites indicate that the mutation is autosomal recessive. !e male o#spring only inherited one x chromosome, from the mutant hermaphrodite. since the cross with 4a1 mutant hermaphrodites and n2 males produced male o#spring that did not exhibit the mutant phenotype, the mutation is not x-linked, which is further veri"ed by the next cross. furthermore, from both crosses the o#spring do not show a mutant phenotype, which indicates that the mutation is recessive. an additional cross will be performed to recon"rm the mutant allele’s mode of inheritance, by crossing dpy-5 (dpy/dpy) hermaphrodites with n2 (+/+) males. !e heterozygous male o#spring (dpy/+) will then be crossed with 4a1 mutant hermaphrodites (m/m), producing two types of heterozygous progeny (m/dpy and m/+). since a recessive hermaphroditic allele was crossed with a male to produce heterozygote mutant o#spring in the second generation, the cross further clari"es whether the mutation is dominant or recessive (based on the second cross male progeny’s phenotype – if all males are mutant, the mutation is dominant; if the males are wildtype, the mutation is recessive). future studies will continue to follow the 4a1 mutant strain, speci"cally to determine on which chromosome the mutation is located. first, additional two-step crosses will be performed with mutants that have a known chromosomal location (i.e. dpy-5, with an autosomal recessive mutation on chromosome i). such crosses will indicate which chromosome the 4a1 mutation is on, based on the progeny phenotypes. !en, complementation tests will be performed to determine whether the mutation is on a previously isolated gene, or an entirely unexplored gene. in addition, if it is a novel mutation for mrn di#erentiation (based on the chromosome and gene on which it is located), then the mutant strain will have its genome fully sequenced. genomic sequencing of a 4a1 mutant animal can be compared with the wild-type genome in order to identify the gene that contains the mutation. additional mutageneses will also be performed (increasing f1 sample size) to "nd more genes potentially involved in the combinatorial regulation of mrn di#erentiation. once these genes have been identi"ed via genetic sequencing, they can be fused with gfp to further characterize their normal expression. with an understanding of the normal and abnormal function of these combinatorial genes, each gene’s role in flp and trn di#erentiation can be determined. other experiments can be performed to determine how these genes mechanistically function in the de"nition of mrn development or function. !e irregularly wavy trn processes observed in the 4a1 mutant could be due to a defect in axonal attachment. another researcher in our lab has found a mutant with a cuticle attachment defect (from a mutation on the gene mec-5), so the 4a1 mutant will be compared to this other mutant’s phenotype. such comparisons can determine phenotypic similarities between mutants, and potentially identify genes that have a combinatorial interaction with one another in mrn di#erentiation. once the combinatorial mechanisms regulating di#erentiation of the touch neurons is better understood, more insight into mechanosensory systems in higher organisms can be gained, due to the cross-organismal homology of touch. we thank the chal"e lab (dr. irini topalidou, dr. emalick njie, dr. charles keller, xiaoyin chen, chaogu zheng, yushu chen, and ana pozo). aet was funded by the columbia department of biological sciences from the cusjcolumbia undergraduate science journal research articles 14cusj volume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu discussion figure 9 mid-body view of a tu3813 wt animal’s plm process displays its normally straight morphology. figure 10 mid-body view of a 4a1 mutant’s plm process displays an irregularly wavy morphology throughout its midsection figure 11 3rvwhulru�ylhz�ri�d�78�����:7�dqlpdo¶v�3/05�/�dqg�qrupdoo\� vwudljkw�3/0�surfhvv��ohiw�wr�uljkw��3/0�surfhvv��3/05�/�� % ,2 /2 * < figure 12 4a1 mutant with irregularly wavy posterior process (plm) (left to right: pvm, plm process), exhibiting an apparent deviation from the wt process morphology (in figure 11). figure 13 4a1 crosses for mutational characterization symbol key acknowledgments % ,2 /2 * < summer undergraduate research fellowship. bounoutas, a., and chal!e, m. 2007. touch sensitivity in caenorhabditis elegans. p"ugers arch. 454, 691–702. brenner, s. 1974. #e genetics of caenorhabditis elegans. genetics 77, 71–94. chal!e, m., & au, m. 1989. genetic control of di$erentiation of the caenorhabditis elegans touch receptor neurons. science 243, 1027 – 1033. finney, m., ruvkun, g., & horvitz, h.r. 1988. #e c. elegans cell lineage and di$erentiation gene unc-86 encodes a protein with a homeodomain and extended similarity to transcription factors. cell 55, 757 – 769. goodman, miriam b. “mechanosensation.” wormbook (may 2008): 9 june 2011. hobert, oliver, and heiner westphal. “functions of limhomeobox genes.” trends in genetics 16.2 (2000): 75-82. trends in genetics. 21 jan. 2012. kamkin, andre glebovich, and irina s. kiseleva, eds. mechanosensitive ion channels. new york: springer, 2007. #e tavernarakis lab. 3 aug. 2011. mitani, s. 1995. genetic regulation of mec-3 expression implicated in the speci!cation of the mechanosensory neuron cell types in caenorhabditis elegans. dev. growth di$er., 37, 551 557. mitani, s., du, h., hall, d. h., driscoll, m., & chal!e, m. 1993. combinatorial control of touch receptor neuron expression in caenorhabditis elegans. development 119, 773 – 783. stewart gw, argent ac, dash bc, 1993. stomatin: a putative cation transport regulator in the red cell membrane. biochim biophys acta 1225,15–25 #acker c, rose am, and sheps ja. “caenorhabditis elegans dpy-5 is a cuticle procollagen processed by a proprotein convertase.” cellular and molecular life sciences 63.10 (2006): 1193-204. topalidou, irini, alexander van oudenaarden, and martin chal!e.” caenorhabditis elegans aristaless/arx gene alr-1 restricts variable gene expression.” proceedings of the national academy of sciences 108.10 (2011): 4063-4068. topalidou, irini, and martin chal!e. “shared gene expression in distinct neurons expressing common selector genes.” proceedings of the national academy of sciences 108.48 (2011): 1-6. pnas. 25 feb. 2012. way, j.c. and chal!e, m. 1988. mec-3, a homeobox-containing gene that speci!es di$erentiation of the touch receptor neurons in c. elegans. cell 54, 5–16. way, j. c., & chal!e, m. 1989. #e mec-3 gene of caenorhabditis elegans requires its own product for maintained expression and is expressed in three neuronal cell types. genes dev. 3, 1823 – 1833. wu j, duggan a, chal!e m. inhibition of touch cell fate by egl44 and egl-46 in c.elegans. genes dev 2001; 15, 789-802. zhang s, arnadottir j, keller c, caldwell ga, yao ca, chal!e m (2004) mec-2 is recruited to the putative mechanosensory complex in c. elegans touch receptor neurons through its stomatin-like domain. curr biol 14, 1888 –1896. zhang, y., ma, c., delohery, t., nasipak, b., foat, b.c., bounoutas, a., bussemaker, h.j., kim, s.k., chal!e, m., 2002. identi!cation of genes expressed in c. elegans touch receptor neurons. nature 418, 331–335. columbia undergraduate science journal open-access publication | http://cusj.columbia.edu 15 cusjvolume 6spring 2012 columbia undergraduate sci j http://cusj.columbia.edu % ,2 /2 * < references breast cancer affects one in eight women per year, and 70% of patients with stage iv breast cancer develop metastases in bone, fdxvlqj�olih�wkuhdwhqlqj�vlgh�hiihfwv��:h�h[dplqh�wkh�xvh�ri�dq�h[sodqw�v\vwhp�wr�plplf�euhdvw�fdqfhu�phwdvwdvlv�wr�erqh�zlwkrxw� confounding cell types and to determine the role that osteocytes, the bone mechanosensing cells, may have in the development of metastasis. using the explant system, a custom cell seeder and sterile cell culture techniques, we introduced metastatic mda-mb-231/ *)3�fhoov�wr�d�wkuhh�glphqvlrqdo�erqh�pdwul[�zlwk�rvwhrf\whv�rqo\��&rqirfdo�lpdjlqj�frq¿upv�wkdw�euhdvw�fdqfhu�fhoov�zhuh��lq�idfw�� successfully seeded onto bone cores, mimicking metastasis. though additional experiments will be necessary to determine the importance of breast cancer-osteocyte interactions, this study shows that the explant system is a viable methodology for studying breast cancer in bone. cancer is a devastating disease that is responsible for thirteen percent of deaths worldwide and has a$ected countless families and individuals throughout the world (cancer, world health organization). it a$ects 1 in 8 women every year (u.s. breast cancer statistics). breast cancer originates from the inner lining of the lobules that supply the milk ducts in the breast (wolf et al., 2003). stage iv breast cancer is metastatic, meaning that it is violent and transcends the host organ (the breast) and spreads to a secondary site. #e cancer that metastasizes is still considered breast cancer. it has been reported that up to 70% of stage iv breast cancer patients will experience some form of metastasis of breast cancer to bone (roth et al., 2009). patients often experience pathological fractures, intense pain, hypercalcemia, and various nervous compression complications (zhang et al., 2010). #ese devastating e$ects are caused by an imbalance of bone remodeling, which involved the interactions of the three main bone cell types. bone is comprised of three types of cells: osteocytes (ocy), osteoblasts (ob) and osteoclasts (ocl). osteocytes are the primary mechanosensing cells in bones (burger et al., 1995). #ey regulate the activity of osteoblasts and osteoclasts. osteocytes are “trapped” in the mineralized bone matrix, and are thus they are thought to have only signaling functions, both intercellular and intracellular. after osteocytes sense a mechanical load, that load is transduced into a chemical signal is sensed by the cells. #is stress is translated into a biochemical signal that is communicated to the osteoblasts and osteoclasts, the bone forming and bone resorbing cells (burger et al., 1995). osteoblasts synthesize the bone matrix, which is subsequently deposited and calci!ed to become bone mineral. when osteoblasts secrete too much matrix, they become stuck in the bone, and as a result they completely di$erentiate into osteocytes (saladin, 2007; buckwalter et al. 1995). osteoclasts, on the other hand, resorb bone. to accomplish this, they use their “ruf"ed” membrane (as shown in figure 1) to create a seal around bone and then pump enzymes and hydrochloric acid to degrade the matrix (saladin, 2007; buckwalter et al. 1995). #ere are two types of metastasis: osteolytic and osteoblastic. osteolytic metastases break down bone and are the most common type of metastasis for breast cancer. osteoblastic lesions, characterized by excess bone formation, a$ect 15-20% of patients. mixed types also exist, wherein the patient experiences unnecessary bone excess as well as dearth (zhang et al., 2010). #e large majority of stage iv breast cancer cases end in metastasis to bone because bone has high levels of growth factors that breast cancer uses to survive. we can see that bone is a likely candidate for breast cancer metastasis due to the presence of “transforming growth factor b (tgfb), insulin-like growth factors i and ii (igf), !broblast growth factors (fgfs), platelet-derived !e veri"cation of a novel explant system used to determine the role of osteocytes in the breast cancer vicious cycle sonia bansal*, genevieve n. brown, x. edward guo %rqh�%lrhqjlqhhulqj�/derudwru\��'hsduwphqw�ri�%lrphglfdo�(qjlqhhulqj��&roxpeld�8qlyhuvlw\��1hz�