item: #1 of 127 id: biomath-1 author: Prieto-Langarica, Alicia; Kojouharov, Hristo V; Tang, Liping title: Constructing One-Dimensional Continuous Models from Two-Dimensional Discrete Models of Medical Implants date: 2012-10-08 words: 3736 flesch: 52 summary: Dw is the diffusion coefficient in the S. epidermidis equation, r is the growth rate of S. epidermidis, and ke is the rate at which neutrophil cells kill S. epidermidis cells. Two different grids are considered: a 12 × 12 grid for the neutrophil cells and a 144 × 144 grid for the S. epidermidis since neutrophil cells are 12 times larger in size than S. epidermidis cells. keywords: cells; epidermidis; hours; implant; model; system cache: biomath-1.pdf plain text: biomath-1.txt item: #2 of 127 id: biomath-10 author: Bon, Dimitra; Stephan, Christoph; Keppler, Oliver; Herrmann, Eva title: Viral Dynamic Model of Antiretroviral Therapy Including the Integrase Inhibitor Raltegravir in Patients with HIV-1 date: 2012-09-15 words: 2317 flesch: 57 summary: http://dx.doi.org/10.1073/pnas.0711372105 [11] A. R. Sedaghat, R.F. Siliciano, C.O. Wilke, Constraints on the dominant mechanism for HIV viral dynamics in patients on raltegravir, Antiviral Therapy 14 263–271, 2009. HIV infection is considered pandemic with approximately 34 million people been infected globally (WHO-UNAIDS 2010)[15]. keywords: cells; hiv; model; treatment cache: biomath-10.pdf plain text: biomath-10.txt item: #3 of 127 id: biomath-1030 author: Tchinda Mouofo, Plaire; Tewa, Jean Jules; Bowong, Samuel title: Modelling and analysis of a within-host model of hepatitis B and D co-infections date: 2018-08-07 words: 9892 flesch: 71 summary: The main interest in studying HBV and HDV model is to understand the long and short term behavior of the dynamics of both diseases and to predict whether the diseases will die out or will persist. B. Analysis of the model Herein, we present some basic results, such as the positive invariance of model system (1), the boundedness of solutions, the existence of equilibria and and its stability analysis. 1) Positivity and boundedness of solutions: keywords: analysis; cells; control; equilibrium; hbv; hdv; hepatitis; host; http://dx.doi.org/10.11145/j.biomath.2018.07.219; infection; model; rate; system; time; virus cache: biomath-1030.pdf plain text: biomath-1030.txt item: #4 of 127 id: biomath-1031 author: Hojcka, Michal; Bokes, Pavol title: Non-monotonicity of Fano factor in a stochastic model for protein expression with sequesterisation at decoy binding sites date: 2017-11-02 words: 7652 flesch: 62 summary: To evaluate the goodness of the fit, we calculate the `2 distance between these two realizations of free protein distribution for all N ’s from 0 to 100 (see TABLE I). D. Moments of free protein distribution In this section we focus on the analysis of the free protein probability distribution in the quasi- steady state. keywords: binding; distribution; factor; fano; free; http://dx.doi.org/10.11145/j.biomath.2017.10.217; model; protein; stochastic cache: biomath-1031.pdf plain text: biomath-1031.txt item: #5 of 127 id: biomath-1035 author: Gouia-Zarrad, Rim title: Inversion of the V-line transform for breast cancer detection with Compton camera date: 2017-12-11 words: 3619 flesch: 65 summary: Keywords-V-line transform; attenuated V-line transform; imaging of breast cancer; breast cancer detection; Compton camera. According to the American Cancer Society, in the United States, breast cancer is one of the most commonly diagnosed cancer among women and it has the second highest mortality rate [1]. keywords: breast; cancer; compton; line; line transform; transform cache: biomath-1035.pdf plain text: biomath-1035.txt item: #6 of 127 id: biomath-1085 author: Peynaud, Emilie title: Operator splitting and discontinuous Galerkin methods for advection-reaction-diffusion problem. Application to plant root growth date: 2018-12-18 words: 11504 flesch: 66 summary: h≈4.1·10−3 5 · 10−1 t0 t0 t0 2 · 10−1 t0 t0 t0 1 · 10−1 t0 t0 t0 4 · 10−2 t0 t0 t0 2 · 10−2 t0 t0 t0 1 · 10−2 t0 t0 t0 4 · 10−3 0.0720 t0 t0 2 · 10−3 0.1380 t0 t0 1 · 10−3 0.1760 0.0290 t0 1 · 10−2 t0 t0 t0 2 · 10−2 t0 t0 t0 1 · 10−2 0.1 t0 t0 4 · 10−3 0.2 t0 t0 2 · 10−3 0.216 0.054 t0 1 · 10−3 0.219 0.085 t0 1 · 10−4 0.2203 0.0956 0.0303 Crank-Nicolson scheme (θ = 1/2) δt h≈1.6· 10−2 h≈8.2·10−3 keywords: 10−1; 10−2; advection; galerkin; methods; operator; positivity; problem; reaction; root; scheme; solution; splitting; t0 t0; time cache: biomath-1085.pdf plain text: biomath-1085.txt item: #7 of 127 id: biomath-1090 author: Al-Asuoad, Nofe; Shillor, Meir title: Modeling, analysis and simulations of MERS outbreak in Saudi Arabia date: 2018-03-09 words: 9722 flesch: 59 summary: 2: MERS model parameters fit to daily re- ported cumulative new cases data - red points - obtained from Saudi Arabian Ministry of Health website during the first 865 days of the disease outbreak. In the previous paper, we fitted our model to the daily reported cumulative cases of MERS data for Riyadh for the period from Nov. 4, 2013 to March 17, 2016 (865 days). keywords: arabia; data; days; disease; http://dx.doi.org/10.11145/j.biomath.2018.02.277; mers; model; number; saudi; simulations; stability cache: biomath-1090.pdf plain text: biomath-1090.txt item: #8 of 127 id: biomath-11 author: Umeo, Hiroshi; Nomura, A. title: A State-Efficient Zebra-Like Implementation of Synchronization Algorithms for 2D Rectangular Cellular Arrays date: 2012-09-25 words: 22040 flesch: 67 summary: = 5 1 2 3 4 5 6 7 8 9 10 11 12 13 1 X G B A B C Q Q Q Q Q Q Q 2 G X X X C Q Q Q Q Q Q Q Q 3 B X X G Q Q Q Q Q Q Q Q Q 4 A X G Q Q Q Q Q Q Q Q Q Q 5 B C Q Q Q Q Q Q Q Q Q Q Q 6 C Q Q Q Q Q Q Q Q Q Q Q Q 7 Q Q Q Q Q Q Q Q Q Q Q Q Q 8 Q Q Q Q Q Q Q Q Q Q Q Q Q 9 Q Q Q Q Q Q Q Q Q Q Q Q Q 10 Q Q Q Q Q Q Q Q Q Q Q Q Q 11 Q Q Q Q Q Q Q Q Q Q Q Q Q 12 Q Q Q Q Q Q Q Q Q Q Q Q Q 13 Q Q Q Q Q Q Q Q Q Q Q Q Q t A Q Q Q Q Q Q Q Q Q 9 A X A Q Q Q Q Q Q Q Q Q Q 10 A B Q Q Q Q Q Q Q Q Q Q Q 11 G Q Q Q Q Q Q Q Q Q Q Q Q 12 Q Q Q Q Q Q Q Q Q Q Q Q Q 13 Q Q Q Q Q Q Q Q Q Q Q Q Q t keywords: c q; g q; g x; q b; q q; q t; q x; tx q cache: biomath-11.pdf plain text: biomath-11.txt item: #9 of 127 id: biomath-1125 author: Roth, Bradley John title: Mechanotransduction caused by a point force in the extracellular space date: 2018-10-27 words: 3140 flesch: 51 summary: Keywords-analytical solution; extracellular ma- trix; integrin; intracellular cytoskeleton; mathemat- ical model; mechanotransduction; mechanical bido- main model; point source. These mathematical models are often valuable tools for predicting tissue displacements, stresses, and strains [4]. keywords: force; mechanotransduction; model cache: biomath-1125.pdf plain text: biomath-1125.txt item: #10 of 127 id: biomath-12 author: Toole, Gregory; Hurdal, Monica K. title: Growth in a Turing Model of Cortical Folding date: 2012-09-28 words: 4448 flesch: 58 summary: The Interme- diate Progenitor Model (IPM) of cortical folding states that regional patterning of self-amplication of intermediate progenitor cells (IPCs) in the subventricular zone of the LV corresponds with the formation of cortical folding. Because of this biological debate and lack of experimental data, we have created a spatio-temporal mathematical model of cortical folding patterns in the brain. keywords: domain; folding; growth; model; pattern; system; turing; vol cache: biomath-12.pdf plain text: biomath-12.txt item: #11 of 127 id: biomath-1220 author: Lachowicz, Miroslaw title: A class of individual-based models date: 2018-04-15 words: 4593 flesch: 67 summary: [3] J. Banasiak and M. Lachowicz, Methods of small parameter in mathematical biology, Birkhäuser/Springer, Cham, Basel 2014. [7] M. Debowski, M. Lachowicz, and Z. Szymańska, Microscopic description of DNA thermal denaturation, to appear. keywords: individual; lachowicz; microscopic cache: biomath-1220.pdf plain text: biomath-1220.txt item: #12 of 127 id: biomath-1258 author: Welker, Jonathan Shane; Martcheva, Maia title: A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs date: 2019-01-23 words: 6368 flesch: 69 summary: Infected hosts at time t hosts i(t,x) Density of hosts infected x time units ago at time t hosts / [time t] ΛH Birth rate of hosts hosts / keywords: dogs; host; igg; model; parasite; rate; system; time cache: biomath-1258.pdf plain text: biomath-1258.txt item: #13 of 127 id: biomath-1267 author: Anguelov, Roumen; Kyurkchiev, Nikolay; Markov, Svetoslav title: Some properties of the Blumberg's hyper-log-logistic curve date: 2018-08-14 words: 3652 flesch: 63 summary: [9] A. A. BLUMBERG, Logistic growth rate functions, J. Theoret. [12] A. TSOULARIS, Analysis of logistic growth models, Les. keywords: distance; function; hyper; logistic cache: biomath-1267.pdf plain text: biomath-1267.txt item: #14 of 127 id: biomath-1270 author: Yokley, Karen A; Ashcraft, Jaclyn; Luke, Nicholas S title: A computational investigation of the ventilation structure and maximum rate of metabolism for a physiologically based pharmacokinetic (PBPK) model of inhaled xylene date: 2019-02-04 words: 7612 flesch: 51 summary: Figure (a) contains equilibrium model output and Figure (b) contains non-equilibrium model output. = 2. Figure (a) contains equilibrium model output and Figure (b) contains non-equilibrium model output. keywords: blood; data; equilibrium; equilibrium model; model; non; output; v xylmaxc; values; xylene; xylmaxc cache: biomath-1270.pdf plain text: biomath-1270.txt item: #15 of 127 id: biomath-1271 author: Yatat, Valaire Djeumen; Tchuinté, Alexis; Dumont, Yves; Couteron, Pierre title: A tribute to the use of minimalistic spatially-implicit models of savanna vegetation dynamics to address broad spatial scales in spite of scarce data date: 2018-12-20 words: 16203 flesch: 62 summary: However, it is questionable to model fire as a permanent forcing that continuously removes frac- tions of fire sensitive biomass all over the year. Grass feed- backs on fire stabilize savannas. keywords: accatino; accatino et; biomass; couteron; djeumen; dumont; dynamics; et al; figure; fire; forest; frequency; grass; http://dx.doi.org/10.11145/j.biomath.2018.12.167; i.v; modelling; models; page; rainfall; savanna; tamen; tamen et; tchuinté; tchuinté tamen; tree; tribute; url; use; vegetation; woody; yatat cache: biomath-1271.pdf plain text: biomath-1271.txt item: #16 of 127 id: biomath-1282 author: Purnichescu Purtan, Raluca; Badralexi, Irina title: A stochastic model for intracellular active transport date: 2018-12-18 words: 4957 flesch: 54 summary: From a mathematical point of view, the intracellular active transport is modelled by two independent continuous-time, discrete space Markov chains: one for the dynamics of the molecular motor in the space intervals and one for the domain of target. Unlike the previous studies, in our research, the unidirectional active transport is modelled by two independent continuous-time, discrete space Markov chains: one for the dynamics of the molec- ular motor in the space intervals (outside the target domain) and one for the domain of target. keywords: domain; motor; movement; probability; state; target; time; transport cache: biomath-1282.pdf plain text: biomath-1282.txt item: #17 of 127 id: biomath-1283 author: Adeniji, Adejimi Adesola; Fedotov, Igor; Shatalov, Michael Y. title: Inverse problem of the Holling-Tanner model and its solution date: 2018-12-19 words: 4374 flesch: 62 summary: 19 December 2018 Abstract—In this paper we undertake to consider the inverse problem of parameter identification of nonlinear system of ordinary differential equations for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval. In the present paper we consider the inverse problem of parameter identification of the Holling-Tanner predator-prey model [5], [6]. keywords: method; model; parameters; problem; solution; tanner cache: biomath-1283.pdf plain text: biomath-1283.txt item: #18 of 127 id: biomath-1284 author: Diouf, Abdoulaye; Camara, Baba Issa; Ngom, Diene; Toumi, Hela; Felten, Vincent; Masfaraud, Jean-Francois; Ferard, Jean-Francois title: Bayesian inference of a dynamical model evaluating Deltamethrin effect on Daphnia survival date: 2018-12-23 words: 5151 flesch: 52 summary: Bayesian inference can be a very sophisticated tool for survival data analysis. Survival data analyses in eco- toxicology: critical effect concentrations, methods and models. keywords: analysis; bayesian; daphnia; data; guts; http://dx.doi.org/10.11145/j.biomath.2018.12.177; inference; model; parameters; survival; threshold cache: biomath-1284.pdf plain text: biomath-1284.txt item: #19 of 127 id: biomath-1286 author: Anguelov, Roumen; Bekker, Rebecca; Dumont, Yves title: Bi-stable dynamics of a host-pathogen model date: 2019-01-23 words: 7301 flesch: 64 summary: When solutions of model (33) are initiated with pathogen and infectious hosts at the level of EE2, on the left boundary, a field of completely susceptible hosts will experience a travelling infection front. [6] C.A. Gilligan (1985), Construction of temporal models: III. keywords: conditions; host; http://dx.doi.org/10.11145/j.biomath.2019.01.029; model; parameter; pathogen; pfe cache: biomath-1286.pdf plain text: biomath-1286.txt item: #20 of 127 id: biomath-1287 author: Anita, Sebastian; Beretta, Edoardo; Capasso, Vincenzo title: Optimal control strategies for a class of vector borne diseases, exemplified by a toy model for malaria date: 2019-10-13 words: 9889 flesch: 63 summary: ∈ G; on the other side they must be taken also into account the costs deriving from loss of work hours, hospitalization, and alike asso- ciated with the infected human population (`(u2)), and the general costs associated with the specific choice of the subregion of intervention ω ⊂ Ω ( by assigning a suitable function α(x), x ∈ Ω, the specific costs related to the logistic structure of the habitat can be taken into account) . As far as the “local incidence” for mosquitoes, at point x ∈ Ω, and time t ≥ 0, as in previous models [16], we assume that it is due to contagious bites to human infectives at any point x′ ∈ Ω of the habitat, within a spatial neighborhood of x represented by a suitable probability kernel k(x,x′), depending on the specific structure of the local ecosystem (see also [43]); as a trivial sim- plification one may assume k(x, ·) as a Gaussian density centered at x; hence the “local incidence” for mosquitoes, at point x ∈ Ω, and time t ≥ 0, is taken as (i.r.)M (x,t) = ∫ Ω k(x,x′)u2(x ′, t)dx′ . keywords: aniţa; capasso; control; http://dx.doi.org/10.11145/j.biomath.2019.09.157; human; malaria; model; mosquitoes; optimal; population; strategies; time; vector cache: biomath-1287.pdf plain text: biomath-1287.txt item: #21 of 127 id: biomath-1288 author: Pichor, Katarzyna; Rudnicki, Ryszard title: One and two-phase cell cycle models date: 2019-06-01 words: 9272 flesch: 69 summary: [28] M.C. Mackey and R. Rudnicki, A new criterion for global stability of cell simultaneous cell replication and maturation processes, J. Math. These results will be applied to mod- els of cell cycle presented in the next sections. keywords: cell; cell cycle; cycle; equation; http://dx.doi.org/10.11145/j.biomath.2019.05.261; maturity; models; p(t)}t≥0; phase; rudnicki; semigroup; stochastic; time cache: biomath-1288.pdf plain text: biomath-1288.txt item: #22 of 127 id: biomath-1293 author: Clairambault, Jean; Pouchol, Camille title: A survey of adaptive cell population dynamics models of emergence of drug resistance in cancer, and open questions about evolution and cancer date: 2019-05-24 words: 14269 flesch: 45 summary: Following the theme of cancer cell plastic- ity, an interesting notion has recently emerged, the so-called bet hedging fail-safe strategy of cancer cell populations Plasticity in cancer cells, i.e., epigenetic [30], [64] (much faster than genetic mutations, and reversible) propension to reversal to a stem- like, de-differentiated phenotypic status, result- ing in fast adaptability of cancer cell popula- tions, makes them amenable to resist abrupt drug insult (high doses of cytotoxic drugs, ion- ising radiations, very low oxygen concentrations in the cellular medium) as response to cellular stress. keywords: cancer; cancer cell; cell; cell population; clairambault; control; drug; drug resistance; dynamics; emergence; evolution; genes; http://dx.doi.org/10.11145/j.biomath.2019.05.147; models; optimal; phenotype; population; pouchol; resistance; survey; system; tumour cache: biomath-1293.pdf plain text: biomath-1293.txt item: #23 of 127 id: biomath-1298 author: Markov, Svetoslav Marinov title: Reaction networks reveal new links between Gompertz and Verhulst growth functions date: 2019-04-21 words: 8204 flesch: 57 summary: Reaction network (34) involv- ing species S,Z,X induces the following mixed Verhulst-Gompertz differential equation for the g- function x: x′ = k2x(c−x− c1xρ), (35) Biomath 8 (2019), 1904167, http://dx.doi.org/10.11145/j.biomath.2019.04.167 Page 10 of 14 http://dx.doi.org/10.11145/j.biomath.2019.04.167 S. Markov, Reaction networks reveal new links between Gompertz and Verhulst growth functions where ρ = k1/k2, c,c1 = const, or, equivalently, x′ = k2x exp(−k1t)/(1 + exp(−k1t), (36) The reaction network involving species S,X,P : S k1−→ P S + X k2−→ 2X + S (22) induces Gompertz reaction equations (19), resp. keywords: equation; gompertz; growth; logistic; model; network; reaction; reaction network; species; system cache: biomath-1298.pdf plain text: biomath-1298.txt item: #24 of 127 id: biomath-13 author: Vitanov, Nikolay Kolev; Dimitrova, Zlatinka Ivanova title: On Waves and Distributions in Population Dynamics date: 2012-09-28 words: 4327 flesch: 69 summary: We note that the equations of the kind of Eqs.(9) and (10) are often used as model equations in population dynam- ics not only for small values of population densities but also for large values of these densities, i.e., for large ρi. III. Below we shall investigate two kinds of population dynamics models that account for each of these effects. keywords: case; dynamics; equation; population cache: biomath-13.pdf plain text: biomath-13.txt item: #25 of 127 id: biomath-1305 author: Dimitrova, Neli; Krastanov, Mikhail title: Model-based control strategies for anaerobic digestion processes date: 2019-08-17 words: 10288 flesch: 66 summary: The ADM1 and its variations are complex mod- els suitable for process knowledge and simulation, but not appropriate for process control and soft- ware sensors design, because they require a plenty of input parameters which are difficult to obtain. Citation: Neli Dimitrova, Mikhail Krastanov, Model-based control strategies for anaerobic digestion processes, Biomath 8 (2019), 1907127, http://dx.doi.org/10.11145/j.biomath.2019.07.127 Page 1 of 17 http://www.biomathforum.org/biomath/index.php/biomath https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ http://dx.doi.org/10.11145/j.biomath.2019.07.127 Neli Dimitrova, Mikhail Krastanov, Model-based control strategies for anaerobic digestion processes is called biomass. keywords: anaerobic; assumption; control; digestion; dimitrova; http://dx.doi.org/10.11145/j.biomath.2019.07.127; model; point; processes; set; system cache: biomath-1305.pdf plain text: biomath-1305.txt item: #26 of 127 id: biomath-1316 author: Choi, Boseung; Busch, Sydney; Kazadi, Dieudonne; Kebela, Benoit; Okitolonda, Emile; Dai, Yi; Lumpkin, Robert M; Khuda Bukhsh, Wasiur Rahman; Saucedo, Omar; Yotebieng, Marcel; Tien, Joe; Kenah, Eben B; Rempala, Grzegorz A title: Modeling outbreak data: Analysis of a 2012 Ebola virus disease epidemic in DRC date: 2019-10-15 words: 7449 flesch: 55 summary: Consequently, there has been an out- pouring of Ebola models including deterministic compartmental models [38]–[40], stochastic mod- els [41]–[44] and multi-type branching process models [45]. The interesting feature of this dataset is that it includes partial contact information on Ebola cases treated either in the community or in healthcare facilities, which allows for network-based inference. keywords: analysis; cases; community; data; disease; distribution; ebola; epidemic; etc; model; outbreak; survival; transmission; virus; vol cache: biomath-1316.pdf plain text: biomath-1316.txt item: #27 of 127 id: biomath-1318 author: Bukkuri, Anuraag title: Optimal control analysis of combined chemotherapy-immunotherapy treatment regimens in a PKPD cancer evolution model date: 2020-03-02 words: 5660 flesch: 56 summary: Though the immune system can naturally pre- vent/slow cancer growth, cancer cells have evolved many ways to bypass the body’s immune system such as having genetic mutations which make them harder to detect by the immune system, having surface proteins which deactivate immune cells, and changing the healthy cells surrounding the tumor so that they interfere with the immune response to cancer. There is, though, a burgeoning area of medical research focused on the elimination of the Tudor-SN pro- tein from cancer cells using CRISPR-Cas9 gene editing techniques. keywords: analysis; cancer; cells; chemotherapy; control; effector; immunotherapy; optimal; treatment; tumor cache: biomath-1318.pdf plain text: biomath-1318.txt item: #28 of 127 id: biomath-1321 author: Mohamad, Abdul Adheem; Yashiro, Tsukasa title: A rewinding model for replicons with DNA-links date: 2020-02-23 words: 3926 flesch: 69 summary: Link diagrams of a usual link (left) and linearly very long double helix (right). This paper is organised as such: In Section II knots, links and linking numbers are introduced. keywords: diagram; dna; http://dx.doi.org/10.11145/j.biomath.2020.01.047; link; model; number; unknotting cache: biomath-1321.pdf plain text: biomath-1321.txt item: #29 of 127 id: biomath-1323 author: Mbatumutima, Vianney; Thron, Christopher; Todjihounde, Leonard title: Enumerative numerical solution for optimal control using treatment and vaccination for an SIS epidemic model date: 2019-12-18 words: 9848 flesch: 61 summary: We determined necessary conditions for optimal control treatment and necessary conditions for optimal control vaccination with simplified cost function. Keywords-Epidemic model, vaccination, treat- ment, optimal control, numerical method, enumer- ative method, global optimum. keywords: algorithm; conditions; control; cost; epidemic; function; http://dx.doi.org/10.11145/j.biomath.2019.12.137; method; model; numerical; solution; strategy; time; treatment; vaccination cache: biomath-1323.pdf plain text: biomath-1323.txt item: #30 of 127 id: biomath-1327 author: Adak, Debadatta; Bairagi, Nandadulal; Hakl, Robert title: Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells date: 2020-12-31 words: 11023 flesch: 72 summary: [29] D. Adak and N. Bairagi, Analysis and computation of multi-pathways and multi-delays HIV-1 infection model, Applied Math. The above model generalizes a large number of HIV-1 infection model. keywords: cd4+t; cells; delay; equilibrium; hiv; http://dx.doi.org/10.11145/j.biomath.2020.12.297; infection; model; rate; stability; stable; system; virus; vol cache: biomath-1327.pdf plain text: biomath-1327.txt item: #31 of 127 id: biomath-1333 author: Kyurkchiev, Nikolay V. title: A new class of activation functions. Some related problems and applications date: 2020-05-17 words: 4235 flesch: 66 summary: In antenna-feeder technique most often occurred signals are of types shown on Fig. 6 – Fig. 7. For β even, the corresponding approximation using model (7) is shown in Fig. 6. For β odd, the corresponding approximation using new activation function A(t; β) is shown in Fig. = 6, q = 0.1; t0 = 0.800514; keywords: applications; fig; function; kyurkchiev; model cache: biomath-1333.pdf plain text: biomath-1333.txt item: #32 of 127 id: biomath-1335 author: Rabiu, Musa; Willie, Robert; Parumasur, Nabendra title: Analysis of a virus-resistant HIV-1 model with behavior change in non-progressors date: 2020-08-08 words: 8838 flesch: 65 summary: Immediately after HIV infection, the lympho- cytes, or white blood cells, known as CD4+ T cells are the major target. Innate immunity in resistance to HIV infection. keywords: abstinence; aids; analysis; behavior; change; endemic; equilibrium; hiv; hiv-1; http://dx.doi.org/10.11145/j.biomath.2020.06.143; model; virus cache: biomath-1335.pdf plain text: biomath-1335.txt item: #33 of 127 id: biomath-1342 author: Bukkuri, Anuraag title: The impact of infected T lymphocyte burst rate and viral shedding rate on optimal treatment scheduling in a human immunodeficiency virus infection date: 2020-09-12 words: 5397 flesch: 61 summary: Abstract—We consider a mathematical model of human immunodeficiency virus (HIV) infection dy- namics of T lymphocyte (T cell), infected T cell, and viral populations under reverse transcriptase inhibitor (RTI) and protease inhibitor (PI) treat- ment. Existence, uniqueness, and characterization of optimal treatment profiles which minimize total amount of drug used, viral, and infected T cell populations, while maximizing levels of T cells are determined analytically. keywords: burst; cells; control; hiv; http://dx.doi.org/10.11145/j.biomath.2020.08.173; impact; infected; optimal; rate; shedding; treatment cache: biomath-1342.pdf plain text: biomath-1342.txt item: #34 of 127 id: biomath-1343 author: Kojouharov, Hristo V title: COVID-19 Research Communications (Editorial) date: 2020-05-04 words: 342 flesch: 18 summary: www.biomathforum.org/biomath/index.php/biomath COVID-19 Research Communications (Editorial) Citation: Hristo Kojouharov, COVID-19 Research Communications (Editorial), Biomath 9 (2020), 2005047, http://dx.doi.org/10.11145/j.biomath.2020.05.047 Page 1 of 1 http://www.biomathforum.org/biomath/index.php/biomath https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ http://dx.doi.org/10.11145/j.biomath.2020.05.047 keywords: research cache: biomath-1343.pdf plain text: biomath-1343.txt item: #35 of 127 id: biomath-1344 author: Anguelov, Roumen; Banasiak, Jacek; Bright, Chelsea; Lubuma, Jean; Ouifki, Rachid title: The big unknown: The asymptomatic spread of COVID-19 date: 2020-05-11 words: 4267 flesch: 51 summary: More specifically, the total number of symptomatic cases, past and present, is given by I + H + RIH + D. Similarly the total number of all cases, past and present, is A + I + H + R + D, where R = RA + RIH. + RIH(t) + D(t), that is, this cumulative distribution is exactly the total number of symptomatic cases, past and present. keywords: asymptomatic; cases; covid-19; http://dx.doi.org/10.11145/j.biomath.2020.05.103; population; spread; total cache: biomath-1344.pdf plain text: biomath-1344.txt item: #36 of 127 id: biomath-1366 author: Miller, John J. H.; O'Riordan, Eugene title: Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics date: 2020-09-12 words: 5639 flesch: 79 summary: Citation: John J. H. Miller, Eugene O’Riordan, Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics, Biomath 9 (2020), 2008227, http://dx.doi.org/10.11145/j.biomath.2020.08.227 Page 1 of 12 http://www.biomathforum.org/biomath/index.php/biomath https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ http://dx.doi.org/10.11145/j.biomath.2020.08.227 J. J. H. Miller, E. O’Riordan, Robust numerical method for a singularly perturbed problem arising in ... constructed piecewise uniform mesh and an ap- propriate standard finite difference operator to deal with the steep gradients that appear initially, see for example [6]. Biomath 9 (2020), 2008227, http://dx.doi.org/10.11145/j.biomath.2020.08.227 Page 2 of 12 http://dx.doi.org/10.11145/j.biomath.2020.08.227 J. J. H. Miller, E. O’Riordan, Robust numerical method for a singularly perturbed problem arising in ... keywords: mesh; numerical; u(tj cache: biomath-1366.pdf plain text: biomath-1366.txt item: #37 of 127 id: biomath-1374 author: Ndam, Joel N. title: Modelling the impacts of lockdown and isolation on the eradication of COVID-19 date: 2020-10-26 words: 3030 flesch: 58 summary: Epidemiological models with quadratic equation for endemic equilibria - A bifurcation atlas, Mathematical Methods in Applied Sciences, (2002) 1-17. Time-Course solution of model equations with relaxed lockdown. keywords: covid-19; disease; equilibrium; isolation; lockdown cache: biomath-1374.pdf plain text: biomath-1374.txt item: #38 of 127 id: biomath-1378 author: Pal, Debkumar; Ghosh, D; Santra, P K; Mahapatra, G S title: Mathematical modeling and analysis of Covid-19 infection spreads in India with restricted optimal treatment on disease incidence date: 2021-07-17 words: 9738 flesch: 61 summary: www.biomathforum.org/biomath/index.php/biomath ORIGINAL ARTICLE Mathematical modeling and analysis of Covid-19 infection spreads with restricted optimal treatment of disease incidence D. Pal1,∗, D. Ghosh2, P.K. Santra3, G.S. Mahapatra2 Citation: D Pal, D Ghosh, P K Santra, G S Mahapatra, Mathematical modeling and analysis of Covid-19 infection spreads with restricted optimal treatment of disease incidence, Biomath 10 (2021), 2106147, http://dx.doi.org/10.11145/j.biomath.2021.06.147 Page 1 of 20 http://www.biomathforum.org/biomath/index.php/biomath https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ http://dx.doi.org/10.11145/j.biomath.2021.06.147 D Pal, D Ghosh, P K Santra, G S Mahapatra, Mathematical modeling and analysis of Covid-19 ... epidemiology is still being explained [2]. keywords: analysis; control; covid-19; disease; http://dx.doi.org/10.11145/j.biomath.2021.06.147; individuals; infection; model; population; system; treatment cache: biomath-1378.pdf plain text: biomath-1378.txt item: #39 of 127 id: biomath-1381 author: Machingauta, Mandidayingeyi Hellen; Lungu, Bwayla; Lungu, Edward M title: COVID-19 changing the face of the world. Can sub-Sahara Africa cope? date: 2021-03-29 words: 12265 flesch: 65 summary: The problems sub-Sahara Africa will face will be compounded but not limited to the following: The low standards of good sanitary and hy- giene measures may present an environment that Biomath 10 (2021), 2103117, http://dx.doi.org/10.11145/j.biomath.2021.03.117 Page 2 of 23 http://dx.doi.org/10.11145/j.biomath.2021.03.117 M H Machingauta, B Lungu, E M Lungu, COVID-19 changing the face of the world. This is justified on the basis that Italian family bonds are similar to sub-Sahara Africa. keywords: africa; community; controls; covid-19; disease; face; hospital; household; http://dx.doi.org/10.11145/j.biomath.2021.03.117; individuals; infectives; lockdown; lungu; number; rate; sahara; sub; world cache: biomath-1381.pdf plain text: biomath-1381.txt item: #40 of 127 id: biomath-1390 author: Tchoumi, S Y; Kouakep, Y T; Fotsa, D J M; Kamba, F G T; Kamgang, J C; Houpa, D D E title: Mathematical model for acquiring immunity to malaria: a PDE approach date: 2021-09-12 words: 6863 flesch: 67 summary: γ(t, θ)Rh(t, θ) that includes through β(t), the impact of the ”new bites of mosquitoes” on all the Rh(t, s)’- recovered individuals who moves to a next stage of new individuals with a greater level of immunity θ > s. Biomath 10 (2021), 2107227, http://dx.doi.org/10.11145/j.biomath.2021.07.227 Page 3 of 14 http://dx.doi.org/10.11145/j.biomath.2021.07.227 S Y Tchoumi et al., Mathematical model for acquiring immunity to malaria: a PDE ... A. Model equation The formulation and construction of the model’s equations (for t, θ > 0) are given by:  dSh(t) dt = Γh(t)+ ∫ 1 0(γ(t,θ ′)−g(t,θ))Rh(t,θ′)dθ′ −β(t)Sh(t)− µh(t)Sh(t) dIh(t) In figures 3a, 3b, 3c, 3d and Fig 4, one could again say that the proportion p1 of recovered individuals with a premunition Biomath 10 (2021), 2107227, http://dx.doi.org/10.11145/j.biomath.2021.07.227 Page 9 of 14 http://dx.doi.org/10.11145/j.biomath.2021.07.227 S Y Tchoumi et al., Mathematical model for acquiring immunity to malaria: a PDE ... (a) Suceptibles humans, (e = 159∗365 , g(t, θ) = (1 − 0.2466)γ(t, θ)) (b) Infectious humans (e = 159∗365 , g(t, θ) = (1 − 0.2466)γ(t, θ)) (c) Susceptible mosquitoes (e = 159∗365 , g(t, θ) = (1 − 0.2466)γ(t, θ)) (d) Infected mosquitoes (e = 159∗365 , g(t, θ) = (1 − 0.2466)γ(t, θ)) Fig. 1: Dynamics of the model (1) using P2 with e keywords: http://dx.doi.org/10.11145/j.biomath.2021.07.227; humans; immunity; malaria; mathematical; model; mosquitoes; premunition; rate cache: biomath-1390.pdf plain text: biomath-1390.txt item: #41 of 127 id: biomath-14 author: Uzureau, Alexandre; Coudiere, Yves; Saad, Mazen title: An Upstream Finite Volume Scheme for a Bone Healing Model date: 2012-09-28 words: 3043 flesch: 63 summary: http://dx.doi.org/10.1002/mabi.200400026 [4] L. Geris, A. Gerisch, J. Sloten, R. Weiner, and H. Oosterwyck, “Angiogenesis in bone fracture healing: a bioregulatory model”, Journal of theoretical biology, vol. In order to simulate bone healing, we need a nu- merical scheme that approximate the solutions to the equations (1) to (4). keywords: bone; healing; model cache: biomath-14.pdf plain text: biomath-14.txt item: #42 of 127 id: biomath-1408 author: Herrera, Candy; Duque, Cosme Ramon; Leiva, Hugo title: Qualitative analysis of a mathematical model about population of green turtles on the Galapagos island date: 2021-10-01 words: 5058 flesch: 59 summary: Below the pivotal temperature, hatchling sex population will be mostly male; and above, it will be mostly female[6], [7], [8]. This developmental process, together with the complex mating and nesting behavior and the vulnerability of sea turtles to threats of a natural or anthropogenic nature, naturally lead to the study of the population dynamics of the species. keywords: population; sea; system; temperature; turtles cache: biomath-1408.pdf plain text: biomath-1408.txt item: #43 of 127 id: biomath-1410 author: Akimenko, Vitalii; Adi-Kusumo, Fajar title: Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method date: 2021-12-06 words: 11460 flesch: 68 summary: Cell population dynamics is described by the initial-boundary value problem for the delayed semi-linear hyperbolic equations with age- and time-dependent coefficients and HPV dynamics is described by the initial problem for nonlinear delayed ODE. The need for integration of cell life-histories with population dynamics moti- vates the development of age-structured, and more generally, physiologically structured, population models in cell population dynamics and tumor growth modelling keywords: age; cancer; cells; dynamics; epidemic; hpv; http://dx.doi.org/10.11145/j.biomath.2021.10.027; model; numerical; population; solution cache: biomath-1410.pdf plain text: biomath-1410.txt item: #44 of 127 id: biomath-1421 author: Banasiak, Jacek; Ouifki, Rachid; Woldegerima, Woldegebriel Assefa title: Some mathematical tools for modelling malaria: a subjective survey date: 2021-10-13 words: 11448 flesch: 52 summary: [58], malaria models have indeed become increasingly involved, making their robust analysis difficult if not impossible. For instance, in malaria models, mosquitoes’ vital dynamics occurs on a much faster time scale (average lifes- pan of fewer than 21 days) than that of humans (average lifespan of around 65 years). keywords: data; dynamics; http://dx.doi.org/10.11145/j.biomath.2021.10.029; human; infection; malaria; malaria transmission; mathematical; model; modelling; mosquito; number; population; transmission cache: biomath-1421.pdf plain text: biomath-1421.txt item: #45 of 127 id: biomath-1423 author: Al-Maqrashi, Kifah; Al-Musalhi, Fatma; ELmojtaba, Ibrahim; Al-Salti, Nasser title: Investigating the Role of Mobility between Rural Areas and Forests on the Spread of Zika date: 2022-12-22 words: 9115 flesch: 59 summary: Zika disease is characterized by mild symptoms in- cluding fever, headache, maculopapular rash, joint and muscle pain, conjunctivitis, etc. [8] E. Bonyah, M. A. Khan, K. O. Okosun, S. Islam, “A theoretical model for Zika virus transmission”, PLoS ONE, 12(10):e0185540, 2017. keywords: analysis; areas; disease; forest; humans; model; mosquitoes; number; reproduction; transmission; zika cache: biomath-1423.pdf plain text: biomath-1423.txt item: #46 of 127 id: biomath-1428 author: Safonov, Vladimir; Ermakov, Vadim; Danilova, Valentina; Yakimenko, Vyacheslav title: Relationship between blood superoxide dismutase activity and zinc, copper, glutathione and metallothioneines concentrations in calves date: 2021-12-28 words: 4785 flesch: 53 summary: Citation: Vladimir Safonov, Vadim Ermakov, Valentina Danilova, Vyacheslav Yakimenko, Relationship between blood superoxide dismutase activity and zinc, copper, glutathione and metallothioneines concentrations in calves, Biomath 10 (2021), 2111247, http://dx.doi.org/10.11145/j.biomath.2021.11.247 Page 1 of 9 http://www.biomathforum.org/biomath/index.php/biomath https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ http://dx.doi.org/10.11145/j.biomath.2021.11.247 V Safonov, V Ermakov, V Danilova, V Yakimenko, Relationship between blood superoxide dismutase ... to meet the body’s energy needs. Copper and zinc concentrations in blood were determined by atomic absorption spectroscopy (AAS) in the flame version using the CORTEC Biomath 10 (2021), 2111247, http://dx.doi.org/10.11145/j.biomath.2021.11.247 Page 3 of 9 http://dx.doi.org/10.11145/j.biomath.2021.11.247 V Safonov, V Ermakov, V Danilova, V Yakimenko, Relationship between blood superoxide dismutase ... keywords: activity; antioxidant; blood; calves; concentration; copper; dismutase; glutathione; relationship; sod; superoxide; vol; zinc cache: biomath-1428.pdf plain text: biomath-1428.txt item: #47 of 127 id: biomath-1433 author: Markov, Svetoslav Marinov title: The Gompertz model revisited and modified using reaction networks: Mathematical analysis date: 2021-10-04 words: 12268 flesch: 63 summary: For the logarithmic (relative) growth rate rx = rx(t) of Gompertz growth function x we obtain: rx = (ln x) www.biomathforum.org/biomath/index.php/biomath ORIGINAL ARTICLE The Gompertz model revisited and modified using reaction networks: Mathematical analysis Svetoslav M. Markov Institute of Mathematics and Informatics Bulgarian Academy of Sciences smarkov@bio.bas.bg The paper is dedicated to Prof. Dr. Roumen Anguelov on the occasion of his 65th birthday. keywords: decay; function; gompertz; growth; model; network; rate; reaction; species cache: biomath-1433.pdf plain text: biomath-1433.txt item: #48 of 127 id: biomath-1448 author: Koprinkova, Petia; Nedelcheva, Simona title: Spike timing neural network model of conscious visual perception date: 2022-04-19 words: 3493 flesch: 51 summary: Citation: Petia Koprinkova-Hristova, Simona Nedelcheva, Spike timing neural network model of conscious visual perception, Biomath 11 (2022), 2202258, https://doi.org/10.55630/j.biomath.2022.02.258 Page 1 of 10 https://biomath.math.bas.bg/biomath/index.php/biomath mailto:petia.koprinkova@iict.bas.bg mailto:simona.nedelcheva@iict.bas.bg https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ https://doi.org/10.55630/j.biomath.2022.02.258 Petia Koprinkova-Hristova, Simona Nedelcheva, Spike timing neural network model of conscious ... We conducted simulation experiments changing the key parame- ters of our spike timing neural network model of visual perception and decision making that are sup- posed to be related to conscious perception, namely bottom-up and top-down connections between tha- lamic relay, including Thalamic reticulate nucleus (TRN) and Lateral geniculate nucleus (LGN), and primary visual cortex (V1). keywords: feedback; https://doi.org/10.55630/j.biomath.2022.02.258; model; neural; scaling cache: biomath-1448.pdf plain text: biomath-1448.txt item: #49 of 127 id: biomath-1450 author: Mayanja, Edison; Luboobi, Livingstone S.; Kasozi, Juma; Nsubuga, Rebecca N. title: Mathematical Modelling of HIV-HCV Co-infection Dynamics in Presence of HIV Therapy date: 2022-08-11 words: 10914 flesch: 52 summary: -infection with HCV complicates the management of HIV by increasing the risk of death among HIV infected individuals. In this work, the rate at which HIV infected individuals are identified and put on HIV treatment has been assumed to be 0.12, that is: δi=1,2,3 = 0.12. keywords: = δ; acute; acute hcv; class; dynamics; hcv; hiv; hiv infection; hiv treatment; individuals; infection; mathematical; model; rate; values cache: biomath-1450.pdf plain text: biomath-1450.txt item: #50 of 127 id: biomath-1454 author: Mohamad, Abdul Adheem; Yashiro, Tsukasa title: Topological Process of Splitting DNA-Links date: 2022-05-16 words: 6644 flesch: 70 summary: Biomath 11 (2022), 2203288, https://doi.org/10.55630/j.biomath.2022.03.288 Page 12 of 12 https://doi.org/10.3390/molecules26113375 https://doi.org/10.1016/j.jmb.2021.166847 https://doi.org/10.1073/pnas.1106834108 https://doi.org/10.4161/cc.10.9.15293 https://doi.org/10.55630/j.biomath.2022.03.288 Introduction DNA replication Topoisomerases DNA-links Links Topological semi-conservative scheme Linking number Unknotting operations A reduction process This paper is organized as such: Section II is a brief description of DNA replication. keywords: crossings; dna; knot; link; linking; number; process; type cache: biomath-1454.pdf plain text: biomath-1454.txt item: #51 of 127 id: biomath-15 author: Knipl, Diana H; Röst, Gergely title: Multiregional SIR Model with Infection during Transportation date: 2012-09-28 words: 4408 flesch: 80 summary: Based on the assumptions formulated above, we obtain the following system of differential equations for the disease transmission in region j, j ∈ {1, . . Sj , Ij , susceptible, infected, recovered, all Rj , Nj individuals in region j sk,j , ik,j , susceptible, infected, recovered, all rk,j , nk,j individuals during travel from region k to j Λj incidence in region j λk,j incidence during travel from region k to j αj recovery rate of infected individuals in region j αk,j recovery rate during travel from region k to j µj,k travel rate from region j to region k τk,j duration of travel from region k to j norm of any vector v keywords: j(u; region cache: biomath-15.pdf plain text: biomath-15.txt item: #52 of 127 id: biomath-150 author: Roussel, Marc R title: On the Distribution of Transcription Times date: 2013-09-15 words: 10503 flesch: 60 summary: This approximate form might be particularly useful as a function to be fit to experimental transcription time distributions. http://dx.doi.org/10.1038/457974b [12] F. Jülicher, R. Bruinsma, Motion of RNA polymerase along DNA: A stochastic model, Biophys. keywords: distribution; http://dx.doi.org/10.11145/j.biomath.2013.07.247; laplace; model; polymerase; rate; rna; site; stochastic; s−1; times; transcription cache: biomath-150.pdf plain text: biomath-150.txt item: #53 of 127 id: biomath-1501 author: Mahardhika, Lingga Sanjaya Putra; Adi-Kusumo, Fajar; Ertiningsih, Dwi title: Bifurcation analysis of a mathematical model of microalgae growth under the influence of sunlight date: 2023-04-28 words: 5687 flesch: 57 summary: Keywords: Microalgae growth model, Quota cell, Pa- rameter diagram, Bifurcation I. INTRODUCTION Bifurcation analysis of a mathematical model of microalgae growth under the influence of sunlight BIOMATH https://biomath.math.bas.bg/biomath/index.php/biomath B f Biomath Forum ORIGINAL ARTICLE Bifurcation analysis of a mathematical model of microalgae growth under the influence of sunlight Lingga Sanjaya Putra Mahardhika, Fajar Adi-Kusumo∗, Dwi Ertiningsih Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada, Yogyakarta, Indonesia linggasanjaya2018@mail.ugm.ac.id 0000-0001-5063-2848 f adikusumo@ugm.ac.id 0000-0002-1643-4466 dwi ertiningsih@ugm.ac.id 0000-0002-4529-8440 Received: July 9, 2022, Accepted: January 30, 2023, Published: April 28, 2023 keywords: bifurcation; equilibrium; growth; light; microalgae; model; n(t; parameters; point cache: biomath-1501.pdf plain text: biomath-1501.txt item: #54 of 127 id: biomath-1507 author: Arino, Julien; El Hail, Khalid; Khaladi, Mohamed; Ouhinou, Aziz title: A model for the early COVID-19 outbreak in China with case detection and behavioural change date: 2023-01-27 words: 5188 flesch: 41 summary: A model for the early COVID-19 outbreak in China with case detection and behavioural change BIOMATH https://biomath.math.bas.bg/biomath/index.php/biomath B f Biomath Forum ORIGINAL ARTICLE A model for the early COVID-19 outbreak in China with case detection and behavioural change Julien Arino1, Khalid El Hail2,∗, Mohamed Khaladi3, Aziz Ouhinou2 1Department of Mathematics University of Manitoba, Winnipeg, Manitoba, Canada julien.arino@umanitoba.ca 0000-0001-6409-5027 2Department of Mathematics, Faculty of Sciences and Techniques, University of Sultan Moulay Slimane, Beni-Mellal, Morocco elhail.kha@gmail.com 0000-0001-5166-9386 a.ouhinou@usms.ma 0000-0002-0206-4935 3Laboratory of Mathematics and Population Dynamics – UMMISCO, Faculty of Sciences Semlalia, Cadi Ayyad University, Marrakech, Morocco khaladi@uca.ac.ma 0000-0002-7703-5637 Received: November 5, 2022, Accepted: December 20, 2022, Published: January 27, 2023 *Corresponding author Citation: Julien Arino, Khalid El Hail, Mohamed Khaladi, Aziz Ouhinou, A model for the early COVID-19 outbreak in China with case detection and behavioural change, Biomath 11 (2022), 2212207, https://doi.org/10.55630/j.biomath.2022.12.207 1/8 https://biomath.math.bas.bg/biomath/index.php/biomath mailto:julien.arino@umanitoba.ca https://orcid.org/0000-0001-6409-5027 mailto:elhail.kha@gmail.com https://orcid.org/0000-0001-5166-9386 mailto:a.ouhinou@usms.ma https://orcid.org/0000-0002-0206-4935 mailto:khaladi@uca.ac.ma https://orcid.org/0000-0002-7703-5637 https://creativecommons.org/licenses/by/4.0/ https://doi.org/10.55630/j.biomath.2022.12.207 Arino et al, A model for the early COVID-19 outbreak in China with case detection and behavioural change estimated to be 3.2 or 2.6, respectively; daily infection mortality and recovery rates were also estimated. keywords: cases; change; china; covid-19; detection; individuals; measures; model; outbreak; rate cache: biomath-1507.pdf plain text: biomath-1507.txt item: #55 of 127 id: biomath-161 author: Bolboaca, Sorana D.; Jäntschi, Lorentz title: Quantitative Structure-Activity Relationships: Linear Regression Modelling and Validation Strategies by Example date: 2013-09-18 words: 7708 flesch: 56 summary: http://dx.doi.org/10.2174/138161212799436359 [7] S. Kar, O. Deeb, and K. Roy, ”Development of classification and regression based QSAR models to predict rodent carcinogenic potency using oral slope factor,” Ecotoxicol. A low Cp value indicates good model prediction or a model with a small positive/negative discrepancy between Cp and (k+1) - could be used in evaluating candidate regression models. keywords: activity; analysis; binders; compounds; linear; model; regression; set; structure; table; test; training; values; vol cache: biomath-161.pdf plain text: biomath-161.txt item: #56 of 127 id: biomath-162 author: Bakker, Laurens; Poelstra, Andrew title: Calculating Hyphal Surface Area in Models of Fungal Networks date: 2013-09-18 words: 4627 flesch: 61 summary: Topology of the refinement of cylinder boundary intersections (ϕk) induced by the 11 neighbours (ϑk in blue) of the central cell. In filamentous fungi cells do not physically separate and are kept together in filaments called hyphae. keywords: area; cylinder; figure; fungal; http://dx.doi.org/10.11145/j.biomath.2013.09.087; hyphal; models; surface cache: biomath-162.pdf plain text: biomath-162.txt item: #57 of 127 id: biomath-168 author: Kyurkchiev, Nikolay; Iliev, Anton title: On Some Multipoint Methods Arrising from Optimal in the Sense of Kung-Traub Algorithms for Numerical Solution of Nonlinear Equations date: 2013-07-29 words: 4059 flesch: 72 summary: [20] M. Petkovic, On optimal multipoint methods for solving non- linear equations, Novi Sad J. Math. 39 (2009) 123–130. [13] H. Kung and J. Traub, Optimal order of one point and multi- point iteration, ACM 21 (1974) 643–651. keywords: convergence; optimal; order cache: biomath-168.pdf plain text: biomath-168.txt item: #58 of 127 id: biomath-18 author: Markov, Svetoslav title: Blagovest Sendov – Pioneer of Mathematical Modeling in Bulgaria date: 2012-10-11 words: 3351 flesch: 50 summary: In February 2012 Prof. Blagovest Sendov turned 80. On several realistic case studies Prof. Sendov revealed what was to me the philosophy of science. keywords: functions; hausdorff; interval; prof; sendov cache: biomath-18.pdf plain text: biomath-18.txt item: #59 of 127 id: biomath-181 author: Omotuyi, Olaposi Idowu; Ueda, Hiroshi title: Descriptor-based Fitting of LPA3 Inhibitors into a Single Predictive Mathematical Model date: 2014-10-16 words: 4078 flesch: 69 summary: o r g / b Biomath 3 (2014), 1410061, http://dx.doi.org/10.11145/j.biomath.2014.10.061 Page 5 of 7 http://dx.doi.org/10.11145/j.biomath.2014.10.061 O. Omotuyi et al., Descriptor-based Fitting of Lysophosphatidic Acid Receptor 3 ... 1 O N O P O O O O 2 O N O P O O O O 3 O O N N N F Cl 4 O N O P O O O O 5 O P S O O 6 O O O P S O O O O 7 O O N N N O O 8 O N O P O O O O 9 O P O O O 10 O O N N N O O 11 O P S O O 12 O O N O O O 13 O N O P O O O O 14 P O O O 15 O O O N OO N O O O 16 O O O N O O N O O + - 17 O N O P O O O O O 18 O N O P O O O O 19 O P S O O 20 O O O P O O O P O O O OO 21 O P S O O 22 O O O P SO O O O 23 O O N NN N keywords: n n; o n; o o; o pic50; p o; res; s o cache: biomath-181.pdf plain text: biomath-181.txt item: #60 of 127 id: biomath-185 author: Anguelov, Roumen title: The Algebraic Structure of Spaces of Intervals: Contribution of Svetoslav Markov to Interval Analysis and its Applications date: 2014-01-07 words: 1449 flesch: 47 summary: Using an earlier idea of Svetoslav Markov of abstract construction of interval space over a vector lattice, one can show that the set of D-continuous function is a quasi-linear space of intervals over the space of H-continuous functions. [6] R Anguelov, S Markov, Numerical Computations with Haus- dorff Continuous Functions, In: T. Boyanov et al. (Eds.), Nu- merical Methods and Applications 2006 (NMA 2006), Lecture Notes in Computer Science 4310, Springer, 2007, 279–286. keywords: functions; interval; markov; space cache: biomath-185.pdf plain text: biomath-185.txt item: #61 of 127 id: biomath-19 author: Liu, Maoxing; Röst, Gergely title: Dynamics of an SIS Model on Homogeneous Networks with Delayed Reduction of Contact Numbers date: 2012-12-27 words: 4087 flesch: 70 summary: = p(R0q(1 − p) − 1) 6= 0. In disease transmission models, time delay plays an important role in many epidemiological mechanisms. keywords: i(t; model; networks; vol cache: biomath-19.pdf plain text: biomath-19.txt item: #62 of 127 id: biomath-191 author: Nikolova, Elena; Jordanov, Ivan; Vitanov, Nikolay K. title: On Nonlinear Dynamics of the STAT5a Signaling Protein date: 2014-06-03 words: 6091 flesch: 60 summary: k1e1 s1 − k3 s2 − By the modified method of simplest equation to the described reaction-diffusion equation we obtain an analytical solution which explains drop and jump propagation of the STAT5a protein concentration. keywords: concentration; equation; erk; http://dx.doi.org/10.11145/j.biomath.2014.04.131; nonlinear; protein; signaling; stat5a; state; vol cache: biomath-191.pdf plain text: biomath-191.txt item: #63 of 127 id: biomath-194 author: Chamoun, Georges; Saad, Mazen; Talhouk, Raafat title: Mathematical and Numerical Analysis of a Modified Keller-Segel Model with General Diffusive Tensors. date: 2013-12-24 words: 3708 flesch: 66 summary: The basis of Xh is spanned by the shape functions ϕD, D ∈ Dh, such that ϕD(PE) = δDE, E ∈ Dh, δ being the Kronecker delta. N ∈ keywords: model; numerical; scheme; solution; time cache: biomath-194.pdf plain text: biomath-194.txt item: #64 of 127 id: biomath-196 author: Timofte, Claudia title: Multiscale Analysis of Ionic Transport in Periodic Charged Media date: 2014-01-25 words: 3243 flesch: 67 summary: CONCLUSION Using the periodic unfolding method, the macroscopic behavior of the solution of a system of equations de- scribing the ion transport in periodic charged media is analyzed. http://dx.doi.org/10.1007/s11565-007-0018-9 [18] C. Timofte, ”Homogenization results for ionic transport in periodic charged media”, in preparation, 2013. keywords: media; periodic cache: biomath-196.pdf plain text: biomath-196.txt item: #65 of 127 id: biomath-2 author: Pesheva, Nina Christova; Brankov, Jordan Georgiev title: Position-Induced Phase Change in a TASEP with a Double-Chain Section (a Model of Biological Transport) date: 2012-12-21 words: 4699 flesch: 60 summary: Our an- alytical analysis of the allowed phase structures, based on the properties of single chains in the thermodynamic limit, and the neglect of the pair correlations between the nearest-neighbor occupation numbers at the junc- tions of different chain segments, yielded 8 possibilities. This approach—the study of simple model systems, has shown to be very effective in the equilibrium statistical mechanics and now it is in- tensively exploited also in the non-equilibrium case. keywords: chain; defect; density; equilibrium; model; particles; phase; phys; tasep cache: biomath-2.pdf plain text: biomath-2.txt item: #66 of 127 id: biomath-20 author: de Pereda, Diego; Romero-Vivo, Sergio; Ricarte, Beatriz; Bondia, Jorge title: On the Computation of Output Bounds for Compartmental In-Series Models under Parametric Uncertainty date: 2012-12-21 words: 3885 flesch: 62 summary: [3] V. Puig, A. Stancu, and J. Quevedo, “Simulation of uncertain dynamic systems described by interval models: A survey,” in 16th IFAC World Congress, p. 207, 2005. Under the conditions ∂ki,i+1(·) ∂Sj ≥ 0 and ∂ki+1,i(·) ∂Sj ≤ 0, ∀i, j : i ∈ {1, ..., n − 1}, j ∈ {1, ..., n}, we remark that the compartments of model (3) are cooperative among each other if ej ≥ ej+1, ∀j ∈ {1, ..., keywords: model; output; system cache: biomath-20.pdf plain text: biomath-20.txt item: #67 of 127 id: biomath-200 author: Knipl, Diána H; Röst, Gergely title: Backward Bifurcation in SIVS Model with Immigration of Non-Infectives date: 2014-01-07 words: 10214 flesch: 71 summary: it follows that µK − η − ω > 0. (23) ∂ ∂ω (√ B2 − 4AC + B ) = ∂B ∂ω ( B + √ B2 − 4AC ) √ B2 − 4AC + 2σβ((µ + θ + σφ)∂K ∂ω − (1 −σ)) √ B2 − 4AC > 0, ∂ ∂η (√ B2 − 4AC + B ) = ∂B ∂η ( B + √ B2 − 4AC ) √ B2 − 4AC + 2σβ(µ keywords: + µ; bifurcation; equilibrium; θ + cache: biomath-200.pdf plain text: biomath-200.txt item: #68 of 127 id: biomath-205 author: Zduniak, Beata title: Numerical Analysis of the Coupled Modified van der Pol Equations in a Model of Heart Action date: 2014-05-28 words: 3644 flesch: 58 summary: My aim is to compare the influence of these two types of coupling (unidirectional and bidirectional) on the behaviour of the van der Pol system. In papers [5,6], the authors showed that coupled two van der Pol oscillators modelled behaviour of the heart conduction system, and there are described a heart block as pathologies of coupled van der Pol oscillators. keywords: coupling; der; model; node; pol; system; van cache: biomath-205.pdf plain text: biomath-205.txt item: #69 of 127 id: biomath-206 author: Sonner, Stefanie title: A Class of Mathematical Models Describing Processes in Spatially Heterogeneous Biofilm Communities date: 2014-01-08 words: 6762 flesch: 49 summary: The prototype single-species single-substrate model was extended to model biofilms which consist of several types of biomass and account for multiple dissolved substrates. In this section we discuss multi-component biofilm models, that were proposed and studied in [4], [5], [11], [13], [21]. keywords: biofilm; biomass; cells; concentration; diffusion; growth; model; prototype; solutions; system cache: biomath-206.pdf plain text: biomath-206.txt item: #70 of 127 id: biomath-207 author: van der Walt, Jan Harm title: The Linear Space of Hausdorff Continuous Interval Functions date: 2013-12-24 words: 4748 flesch: 75 summary: Every f ∈A(X) may be identified with a pair of (real valued) functions f , f ∈A (X) by setting f (x) Definition 2.2: A function f ∈ A(X) is Hausdorff conitnuous (H-continuous) if f is S-continuous and f = g for every S-continuous function g keywords: continuous cache: biomath-207.pdf plain text: biomath-207.txt item: #71 of 127 id: biomath-208 author: Dufourd, Claire; Weldon, Christopher; Anguelov, Roumen; Dumont, Yves title: Parameter Identification in Population Models for Insects Using Trap Data date: 2013-12-24 words: 6709 flesch: 57 summary: Therefore, when two or more parameters are to be identified, we may conclude that interfering trap settings provide estimates with better accuracy than non-interfering trap settings. According to our method, when several local minima of Φ are found, the identified set of parameter values corresponds to the global minimizer of Φ, that is, the minimizer of the smallest local minimum. keywords: data; identification; insects; model; parameter; population; problem; setting; trap; values; vol cache: biomath-208.pdf plain text: biomath-208.txt item: #72 of 127 id: biomath-209 author: Angulo, Oscar; Lopez-Marcos, J C; Lopez-Marcos, M A title: Numerical Analysis of a Size-Structured Population Model with a Dynamical Resource date: 2014-06-02 words: 6743 flesch: 72 summary: ≤ j ≤ J, S n+1/2 = S n + k 2 f (S n,Q(Xn,γn.Un), tn), U n+1/2j+1 = U n j exp { − k 2 µ∗(Xnj , S n, tn) } , 0 ≤ − S 0|, max 1≤n≤N { max 0≤ j≤J |u(Xnj , t n) − U nj | } , |S (tn) − S n| } and, at the lower number, the experimental order s of the method as computed from s = log (e2h,2k/eh,k )log 2 . keywords: numerical; population; size; time; ≤ j cache: biomath-209.pdf plain text: biomath-209.txt item: #73 of 127 id: biomath-21 author: Schnell, Santiago title: The Art of Mathematical Biology: a Foreword for the Launch of BIOMATH date: 2012-10-09 words: 1143 flesch: 32 summary: Mathematical biologists are now actively seeking collaboration with experimental biologists and the need for real application is being emphasized in mathematical biology research. There are excellent examples in the literature of mathematical biology research that have provided novel and important biological insights. keywords: biology; biomath; research; sciences cache: biomath-21.pdf plain text: biomath-21.txt item: #74 of 127 id: biomath-210 author: Yatat, Valaire; Dumont, Yves; Tewa, Jean Jules; Couteron, Pierre; Bowong, Samuel title: Mathematical Analysis of a Size Structured Tree-Grass Competition Model for Savanna Ecosystems date: 2014-06-03 words: 10584 flesch: 69 summary: However, it is questionable to model fire as a continuous forcing that regularly removes frac- tions of fire sensitive biomass. As we have mentioned before, we consider the class of sensitive tree biomass (TS ), the class of non-sensitive tree biomass (TNS ) and the class of grass biomass (G). keywords: biomass; fire; grass; r t; savanna; tree; µns; γns cache: biomath-210.pdf plain text: biomath-210.txt item: #75 of 127 id: biomath-211 author: Alt, Rene; Lamotte, Jean-Luc title: Stochastic Arithmetic as a Tool to Study the Stability of Biological Models date: 2014-01-16 words: 4465 flesch: 55 summary: Some examples taken from the biological literature are given [1], [6], [7]. Keywords-Stochastic arithmetic, CESTAC method, sta- bility of differential biological models. The detection of instabilities in the numerical solution of differential systems is generally not an easy thing to do. keywords: arithmetic; method; model; solution; stability; stochastic; system cache: biomath-211.pdf plain text: biomath-211.txt item: #76 of 127 id: biomath-213 author: Diouf, Mamadou Lamine; Iggidr, Abderrahman; Sy, Mamadou title: Global Stability of an Epidemic Model with Two Infected Stages and Mass-Action Incidence date: 2014-08-20 words: 4869 flesch: 79 summary: − (β1i1 + β2(1 − i1 −s))s +ds(1 − i1 −s), i̇1 = (β1i1 + β2(1 − i1 −s))s− (b + γ)i1 +di1(1 − i1 −s), (8) defined on the set Ω = {0 ≤ s ≤ 1, 0 ≤ i1 ≤ 1, s + i1 ≤ 1}. − i1 − i2) − (b + γ)i1 +di1i2, i̇2 = keywords: equilibrium; model; stability cache: biomath-213.pdf plain text: biomath-213.txt item: #77 of 127 id: biomath-214 author: Tchuinte, Alexis Tamen; Tewa, Jean-Jules; Couteron, Pierre; Bowong, Samuel; Dumont, Yves title: A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model date: 2014-08-29 words: 10425 flesch: 66 summary: Large trees having crowns above the flame zone (say 2 m high) are rarely affected by fires, but recurrent fires pre- vent a great number of these trees from escaping the flame zone, and tree biomass becomes suffi- ciently low to have no depressure effect on grass biomass production. It is an increasing function of tree biomass. keywords: biomass; coexistence; equilibrium; ete; fig; fire; grass; grass biomass; http://dx.doi.org/10.11145/j.biomath.2014.07.191; impact; model; modeling; savanna; stability; system; tree cache: biomath-214.pdf plain text: biomath-214.txt item: #78 of 127 id: biomath-216 author: Fotsa, David; Houpa, Elvis; Bekolle, David; Thron, Christopher; Ndoumbe, Michel title: Mathematical Modelling and Optimal Control of Anthracnose date: 2014-06-03 words: 9224 flesch: 71 summary: [∫ t 0 A2 (s) ·A1 (s) ds ] X (0) + ∫ t 0 exp [∫ t s A2 (ξ) A1 (ξ) dξ ] A2 (s) B1ds Since −A2 (s) A1 (s) is a M−matrix for every time s ≥ 0, exp t ∈ keywords: 0,t; anthracnose; control; http://dx.doi.org/10.11145/j.biomath.2014.04.161; model; optimal cache: biomath-216.pdf plain text: biomath-216.txt item: #79 of 127 id: biomath-22 author: Anguelov, Roumen title: From the Editor-in-Chief date: 2012-10-11 words: 489 flesch: 37 summary: In order to facilitate the dissemination of the results in this fast developing and exciting research field the Biomath Forum Society has decided to publish under the auspices of the Bulgarian Academy of Sciences a fully peer reviewed scientific international Journal BIOMATH. 23 (1969), 124–134. http://dx.doi.org/10.1016/0022-5193(69)90071-X [4] S. Markov, C. Ullrich (Eds), Special Issue: Biomath 1995, Computers & Mathematics with Applications 32(11) (1996). keywords: biomath; journal cache: biomath-22.pdf plain text: biomath-22.txt item: #80 of 127 id: biomath-223 author: Markov, Svetoslav Marinov title: Cell Growth Models Using Reaction Schemes: Batch Cultivation date: 2014-01-25 words: 5927 flesch: 59 summary: Cell growth models for batch cultivation can be based on reaction schemes, involving reaction steps such as (RSG), (RSP), (RSD), (RSW). Numerical solution of cell growth model (7) using Matlab The values of the parameters used in model (7) are as follows: k1 = 3.48691,k−1 = 0,k2 = 7,β = 41.5095,γ = 86.4424;s0 = 1.4,x0 = 0.00450748. keywords: cell; growth; models; phase; reaction; substrate cache: biomath-223.pdf plain text: biomath-223.txt item: #81 of 127 id: biomath-228 author: Mitov, Ivan title: 130th Anniversary of Prof. Dr. Vladimir Markov date: 2014-02-11 words: 3103 flesch: 51 summary: Academician Vladimir Markov led the battle against the bacteriological weapons till the end of his life. m a t h / Biomath Forum 130th anniversary of Prof. Dr. Vladimir Markov Prof. Ivan Mitov, MD, PhD, Dept. keywords: bulgaria; der; markov; microbiology; prof; vladimir; vladimir markov cache: biomath-228.pdf plain text: biomath-228.txt item: #82 of 127 id: biomath-23 author: Markov, Svetoslav title: From the Guest Editor date: 2012-10-11 words: 261 flesch: 59 summary: More than 40 contributions were submitted for publication in the present BIOMATH proceedings. A special session of BIOMATH 2012 was dedicated to Blagovest Sendov on the occasion of his 80th birthday. keywords: biomath cache: biomath-23.pdf plain text: biomath-23.txt item: #83 of 127 id: biomath-230 author: Castillo-Chavez, Carlos title: Chalenges and Opportunities in Mathematical and Theoretical Biology and Medicine: Foreword to Volume 2 (2013) of Biomath date: 2014-02-15 words: 1096 flesch: 38 summary: In the process, the world has placed mathematical scientists, broadly defined to include computational, computer, statistics and data science experts, at the heart of trans-disciplinary and interdisciplinary efforts aimed primarily at assessing arguably the most important technical challenge of our times, namely, how to model and quantify uncertainty. The challenges faced by mathematical scientist include the development and implementation of frameworks and methods aimed at assessing and mitigating the impact of health disparities; the identification, understanding and management of sustainability concepts and systems; the development and systematic implementation of holistic approaches, a key to the study of the dynamics and control of biological systems; the development of methods and approaches that help evaluate uncertainty in current studies of climate change, including global warming; the need to find scalable solutions that address issues of food security and world hunger; and more. keywords: biomath; challenges; resistance; world cache: biomath-230.pdf plain text: biomath-230.txt item: #84 of 127 id: biomath-232 author: Kostadinova, Krasimira; Minkova, Leda title: On a Bivariate Poisson Negative Binomial Risk Process date: 2014-06-03 words: 3113 flesch: 81 summary: − S 1(t) < 0, u2 + c2t − S 2(t) < 0} = {S 1(t) > u1 + c1t, S 2(t) > u2 + c2t}. In Section III we define a counting process with the Bivariate Poisson Negative Binomial distribution (BPNB). keywords: bivariate cache: biomath-232.pdf plain text: biomath-232.txt item: #85 of 127 id: biomath-24 author: BIOMATH 2012, Organising Committee of title: In Memoriam: Stefan Dodunekov (1945-2012) date: 2012-12-21 words: 483 flesch: 61 summary: The President of the Bulgarian Academy of Sciences Stefan Dodunekov passed away on August 5, 2012, after a short illness at the age of 66. Stefan Dodunekov was twice Chairman of the interna- tional Conferences on Mathematical methods and Mod- els in Biosciences (Biomath 2011 and Biomath 2012). keywords: dodunekov; stefan cache: biomath-24.pdf plain text: biomath-24.txt item: #86 of 127 id: biomath-244 author: Radchenkova, Nadja; Kambourova, Margarita; Vassilev, Spasen; Alt, Rene; Markov, Svetoslav title: On the Mathematical Modelling of EPS Production by a Thermophilic Bacterium date: 2014-07-24 words: 5897 flesch: 48 summary: We believe that using the proposed approach one can study the basic mechanisms underlying the dynamics of cell growth, substrate uptake and product synthesis. The overall goal is to verify as much as possible the reaction scheme approach for cell growth and product synthesis modelling and possibly deter- mine a set of adequate reaction steps. keywords: biomass; cell; data; dividing; eps; experimental; growth; model; modelling; reaction; rpm cache: biomath-244.pdf plain text: biomath-244.txt item: #87 of 127 id: biomath-25 author: Sendov, Blagovest title: Farewell Speech: Stefan Dodunekov (1945-2012) date: 2012-12-27 words: 767 flesch: 68 summary: In the day when he was stricken by the fatal disease, Academician Dodunekov had appointment with three ministers to discuss the specific details of the co-operation with the BAS. Academician Dodunekov had to preside over the meeting of academicians in the upcoming election of new academicians and corresponding members of the BAS. keywords: bas; dodunekov cache: biomath-25.pdf plain text: biomath-25.txt item: #88 of 127 id: biomath-26 author: BIOMATH 2012, Organising Committee of title: In Memoriam: Antony Popov (1962-2012) date: 2012-12-21 words: 525 flesch: 48 summary: Dr. Popov pioneered the methods and theory of mathematical morphology in Bulgaria. Dr. Popov was also actively involved in organiz- ing the regular Bioinformatics & Computational Biology seminar supported jointly by the AgroBio Institute (ABI) and the Faculty of Mathematics and Informatics. keywords: tony cache: biomath-26.pdf plain text: biomath-26.txt item: #89 of 127 id: biomath-28 author: Nikolova, Elena; Jordanov, Ivan; Vitanov, Nikolay title: Dynamical Analysis of the MicroRNA – Mediated Protein Translation Process date: 2013-01-07 words: 3756 flesch: 50 summary: Biochemical diagram of protein translation process repressed by microRNAs where m1 is the concentration of free 40S ribosomal subunits, m2 is the concentration of 40S subunit bound to the initiation site of mRNA, m3 is the concentra- tion of AUG, the initiation complex bound to the start codon of mRNA, m4 is the concentration of 80S, the ribosomes translating protein, m5 is the concentration of 60S subunit joining factors, m6 is the concentration of eIF4F, the free translation initiation factors and m7 is the protein concentration. In order to verify some of these hypotheses, two simple mathematical models of protein translation are proposed as systems of ordinary differential equations in [4]. keywords: microrna; process; protein; qssa; system; translation cache: biomath-28.pdf plain text: biomath-28.txt item: #90 of 127 id: biomath-29 author: Dufourd, Claire; Dumont, Yves title: Modeling and Simulations of Mosquito Dispersal. The Case of Aedes albopictus date: 2012-12-31 words: 4206 flesch: 63 summary: The adult stage can be divided into several compart- ments: immature females, blood feeding females, breed- ing females, resting females and males. ηA is the egg hatching rate, βY is the rate at which immature females become blood- feeding females, µf r is the rate at which blood-feeding females become resting females, µrb is the rate at which resting females become breeding females, µbf is the rate at which breeding females become blood-feeding females, NEgg is the average number of eggs laid per female, K is the carrying capacity of a breeding site, and Λs is the number of sterile males released periodically each τ days. keywords: aedes; breeding; control; females; mosquito cache: biomath-29.pdf plain text: biomath-29.txt item: #91 of 127 id: biomath-31 author: Tewa, Jean Jules; Demasse, Ramses Djidjou; Bowong, Samuel title: Predator-Prey Model with Prey Harvesting, Holling Response Function of Type III and SIS Disease date: 2012-12-27 words: 4965 flesch: 76 summary: − p′(x4)y4 − λz4 +λx4 − γ − m1p′(z4)y4, a1 = − − p′(x4)y4 − keywords: prey cache: biomath-31.pdf plain text: biomath-31.txt item: #92 of 127 id: biomath-33 author: Fabris-Rotelli, Inger title: Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images date: 2012-12-29 words: 4605 flesch: 57 summary: Pitas and Venet- sanopoulos [6] provide examples of such cases, such as signal dependent noise filtering e.g. photoelectron noise of photosensing devices; multiplicative noise appearing as speckle noise in ultrasonic imaging and laser imaging; and nonlinear image degradations e.g. when transmission occurs through nonlinear channels. The LULU operators were extended in detail to multidimensional arrays in [1], which provides a framework for the obvious areas of image processing in two dimensions, as well as video processing in three dimensions. keywords: decomposition; filters; image; nonlinear; operators; pulse; transform cache: biomath-33.pdf plain text: biomath-33.txt item: #93 of 127 id: biomath-333 author: Nikolov, Svetoslav Ganchev title: Modelling and Analysis of miRNA Regulation date: 2014-09-17 words: 7651 flesch: 67 summary: In the previous section, we proposed the analyti- cal tools and used them for a qualitative analysis of the system, obtaining predictions about dynamics of the system, i.e. the stability and existence of periodic solutions via Andronov-Hopf bifurcation in time delay model (2). Since this system is a classical case study, covering several essential features of miRNA and genetic regulatory mechanisms, general conclusions about design principles and role of time delays in the stability of gene circuits can be suggested. keywords: analysis; bifurcation; delay; gene; http://dx.doi.org/10.11145/j.biomath.2014.07.231; mirna; regulation; system; theorem; time cache: biomath-333.pdf plain text: biomath-333.txt item: #94 of 127 id: biomath-34 author: Petrov, Peter; Krachounov, Milko; Kulev, Ognyan; Nisheva, Maria; Vassilev, Dimitar title: Predicting and Scoring Links in Anatomical Ontology Mapping date: 2012-12-27 words: 4473 flesch: 58 summary: Scatter plot: scheme #3 vs schemes #1 and #2 Biomath 1 (2012), 1211117, http://dx.doi.org/10.11145/j.biomath.2012.11.117 Page 5 of 6 http://dx.doi.org/10.11145/j.biomath.2012.11.117 P Petrov at al., Predicting and Scoring Links in Anatomical Ontology Mapping It can be seen on Fig.1 that the data in scheme #1 appear clustered around the configured values for knowledge source scores (and combinations of these), because there isn’t anything to account for the amount of available evidence gathered from each source (e.g. the number of patterns confirming a prediction). A method for inferring additional cross-ontology links while mapping anatomical ontologies is described and the results of some experiments performed with various external knowledge sources and scoring schemes are discussed as well. keywords: cmp; input; knowledge; links; ontologies; ontology; scheme; score; terms cache: biomath-34.pdf plain text: biomath-34.txt item: #95 of 127 id: biomath-343 author: Rashkov, Peter title: Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing date: 2014-12-05 words: 6650 flesch: 74 summary: Lemma 5 and [1, Satz, p.92] allow us to relate the existence of regular solutions of problem (12) on Ω to the extrema of the potential energies asso- ciated to the auxiliary problem (22). The only possibility to construct regular solutions (U,V ) is by using the potential energy U2 when µ2u < µv < 2µ2u. keywords: diffusion; problem; solutions cache: biomath-343.pdf plain text: biomath-343.txt item: #96 of 127 id: biomath-345 author: Sharma, Kharananda; Roth, Bradley John title: How Compressibility Influences the Mechanical Bidomain Model date: 2014-12-31 words: 6378 flesch: 64 summary: In general, σ << R. The membrane force is largest within a few length constants σ of the edge r = R, and the θ component is larger than the r component (Fig. 7b). A term containing a modified Bessel function is present in both, and implies that both calculations result in a boundary layer at the edge of the tissue r = R of thickness σ. keywords: bidomain; mechanical; model; tissue cache: biomath-345.pdf plain text: biomath-345.txt item: #97 of 127 id: biomath-35 author: Roy, Priti Kumar; Datta, Abhirup title: Impact of Perfect Drug Adherence on Immunopathogenic Mechanism for Dynamical System of Psoriasis date: 2013-01-07 words: 4652 flesch: 59 summary: − µl, dm dt = b − βlm − qnmc − µ′m, dc dt = rqnmc − αmc(1 − u2) − ξc, (1) dk dt = ηlm + γ2lk(1 − ξ − ψ)(ψ3 + A1ψ2 + A2ψ + A3) = 0. keywords: cells; drug; effectiveness; keratinocytes; system cache: biomath-35.pdf plain text: biomath-35.txt item: #98 of 127 id: biomath-355 author: Shivaranjan, Nagaranjan; Miller, John J H; Valarmathi, Sigmani title: A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations date: 2014-12-05 words: 3613 flesch: 78 summary: − a12(x)a21(x) a11(x) ) z = −ε2 dr2 dx , (23) where, z = q̂2 −r2. z +b2(x)z(x− 1) = −ε2 dr2 dx − p21 p11 (x)b1(x)(q̂1(x− 1) −r1(x− 1)), (34) where, z = q̂2 −r2. keywords: q̂2 cache: biomath-355.pdf plain text: biomath-355.txt item: #99 of 127 id: biomath-36 author: Roeva, Olympia; Trenkova, Tanya title: Modelling of a Fed-Batch Culture Applying Simulated Annealing date: 2012-12-22 words: 3278 flesch: 49 summary: In Sec- tion 4 a discussion of the obtained numerical results of E. coli cultivation process model parameter identification is presented. Particular procedure for model parameter identification is performed using SA. keywords: algorithm; annealing; cultivation; model; parameter; point; temperature cache: biomath-36.pdf plain text: biomath-36.txt item: #100 of 127 id: biomath-362 author: Diakite, Ibrahim Oumar; Chen-Charpentier, Benito title: Effects of Discrete Time Delays and Parameters Variation on Dynamical Systems date: 2015-06-08 words: 7695 flesch: 74 summary: = 0 (14) Biomath 1 (2015), 1505201, http://dx.doi.org/10.11145/j.biomath.2015.05.201 Page 5 of 17 http://dx.doi.org/10.11145/j.biomath.2015.05.201 I. Diakite et al., Effects of Discrete Time Delays and Parameters ... Note that if τ1 = τ2 = τ or τ1 = 0 or τ2 = 0 Models that incorporate such delays are referred to as delay differential equations (DDE’s). keywords: equation; stability; state; time; |(x∗,µ∗ cache: biomath-362.pdf plain text: biomath-362.txt item: #101 of 127 id: biomath-365 author: Tchaptchie, Yannick Kouakep; Danga, Duplex Elvis Houpa; Alex, Nguelbe; Albert, Guidzavai K. title: A Note on Proportionate Mixing Assumption Revisited for a Model with Vertical Transmission date: 2015-05-03 words: 3193 flesch: 61 summary: 22: 117-120, 1995) for the ”transmission potential” of an immu- nizing infection with pre-infection possible before birth and vertical transmission admitted. We find that reduce vertical transmission, adds chances to eradicate disease. keywords: age; transmission; vaccination cache: biomath-365.pdf plain text: biomath-365.txt item: #102 of 127 id: biomath-376 author: Ekrut, David Allen; Cogan, Nicholas G. title: A Particular Solutions for a Two-Phase Model with a Sharp Interface date: 2015-05-03 words: 7714 flesch: 65 summary: It is possible that symmetry solutions can capture this behavior as well. Further, our findings suggest that an infinite number of exact solutions of various classes exist for the two-phase system, which may give further insights into the behaviors of the general two-phase model. keywords: equations; exact; http://dx.doi.org/10.11145/j.biomath.2015.03.081; model; phase; solution; system cache: biomath-376.pdf plain text: biomath-376.txt item: #103 of 127 id: biomath-38 author: Svanadze, Merab; Scalia, Antonio title: Mathematical Problems in the Theory of Bone Poroelasticity date: 2012-12-27 words: 2802 flesch: 62 summary: Geotech. 35:6 (2008), 872–889. http://dx.doi.org/10.1016/j.compgeo.2008.08.003 [10] N. Khalili, Coupling effects in double porosity media with deformable matrix, Geophys. The system of equations of this theory based on the equilibrium equations, conservation of fluid mass, the effective stress concept and Darcy’s law for material with double porosity. keywords: equations; fluid; porosity; theory cache: biomath-38.pdf plain text: biomath-38.txt item: #104 of 127 id: biomath-387 author: Diaby, Mouhamadou title: Stability Analysis of a Schistosomiasis Transmission Model with Control Strategies date: 2015-05-20 words: 6698 flesch: 64 summary: Then the fixed E0 = (x∗, 0) is a globally asymptotically stable equilibrium of model system (2) provided that R0 < 1. Applying Theorem III.1 to system (2) gives Ĝ(X,Z) =   Wm βs (S ∗ −Ss) Snail control strategies for reduction of schistosomiasis transmission. keywords: analysis; control; model; rate; schistosomiasis; snails; stability; system; transmission cache: biomath-387.pdf plain text: biomath-387.txt item: #105 of 127 id: biomath-392 author: Abboubakar, Hamadjam; Kamgang, Jean Claude; Nkamba, Nkague Leontine; Tieudjo, Daniel; Emini, Lucas title: Modeling the Dynamics of Arboviral Diseases with Vaccination Perspective date: 2015-08-27 words: 18268 flesch: 70 summary: [30], and consider, in our sensitive analysis, that K depend of the location, thus K = χNh, where χ is a positive integer which represent the location and Nh the human population size. [77] Z. Shuai, P. van den Driessche, Global dynamics of a Biomath 4 (2015), 1507241, http://dx.doi.org/10.11145/j.biomath.2015.07.241 Page 29 of 30 http://www.pasteur.fr/fr/institut-pasteur/presse/ fiches-info/chikungunya#Traitement http://www.lefigaro.fr/sciences http://www.lemonde.fr/sante/article http://dx.doi.org/10.1016/S0140-6736(14)61185-5 http://www.r- 395 project.org/foundation http://www.r- 395 project.org/foundation http://www.scilab.org http://dx.doi.org/10.11145/j.biomath.2015.07.241 H. Abboubakar et al., Modeling the Dynamics of Arboviral Diseases ... disease model including latency with distributed delays. keywords: analysis; bifurcation; dengue; disease; dynamics; equilibrium; following; http://dx.doi.org/10.11145/j.biomath.2015.07.241; humans; model; modeling; number; parameters; stability; vaccine; vector cache: biomath-392.pdf plain text: biomath-392.txt item: #106 of 127 id: biomath-40 author: Liolios, Konstantinos; Radev, Stefan; Liolios, Asterios; Georgiev, Ivan; Georgiev, Krassimir title: A Linear Complementarity Numerical Approach to the Non-Convex Problem of Structures Environmentally Damaged and Strengthened by Cable-Bracings date: 2012-12-29 words: 2562 flesch: 48 summary: This approach takes into ac- count the unilateral behavior of cable elements, uses the equivalence principle of G. Nitsiotas [3] and so leads to a linear complementarity problem, with a reduced number of problem unknowns. Most of these algorithms reduce the above linear complementarity problem to a quadratic programming one of the form: Min { 1 2 vT Cv + vT t0 : v ≥ 0 } (7) After the previous preparation we can now formulate the following numerical procedure for the analysis of structures containing cable like members: a) Considering the cables as having been solidified (normal bilateral bars), the vector t0 due to external actions is determined by the Finite Element Method. b) Under the same assumption and by the same method as in a), the influence matrix C is determined. keywords: approach; cable; linear; numerical; problem; structures cache: biomath-40.pdf plain text: biomath-40.txt item: #107 of 127 id: biomath-413 author: Pete, A.N.; Mathye, Peter; Fedotov, Igor; Shatalov, Michael title: Determination of parameters for Cauchy's problem for systems of ODEs with application to biological modelling date: 2016-05-11 words: 3379 flesch: 61 summary: Using parameter values from Gumel [4], we generate points of solutions of the system (8) by the adaptive Runge-Kutta method. The method for estimating parameters values could be improved by incorporating a suitable penalty term that minimizes the error caused by numerical quadrature and high observational noise levels in the real data. keywords: method; model; parameters; population; problem; system cache: biomath-413.pdf plain text: biomath-413.txt item: #108 of 127 id: biomath-46 author: Markov, Svetoslav title: From the Guest-Editor date: 2012-12-22 words: 338 flesch: 56 summary: We are grateful for the support provided by several academic units and universities and to all members of the Program and Organizing Committees for their active help in the organization of the BIOMATH 2012 International Conference. More than 40 contributions were submitted for publication in the present BIOMATH proceedings. keywords: biomath cache: biomath-46.pdf plain text: biomath-46.txt item: #109 of 127 id: biomath-476 author: Britton, Nicholas; Almeida Neto, Mario; Corso, Gilberto title: Which Matrices Show Perfect Nestedness or the Absence of Nestedness? An Analytical Study on the Performance of NODF and WNODF date: 2016-01-18 words: 5273 flesch: 64 summary: (10) Biomath 4 (2015), 1512171, http://dx.doi.org/10.11145/j.biomath.2015.12.171 Page 3 of 9 http://dx.doi.org/10.11145/j.biomath.2015.12.171 N. F. Britton et al., Which Matrices Show Perfect Nestedness or the Absence of Nestedness ... 1) Conditions for NODF = 0: Our objective is to characterize all matrices for which NODF = 0. This is a necessary and sufficient condition for NODF = 0. keywords: elements; mt r; nestedness; nodf cache: biomath-476.pdf plain text: biomath-476.txt item: #110 of 127 id: biomath-48 author: Popov, Antony; Stoykov, Simeon title: Rough Sets in Biomedical Informatics date: 2013-01-13 words: 3234 flesch: 55 summary: As a part of modern soft computing paradigm, rough sets have been in- troduced as an interval-like extension of the usual sets with main applications in the intelligent systems. This uncertainty can be effectively handled by describing the different objects as rough sets with upper (or outer) and lower (or inner) approximations as follows: Let the universe U be an image consisting of a collec- tion of pixels. keywords: data; dicom; elements; image; information; rough; set; sets cache: biomath-48.pdf plain text: biomath-48.txt item: #111 of 127 id: biomath-5 author: Hingley, Peter title: Exploring Family Relations between International Patent Applications date: 2012-10-10 words: 4403 flesch: 55 summary: 3 shows that the setup of p priority filings in the F0 generation with L links to y SFs in the F1 generation can be represented by a surjective directed graph. Abstract—In the international system for granting patents for inventions, first patent filings can be followed by subsequent filings at other patent offices within one year. keywords: distribution; family; fig; filings; hits; patent cache: biomath-5.pdf plain text: biomath-5.txt item: #112 of 127 id: biomath-506 author: Dougherty, Edward title: Efficient Implicit Runge-Kutta Methods for Fast-Responding Ligand-Gated Neuroreceptor Kinetic Models date: 2016-02-02 words: 8809 flesch: 56 summary: Therefore, despite having a lower number of simulation time steps, the computational ad- vantages of the ESDIRK and Radau methods are diminished due to this elevated number of Jacobian computations. The third order Radau IRK method demon- strates exceptional local and global accuracy com- pared to all other explicit and implicit methods examined. keywords: ampar; error; fig; gabaar; http://dx.doi.org/10.11145/j.biomath.2015.12.311; irk; kutta; method; model; radau; runge; sdirk; simulation; solution; step; time; vol cache: biomath-506.pdf plain text: biomath-506.txt item: #113 of 127 id: biomath-552 author: Martcheva, Maia; Tuncer, Necibe; St Mary, Colette title: Coupling Within-Host and Between-Host Infectious Diseases Models date: 2015-10-30 words: 6663 flesch: 46 summary: There are four basic types of epidemiological models being employed: net- work or individual based epidemiological models, reviewed in subsection 3.A, ODE epidemiolog- ical models, reviewed in subsection 3.B, size- structured epidemiological models, reviewed in section 3.C, and age-since-infection structured epi- demiological models, reviewed in subsection 3.D. Finally, in section 4, we provide further discussion of the immuno-epidemiological modeling and its implications to biology. II. The variability of immuno- epidemiological modeling techniques stems from Biomath 4 (2015), 1510091, http://dx.doi.org/10.11145/j.biomath.2015.10.091 Page 2 of 12 http://dx.doi.org/10.11145/j.biomath.2015.10.091 M. Martcheva et al., Coupling Within-Host and Between-Host Infectious Diseases Models the various types of epidemiological models from which they have arisen. keywords: disease; dynamics; epidemiological; evolution; host; immuno; level; models; number; pathogen; population; response cache: biomath-552.pdf plain text: biomath-552.txt item: #114 of 127 id: biomath-557 author: Mathye, Peter; Fedotov, Igor; Shatalov, Michael title: Identification of HIV Dynamic System in the Case of Incomplete Experimental Data date: 2016-02-02 words: 3386 flesch: 65 summary: From N = X + Yv + For the models to give insight into the transmission dynamics of HIV, model parameters are of great significance. keywords: data; method; parameters; system; wild cache: biomath-557.pdf plain text: biomath-557.txt item: #115 of 127 id: biomath-566 author: Iliev, Anton Iliev; Kyurkchiev, Nikolay; Markov, Svetoslav title: On the Approximation of the Cut and Step Functions by Logistic and Gompertz Functions date: 2015-10-30 words: 6281 flesch: 62 summary: Keywords-cut function; step function; sigmoid function; logistic function; Gompertz function; squashing function; Hausdorff approximation. In Section 3 we study the uniform and Hausdorff approximation of the cut functions by logistic functions. keywords: approximation; cut; cut function; distance; function; gompertz; logistic; sigmoid; step cache: biomath-566.pdf plain text: biomath-566.txt item: #116 of 127 id: biomath-567 author: Campos, José Renato; Assuncao, Edvaldo; Silva, Geraldo Nunes; Lodwick, Weldon title: Biological control of caterpillar sugarcane (Diatraea saccharalis) considering interval mathematical models date: 2016-05-11 words: 6044 flesch: 48 summary: Optimal control problems involving uncertain systems are described in [6], [13], [14], [39]. ∈ [0, 1] and satisfy the stability criterion (see [26], [3]) for optimal control problems with quadratic functional and linear constraints. keywords: caterpillar; control; control problem; equation; http://dx.doi.org/10.11145/j.biomath.2016.04.232; interval; interval problem; model; number; predators; problem; solution; sugarcane cache: biomath-567.pdf plain text: biomath-567.txt item: #117 of 127 id: biomath-573 author: Raj, Ishwariya; Johnson, Princy Mercy; Miller, John J.H; Sigamani, Valarmathi title: A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations date: 2016-09-11 words: 3805 flesch: 65 summary: In [3], a numerical method, for a system of singularly perturbed semilinear reaction-diffusion equations, involving an appropriate layer-adapted piecewise Citation: R.Ishwariya, J.Princy Merlin, J.J.H.Miller, S.Valarmathi, A parameter uniform almost first order convergent numerical method for a non-linear system of singularly perturbed differential equations, Biomath 5 (2016), 1608111, http://dx.doi.org/10.11145/j.biomath.2016.08.111 Page 1 of 8 http://www.biomathforum.org/biomath/index.php/biomath http://dx.doi.org/10.11145/j.biomath.2016.08.111 R.Ishwariya et al., A parameter uniform almost first order convergent numerical method ... uniform mesh, is constructed and it is proved to be parameter uniform convergent. Thus, ‖ q̂2 −r2 ‖≤ Cε2 and ‖ d(q̂2 −r2) dx ‖≤ C. Using this in (14), ‖ q̂1 −r1 ‖≤ Cε2. keywords: mesh; method; numerical; order; parameter; problem; uniform cache: biomath-573.pdf plain text: biomath-573.txt item: #118 of 127 id: biomath-578 author: Bazhlekova, Emilia; Bazhlekov, Ivan title: Peristaltic transport of viscoelastic bio-fluids with fractional derivative models date: 2016-06-02 words: 6546 flesch: 63 summary: Based on models for peristaltic viscoelastic flows given in a series of papers by Tripathi et al. Sci., Sofia, Bulgaria e.bazhlekova@math.bas.bg, i.bazhlekov@math.bas.bg Received: 28 October 2015, accepted: 16 May 2016, published: 26 May 2016 Abstract—Peristaltic flow of viscoelastic fluid through a uniform channel is considered under the assumptions of long wavelength and low Reynolds number. keywords: fractional; function; peristaltic; pressure; time; y(t cache: biomath-578.pdf plain text: biomath-578.txt item: #119 of 127 id: biomath-6 author: Al-Asuoad, Nofe; Anguelov, Roumen; Berven, Keith; Shillor, Meir title: Model and Simulations of a Wood Frog Population date: 2012-10-11 words: 3284 flesch: 64 summary: Unfortunately, the weather conditions in Michigan this year were such that the larvae in the pond were wiped out completely, and this result allows us to hope that next year the population will begin to recover. We denote by L and M the total numbers of larvae, and mature frogs, respectively, and by Je, Jm and Jl the three subpopulations, early, middle, and late, of the juveniles, all functions of time t (measured in days). keywords: larvae; model; population cache: biomath-6.pdf plain text: biomath-6.txt item: #120 of 127 id: biomath-602 author: Yves Sébastien, Emvudu Wono; Danhree, Bongor; Rodoumta, Koïna title: Optimal control of the treatment frequency in a stochastic model of tuberculosis date: 2017-06-06 words: 9302 flesch: 73 summary: = 3.6673 and u∗ = uop = 0; With ω = u − q(· | F ′(h)), the last implication gives (u−ω |v−u) keywords: control; frequency; http://dx.doi.org/10.11145/j.biomath.2017.05.077; model; optimal; stochastic; treatment cache: biomath-602.pdf plain text: biomath-602.txt item: #121 of 127 id: biomath-711 author: Iliev, Anton Iliev; Kyurkchiev, Nikolay; Markov, Svetoslav title: On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function date: 2016-09-17 words: 2116 flesch: 58 summary: Keywords-Transmuted Stannard growth function; Heaviside step function; Hausdorff distance; Upper and lower bounds. I. INTRODUCTION AND PRELIMINARIES Approximation of the shifted Heaviside step function by transmuted Stannard growth function for the following data: k = 16, m = 0.52, β = 0.01, tr = 5; Hausdorff distance d = 0.0801797. keywords: distance; function; growth; hausdorff cache: biomath-711.pdf plain text: biomath-711.txt item: #122 of 127 id: biomath-726 author: Markov, Svetoslav Marinov title: Building reaction kinetic models for amiloid fibril growth date: 2016-08-08 words: 6264 flesch: 66 summary: In this work we are going to illustrate the above mentioned approaches for the formulation and study of growth functions on several familiar Citation: Svetoslav Markov, Building reaction kinetic models for amiloid fibril growth, Biomath 5 (2016), 1607311, http://dx.doi.org/10.11145/j.biomath.2016.07.311 Page 1 of 11 http://www.biomathforum.org/biomath/index.php/biomath http://dx.doi.org/10.11145/j.biomath.2016.07.311 S. Markov, Building reaction kinetic models for amiloid fibril growth examples such as the Verhulst logistic function and Henri enzyme kinetic reaction network. (5) Biomath 5 (2016), 1607311, http://dx.doi.org/10.11145/j.biomath.2016.07.311 Page 2 of 11 http://dx.doi.org/10.11145/j.biomath.2016.07.311 S. Markov, Building reaction kinetic models for amiloid fibril growth keywords: fibril; function; growth; markov; models; network; point; reaction; time; type cache: biomath-726.pdf plain text: biomath-726.txt item: #123 of 127 id: biomath-781 author: Gürbüz, Burcu; Sezer, Mehmet title: Numerical solutions of one-dimensional parabolic convection-diffusion problems arising in biology by the Laguerre collocation method date: 2017-06-08 words: 1928 flesch: 60 summary: doi:http://dx.doi.org/10.1016/j.amc.2014.05.058 [10] B. Gürbüz, M. Sezer, Laguerre polynomial solutions of a class of initial and boundary value problems arising in science and engineering fields, Acta Phys. Keywords-Convection-diffusion equation models, Parabolic problem, Laguerre collocation method. keywords: diffusion; laguerre cache: biomath-781.pdf plain text: biomath-781.txt item: #124 of 127 id: biomath-795 author: Anguelov, Roumen; Bastos, Armanda title: Can Mathematics be Biology's next microscope in disease research at the interface? date: 2017-01-06 words: 2961 flesch: 34 summary: www.biomathforum.org/biomath/index.php/biomath REVIEW ARTICLE Can Mathematics be Biology’s next microscope in disease research at the interface? Whilst strict veterinary and health policies are applied in the Citation: Roumen Anguelov, Armanda Bastos, Can Mathematics be Biology’s next microscope in disease research at the interface?, Biomath 5 (2016), 1612237, http://dx.doi.org/10.11145/j.biomath.2016.12.237 Page 1 of 6 http://www.biomathforum.org/biomath/index.php/biomath http://dx.doi.org/10.11145/j.biomath.2016.12.237 R Anguelov, A Bastos, Can Mathematics be Biology’s next microscope in disease research at the interface? former, a policy of least human intervention is applied to the later. keywords: analysis; biology; disease; http://dx.doi.org/10.11145/j.biomath.2016.12.237; interface; mathematics; model; research cache: biomath-795.pdf plain text: biomath-795.txt item: #125 of 127 id: biomath-9 author: Filmann, Natalie; Herrmann, Eva title: Modeling of Viral Dynamics after Liver Transplantation in Patients with Chronic Hepatitis B and D date: 2012-09-30 words: 4037 flesch: 54 summary: http://dx.doi.org/10.1016/j.jhep.2004.12.017 [15] A. U. Neumann, S. Phillips, I. Levine, S. Ijaz, H. Dahari, R. Eren, S. Dagan, and N. V. Naoumov, Novel mechanism of antibodies to hepatitis B virus in blocking viral particle release from cells., Hepatology 2010; 52(3), 875–85. [18] S. A. Gourley, Y. Kuang, and J. D. Nagy, Dynamics of a delay differential equation model of hepatitis B virus infection., J Biol Dyn. 2008; 2(2), 140-53. keywords: anti; cells; hbsag; hbv; hdv; hepatitis; infected; liver; model; transplantation; virus cache: biomath-9.pdf plain text: biomath-9.txt item: #126 of 127 id: biomath-916 author: Ali, Moussaoui; Alaoui, M. A. Aziz; Yafia, R. title: Permanence and periodic solution for a modified Leslie-Gower type predator-prey model with diffusion and non constant coefficients date: 2017-07-20 words: 4207 flesch: 67 summary: [27] R. Yafia, M. A. Aziz-Alaoui, Existence of periodic travelling waves solutions in predator prey model with diffusion, Applied Mathematical Modelling, 37, 3635– 3644, 2013. Periodic prey solution with respect to the time and space variables. keywords: gower; leslie; model; predator; prey; solution; system; type cache: biomath-916.pdf plain text: biomath-916.txt item: #127 of 127 id: biomath-986 author: Dertli, Abdullah; Cengellenmis, Yasemin title: On cyclic DNA codes over the rings Z4 + wZ4 and Z4 + wZ4 + vZ4 + wvZ4 date: 2017-12-22 words: 6462 flesch: 87 summary: ∈ C and there are two constants e,d ∈ Z∗4 such that g∗(x) = eg(x) and a∗(x) = da(x). Since (0, 0, ..., 0) ∈ C, then its reversible complement is also in C. (0, 0, ..., 0)rc = (3 + 3w, 3 + 3w,..., 3 + 3w) = 3(1 + w)(1, 1, ..., 1) ∈ C. keywords: codes; complement; cyclic; dna; f(x; length; ring cache: biomath-986.pdf plain text: biomath-986.txt