# bib

id: biomath-185
author: Anguelov, Roumen
date: 2014-01-07
pages: 2
extension: .pdf
mime: application/pdf
words: 1449
sentence: 73
flesch: 47
cache: cache/biomath-185.pdf
txt: txt/biomath-185.txt
title:
  The Algebraic Structure of Spaces of Intervals: Contribution of Svetoslav Markov to Interval Analysis and its Applications

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.


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
pages: 5
extension: .pdf
mime: application/pdf
words: 3043
sentence: 159
flesch: 63
cache: cache/biomath-14.pdf
txt: txt/biomath-14.txt
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).


id: biomath-16
author: Dénes, Attila; Röst, Gergely
title: Structure of the Global Attractors in a Model for Ectoparasite Borne Diseases
date: 2012-09-28
pages: 5
extension: .pdf
mime: application/pdf
words: 3316
sentence: 166
flesch: 64
cache: cache/biomath-16.pdf
txt: txt/biomath-16.txt
summary:
  = βT (1 − T (t) − Q(t))T (t) − βQQ(t)T (t) − θT (t) − bT (t), Q′(t) = βQ(1 − T (t) − Q(t))Q(t) − R2) with the eigenvector (0, 1) and λ2 = −θ+µ−βQ +(b+µ)βT /βQ


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
pages: 8
extension: .pdf
mime: application/pdf
words: 3030
sentence: 156
flesch: 58
cache: cache/biomath-1374.pdf
txt: txt/biomath-1374.txt
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.


id: biomath-1125
author: Roth, Bradley John
title: Mechanotransduction caused by a point force in the extracellular space
date: 2018-10-27
pages: 7
extension: .pdf
mime: application/pdf
words: 3140
sentence: 164
flesch: 51
cache: cache/biomath-1125.pdf
txt: txt/biomath-1125.txt
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].


id: biomath-196
author: Timofte, Claudia
title: Multiscale Analysis of Ionic Transport in Periodic Charged Media
date: 2014-01-25
pages: 5
extension: .pdf
mime: application/pdf
words: 3243
sentence: 175
flesch: 67
cache: cache/biomath-196.pdf
txt: txt/biomath-196.txt
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.


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
pages: 7
extension: .pdf
mime: application/pdf
words: 3619
sentence: 201
flesch: 65
cache: cache/biomath-1035.pdf
txt: txt/biomath-1035.txt
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].


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
pages: 8
extension: .pdf
mime: application/pdf
words: 3652
sentence: 218
flesch: 63
cache: cache/biomath-1267.pdf
txt: txt/biomath-1267.txt
summary:
  [9] A. A. BLUMBERG, Logistic growth rate functions, J. Theoret. [12] A. TSOULARIS, Analysis of logistic growth models, Les.


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
pages: 9
extension: .pdf
mime: application/pdf
words: 4267
sentence: 188
flesch: 51
cache: cache/biomath-1344.pdf
txt: txt/biomath-1344.txt
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.


id: biomath-13
author: Vitanov, Nikolay Kolev; Dimitrova, Zlatinka Ivanova
title: On Waves and Distributions in Population Dynamics
date: 2012-09-28
pages: 7
extension: .pdf
mime: application/pdf
words: 4327
sentence: 287
flesch: 69
cache: cache/biomath-13.pdf
txt: txt/biomath-13.txt
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.


id: biomath-162
author: Bakker, Laurens; Poelstra, Andrew
title: Calculating Hyphal Surface Area in Models of Fungal Networks
date: 2013-09-18
pages: 9
extension: .pdf
mime: application/pdf
words: 4627
sentence: 229
flesch: 61
cache: cache/biomath-162.pdf
txt: txt/biomath-162.txt
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.


id: biomath-15
author: Knipl, Diana H; Röst, Gergely
title: Multiregional SIR Model with Infection during Transportation
date: 2012-09-28
pages: 7
extension: .pdf
mime: application/pdf
words: 4408
sentence: 270
flesch: 80
cache: cache/biomath-15.pdf
txt: txt/biomath-15.txt
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


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
pages: 9
extension: .pdf
mime: application/pdf
words: 4374
sentence: 290
flesch: 62
cache: cache/biomath-1283.pdf
txt: txt/biomath-1283.txt
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].


id: biomath-1333
author: Kyurkchiev, Nikolay V.
title: A new class of activation functions. Some related problems and applications
date: 2020-05-17
pages: 10
extension: .pdf
mime: application/pdf
words: 4235
sentence: 278
flesch: 66
cache: cache/biomath-1333.pdf
txt: txt/biomath-1333.txt
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;


id: biomath-1220
author: Lachowicz, Miroslaw
title: A class of individual-based models
date: 2018-04-15
pages: 8
extension: .pdf
mime: application/pdf
words: 4593
sentence: 348
flesch: 67
cache: cache/biomath-1220.pdf
txt: txt/biomath-1220.txt
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.


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
pages: 8
extension: .pdf
mime: application/pdf
words: 5188
sentence: 203
flesch: 41
cache: cache/biomath-1507.pdf
txt: txt/biomath-1507.txt
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.


id: biomath-1342
author: Bukkuri, Anuraag
date: 2020-09-12
pages: 12
extension: .pdf
mime: application/pdf
words: 5397
sentence: 315
flesch: 61
cache: cache/biomath-1342.pdf
txt: txt/biomath-1342.txt
title:
  The impact of infected T lymphocyte burst rate and viral shedding rate on optimal treatment scheduling in a human immunodeficiency virus infection

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.


id: biomath-1318
author: Bukkuri, Anuraag
date: 2020-03-02
pages: 12
extension: .pdf
mime: application/pdf
words: 5660
sentence: 288
flesch: 56
cache: cache/biomath-1318.pdf
txt: txt/biomath-1318.txt
title:
  Optimal control analysis of combined chemotherapy-immunotherapy treatment regimens in a PKPD cancer evolution model

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.


id: biomath-191
author: Nikolova, Elena; Jordanov, Ivan; Vitanov, Nikolay K.
title: On Nonlinear Dynamics of the STAT5a Signaling Protein
date: 2014-06-03
pages: 11
extension: .pdf
mime: application/pdf
words: 6091
sentence: 344
flesch: 60
cache: cache/biomath-191.pdf
txt: txt/biomath-191.txt
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.


id: biomath-1286
author: Anguelov, Roumen; Bekker, Rebecca; Dumont, Yves
title: Bi-stable dynamics of a host-pathogen model
date: 2019-01-23
pages: 17
extension: .pdf
mime: application/pdf
words: 7301
sentence: 372
flesch: 64
cache: cache/biomath-1286.pdf
txt: txt/biomath-1286.txt
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.


id: biomath-18
author: Markov, Svetoslav
title: Blagovest Sendov – Pioneer of Mathematical Modeling in Bulgaria
date: 2012-10-11
pages: 5
extension: .pdf
mime: application/pdf
words: 3351
sentence: 205
flesch: 50
cache: cache/biomath-18.pdf
txt: txt/biomath-18.txt
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.


id: biomath-1298
author: Markov, Svetoslav Marinov
title: Reaction networks reveal new links between Gompertz and Verhulst growth functions
date: 2019-04-21
pages: 14
extension: .pdf
mime: application/pdf
words: 8204
sentence: 417
flesch: 57
cache: cache/biomath-1298.pdf
txt: txt/biomath-1298.txt
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.


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
pages: 14
extension: .pdf
mime: application/pdf
words: 9115
sentence: 433
flesch: 59
cache: cache/biomath-1423.pdf
txt: txt/biomath-1423.txt
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.


id: biomath-1090
author: Al-Asuoad, Nofe; Shillor, Meir
title: Modeling, analysis and simulations of MERS outbreak in Saudi Arabia
date: 2018-03-09
pages: 18
extension: .pdf
mime: application/pdf
words: 9722
sentence: 411
flesch: 59
cache: cache/biomath-1090.pdf
txt: txt/biomath-1090.txt
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).


id: biomath-1288
author: Pichor, Katarzyna; Rudnicki, Ryszard
title: One and two-phase cell cycle models
date: 2019-06-01
pages: 15
extension: .pdf
mime: application/pdf
words: 9272
sentence: 600
flesch: 69
cache: cache/biomath-1288.pdf
txt: txt/biomath-1288.txt
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.


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
pages: 17
extension: .pdf
mime: application/pdf
words: 9892
sentence: 564
flesch: 71
cache: cache/biomath-1030.pdf
txt: txt/biomath-1030.txt
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:


id: biomath-1323
author: Mbatumutima, Vianney; Thron, Christopher; Todjihounde, Leonard
date: 2019-12-18
pages: 22
extension: .pdf
mime: application/pdf
words: 9848
sentence: 627
flesch: 61
cache: cache/biomath-1323.pdf
txt: txt/biomath-1323.txt
title:
  Enumerative numerical solution for optimal control using treatment and vaccination for an SIS epidemic model

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.


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
pages: 15
extension: .pdf
mime: application/pdf
words: 10914
sentence: 411
flesch: 52
cache: cache/biomath-1450.pdf
txt: txt/biomath-1450.txt
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.


id: biomath-1305
author: Dimitrova, Neli; Krastanov, Mikhail
title: Model-based control strategies for anaerobic digestion processes
date: 2019-08-17
pages: 17
extension: .pdf
mime: application/pdf
words: 10288
sentence: 591
flesch: 66
cache: cache/biomath-1305.pdf
txt: txt/biomath-1305.txt
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.


id: biomath-1433
author: Markov, Svetoslav Marinov
title: The Gompertz model revisited and modified using reaction networks: Mathematical analysis
date: 2021-10-04
pages: 21
extension: .pdf
mime: application/pdf
words: 12268
sentence: 665
flesch: 63
cache: cache/biomath-1433.pdf
txt: txt/biomath-1433.txt
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.


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
pages: 23
extension: .pdf
mime: application/pdf
words: 12265
sentence: 596
flesch: 65
cache: cache/biomath-1381.pdf
txt: txt/biomath-1381.txt
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.


id: biomath-1410
author: Akimenko, Vitalii; Adi-Kusumo, Fajar
date: 2021-12-06
pages: 23
extension: .pdf
mime: application/pdf
words: 11460
sentence: 565
flesch: 68
cache: cache/biomath-1410.pdf
txt: txt/biomath-1410.txt
title:
  Age-structured delayed SIPCV epidemic model of HPV and cervical cancer cells dynamics I. Numerical method

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


id: biomath-1271
author: Yatat, Valaire Djeumen; Tchuinté, Alexis; Dumont, Yves; Couteron, Pierre
date: 2018-12-20
pages: 29
extension: .pdf
mime: application/pdf
words: 16203
sentence: 1310
flesch: 62
cache: cache/biomath-1271.pdf
txt: txt/biomath-1271.txt
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

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.


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
pages: 7
extension: .pdf
mime: application/pdf
words: 4078
sentence: 180
flesch: 69
cache: cache/biomath-181.pdf
txt: txt/biomath-181.txt
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


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
pages: 7
extension: .pdf
mime: application/pdf
words: 4087
sentence: 318
flesch: 70
cache: cache/biomath-19.pdf
txt: txt/biomath-19.txt
summary:
  = p(R0q(1 − p) − 1) 6= 0. In disease transmission models, time delay plays an important role in many epidemiological mechanisms.


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
pages: 9
extension: .pdf
mime: application/pdf
words: 5687
sentence: 343
flesch: 57
cache: cache/biomath-1501.pdf
txt: txt/biomath-1501.txt
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


id: biomath-1378
author: Pal, Debkumar; Ghosh, D; Santra, P K; Mahapatra, G S
date: 2021-07-17
pages: 20
extension: .pdf
mime: application/pdf
words: 9738
sentence: 464
flesch: 61
cache: cache/biomath-1378.pdf
txt: txt/biomath-1378.txt
title:
  Mathematical modeling and analysis of Covid-19 infection spreads in India with restricted optimal treatment on disease incidence

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].


id: biomath-11
author: Umeo, Hiroshi; Nomura, A.
date: 2012-09-25
pages: 6
extension: .pdf
mime: application/pdf
words: 22040
sentence: 480
flesch: 67
cache: cache/biomath-11.pdf
txt: txt/biomath-11.txt
title:
  A State-Efficient Zebra-Like Implementation of Synchronization Algorithms for 2D Rectangular Cellular Arrays

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


id: biomath-1343
author: Kojouharov, Hristo V
title: COVID-19 Research Communications (Editorial)
date: 2020-05-04
pages: 1
extension: .pdf
mime: application/pdf
words: 342
sentence: 13
flesch: 18
cache: cache/biomath-1343.pdf
txt: txt/biomath-1343.txt
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


id: biomath-10
author: Bon, Dimitra; Stephan, Christoph; Keppler, Oliver; Herrmann, Eva
date: 2012-09-15
pages: 5
extension: .pdf
mime: application/pdf
words: 2317
sentence: 157
flesch: 57
cache: cache/biomath-10.pdf
txt: txt/biomath-10.txt
title:
  Viral Dynamic Model of Antiretroviral Therapy Including the Integrase Inhibitor Raltegravir in Patients with HIV-1

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].


id: biomath-1321
author: Mohamad, Abdul Adheem; Yashiro, Tsukasa
title: A rewinding model for replicons with DNA-links
date: 2020-02-23
pages: 9
extension: .pdf
mime: application/pdf
words: 3926
sentence: 243
flesch: 69
cache: cache/biomath-1321.pdf
txt: txt/biomath-1321.txt
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.


id: biomath-1
author: Prieto-Langarica, Alicia; Kojouharov, Hristo V; Tang, Liping
date: 2012-10-08
pages: 6
extension: .pdf
mime: application/pdf
words: 3736
sentence: 190
flesch: 52
cache: cache/biomath-1.pdf
txt: txt/biomath-1.txt
title:
  Constructing One-Dimensional Continuous Models from Two-Dimensional Discrete Models of Medical Implants

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.


id: biomath-168
author: Kyurkchiev, Nikolay; Iliev, Anton
date: 2013-07-29
pages: 7
extension: .pdf
mime: application/pdf
words: 4059
sentence: 244
flesch: 72
cache: cache/biomath-168.pdf
txt: txt/biomath-168.txt
title:
  On Some Multipoint Methods Arrising from Optimal in the Sense of Kung-Traub Algorithms for Numerical Solution of Nonlinear Equations

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.


id: biomath-1448
author: Koprinkova, Petia; Nedelcheva, Simona
title: Spike timing neural network model of conscious visual perception
date: 2022-04-19
pages: 10
extension: .pdf
mime: application/pdf
words: 3493
sentence: 185
flesch: 51
cache: cache/biomath-1448.pdf
txt: txt/biomath-1448.txt
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).


id: biomath-194
author: Chamoun, Georges; Saad, Mazen; Talhouk, Raafat
date: 2013-12-24
pages: 6
extension: .pdf
mime: application/pdf
words: 3708
sentence: 206
flesch: 66
cache: cache/biomath-194.pdf
txt: txt/biomath-194.txt
title:
  Mathematical and Numerical Analysis of a Modified Keller-Segel Model with General Diffusive Tensors.

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 ∈


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
pages: 7
extension: .pdf
mime: application/pdf
words: 3644
sentence: 193
flesch: 58
cache: cache/biomath-205.pdf
txt: txt/biomath-205.txt
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.


id: biomath-1408
author: Herrera, Candy; Duque, Cosme Ramon; Leiva, Hugo
date: 2021-10-01
pages: 10
extension: .pdf
mime: application/pdf
words: 5058
sentence: 231
flesch: 59
cache: cache/biomath-1408.pdf
txt: txt/biomath-1408.txt
title:
  Qualitative analysis of a mathematical model about population of green turtles on the Galapagos island

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.


id: biomath-12
author: Toole, Gregory; Hurdal, Monica K.
title: Growth in a Turing Model of Cortical Folding
date: 2012-09-28
pages: 7
extension: .pdf
mime: application/pdf
words: 4448
sentence: 265
flesch: 58
cache: cache/biomath-12.pdf
txt: txt/biomath-12.txt
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.


id: biomath-1428
author: Safonov, Vladimir; Ermakov, Vadim; Danilova, Valentina; Yakimenko, Vyacheslav
date: 2021-12-28
pages: 9
extension: .pdf
mime: application/pdf
words: 4785
sentence: 288
flesch: 53
cache: cache/biomath-1428.pdf
txt: txt/biomath-1428.txt
title:
  Relationship between blood superoxide dismutase activity and zinc, copper, glutathione and metallothioneines concentrations in calves

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 ...


id: biomath-1284
title: Bayesian inference of a dynamical model evaluating Deltamethrin effect on Daphnia survival
date: 2018-12-23
pages: 10
extension: .pdf
mime: application/pdf
words: 5151
sentence: 298
flesch: 52
cache: cache/biomath-1284.pdf
txt: txt/biomath-1284.txt
author:
  Diouf, Abdoulaye; Camara, Baba Issa; Ngom, Diene; Toumi, Hela; Felten, Vincent; Masfaraud, Jean-Francois; Ferard, Jean-Francois

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.


id: biomath-1366
author: Miller, John J. H.; O'Riordan, Eugene
date: 2020-09-12
pages: 12
extension: .pdf
mime: application/pdf
words: 5639
sentence: 377
flesch: 79
cache: cache/biomath-1366.pdf
txt: txt/biomath-1366.txt
title:
  Robust numerical method for a singularly perturbed problem arising in the modelling of enzyme kinetics

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 ...


id: biomath-207
author: van der Walt, Jan Harm
title: The Linear Space of Hausdorff Continuous Interval Functions
date: 2013-12-24
pages: 6
extension: .pdf
mime: application/pdf
words: 4748
sentence: 364
flesch: 75
cache: cache/biomath-207.pdf
txt: txt/biomath-207.txt
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


id: biomath-1282
author: Purnichescu Purtan, Raluca; Badralexi, Irina
title: A stochastic model for intracellular active transport
date: 2018-12-18
pages: 9
extension: .pdf
mime: application/pdf
words: 4957
sentence: 216
flesch: 54
cache: cache/biomath-1282.pdf
txt: txt/biomath-1282.txt
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.


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
pages: 12
extension: .pdf
mime: application/pdf
words: 6368
sentence: 476
flesch: 69
cache: cache/biomath-1258.pdf
txt: txt/biomath-1258.txt
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 /


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
pages: 8
extension: .pdf
mime: application/pdf
words: 4869
sentence: 373
flesch: 79
cache: cache/biomath-213.pdf
txt: txt/biomath-213.txt
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 =


id: biomath-22
author: Anguelov, Roumen
title: From the Editor-in-Chief
date: 2012-10-11
pages: 1
extension: .pdf
mime: application/pdf
words: 489
sentence: 34
flesch: 37
cache: cache/biomath-22.pdf
txt: txt/biomath-22.txt
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).


id: biomath-25
author: Sendov, Blagovest
title: Farewell Speech: Stefan Dodunekov (1945-2012)
date: 2012-12-27
pages: 2
extension: .pdf
mime: application/pdf
words: 767
sentence: 47
flesch: 68
cache: cache/biomath-25.pdf
txt: txt/biomath-25.txt
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.


id: biomath-1270
author: Yokley, Karen A; Ashcraft, Jaclyn; Luke, Nicholas S
date: 2019-02-04
pages: 13
extension: .pdf
mime: application/pdf
words: 7612
sentence: 329
flesch: 51
cache: cache/biomath-1270.pdf
txt: txt/biomath-1270.txt
title:
  A computational investigation of the ventilation structure and maximum rate of metabolism for a physiologically based pharmacokinetic (PBPK) model of inhaled xylene

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.


id: biomath-1454
author: Mohamad, Abdul Adheem; Yashiro, Tsukasa
title: Topological Process of Splitting DNA-Links
date: 2022-05-16
pages: 12
extension: .pdf
mime: application/pdf
words: 6644
sentence: 421
flesch: 70
cache: cache/biomath-1454.pdf
txt: txt/biomath-1454.txt
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.


id: biomath-1031
author: Hojcka, Michal; Bokes, Pavol
date: 2017-11-02
pages: 17
extension: .pdf
mime: application/pdf
words: 7652
sentence: 385
flesch: 62
cache: cache/biomath-1031.pdf
txt: txt/biomath-1031.txt
title:
  Non-monotonicity of Fano factor in a stochastic model for protein expression with sequesterisation at decoy binding sites

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.


id: biomath-161
author: Bolboaca, Sorana D.; Jäntschi, Lorentz
date: 2013-09-18
pages: 11
extension: .pdf
mime: application/pdf
words: 7708
sentence: 445
flesch: 56
cache: cache/biomath-161.pdf
txt: txt/biomath-161.txt
title:
  Quantitative Structure-Activity Relationships: Linear Regression Modelling and Validation Strategies by Example

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.


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
pages: 14
extension: .pdf
mime: application/pdf
words: 6863
sentence: 387
flesch: 67
cache: cache/biomath-1390.pdf
txt: txt/biomath-1390.txt
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


id: biomath-1316
title: Modeling outbreak data: Analysis of a 2012 Ebola virus disease epidemic in DRC
date: 2019-10-15
pages: 12
extension: .pdf
mime: application/pdf
words: 7449
sentence: 345
flesch: 55
cache: cache/biomath-1316.pdf
txt: txt/biomath-1316.txt
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

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.


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
pages: 17
extension: .pdf
mime: application/pdf
words: 8838
sentence: 468
flesch: 65
cache: cache/biomath-1335.pdf
txt: txt/biomath-1335.txt
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.


id: biomath-150
author: Roussel, Marc R
title: On the Distribution of Transcription Times
date: 2013-09-15
pages: 14
extension: .pdf
mime: application/pdf
words: 10503
sentence: 578
flesch: 60
cache: cache/biomath-150.pdf
txt: txt/biomath-150.txt
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.


id: biomath-232
author: Kostadinova, Krasimira; Minkova, Leda
title: On a Bivariate Poisson Negative Binomial Risk Process
date: 2014-06-03
pages: 6
extension: .pdf
mime: application/pdf
words: 3113
sentence: 224
flesch: 81
cache: cache/biomath-232.pdf
txt: txt/biomath-232.txt
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).


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
pages: 11
extension: .pdf
mime: application/pdf
words: 6743
sentence: 416
flesch: 72
cache: cache/biomath-209.pdf
txt: txt/biomath-209.txt
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 .


id: biomath-1287
author: Anita, Sebastian; Beretta, Edoardo; Capasso, Vincenzo
date: 2019-10-13
pages: 19
extension: .pdf
mime: application/pdf
words: 9889
sentence: 568
flesch: 63
cache: cache/biomath-1287.pdf
txt: txt/biomath-1287.txt
title:
  Optimal control strategies for a class of vector borne diseases, exemplified by a toy model for malaria

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′ .


id: biomath-1085
author: Peynaud, Emilie
date: 2018-12-18
pages: 19
extension: .pdf
mime: application/pdf
words: 11504
sentence: 603
flesch: 66
cache: cache/biomath-1085.pdf
txt: txt/biomath-1085.txt
title:
  Operator splitting and discontinuous Galerkin methods for advection-reaction-diffusion problem. Application to plant root growth

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


id: biomath-223
author: Markov, Svetoslav Marinov
title: Cell Growth Models Using Reaction Schemes: Batch Cultivation
date: 2014-01-25
pages: 9
extension: .pdf
mime: application/pdf
words: 5927
sentence: 300
flesch: 59
cache: cache/biomath-223.pdf
txt: txt/biomath-223.txt
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.


id: biomath-28
author: Nikolova, Elena; Jordanov, Ivan; Vitanov, Nikolay
title: Dynamical Analysis of the MicroRNA – Mediated Protein Translation Process
date: 2013-01-07
pages: 6
extension: .pdf
mime: application/pdf
words: 3756
sentence: 166
flesch: 50
cache: cache/biomath-28.pdf
txt: txt/biomath-28.txt
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].


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
pages: 19
extension: .pdf
mime: application/pdf
words: 11448
sentence: 558
flesch: 52
cache: cache/biomath-1421.pdf
txt: txt/biomath-1421.txt
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).


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
pages: 18
extension: .pdf
mime: application/pdf
words: 10584
sentence: 551
flesch: 69
cache: cache/biomath-210.pdf
txt: txt/biomath-210.txt
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).


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
pages: 16
extension: .pdf
mime: application/pdf
words: 9224
sentence: 504
flesch: 71
cache: cache/biomath-216.pdf
txt: txt/biomath-216.txt
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 ∈


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
pages: 10
extension: .pdf
mime: application/pdf
words: 5897
sentence: 255
flesch: 48
cache: cache/biomath-244.pdf
txt: txt/biomath-244.txt
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.


id: biomath-1327
author: Adak, Debadatta; Bairagi, Nandadulal; Hakl, Robert
date: 2020-12-31
pages: 20
extension: .pdf
mime: application/pdf
words: 11023
sentence: 688
flesch: 72
cache: cache/biomath-1327.pdf
txt: txt/biomath-1327.txt
title:
  Accounting for multi-delay effects in an HIV-1 infection model with saturated infection rate, recovery and proliferation of host cells

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.


id: biomath-206
author: Sonner, Stefanie
title: A Class of Mathematical Models Describing Processes in Spatially Heterogeneous Biofilm Communities
date: 2014-01-08
pages: 10
extension: .pdf
mime: application/pdf
words: 6762
sentence: 289
flesch: 49
cache: cache/biomath-206.pdf
txt: txt/biomath-206.txt
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].


id: biomath-1293
author: Clairambault, Jean; Pouchol, Camille
date: 2019-05-24
pages: 23
extension: .pdf
mime: application/pdf
words: 14269
sentence: 562
flesch: 45
cache: cache/biomath-1293.pdf
txt: txt/biomath-1293.txt
title:
  A survey of adaptive cell population dynamics models of emergence of drug resistance in cancer, and open questions about evolution and cancer

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.


id: biomath-200
author: Knipl, Diána H; Röst, Gergely
title: Backward Bifurcation in SIVS Model with Immigration of Non-Infectives
date: 2014-01-07
pages: 14
extension: .pdf
mime: application/pdf
words: 10214
sentence: 498
flesch: 71
cache: cache/biomath-200.pdf
txt: txt/biomath-200.txt
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


id: biomath-26
author: BIOMATH 2012, Organising Committee of
title: In Memoriam: Antony Popov (1962-2012)
date: 2012-12-21
pages: 1
extension: .pdf
mime: application/pdf
words: 525
sentence: 32
flesch: 48
cache: cache/biomath-26.pdf
txt: txt/biomath-26.txt
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.


id: biomath-230
author: Castillo-Chavez, Carlos
date: 2014-02-15
pages: 2
extension: .pdf
mime: application/pdf
words: 1096
sentence: 42
flesch: 38
cache: cache/biomath-230.pdf
txt: txt/biomath-230.txt
title:
  Chalenges and Opportunities in Mathematical and Theoretical Biology and Medicine: Foreword to Volume 2 (2013) of Biomath

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.


id: biomath-46
author: Markov, Svetoslav
title: From the Guest-Editor
date: 2012-12-22
pages: 1
extension: .pdf
mime: application/pdf
words: 338
sentence: 22
flesch: 56
cache: cache/biomath-46.pdf
txt: txt/biomath-46.txt
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.


id: biomath-23
author: Markov, Svetoslav
title: From the Guest Editor
date: 2012-10-11
pages: 1
extension: .pdf
mime: application/pdf
words: 261
sentence: 19
flesch: 59
cache: cache/biomath-23.pdf
txt: txt/biomath-23.txt
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.


id: biomath-24
author: BIOMATH 2012, Organising Committee of
title: In Memoriam: Stefan Dodunekov (1945-2012)
date: 2012-12-21
pages: 1
extension: .pdf
mime: application/pdf
words: 483
sentence: 31
flesch: 61
cache: cache/biomath-24.pdf
txt: txt/biomath-24.txt
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).


id: biomath-40
author: Liolios, Konstantinos; Radev, Stefan; Liolios, Asterios; Georgiev, Ivan; Georgiev, Krassimir
date: 2012-12-29
pages: 5
extension: .pdf
mime: application/pdf
words: 2562
sentence: 136
flesch: 48
cache: cache/biomath-40.pdf
txt: txt/biomath-40.txt
title:
  A Linear Complementarity Numerical Approach to the Non-Convex Problem of Structures Environmentally Damaged and Strengthened by Cable-Bracings

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.


id: biomath-38
author: Svanadze, Merab; Scalia, Antonio
title: Mathematical Problems in the Theory of Bone Poroelasticity
date: 2012-12-27
pages: 4
extension: .pdf
mime: application/pdf
words: 2802
sentence: 163
flesch: 62
cache: cache/biomath-38.pdf
txt: txt/biomath-38.txt
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.


id: biomath-21
author: Schnell, Santiago
title: The Art of Mathematical Biology: a Foreword for the Launch of BIOMATH
date: 2012-10-09
pages: 2
extension: .pdf
mime: application/pdf
words: 1143
sentence: 67
flesch: 32
cache: cache/biomath-21.pdf
txt: txt/biomath-21.txt
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.


id: biomath-48
author: Popov, Antony; Stoykov, Simeon
title: Rough Sets in Biomedical Informatics
date: 2013-01-13
pages: 5
extension: .pdf
mime: application/pdf
words: 3234
sentence: 169
flesch: 55
cache: cache/biomath-48.pdf
txt: txt/biomath-48.txt
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.


id: biomath-781
author: Gürbüz, Burcu; Sezer, Mehmet
date: 2017-06-08
pages: 5
extension: .pdf
mime: application/pdf
words: 1928
sentence: 120
flesch: 60
cache: cache/biomath-781.pdf
txt: txt/biomath-781.txt
title:
  Numerical solutions of one-dimensional parabolic convection-diffusion problems arising in biology by the Laguerre collocation method

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.


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
pages: 7
extension: .pdf
mime: application/pdf
words: 3193
sentence: 149
flesch: 61
cache: cache/biomath-365.pdf
txt: txt/biomath-365.txt
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.


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
pages: 6
extension: .pdf
mime: application/pdf
words: 4473
sentence: 204
flesch: 58
cache: cache/biomath-34.pdf
txt: txt/biomath-34.txt
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.


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
pages: 6
extension: .pdf
mime: application/pdf
words: 4652
sentence: 226
flesch: 59
cache: cache/biomath-35.pdf
txt: txt/biomath-35.txt
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.


id: biomath-711
author: Iliev, Anton Iliev; Kyurkchiev, Nikolay; Markov, Svetoslav
date: 2016-09-17
pages: 6
extension: .pdf
mime: application/pdf
words: 2116
sentence: 104
flesch: 58
cache: cache/biomath-711.pdf
txt: txt/biomath-711.txt
title:
  On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function

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.


id: biomath-228
author: Mitov, Ivan
title: 130th Anniversary of Prof. Dr. Vladimir Markov
date: 2014-02-11
pages: 5
extension: .pdf
mime: application/pdf
words: 3103
sentence: 168
flesch: 51
cache: cache/biomath-228.pdf
txt: txt/biomath-228.txt
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.


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
pages: 6
extension: .pdf
mime: application/pdf
words: 3885
sentence: 235
flesch: 62
cache: cache/biomath-20.pdf
txt: txt/biomath-20.txt
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, ...,


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
pages: 7
extension: .pdf
mime: application/pdf
words: 3386
sentence: 179
flesch: 65
cache: cache/biomath-557.pdf
txt: txt/biomath-557.txt
summary:
  From N = X + Yv + For the models to give insight into the transmission dynamics of HIV, model parameters are of great significance.


id: biomath-2
author: Pesheva, Nina Christova; Brankov, Jordan Georgiev
date: 2012-12-21
pages: 7
extension: .pdf
mime: application/pdf
words: 4699
sentence: 238
flesch: 60
cache: cache/biomath-2.pdf
txt: txt/biomath-2.txt
title:
  Position-Induced Phase Change in a TASEP with a Double-Chain Section (a Model of Biological Transport)

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.


id: biomath-916
author: Ali, Moussaoui; Alaoui, M. A. Aziz; Yafia, R.
date: 2017-07-20
pages: 8
extension: .pdf
mime: application/pdf
words: 4207
sentence: 225
flesch: 67
cache: cache/biomath-916.pdf
txt: txt/biomath-916.txt
title:
  Permanence and periodic solution for a modified Leslie-Gower type predator-prey model with diffusion and non constant coefficients

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.


id: biomath-29
author: Dufourd, Claire; Dumont, Yves
title: Modeling and Simulations of Mosquito Dispersal. The Case of Aedes albopictus
date: 2012-12-31
pages: 7
extension: .pdf
mime: application/pdf
words: 4206
sentence: 272
flesch: 63
cache: cache/biomath-29.pdf
txt: txt/biomath-29.txt
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.


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
pages: 7
extension: .pdf
mime: application/pdf
words: 4465
sentence: 190
flesch: 55
cache: cache/biomath-211.pdf
txt: txt/biomath-211.txt
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.


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
pages: 6
extension: .pdf
mime: application/pdf
words: 4037
sentence: 201
flesch: 54
cache: cache/biomath-9.pdf
txt: txt/biomath-9.txt
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.


id: biomath-343
author: Rashkov, Peter
title: Regular and Discontinuous Solutions in a Reaction-Diffusion Model for Hair Follicle Spacing
date: 2014-12-05
pages: 12
extension: .pdf
mime: application/pdf
words: 6650
sentence: 426
flesch: 74
cache: cache/biomath-343.pdf
txt: txt/biomath-343.txt
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.


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
pages: 10
extension: .pdf
mime: application/pdf
words: 6709
sentence: 359
flesch: 57
cache: cache/biomath-208.pdf
txt: txt/biomath-208.txt
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.


id: biomath-333
author: Nikolov, Svetoslav Ganchev
title: Modelling and Analysis of miRNA Regulation
date: 2014-09-17
pages: 15
extension: .pdf
mime: application/pdf
words: 7651
sentence: 425
flesch: 67
cache: cache/biomath-333.pdf
txt: txt/biomath-333.txt
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.


id: biomath-567
author: Campos, José Renato; Assuncao, Edvaldo; Silva, Geraldo Nunes; Lodwick, Weldon
date: 2016-05-11
pages: 11
extension: .pdf
mime: application/pdf
words: 6044
sentence: 289
flesch: 48
cache: cache/biomath-567.pdf
txt: txt/biomath-567.txt
title:
  Biological control of caterpillar sugarcane (Diatraea saccharalis) considering interval mathematical models

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.


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
pages: 14
extension: .pdf
mime: application/pdf
words: 7714
sentence: 438
flesch: 65
cache: cache/biomath-376.pdf
txt: txt/biomath-376.txt
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.


id: biomath-578
author: Bazhlekova, Emilia; Bazhlekov, Ivan
title: Peristaltic transport of viscoelastic bio-fluids with fractional derivative models
date: 2016-06-02
pages: 12
extension: .pdf
mime: application/pdf
words: 6546
sentence: 350
flesch: 63
cache: cache/biomath-578.pdf
txt: txt/biomath-578.txt
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.


id: biomath-413
author: Pete, A.N.; Mathye, Peter; Fedotov, Igor; Shatalov, Michael
date: 2016-05-11
pages: 7
extension: .pdf
mime: application/pdf
words: 3379
sentence: 171
flesch: 61
cache: cache/biomath-413.pdf
txt: txt/biomath-413.txt
title:
  Determination of parameters for Cauchy's problem for systems of ODEs with application to biological modelling

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.


id: biomath-476
author: Britton, Nicholas; Almeida Neto, Mario; Corso, Gilberto
date: 2016-01-18
pages: 9
extension: .pdf
mime: application/pdf
words: 5273
sentence: 227
flesch: 64
cache: cache/biomath-476.pdf
txt: txt/biomath-476.txt
title:
  Which Matrices Show Perfect Nestedness or the Absence of Nestedness? An Analytical Study on the Performance of NODF and WNODF

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.


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
pages: 6
extension: .pdf
mime: application/pdf
words: 2961
sentence: 125
flesch: 34
cache: cache/biomath-795.pdf
txt: txt/biomath-795.txt
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.


id: biomath-4
author: Timofte, Claudia
title: Multiscale Analysis of Composite Structures
date: 2012-10-09
pages: 5
extension: .pdf
mime: application/pdf
words: 3120
sentence: 174
flesch: 68
cache: cache/biomath-4.pdf
txt: txt/biomath-4.txt
summary:
  such that ϕ|Ωε ∈ L 2(0, T ; H1(Ωε)), ϕ|Πε ∈ L 2(0, T ; H1(Πε)), [ϕ] ∈ H1(0, T ; L2(Sε)), ϕ vanishes on ∂Ω×(0, T ) and ϕ vanishes at t = T . = f in Ωε × (0, T ), −div (Aε2∇v ε) = f in Πε × (0, T ), Aε1∇u ε · ν = Aε2∇v ε · ν on Sε × (0, T ), Aε1∇u ε · ν + αε ∂ ∂t (uε − vε) = aεg(vε − uε) on Sε × (0, T ), uε = 0 on ∂Ω × (0, T ), uε(0, x) − vε(0, x) = c0(x) on Sε. (1) Here, ν is the unit outward normal to Ωε, a > 0, f ∈ L2(0, T ; L2(Ω)), c0 ∈ H10 (Ω), α > 0 and β and g are continuous functions, monotonously non-decreasing and such that β(0) = 0 and g(0)


id: biomath-36
author: Roeva, Olympia; Trenkova, Tanya
title: Modelling of a Fed-Batch Culture Applying Simulated Annealing
date: 2012-12-22
pages: 6
extension: .pdf
mime: application/pdf
words: 3278
sentence: 173
flesch: 49
cache: cache/biomath-36.pdf
txt: txt/biomath-36.txt
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.


id: biomath-506
author: Dougherty, Edward
date: 2016-02-02
pages: 16
extension: .pdf
mime: application/pdf
words: 8809
sentence: 506
flesch: 56
cache: cache/biomath-506.pdf
txt: txt/biomath-506.txt
title:
  Efficient Implicit Runge-Kutta Methods for Fast-Responding Ligand-Gated Neuroreceptor Kinetic Models

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.


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
pages: 18
extension: .pdf
mime: application/pdf
words: 10425
sentence: 634
flesch: 66
cache: cache/biomath-214.pdf
txt: txt/biomath-214.txt
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.


id: biomath-355
author: Shivaranjan, Nagaranjan; Miller, John J H; Valarmathi, Sigmani
date: 2014-12-05
pages: 8
extension: .pdf
mime: application/pdf
words: 3613
sentence: 246
flesch: 78
cache: cache/biomath-355.pdf
txt: txt/biomath-355.txt
title:
  A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations

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.


id: biomath-726
author: Markov, Svetoslav Marinov
title: Building reaction kinetic models for amiloid fibril growth
date: 2016-08-08
pages: 11
extension: .pdf
mime: application/pdf
words: 6264
sentence: 378
flesch: 66
cache: cache/biomath-726.pdf
txt: txt/biomath-726.txt
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


id: biomath-573
author: Raj, Ishwariya; Johnson, Princy Mercy; Miller, John J.H; Sigamani, Valarmathi
date: 2016-09-11
pages: 8
extension: .pdf
mime: application/pdf
words: 3805
sentence: 215
flesch: 65
cache: cache/biomath-573.pdf
txt: txt/biomath-573.txt
title:
  A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations

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.


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
pages: 13
extension: .pdf
mime: application/pdf
words: 6281
sentence: 355
flesch: 62
cache: cache/biomath-566.pdf
txt: txt/biomath-566.txt
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.


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
pages: 17
extension: .pdf
mime: application/pdf
words: 7695
sentence: 414
flesch: 74
cache: cache/biomath-362.pdf
txt: txt/biomath-362.txt
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).


id: biomath-33
author: Fabris-Rotelli, Inger
title: Nonlinear Filters and Characterization of the Discrete Pulse Transform of Images
date: 2012-12-29
pages: 7
extension: .pdf
mime: application/pdf
words: 4605
sentence: 236
flesch: 57
cache: cache/biomath-33.pdf
txt: txt/biomath-33.txt
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.


id: biomath-5
author: Hingley, Peter
title: Exploring Family Relations between International Patent Applications
date: 2012-10-10
pages: 7
extension: .pdf
mime: application/pdf
words: 4403
sentence: 218
flesch: 55
cache: cache/biomath-5.pdf
txt: txt/biomath-5.txt
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.


id: biomath-345
author: Sharma, Kharananda; Roth, Bradley John
title: How Compressibility Influences the Mechanical Bidomain Model
date: 2014-12-31
pages: 11
extension: .pdf
mime: application/pdf
words: 6378
sentence: 327
flesch: 64
cache: cache/biomath-345.pdf
txt: txt/biomath-345.txt
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.


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
pages: 11
extension: .pdf
mime: application/pdf
words: 6462
sentence: 405
flesch: 87
cache: cache/biomath-986.pdf
txt: txt/biomath-986.txt
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.


id: biomath-387
author: Diaby, Mouhamadou
title: Stability Analysis of a Schistosomiasis Transmission Model with Control Strategies
date: 2015-05-20
pages: 13
extension: .pdf
mime: application/pdf
words: 6698
sentence: 442
flesch: 64
cache: cache/biomath-387.pdf
txt: txt/biomath-387.txt
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.


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
pages: 6
extension: .pdf
mime: application/pdf
words: 3284
sentence: 166
flesch: 64
cache: cache/biomath-6.pdf
txt: txt/biomath-6.txt
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).


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
pages: 12
extension: .pdf
mime: application/pdf
words: 6663
sentence: 341
flesch: 46
cache: cache/biomath-552.pdf
txt: txt/biomath-552.txt
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.


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
pages: 30
extension: .pdf
mime: application/pdf
words: 18268
sentence: 998
flesch: 70
cache: cache/biomath-392.pdf
txt: txt/biomath-392.txt
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.


# url

id: biomath-1381
domain: www.france24.com
url:
  https://www.france24.com/en/20200317-frenchlockdown-comes-into-force-in-bid-to-curtail-spread-ofdeadly-virus


id: biomath-1381
domain: www.aljazeera.com
url:
  https://www.aljazeera.com/news/2020/03/covid19-africa-told-prepare-worst-response200319085112877.html


id: biomath-1423
domain: www.researchgate.net
url:
  https://www.researchgate.net/profile/carlos-castillo-chavez/publication/228915276_on_the_computation_of_r_and_its_role_on_global_stability/links/0fcfd50a569d32c708000000/on-the-computation-of-r-and-its-role-on-global-stability.pdf


id: biomath-1344
domain: www.who.int
url:
  https://www.who.int/docs/default-source/coronaviruse/situation-reports/20200306-sitrep-46-covid-19.pdf?sfvrsn=96b04adf_2


id: biomath-1501
domain: www.elsevier.com
url:
  https://www.elsevier.com/books/biomass-gasification-pyrolysis-and-torrefaction/basu/978-0-12-812992-0


id: biomath-1501
domain: www.lucaturchet.it
url:
  http://www.lucaturchet.it/public_downloads/publications/conferences/fast_approximation_of_the_lambert_w_function_for_virtual_analog_modelling.pdf


id: biomath-1507
domain: www.who.int
url:
  https://www.who.int/docs/default-source/coronaviruse/who-china-joint-mission-on-covid-19-final-report.pdf


id: biomath-1450
domain: library.health.go.ug
url:
  http://library.health.go.ug/publications/hepatitis-b/ugandaguidelines-prevention-testing-care-and-treatment-hepatitis-band-c


id: biomath-1450
domain: library.health.go.ug
url:
  http://library.health.go.ug/publications/hepatitis-b/uganda-guidelines-prevention-testing-care-and-treatment-hepatitis-b-and-c


id: biomath-1450
domain: www.researchgate.net
url:
  https://www.researchgate.net/profile/dennis-muriithi/publication/283072306_mathematical_analysis_of_a_comprehensive_hiv_aids_model_treatment_versus_vaccination/links/5628b57a08ae518e347c6083/mathematical-analysis-of-a-comprehensive-hiv-aids-model-treatment-versus-vaccination.pdf


id: biomath-22
domain: www.diagnosisp.com
url:
  http://www.diagnosisp.com/dp/journals/issue.php?journal_id=1&archive=1&issue_id=41&phpsessid=9crco9j9nvf7okojcefc49blm4


id: biomath-1258
domain: ac.els-cdn.com
url:
  http://ac.els-cdn.com/s2468042716300173/1-s2.0-s2468042716300173-main.pdf?{\_}tid=c8ed3798-8db2-11e7-b1dc-00000aacb360{\&}acdnat=1504118647{\_}14d164bb702c07064ef2e80eeff2e974


# ent

id: biomath-16
sid: 169
eid: 6
type: ORG
entity:
  http://dx.doi.org/10.1196/annals.1374.041 http://dx.doi.org/10.11145/j.biomath.2012.09.256 introduction


id: biomath-19
sid: 242
eid: 6
type: ORG
entity:
  http://dx.doi.org/10.1016/j.nonrwa.2007.04.001 http://dx.doi.org/10.1137/070694582 http://dx.doi.org/10.1016/j.jmaa.2009.10.044 http://dx.doi.org/10.1007/s11538-008-9386-2


id: biomath-19
sid: 279
eid: 7
type: ORG
entity:
  http://dx.doi.org/10.1016/j.physa.2005.11.035 http://dx.doi.org/10.1016/j.mbs.2009.11.009 http://dx.doi.org/10.1098/rspa.2011.0349


id: biomath-1344
sid: 14
eid: 12
type: WORK_OF_ART
entity:
  https://creativecommons.org/licenses/by/4.0/ http://dx.doi.org/10.11145/j.biomath.2020.05.103 r. anguelov


id: biomath-1344
sid: 209
eid: 1
type: PERSON
entity:
  https://doi.org/10.25561/77482 https://www.medrxiv.org/content/10.1101/2020.03.26.20044446v2 https://www.medrxiv.org/content/10.1101/2020.03.26.20044446v2


id: biomath-1344
sid: 214
eid: 1
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