abstract：:In 1992, Watts and May introduced a simple dynamical systems model of the spread of HIV based on disease transmission per partnership including the length of partnership duration. This model allowed for the treatment of concurrent partnerships, although it was hampered by the assumption of an important latent phase wh...

journal_title：Mathematical biosciences

authors： Gurski KF,Hoffman KA

更新日期：2016-12-01 00:00:00

abstract：:In the present paper, we propose and analyze an eco-epidemiological model with diffusion to study the dynamics of rabbit populations which are consumed by lynx populations. Existence, boundedness, stability and bifurcation analyses of solutions for the proposed rabbit-lynx model are performed. Results show that in the...

journal_title：Mathematical biosciences

authors： Upadhyay RK,Roy P,Venkataraman C,Madzvamuse A

更新日期：2016-11-01 00:00:00

abstract：OBJECTIVE:Biological processes actually are a dynamic molecular process over time. Time course gene expression experiments provide opportunities to explore patterns of gene expression change over a time and understand the dynamic behavior of gene expression, which is crucial for study on development and progression of ...

journal_title：Mathematical biosciences

authors： Li Y,He Y,Zhang Y

更新日期：2016-11-01 00:00:00

abstract：:The ICING model has been successfully used to guide clinical decisions on insulin administration in critical illness. However, insulin pharmacokinetics in the ICING model can be improved to better describe both intravenous (IV) bolus and infusion insulin administration. Patient data from 217 Dynamic Insulin Sensitivit...

journal_title：Mathematical biosciences

authors： Fisk L,Docherty PD,Pretty C,Chase JG

更新日期：2016-11-01 00:00:00

abstract：:In a random walk (RW) in Z an individual starts at 0 and moves at discrete unitary steps to the right or left with respective probabilities p and 1-p. Assuming p > 1/2 and finite a, a > 1, the probability that state a will be reached before -a is Q(a, p) where Q(a, p) > p. Here we introduce the cooperative random walk...

journal_title：Mathematical biosciences

authors： Hernandez-Suarez CM

更新日期：2016-09-01 00:00:00

abstract：:The aim of this paper is to develop a minimal model describing events leading to the onset of Parkinson's disease (PD). The model accounts for α-synuclein (α-syn) production in the soma, transport toward the synapse, misfolding, and aggregation. The production and aggregation of polymeric α-syn is simulated using a mi...

journal_title：Mathematical biosciences

authors： Kuznetsov IA,Kuznetsov AV

更新日期：2016-08-01 00:00:00

abstract：:Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's pe...

journal_title：Mathematical biosciences

authors： Jiang Y,Zhang Q,Wang H

更新日期：2016-07-01 00:00:00

abstract：:In continuous phosphate-limited conditions, under pH control from high pH (pH ≳ 5.2) to low pH (pH ≲ 5.2), the metabolism of the Gram-positive bacterium Clostridium acetobutylicum,switches from acid to solvent production. Three main enzymes are responsible for the shift, acetoacetate decarboxylase (Adc), alcohol dehyd...

journal_title：Mathematical biosciences

authors： Thorn GJ,King JR

更新日期：2016-06-01 00:00:00

abstract：:The effects of pulsatile GnRH stimulation on anterior pituitary cells are studied using perifusion cell cultures, where constantly moving culture medium over the immobilized cells allows intermittent GnRH delivery. The LH content of the outgoing medium serves as a readout of the GnRH signaling pathway activation in th...

journal_title：Mathematical biosciences

authors： Temamogullari NE,Nijhout HF,C Reed M

更新日期：2016-06-01 00:00:00

abstract：:Habitat heterogeneity can have profound effects on the spreading dynamics of invasive species. Using integro-difference equations, we investigate the spreading dynamics in a one-dimensional heterogeneous landscape comprising alternating favourable and unfavourable habitat patches or randomly generated habitat patches ...

journal_title：Mathematical biosciences

authors： Ramanantoanina A,Hui C

更新日期：2016-05-01 00:00:00

abstract：:Many microbial ecosystems can be seen as microbial 'food chains' where the different reaction steps can be seen as such: the waste products of the organisms at a given reaction step are consumed by organisms at the next reaction step. In the present paper we study a model of a two-step biological reaction with feedbac...

journal_title：Mathematical biosciences

authors： Sari T,Harmand J

更新日期：2016-05-01 00:00:00

abstract：:In this paper, the problem of robust stability of nonlinear genetic regulatory networks (GRNs) is investigated. The developed method is an integral sliding mode control based redesign for a class of perturbed dissipative switched GRNs with time delays. The control law is redesigned by modifying the dissipativity-based...

journal_title：Mathematical biosciences

authors： Moradi H,Majd VJ

更新日期：2016-05-01 00:00:00

abstract：:A mechanistic model of the Fitzhugh-Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasmonate and the MYC2 ...

journal_title：Mathematical biosciences

authors： Chiangga S,Pornkaveerat W,Frank TD

更新日期：2016-03-01 00:00:00

abstract：:Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The model draws attention to the role of viability selections of different types to...

journal_title：Mathematical biosciences

authors： Sarkar B

更新日期：2016-01-01 00:00:00

abstract：:Malaria is an infectious disease present all around the globe and responsible for half a million deaths per year. A within-host model of this infection requires a framework capable of properly approximating not only the blood stage of the infection but also the erythropoietic process that is in charge of overcoming th...

journal_title：Mathematical biosciences

authors： Fonseca LL,Voit EO

更新日期：2015-12-01 00:00:00

abstract：:A simulation method is presented for the demographic and genetic variation of age structured haploid populations. First, we use matrix analytic methods to derive an equilibrium distribution for the age class sizes conditioned on the total population size. Knowledge of this distribution eliminates the need of a burn-in...

journal_title：Mathematical biosciences

authors： Olsson F,Hössjer O

更新日期：2015-10-01 00:00:00

abstract：:In this paper, we consider a deterministic malaria transmission model with standard incidence rate and treatment. Human population is divided into susceptible, infectious and recovered subclasses, and mosquito population is split into susceptible and infectious classes. It is assumed that, among individuals with malar...

journal_title：Mathematical biosciences

authors： Feng X,Ruan S,Teng Z,Wang K

更新日期：2015-08-01 00:00:00

abstract：:Classification of microarray data has always been a challenging task because of the enormous number of genes. In this study, a clustering method by integrating plant stress response gene expression data with biological knowledge is presented. Clustering is one of the promising tools for attribute reduction, but gene c...

journal_title：Mathematical biosciences

authors： Meng J,Li R,Luan Y

更新日期：2015-08-01 00:00:00

abstract：:A novel multi-input single output (MISO) black-box sigmoid model is developed to simulate the biosorption of heavy metal cations by the fission yeast from aqueous medium. Validation and verification of the model is done through statistical chi-squared hypothesis tests and the model is evaluated by uncertainty and sens...

journal_title：Mathematical biosciences

authors： Özen R,Sayar NA,Durmaz-Sam S,Sayar AA

更新日期：2015-07-01 00:00:00

abstract：:A key feature of cell migration is how cell movement is affected by cell-cell interactions. Furthermore, many cell migratory processes such as neural crest stem cell migration [Thomas and Erickson, 2008; McLennan et al., 2012] occur on growing domains or in the presence of a chemoattractant. Therefore, it is important...

journal_title：Mathematical biosciences

authors： Ross RJ,Yates CA,Baker RE

更新日期：2015-06-01 00:00:00

abstract：:The contraction of intestinal smooth muscle cells (ISMCs) involves many coordinated biochemical and mechanical processes. In this work, we present a framework for modeling ISMC contractility that begins with chemical models of calcium dynamics, continues with myosin light chain phosphorylation and force generation, an...

journal_title：Mathematical biosciences

authors： Young J,Ozisik S,Riviere B,Shamim M

更新日期：2015-04-01 00:00:00

abstract：:Amyloid beta (Aβ) peptides, and in particular Aβ42, are found in senile plaques associated with Alzheimer's disease. A compartmental model of Aβ production, exchange and irreversible loss was recently developed to explain the kinetics of isotope-labeling of Aβ peptides collected in cerebrospinal fluid (CSF) following ...

journal_title：Mathematical biosciences

authors： Elbert DL,Patterson BW,Bateman RJ

更新日期：2015-03-01 00:00:00

abstract：:Inflammation plays a critical role in the development and progression of cancer, evident in multiple patient populations manifesting increased, non-resolving inflammation, such as inflammatory bowel disease, viral hepatitis and obesity. Given the complexity of both the inflammatory response and the process of oncogene...

journal_title：Mathematical biosciences

authors： An G,Kulkarni S

更新日期：2015-02-01 00:00:00

abstract：:In microarray data analysis, traditional methods that focus on single genes are increasingly replaced by methods that analyse functional units corresponding to biochemical pathways, as these are considered to offer more insight into gene expression and disease associations. However, the development of robust pipelines...

journal_title：Mathematical biosciences

authors： Yang L,Ainali C,Kittas A,Nestle FO,Papageorgiou LG,Tsoka S

更新日期：2015-02-01 00:00:00

abstract：:A mathematical model for multispecies biofilm evolution based on continuum approach and mass conservation principles is presented. The model can describe biofilm growth dynamics including spatial distribution of microbial species, substrate concentrations, attachment, and detachment, and, in particular, is able to pre...

journal_title：Mathematical biosciences

authors： D'Acunto B,Frunzo L,Klapper I,Mattei MR

更新日期：2015-01-01 00:00:00

abstract：:HIF (hypoxia inducible factor) is an oxygen-regulated transcription factor that mediates the intracellular response to hypoxia in human cells. There is increasing evidence that cell signaling pathways encode temporal information, and thus cell fate may be determined by the dynamics of protein levels. We have developed...

journal_title：Mathematical biosciences

authors： Leedale J,Herrmann A,Bagnall J,Fercher A,Papkovsky D,Sée V,Bearon RN

更新日期：2014-12-01 00:00:00

abstract：:In the Western world approximately 10% of the population experience severe depression at least once in their lifetime and many more experience a mild form of depression. Depression has been associated with malfunctions in the hypothalamus-pituitary-adrenal (HPA) axis. We suggest a novel mechanistic non-linear model ca...

journal_title：Mathematical biosciences

authors： Gudmand-Hoeyer J,Timmermann S,Ottesen JT

更新日期：2014-11-01 00:00:00

abstract：:We review a multiscale model of saliva secretion, describing in brief how the model is constructed and what we have so far learned from it. The model begins at the level of inositol trisphosphate receptors (IPR), and proceeds through the cellular level (with a model of acinar cell calcium dynamics) to the multicellula...

journal_title：Mathematical biosciences

authors： Sneyd J,Crampin E,Yule D

更新日期：2014-11-01 00:00:00

abstract：:A biofilm material model and a procedure for numerical integration are developed in this article. They enable calculation of a composite Young's modulus that varies in the biofilm and evolves with deformation. The biofilm-material model makes it possible to introduce a modeling example, produced by the Unified Multi-C...

journal_title：Mathematical biosciences

authors： Laspidou CS,Spyrou LA,Aravas N,Rittmann BE

更新日期：2014-05-01 00:00:00

abstract：:Microorganisms exhibit varied regulatory strategies such as direct regulation, symmetric anticipatory regulation, asymmetric anticipatory regulation, etc. Current mathematical modeling frameworks for the growth of microorganisms either do not incorporate regulation or assume that the microorganisms utilize the direct ...

journal_title：Mathematical biosciences

authors： Mandli AR,Modak JM

更新日期：2014-02-01 00:00:00

abstract：:Many mathematical models in biology and physiology are represented by systems of nonlinear differential equations. In recent years these models have become increasingly complex in order to explain the enormous volume of data now available. A key role of modellers is to determine which components of the model have the ...

journal_title：Mathematical biosciences

authors： Maybank PJ,Whiteley JP

更新日期：2014-02-01 00:00:00

abstract：:In a standard procedure of food safety testing, the presence of the pathogenic bacterium Listeria monocytogenes can be masked by non-pathogenic Listeria. This phenomenon of Listeria overgrowth is not well understood. We present a mathematical model for the growth of a mixed population of L. innocua and L. monocytogene...

journal_title：Mathematical biosciences

authors： Fgaier H,Kalmokoff M,Ells T,Eberl HJ

更新日期：2014-01-01 00:00:00

abstract：:The Yule process generates a class of binary trees which is fundamental to population genetic models and other applications in evolutionary biology. In this paper, we introduce a family of sub-classes of ranked trees, called Ω-trees, which are characterized by imbalance of internal nodes. The degree of imbalance is de...

journal_title：Mathematical biosciences

authors： Disanto F,Schlizio A,Wiehe T

更新日期：2013-11-01 00:00:00

abstract：:This paper investigates problems of disease prevention and epidemic control (DPEC), in which we optimize two sets of decisions: (i) vaccinating individuals and (ii) closing locations, given respective budgets with the goal of minimizing the expected number of infected individuals after intervention. The spread of dise...

journal_title：Mathematical biosciences

authors： Deng Y,Shen S,Vorobeychik Y

更新日期：2013-11-01 00:00:00

abstract：:In the present paper we have first introduced a measure of dynamical entropy of an ecosystem on the basis of the dynamical model of the system. The dynamical entropy which depends on the eigenvalues of the community matrix of the system leads to a consistent measure of complexity of the ecosystem to characterize the d...

journal_title：Mathematical biosciences

authors： Chakrabarti CG,Ghosh K

更新日期：2013-10-01 00:00:00

abstract：:General nonstationary birth-death process with possible catastrophes on finite state space is studied. The approach for obtaining the bounds on the rates of convergence to the limiting characteristics is outlined. Method for construction of the limiting characteristics is proposed. We also show that, as a rule, the in...

journal_title：Mathematical biosciences

authors： Zeifman A,Satin Y,Panfilova T

更新日期：2013-09-01 00:00:00

abstract：:We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard Hodgkin-Huxley model wherein the delay-coupling accounts for the finite propagation tim...

journal_title：Mathematical biosciences

authors： Ao X,Hänggi P,Schmid G

更新日期：2013-09-01 00:00:00

abstract：:A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluat...

journal_title：Mathematical biosciences

authors： Albano G,Giorno V,Román-Román P,Torres-Ruiz F

更新日期：2013-09-01 00:00:00

abstract：:Traits such as skill at foraging and investment in anti-predator defense may vary among individuals within a species population. This intraspecific variation has implications for community dynamics. The implications of intraspecific variation of a consumer in the intermediate level of a tritrophic food chain are explo...

journal_title：Mathematical biosciences

authors： DeAngelis DL

更新日期：2013-08-01 00:00:00

abstract：:There has been important progress in understanding ecological dynamics through the development of the theory of ecological stoichiometry. For example, modeling under this framework allows food quality to affect consumer dynamics. While the effects of nutrient deficiency on consumer growth are well understood, recent d...

journal_title：Mathematical biosciences

authors： Peace A,Zhao Y,Loladze I,Elser JJ,Kuang Y

更新日期：2013-08-01 00:00:00