Effect of non-well-mixed compartment and bulk flow on diffusion through a pore.

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：: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：:Pharmacokinetic models are particularly useful to study the underlying and complex physiological mechanisms contributing to clinical differences across patient subgroups or special populations. Unfortunately, the inherent variability of biological systems and knowledge gaps in physiological data limit confidence in mo...

journal_title：Mathematical biosciences

authors： Scherholz ML,Androulakis IP

更新日期：2019-02-01 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：:The problem of moment closure is central to the study of multitype stochastic population dynamics since equations for moments up to a given order will generally involve higher-order moments. To obtain a Normal approximation, the standard approach is to replace third- and higher-order moments by zero, which may be seve...

journal_title：Mathematical biosciences

authors： Renshaw E

更新日期：2000-11-01 00:00:00

abstract：:This paper deals with a two-microbial species model in competition for a single-resource in the chemostat including general intra- and interspecific density-dependent growth rates with distinct removal rates for each species. In order to understand the effects of intra- and interspecific interference, this general mod...

journal_title：Mathematical biosciences

authors： Fekih-Salem R,Lobry C,Sari T

更新日期：2017-04-01 00:00:00

abstract：:Colorado River is a unique ecosystem and provides important ecological services such as habitat for fish species as well as water power energy supplies. River management for this ecosystem requires assessment and decision support tools for fish which involves protecting, restoring as well as forecasting of future cond...

journal_title：Mathematical biosciences

authors： Yao W,Chen Y

更新日期：2018-04-01 00:00:00

abstract：:This paper provides an introduction to and overview of the use of stochastic models and statistical analysis in the study of ion channels in cell membranes. An extensive bibliography is included. ...

journal_title：Mathematical biosciences

authors： Ball FG,Rice JA

更新日期：1992-12-01 00:00:00

abstract：:Free access to a common pool of resource in a country may lead to over-exploitation and sacrifice future opportunities of harvesting. As such, the protection of a common fishery resource is worth investigating. In this paper we develop a two-period model and a multi-period model to analyze the optimal inter-temporal u...

journal_title：Mathematical biosciences

authors： Chen CC,Hsui CY

更新日期：2007-05-01 00:00:00

abstract：:Distribution or nuclear space-valued stochastic differential equations (SDEs) (diffusions as well as discontinuous equations) are discussed as stochastic models for the behavior of voltage potentials of spatially distributed neurons. A propagation of chaos result is obtained for an interacting system of Hilbert space-...

journal_title：Mathematical biosciences

authors： Kallianpur G

更新日期：1992-12-01 00:00:00

abstract：:A class of models is considered in which the number of unknown parameters exceeds the number of independent equations that are derived from the input/observation configuration. It is shown that, under certain circumstances, if the number of unknown parameters is sufficiently decreased by setting some of the exit param...

journal_title：Mathematical biosciences

authors： Eisenfeld J

更新日期：1996-03-01 00:00:00

abstract：:A new biological growth model is introduced. After random selection of possible growth sites, cells are added in an allowable random direction. Unlike the Eden model, the current model is grid independent and can be adapted to any curved surface. Growths of colonies of as many as 10(5) cells are simulated on planar, c...

journal_title：Mathematical biosciences

authors： Wang CY,Bassingthwaighte JB

更新日期：1997-06-01 00:00:00

abstract：:A stochastic model for the spread of a sexually transmitted disease (STD) is presented. To reflect varying degrees of promiscuity among individuals it is assumed that the infectivity of any infected individual is proportional to the number of previous contacts the individual has had with other infected individuals. In...

journal_title：Mathematical biosciences

authors： Reed WJ

更新日期：2006-05-01 00:00:00

abstract：:In this paper, we consider an aspect of the intra-specific brood-parasitism with a mathematical modelling. As in case of moorhen Gallinula chloropus, the case dealt with in this paper in such that just a part of the whole population has the parasitising behaviour against the individuals belonging to another part of no...

journal_title：Mathematical biosciences

authors： Maruyama J,Seno H

更新日期：1999-03-01 00:00:00

abstract：:A major challenge in matrix-metalloproteinase (MMP) target validation and MMP-inhibitor-drug development for anti-cancer clinical trials is to better understand their complex roles (often competing with each other) in tumor progression. While there is extensive research on the growth-promoting effects of MMPs, the gro...

journal_title：Mathematical biosciences

authors： Nargis NN,Aldredge RC,Guy RD

更新日期：2018-02-01 00:00:00

abstract：:Cell cycle duration and phase transition times are not fixed, even within homogeneous cell populations growing under optimal environmental conditions. We investigate G(1) phase variability from the molecular point of view and propose a mathematical approach to model the protein interactions regulating the transition f...

journal_title：Mathematical biosciences

authors： Chiorino G,Lupi M

更新日期：2002-05-01 00:00:00

abstract：:Some global dynamical properties of catalytic networks, in particular permanence, are closely related with a directed graph representing the differential equation. It can be shown that for every directed graph with a Hamiltonian circuit there is a choice of rate constants such that the system is permanent. On the othe...

journal_title：Mathematical biosciences

authors： Stadler PF,Schuster P

更新日期：1996-01-15 00:00:00

abstract：:The results of recent experimental and epidemiological studies provide evidence on the connection between carcinogenesis, cancer progression, and aging. Existing models, however, are traditionally focused only on one of these aspects of health deterioration. In this paper, we derive a new model of cancer, which descri...

journal_title：Mathematical biosciences

authors： Yashin AI,Akushevich I,Arbeev K,Akushevich L,Kulminski A,Ukraintseva S

更新日期：2009-04-01 00:00:00

abstract：:A two-state variable model in which saturable binding takes place is studied. Two mathematical representations of the same model are considered, one a standard chemical kinetics type of polynomial system, the other a reduced model formed from the original system via a pseudo-steady-state approximation. For a particula...

journal_title：Mathematical biosciences

authors： Chappell MJ

更新日期：1996-04-01 00:00:00

abstract：:Many situations in population biology involve a rate--typically a contact or recruitment rate--which increases linearly for small populations but reaches a maximum value (saturates) for large populations. Models for populations of variable size need to incorporate both characteristics to predict behavior accurately. T...

journal_title：Mathematical biosciences

authors： Kribs-Zaleta CM

更新日期：2004-12-01 00:00:00

abstract：:Reactivity (a.k.a initial growth) is necessary for diffusion driven instability (Turing instability). Using a notion of common Lyapunov function we show that this necessary condition is a special case of a more powerful (i.e. tighter) necessary condition. Specifically, we show that if the linearised reaction matrix an...

journal_title：Mathematical biosciences

authors： Elragig A,Townley S

更新日期：2012-09-01 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：:Invariants are functions of the probabilities of state configurations among lineages, with expected values equal to zero under certain phylogenies. For two-state sequences, the existence of certain quadratic invariants requires a symmetric substitution model. For sequences with more than two states, the necessary cond...

journal_title：Mathematical biosciences

authors： Fu YX,Li WH

更新日期：1991-07-01 00:00:00

abstract：:The problem of testing for treatment effect when some subjects in the treatment group may be unaffected by the treatment is considered. A form of the Lehmann alternative suggested by Conover and Salsburg is used that assumes that each control score has the same distribution as the minimum of the known number of respon...

journal_title：Mathematical biosciences

authors： Razzaghi M,Nanthakumar A

更新日期：1992-04-01 00:00:00

abstract：:A new epidemic model is developed that describes the spread of an infectious disease with fatal risk. The model includes as extreme cases the standard general epidemic process (for diseases that confer immunity after infection) and the fatal epidemic process (for diseases that lead inevitably to death). Both determini...

journal_title：Mathematical biosciences

authors： Lefèvre C,Picard P

更新日期：1993-09-01 00:00:00

abstract：:The vaccination program for pertussis (whooping cough) in the United States consists of giving multiple doses of pertussis vaccine to young children. A demographic model with a steady-state age distribution is used as a basis for building an epidemiologic model for the transmission of pertussis. This age-structured mo...

journal_title：Mathematical biosciences

authors： Hethcote HW

更新日期：1997-10-15 00:00:00

abstract：:Recent experimental data have shown that HIV-specific CD4 T cells provide a very important target for HIV replication. We use mathematical models to explore the effect of specific CD4 T cell infection on the dynamics of virus spread and immune responses. Infected CD4 T cells can provide antigen for their own stimulati...

journal_title：Mathematical biosciences

authors： Wodarz D,Hamer DH

更新日期：2007-09-01 00:00:00

abstract：:The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed...

journal_title：Mathematical biosciences

authors： Andreasen V,Christiansen FB

更新日期：1989-10-01 00:00:00

abstract：:WHO tuberculosis researchers recently published a mathematical model to predict TB incidence decline with fulfillment of Sustainable Development Goal (SDG) subtargets [1]. This model omitted the subtargets of land rights and basic services and of reduction in deaths from climatic disaster, likely highly influential fa...

journal_title：Mathematical biosciences

authors： Wallace D,Wallace R

更新日期：2019-07-01 00:00:00

abstract：:A significant consideration in modeling systems with stages is to obtain models for the individual stages that have probability density functions (pdfs) of residence times that are close to those of the real system. Consequently, the theory of residence time distributions is important for modeling. Here I show first t...

journal_title：Mathematical biosciences

authors： Jacquez JA

更新日期：2002-11-01 00:00:00