Evaluation of the time course of neurotransmitter release from the measured PSC and MPSC.

abstract：:Alcohol consumption and abuse is widespread in sub-Saharan Africa where most HIV infections occur and has been associated with risky sexual behaviors. It may therefore be one of the most common, potentially modifiable HIV risk factors in this region. A deterministic system of ordinary differential equations incorporat...

journal_title：Bulletin of mathematical biology

authors： Malunguza NJ,Hove-Musekwa SD,Musuka G,Mukandavire Z

更新日期：2012-09-01 00:00:00

abstract：:We investigate the existence of oscillatory dynamics and multiple steady-state flow rates in a network with a simple topology and in vivo microvascular blood flow constitutive laws. Unlike many previous analytic studies, we employ the most biologically relevant models of the physical properties of whole blood. Through...

journal_title：Bulletin of mathematical biology

authors： Karst NJ,Storey BD,Geddes JB

更新日期：2015-07-01 00:00:00

abstract：:Here, we consider a game-theoretic model of multilevel selection in which individuals compete based on their payoff and groups also compete based on the average payoff of group members. Our focus is on multilevel social dilemmas: games in which individuals are best off cheating, while groups of individuals do best whe...

journal_title：Bulletin of mathematical biology

authors： Cooney DB

更新日期：2020-05-30 00:00:00

abstract：:Cycles in biological populations have been shown to arise from enemy-victim systems, delayed density dependence, and maternal effects. In an initial effort to model the year-to-year dynamics of natural populations of entomopathogenic nematodes and their insect hosts, we find that a simple, nonlinear, mechanistic model...

journal_title：Bulletin of mathematical biology

authors： Dugaw CJ,Hastings A,Preisser EL,Strong DR

更新日期：2004-05-01 00:00:00

abstract：:Bistability and multistationarity are properties of reaction networks linked to switch-like responses and connected to cell memory and cell decision making. Determining whether and when a network exhibits bistability is a hard and open mathematical problem. One successful strategy consists of analyzing small networks ...

journal_title：Bulletin of mathematical biology

authors： Feliu E,Helmer M

更新日期：2019-04-01 00:00:00

abstract：:We develop the mathematical machinery for the construction of an algebraic-combinatorial model using Petri nets to construct an oriented matroid representation of biochemical pathways. For demonstration purposes, we use a model metabolic pathway example from the literature to derive a general biochemical reaction netw...

journal_title：Bulletin of mathematical biology

authors： Oliveira JS,Bailey CG,Jones-Oliveira JB,Dixon DA

更新日期：2001-11-01 00:00:00

abstract：:We study the emergence of collective spatio-temporal objects in biological systems by representing individually the elementary interactions between their microscopic components. We use the immune system as a prototype for such interactions. The results of this detailed explicit analysis are compared with the tradition...

journal_title：Bulletin of mathematical biology

authors： Louzoun Y,Solomon S,Atlan H,Cohen IR

更新日期：2003-05-01 00:00:00

abstract：:Evidence suggests that many G protein-coupled receptors (GPCRs) are bound together forming dimers. The implications of dimerisation for cellular signalling outcomes, and ultimately drug discovery and therapeutics, remain unclear. Consideration of ligand binding and signalling via receptor dimers is therefore required ...

journal_title：Bulletin of mathematical biology

authors： White C,Bridge LJ

更新日期：2019-09-01 00:00:00

abstract：:The time-dependent surface coverage of antigen-antibody complexes for a sensor in which antigens are bound to surface immobilized antibodies is determined analytically. Assuming a reversible first order reaction between the antigens and antibodies, a model is derived describing the dynamical response of the sensor. Th...

journal_title：Bulletin of mathematical biology

authors： Geurts BJ

更新日期：1989-01-01 00:00:00

abstract：:The paper presents results on the asymptotic properties of the least-squares estimates (LSEs) of the reaction constants in mass-action, stochastic, biochemical network models. LSEs are assumed to be based on the longitudinal data from partially observed trajectories of a stochastic dynamical system, modeled as a conti...

journal_title：Bulletin of mathematical biology

authors： Rempala GA

更新日期：2012-08-01 00:00:00

abstract：:Coalescent models of evolution account for incomplete lineage sorting by specifying a species tree parameter which determines a distribution on gene trees, and consequently, a site pattern probability distribution. It has been shown that the unrooted topology of the species tree parameter of the multispecies coalescen...

journal_title：Bulletin of mathematical biology

authors： Long C,Kubatko L

更新日期：2019-02-01 00:00:00

abstract：:We have programmed a Monte Carlo simulation of the Q-cycle model of electron transport in cytochrome b(6)f complex, an enzyme in the photosynthetic pathway that converts sunlight into biologically useful forms of chemical energy. Results were compared with published experiments of Kramer and Crofts (Biochim. Biophys. ...

journal_title：Bulletin of mathematical biology

authors： Schumaker MF,Kramer DM

更新日期：2011-09-01 00:00:00

abstract：:A mathematical model is presented for the steps in the elongation process, and the steady-state elongation rate as a function of the amino acid concentrations is found. In addition, the reset sub-process of the elongation process is modeled. The rate of elongation of peptide chains is found to be a function of the con...

journal_title：Bulletin of mathematical biology

authors： Heyd A,Drew DA

更新日期：2003-11-01 00:00:00

abstract：:In Xenopus and Drosophila, the nucleocytoplasmic ratio controls many aspects of cell-cycle remodeling during the transitory period that leads from fast and synchronous cell divisions of early development to the slow, carefully regulated growth and divisions of somatic cells. After the fifth cleavage in sea urchin embr...

journal_title：Bulletin of mathematical biology

authors： Ciliberto A,Tyson JJ

更新日期：2000-01-01 00:00:00

abstract：:To investigate morphogenesis and in particular circularization mechanisms in young mycelia, we observe cultures of the zygomycete Mucor spinosus and develop discrete models of two-dimensional filamental branching growth. The models are based on the hypothesis that the fungus secretes a regulatory substance that diffus...

journal_title：Bulletin of mathematical biology

authors： Indermitte C,Liebling M,Clémençon H

更新日期：1994-07-01 00:00:00

abstract：:Spatial interactions are key determinants in the dynamics of many epidemiological and ecological systems; therefore it is important to use spatio-temporal models to estimate essential parameters. However, spatially-explicit data sets are rarely available; moreover, fitting spatially-explicit models to such data can be...

journal_title：Bulletin of mathematical biology

authors： Filipe JA,Otten W,Gibson GJ,Gilligan CA

更新日期：2004-03-01 00:00:00

abstract：:A stochastic SIRS epidemic model with nonlinear incidence rate and varying population size is formulated to investigate the effect of stochastic environmental variability on inter-pandemic transmission dynamics of influenza A. Sufficient conditions for extinction and persistence of the disease are established. In the ...

journal_title：Bulletin of mathematical biology

authors： Li D,Cui J,Liu M,Liu S

更新日期：2015-09-01 00:00:00

abstract：:Many aquatic organisms detect the presence of moving objects in their environment, such as predators, by sensing the hydrodynamic disturbances the movements produce. The resultant water flow is readily detectable by stationary organisms, but free-swimming organisms are carried with the surrounding water and may not de...

journal_title：Bulletin of mathematical biology

authors： Takagi D,Hartline DK

更新日期：2018-01-01 00:00:00

abstract：:Synaptic spines grow as a consequence of the formation of F-actin filaments at the spine head. The dynamics of F-actin in the spine head upon excitation of N-methy-D-aspartate (NMDA) receptors has recently been investigated experimentally, but there is no quantitative account of how these dynamic changes occur upon ac...

journal_title：Bulletin of mathematical biology

authors： Bennett MR,Farnell L,Gibson WG

更新日期：2011-09-01 00:00:00

abstract：:The well-known formula for the final size of an epidemic was published by Kermack and McKendrick in 1927. Their analysis was based on a simple susceptible-infected-recovered (SIR) model that assumes exponentially distributed infectious periods. More recent analyses have established that the standard final size formula...

journal_title：Bulletin of mathematical biology

authors： Ma J,Earn DJ

更新日期：2006-04-01 00:00:00

abstract：:We develop a model for describing the dynamics of imatinib-treated chronic myelogenous leukemia. Our model is based on replacing the recent agent-based model of Roeder et al. (Nat. Med. 12(10):1181-1184, 2006) by a system of deterministic difference equations. These difference equations describe the time-evolution of ...

journal_title：Bulletin of mathematical biology

authors： Kim PS,Lee PP,Levy D

更新日期：2008-04-01 00:00:00

abstract：:Posttranslational modification of proteins is key in transmission of signals in cells. Many signaling pathways contain several layers of modification cycles that mediate and change the signal through the pathway. Here, we study a simple signaling cascade consisting of n layers of modification cycles such that the modi...

journal_title：Bulletin of mathematical biology

authors： Feliu E,Knudsen M,Andersen LN,Wiuf C

更新日期：2012-01-01 00:00:00

abstract：:Haematopoiesis is comprised of multiple stages, originating from pluripotent stem cells through intermediate progenitors to mature differentiated cells. Consequently, during the development of blood cells numerous sites are potentially exposed to the intense perturbations induced by anticancer chemotherapy. However, l...

journal_title：Bulletin of mathematical biology

authors： Shochat E,Stemmer SM,Segel L

更新日期：2002-09-01 00:00:00

abstract：:We focus on discrete-time infectious disease models in populations that are governed by constant, geometric, Beverton-Holt or Ricker demographic equations, and give a method for computing the basic reproduction number, [Formula: see text]. When [Formula: see text] and the demographic population dynamics are asymptotic...

journal_title：Bulletin of mathematical biology

authors： van den Driessche P,Yakubu AA

更新日期：2019-11-01 00:00:00

abstract：:Recent experimental evidence suggests that vasculogenesis may play an important role in tumour vascularisation. While angiogenesis involves the proliferation and migration of endothelial cells (ECs) in pre-existing vessels, vasculogenesis involves the mobilisation of bone-marrow-derived endothelial progenitor cells (E...

journal_title：Bulletin of mathematical biology

authors： Stamper IJ,Byrne HM,Owen MR,Maini PK

更新日期：2007-11-01 00:00:00

abstract：:Spatial oscillations of proteins in bacteria have recently attracted much attention. The cellular mechanism underlying these oscillations can be studied at molecular as well as at more macroscopic levels. We construct a minimal mathematical model with two proteins that is able to produce self-sustained regular pole-to...

journal_title：Bulletin of mathematical biology

authors： Rashkov P,Schmitt BA,Søgaard-Andersen L,Lenz P,Dahlke S

更新日期：2012-09-01 00:00:00

abstract：:Analytical methods for predicting and exploring the dynamics of stochastic, spatially interacting populations have proven to have useful application in epidemiology and ecology. An important development has been the increasing interest in spatially explicit models, which require more advanced analytical techniques tha...

journal_title：Bulletin of mathematical biology

authors： Filipe JA,Gibson GJ

更新日期：2001-07-01 00:00:00

abstract：:Mathematical models are useful for providing a framework for integrating data and gaining insights into the static and dynamic behavior of complex biological systems such as networks of interacting genes. We review the dynamic behaviors expected from model gene networks incorporating common biochemical motifs, and we ...

journal_title：Bulletin of mathematical biology

authors： Smolen P,Baxter DA,Byrne JH

更新日期：2000-03-01 00:00:00

abstract：:The present paper studies a predator-prey fishery model which incorporates the independent harvesting strategies and nonlinear impact of an anthropogenic toxicant. Both fish populations are harvested with different harvesting efforts, and the cases for the presence and non-presence of harvesting effort are discussed. ...

journal_title：Bulletin of mathematical biology

authors： Ang TK,Safuan HM,Sidhu HS,Jovanoski Z,Towers IN

更新日期：2019-07-01 00:00:00

abstract：:The tumour suppressor gene, p53, plays an important role in tumour development. Under low levels of oxygen (hypoxia), cells expressing wild-type p53 undergo programmed cell death (apoptosis), whereas cells expressing mutations in the p53 gene may survive and express angiogenic growth factors that stimulate tumour vasc...

journal_title：Bulletin of mathematical biology

authors： Gammack D,Byrne HM,Lewis CE

更新日期：2001-01-01 00:00:00