An example of model structure differences using sensitivity analyses in physiologically based pharmacokinetic models of trichloroethylene in humans.

abstract：:We incorporate a vector-bias term into a malaria-transmission model to account for the greater attractiveness of infectious humans to mosquitoes in terms of differing probabilities that a mosquito arriving at a human at random picks that human depending on whether he is infectious or susceptible. We prove that transcr...

journal_title：Bulletin of mathematical biology

authors： Chamchod F,Britton NF

更新日期：2011-03-01 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：:Molecular motors such as kinesin and dynein are responsible for transporting material along microtubule networks in cells. In many contexts, motor dynamics can be modelled by a system of reaction-advection-diffusion partial differential equations (PDEs). Recently, quasi-steady-state (QSS) methods have been applied to ...

journal_title：Bulletin of mathematical biology

authors： Zmurchok C,Small T,Ward MJ,Edelstein-Keshet L

更新日期：2017-09-01 00:00:00

abstract：:Cardiac and neural systems share common features of intrinsic oscillation in some cells as well as the ability to propagate excitation. One theoretical approach to study such systems is to develop realistic models for the tissue. This involves first developing detailed ionic "Hodgkin-Huxley"-type models of individual ...

journal_title：Bulletin of mathematical biology

authors： Glass L,Shrier A

更新日期：2015-05-01 00:00:00

abstract：:Although imatinib is an effective treatment for chronic myelogenous leukemia (CML), and nearly all patients treated with imatinib attain some form of remission, imatinib does not completely eliminate leukemia. Moreover, if the imatinib treatment is stopped, most patients eventually relapse (Cortes et al. in Clin. Canc...

journal_title：Bulletin of mathematical biology

authors： Paquin D,Kim PS,Lee PP,Levy D

更新日期：2011-05-01 00:00:00

abstract：:Analysis schemes for the classification of synergism and antagonism for mixed agents operate on the discrepancies between observed and calculated results. As such they cannot be confirmed by experiments and therefore have to be tested in terms of mathematical and logical self-consistency. The concept of independent ac...

journal_title：Bulletin of mathematical biology

authors： Lam GK

更新日期：1994-09-01 00:00:00

abstract：:The culmination of the morphogenesis of the cellular slime mould Dictyostelium discoideum involves complex cell movements which transform a mound of cells into a globule of spores on a slender stalk. We show that cyclic AMP signalling and differential adhesion, combined with cell differentiation and slime production, ...

journal_title：Bulletin of mathematical biology

authors： Marée AF,Hogeweg P

更新日期：2002-03-01 00:00:00

abstract：:In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in partially saturated soil that contains growing potato tubers. The soil is modelled as a poroelastic material, which is deformed by the growth of the tubers, where the growth o...

journal_title：Bulletin of mathematical biology

authors： Duncan SJ,Daly KR,McKay Fletcher DM,Ruiz S,Sweeney P,Roose T

更新日期：2019-10-01 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：: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：:Autoinhibition of neurotransmitter release occurs via binding of transmitter to appropriate receptors. Experiments have provided evidence suggesting that the control of neurotransmitter release in fast systems is mediated by these inhibitory autoreceptors. Earlier, the authors formulated and analysed a mathematical mo...

journal_title：Bulletin of mathematical biology

authors： Yusim K,Parnas H,Segel LA

更新日期：2000-07-01 00:00:00

abstract：:In this paper, a simple semi-discrete (ticks' feeding is assumed to occur only during the summers of each year) model for tick population dynamics is presented. Conditions for existence, uniqueness, and stability of a positive equilibrium are found; the system is then studied numerically using parameter estimates cali...

journal_title：Bulletin of mathematical biology

authors： Ghosh M,Pugliese A

更新日期：2004-11-01 00:00:00

abstract：:Premised on relatively simple assumptions, mathematical models like those of Monod, Pirt or Droop inadequately explain the complex transient behavior of microbial populations. In particular, these models fail to explain many aspects of the dynamics of a Tetrahymena pyriformis-Escherichia coli community. In this study ...

journal_title：Bulletin of mathematical biology

authors： Jaworska JS,Hallam TG,Schultz TW

更新日期：1996-03-01 00:00:00

abstract：:Human rabies is one of the major public health problems in China with an average of 1977 cases per year. It is estimated that 95% of these human rabies cases are due to dog bites. In recent years, the number of wildlife-associated human rabies cases has increased, particularly in the southeast and northeast regions of...

journal_title：Bulletin of mathematical biology

authors： Huang J,Ruan S,Shu Y,Wu X

更新日期：2019-04-01 00:00:00

abstract：:The mutation process is introduced into the colored coalescent theory. The mutation process can be viewed as an independent Poisson process running on the colored genealogical random tree generated by the colored coalescent process, with the edge lengths of the random tree serving as the time scale for the mutation pr...

journal_title：Bulletin of mathematical biology

authors： Tian JP,Lin XS

更新日期：2009-11-01 00:00:00

abstract：:Theoretical and empirical arguments are used to support the growth kinetics of disseminated tumors. Employing viable hypotheses, it is established that Gompertzian growth of disseminated cancer cells can be derived from a number of theoretical considerations. Empirical methods are used to validate and confirm the theo...

journal_title：Bulletin of mathematical biology

authors： Afenya EK,Calderón CP

更新日期：2000-05-01 00:00:00

abstract：:Metaecoepidemic models generalize metapopulation systems, combining local population dynamics with inter-patch migration coupled with an epidemic proliferation. A resource-consumer model is introduced with an ecosystem composed by two patches, in which consumers can freely move. A disease affects resources of the seco...

journal_title：Bulletin of mathematical biology

authors： Moulin T,Perasso A,Venturino E

更新日期：2020-07-07 00:00:00

abstract：:Understanding the life-history complex of eusociality has remained an enduring problem in evolutionary ecology, partially because natural selection models have considered traits in relative isolation. I aim for a more inclusive model that uses ecological interactions to predict the evolutionary existence of sexual rep...

journal_title：Bulletin of mathematical biology

authors： Witting L

更新日期：2007-05-01 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：:A method for obtaining delay histograms for the time course of neurotransmitter release is presented. The delay histogram is derived from the measured psc (or the sum of several psc's) and the mpsc (obtained experimentally or otherwise) by means of a simple, quick, mathematical procedure. The procedure may be automate...

journal_title：Bulletin of mathematical biology

authors： Aumann Y,Parnas H

更新日期：1991-01-01 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：:Tandem repeats play many important roles in biological research. However, accurate characterization of their properties is limited by the inability to easily detect them. For this reason, much work has been devoted to developing detection algorithms. A widely used algorithm for detecting tandem repeats is the "tandem ...

journal_title：Bulletin of mathematical biology

authors： Martin DE

更新日期：2006-11-01 00:00:00

abstract：:In this work, we present a pedagogical tumour growth example, in which we apply calibration and validation techniques to an uncertain, Gompertzian model of tumour spheroid growth. The key contribution of this article is the discussion and application of these methods (that are not commonly employed in the field of can...

journal_title：Bulletin of mathematical biology

authors： Collis J,Connor AJ,Paczkowski M,Kannan P,Pitt-Francis J,Byrne HM,Hubbard ME

更新日期：2017-04-01 00:00:00

abstract：:National Bureau of Statistics of China reports that the incidence of schistosomiasis has been increasing in recent years. To study dynamic behaviors of schistosomiasis transmission, based on practical experience of staff in Anhui Institute of Schistosomiasis, a mathematical schistosomiasis model with reinfection of re...

journal_title：Bulletin of mathematical biology

authors： Qi L,Xue M,Cui JA,Wang Q,Wang T

更新日期：2018-09-01 00:00:00

abstract：:A kinetic model is proposed to delineate the factors that determine the coronary reactive hyperemic response (RHR) to transient ischemia. The model comprises of myocardial-interstitial (M) and vascular (V) compartments. Vasodilator metabolites (VM) are produced in the M compartment during the interval of coronary occl...

journal_title：Bulletin of mathematical biology

authors： Wong AY

更新日期：1995-01-01 00:00:00

abstract：:We develop an age-structured ODE model to investigate the role of intermittent preventive treatment (IPT) in averting malaria-induced mortality in children, and its related cost in promoting the spread of antimalarial drug resistance. IPT, a malaria control strategy in which a full curative dose of an antimalarial med...

journal_title：Bulletin of mathematical biology

authors： Manore CA,Teboh-Ewungkem MI,Prosper O,Peace A,Gurski K,Feng Z

更新日期：2019-01-01 00:00:00

abstract：:Since the first major outbreak reported on the island Yap in 2007, the Zika virus spread has alerted the scientific community worldwide. Zika is an arbovirus transmitted by Aedes mosquitoes; particularly in Central and South America, the main vector is the same mosquito that transmits dengue and chikungunya, Aedes aeg...

journal_title：Bulletin of mathematical biology

authors： Baca-Carrasco D,Velasco-Hernández JX

更新日期：2016-11-01 00:00:00

abstract：:When two strings of symbols are aligned it is important to know whether the observed number of matches is better than that expected between two independent sequences with the same frequency of symbols. When strings are of different lengths, nulls need to be inserted in order to align the sequences. One approach is to ...

journal_title：Bulletin of mathematical biology

authors： Rinsma I,Hendy M,Penny D

更新日期：1990-01-01 00:00:00

abstract：:The Hodgkin and Huxley equations have served as the benchmark model in electrophysiology since 1950s. But it suffers from four major drawbacks. Firstly, it is only phenomenological not mechanistic. Secondly, it fails to exhibit the all-or-nothing firing mechanism for action potential generation. Thirdly, it lacks a th...

journal_title：Bulletin of mathematical biology

authors： Deng B

更新日期：2017-06-01 00:00:00

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