A two-current model for the dynamics of cardiac membrane.

abstract：:This paper is concerned with early development of transformed epithelial cells (TECs) in the presence of fibroblasts in the tumor micro-environment. These two types of cells interact by means of cytokines such as transforming growth factor (TGF-beta) and epidermal growth factor (EGF) secreted, respectively, by the TEC...

journal_title：Bulletin of mathematical biology

authors： Kim Y,Friedman A

更新日期：2010-07-01 00:00:00

abstract：:Based on the logistic growth law for a tumour derived from enzymatic dynamics, we address from a physical point of view the phenomena of synergism, additivity and antagonism in an avascular anti-tumour system regulated externally by dual coupling periodic interventions, and propose a theoretical model to simulate the ...

journal_title：Bulletin of mathematical biology

authors： Hu WY,Zhong WR,Wang FH,Li L,Shao YZ

更新日期：2012-02-01 00:00:00

abstract：:In this paper we develop and extend a previous model of cell deformations, initially proposed to describe the dynamical behaviour of round-shaped cells such as keratinocytes or leukocytes, in order to take into account cell pseudopodial dynamics with large amplitude membrane deformations such as those observed in fibr...

journal_title：Bulletin of mathematical biology

authors： Stéphanou A,Chaplain MA,Tracqui P

更新日期：2004-09-01 00:00:00

abstract：:We explore the dynamics of invasive weeds by partial differential equation (PDE) modelling and applying dynamical system and phase portrait techniques. We begin by applying the method of characteristics to a preexisting PDE model of the spreading of T. fluminensis, an invasive weed which has been responsible for nativ...

journal_title：Bulletin of mathematical biology

authors： Ramaj T

更新日期：2021-01-07 00:00:00

abstract：:Several studies suggest that one possible cause of impaired wound healing is failed or insufficient lymphangiogenesis, that is the formation of new lymphatic capillaries. Although many mathematical models have been developed to describe the formation of blood capillaries (angiogenesis), very few have been proposed for...

journal_title：Bulletin of mathematical biology

authors： Bianchi A,Painter KJ,Sherratt JA

更新日期：2016-09-01 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：:Integrins mediate cell adhesion and are essential receptors for the development and functioning of multicellular organisms. Integrin activation is known to require both ligand and talin binding and to correlate with cluster formation but the activation mechanism and precise roles of these processes are not yet resolve...

journal_title：Bulletin of mathematical biology

authors： Iber D,Campbell ID

更新日期：2006-05-01 00:00:00

abstract：:Fluorescence recovery after photobleaching (FRAP) is used to obtain quantitative information about molecular diffusion and binding kinetics at both cell and tissue levels of organization. FRAP models have been proposed to estimate the diffusion coefficients and binding kinetic parameters of species for a variety of bi...

journal_title：Bulletin of mathematical biology

authors： Lin L,Othmer HG

更新日期：2017-03-01 00:00:00

abstract：:Human T-cell lymphotropic virus type I (HTLV-I) infection in humans causes a chronic infection of CD4+ T cells, and is associated with various disease outcomes, among them with the development of adult T-cell leukemia (ATL). The T-cell dynamics after HTLV-I infection can be described in a mathematical model with coupl...

journal_title：Bulletin of mathematical biology

authors： Stilianakis NI,Seydel J

更新日期：1999-09-01 00:00:00

abstract：:We develop a theory for host seeking decisions in mosquitoes that explicitly considers the tradeoffs mosquitoes face in allocation to somatic and gametic function. Specifically, we consider conditions under which mosquitoes should seek out nectar and blood hosts upon encountering host odours. Results from development ...

journal_title：Bulletin of mathematical biology

authors： Roitberg BD,Friend WG

更新日期：1992-03-01 00:00:00

abstract：:This paper considers plant-pollinator systems in which plants are divided into two categories: The plants that secret a substantial volume of nectar in their flowers are called secretors, while those without secreting nectar are called nonsecretors (cheaters). The interaction between pollinators and secretors is mutua...

journal_title：Bulletin of mathematical biology

authors： Wang Y,Wu H

更新日期：2013-07-01 00:00:00

abstract：:In this paper we formulate a multi-patch multi-species model in which the per-capita emigration rate of one species depends on the density of some other species. We then focus on Turing instability to examine if and when this cross-emigration response has crucial effects. We find that the type of interaction matters g...

journal_title：Bulletin of mathematical biology

authors： Huang Y,Diekmann O

更新日期：2003-01-01 00:00:00

abstract：:We develop a staged-structured population model that describes the competitive dynamics of two functionally similar, congeneric invasive species: zebra mussels and quagga mussels. The model assumes that the population survival rates are functions of temperature and turbidity, and that the two species compete for food....

journal_title：Bulletin of mathematical biology

authors： Huang Q,Wang H,Ricciardi A,Lewis MA

更新日期：2016-03-01 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：:Recent discoveries in ecological stoichiometry have indicated that food quality in terms of the phosphorus/carbon (P/C) ratio affects consumers whether the imbalance involves insufficient or excess nutrients. This phenomenon is called the "stoichiometric P/C knife-edge." In this study, we develop and analyze a produce...

journal_title：Bulletin of mathematical biology

authors： Asik L,Kulik J,Long KR,Peace A

更新日期：2019-07-01 00:00:00

abstract：:The accuracy of the Fitch method for reconstructing ancestral states on ultrametric phylogenetic trees is studied. Two recurrence relations for computing the accuracy are given here. Using these relations, we analyze the convergence of the accuracy of the Fitch method for reconstructing the root state on a complete bi...

journal_title：Bulletin of mathematical biology

authors： Zhang L,Shen J,Yang J,Li G

更新日期：2010-10-01 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 normal process of dermal wound healing fails in some cases, due to fibro-proliferative disorders such as keloid and hypertrophic scars. These types of abnormal healing may be regarded as pathologically excessive responses to wounding in terms of fibroblastic cell profiles and their inflammatory growth-factor media...

journal_title：Bulletin of mathematical biology

authors： Olsen L,Sherratt JA,Maini PK

更新日期：1996-07-01 00:00:00

abstract：:We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to [Formula: see text] and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove convergence of trajectories, as well as convergence of the equilibrium solutions....

journal_title：Bulletin of mathematical biology

authors： Dalmau J

更新日期：2018-07-01 00:00:00

abstract：:While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate a mathematical model to include essential components such as a hyperinfectious, short-lived bacterial state, a separate class for mild human infections, and waning disease immunity. A new result ...

journal_title：Bulletin of mathematical biology

authors： Miller Neilan RL,Schaefer E,Gaff H,Fister KR,Lenhart S

更新日期：2010-11-01 00:00:00

abstract：:A rigorous Bayesian analysis is presented that unifies protein sequence-structure alignment and recognition. Given a sequence, explicit formulae are derived to select (1) its globally most probable core structure from a structure library; (2) its globally most probable alignment to a given core structure; (3) its most...

journal_title：Bulletin of mathematical biology

authors： Lathrop RH,Rogers RG Jr,Smith TF,White JV

更新日期：1998-11-01 00:00:00

abstract：:Marine birds and mammals move between various habitats during the day as they engage in behaviors related to resting, sleeping, preening, feeding, and breeding. The per capita rates of movement between these habitats, and hence the habitat occupancy dynamics, often are functions of environmental variables such as tide...

journal_title：Bulletin of mathematical biology

authors： Henson SM,Hayward JL,Damania SP

更新日期：2006-02-01 00:00:00

abstract：:We study crossflow filtration mechanisms in suspension-feeding fishes using computational fluid dynamics to model fluid flow and food particle movement in the vicinity of the gill rakers. During industrial and biological crossflow filtration, particles are retained when they remain suspended in the mainstream flow tra...

journal_title：Bulletin of mathematical biology

authors： Cheer A,Cheung S,Hung TC,Piedrahita RH,Sanderson SL

更新日期：2012-04-01 00:00:00

abstract：:A mathematical control model for the transmission dynamics of tuberculosis (TB) in South Korea is developed on the basis of the reported active-TB and relapse-TB incidence data. In this work, optimal control theory is used to propose optimal TB prevention and control strategy and rearrange the government TB budget for...

journal_title：Bulletin of mathematical biology

authors： Choi S,Jung E

更新日期：2014-07-01 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：:A coupled model is presented for simulating physical and biological dynamics in fresh water lakes. The physical model rests upon the assumption that the turbulent kinetic energy in a water column of the lake is fully contained in a mixed layer of variable depth. Below this layer the mechanical energy content is assume...

journal_title：Bulletin of mathematical biology

authors： Franke U,Hutter K,Jöhnk K

更新日期：1999-03-01 00:00:00

abstract：:Direct reciprocity is a chief mechanism of mutual cooperation in social dilemma. Agents cooperate if future interactions with the same opponents are highly likely. Direct reciprocity has been explored mostly by evolutionary game theory based on natural selection. Our daily experience tells, however, that real social a...

journal_title：Bulletin of mathematical biology

authors： Masuda N,Ohtsuki H

更新日期：2009-11-01 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：:When the isothermal semi-logarithmic survival curves of heat inactivated microbial cells or spores are known to be linear it is possible to calculate their survival parameters from curves obtained under nonisothermal conditions, provided that the temperature history ('profile') satisfies certain simple mathematical re...

journal_title：Bulletin of mathematical biology

authors： Peleg M,Normand MD,Campanella OH

更新日期：2003-03-01 00:00:00

abstract：:A significant conceptual difficulty in the use of switching systems to model regulatory networks is the presence of so-called "black walls," co-dimension 1 regions of phase space with a vector field pointing inward on both sides of the hyperplane. Black walls result from the existence of direct negative self-regulatio...

journal_title：Bulletin of mathematical biology

authors： Fan G,Cummins B,Gedeon T

更新日期：2016-06-01 00:00:00