Multistationarity and Bistability for Fewnomial Chemical Reaction Networks.

abstract：:It has been postulated that fibroblast growth factor (FGF) treatment of cultured limb bud mesenchyme cells reinforces the lateral inhibitory effect, but the cells also show accelerated pattern appearance. In the present study, we analyze how a small change in a specific parameter affects the speed of pattern appearanc...

journal_title：Bulletin of mathematical biology

authors： Miura T,Maini PK

更新日期：2004-07-01 00:00:00

abstract：:Cholera is an acute gastro-intestinal infection that affects millions of people throughout the world each year, primarily but not exclusively in developing countries. Because of its public health ramifications, considerable mathematical attention has been paid to the disease. Here we consider one neglected aspect of c...

journal_title：Bulletin of mathematical biology

authors： Kobe J,Pritchard N,Short Z,Erovenko IV,Rychtář J,Rowell JT

更新日期：2018-10-01 00:00:00

abstract：:We consider organisms which use a renewal strategy such as run-tumble when moving in space, for example to perform chemotaxis in chemical gradients. We derive a diffusion approximation for the motion, applying a central limit theorem due to Anscombe for renewal-reward processes; this theorem has not previously been ap...

journal_title：Bulletin of mathematical biology

authors： Thygesen UH

更新日期：2016-03-01 00:00:00

abstract：:We present a multi-scale computer simulator of cancer progression at the tumoral level, from avascular stage growth, through the transition from avascular to vascular growth (neo-vascularization), and into the later stages of growth and invasion of normal tissue. We use continuum scale reaction-diffusion equations for...

journal_title：Bulletin of mathematical biology

authors： Zheng X,Wise SM,Cristini V

更新日期：2005-03-01 00:00:00

abstract：:Chemical reactions are discrete, stochastic events. As such, the species' molecular numbers can be described by an associated master equation. However, handling such an equation may become difficult due to the large size of reaction networks. A commonly used approach to forecast the behaviour of reaction networks is t...

journal_title：Bulletin of mathematical biology

authors： López-Caamal F,Marquez-Lago TT

更新日期：2014-09-01 00:00:00

abstract：:Radiation target theory has been extended to complex biochemical systems. Mathematical analyses are presented for multiple forms of biological active proteins, for the presence of large inhibitors or activators, for compounds which regulate rate or affinity and for multiple-step reactions. Several predictions of these...

journal_title：Bulletin of mathematical biology

authors： Kempner ES

更新日期：1995-11-01 00:00:00

abstract：:The virulent effects of a pathogen on host fecundity and mortality (both intrinsic and extrinsic mortality due to predation) often increase with the age of infection. Age of infection often is also correlated with parasite fitness, in terms of the number of both infective propagules produced and the between-host trans...

journal_title：Bulletin of mathematical biology

authors： Rapti Z,Cáceres CE

更新日期：2016-02-01 00:00:00

abstract：:In order to understand the role of space in ecological communities where each species produces a certain type of resource and has varying abilities to exploit the resources produced by its own species and by the other species, we carry out a comparative study of an interacting particle system and its mean-field approx...

journal_title：Bulletin of mathematical biology

authors： Kang Y,Lanchier N

更新日期：2012-01-01 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 mechanical behavior of the actin cytoskeleton has previously been investigated using both experimental and computational techniques. However, these investigations have not elucidated the role the cytoskeleton plays in the compression resistance of cells. The present study combines experimental compression techniqu...

journal_title：Bulletin of mathematical biology

authors： Weafer PP,Ronan W,Jarvis SP,McGarry JP

更新日期：2013-08-01 00:00:00

abstract：:In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions...

journal_title：Bulletin of mathematical biology

authors： Le Sech C,Capderou A

更新日期：1996-11-01 00:00:00

abstract：:We construct a population dynamics model of the competition among immune system cells and generic tumor cells. Then, we apply the theory of optimal control to find the optimal schedule of injection of autologous dendritic cells used as immunotherapeutic agent. The optimization method works for a general ODE system and...

journal_title：Bulletin of mathematical biology

authors： Castiglione F,Piccoli B

更新日期：2006-02-01 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：:A stochastic analog to a deterministic model describing subpopulation emergence in heterogeneous tumors is developed. The resulting system is described by the Fokker-Planck or forward Kolmogorov equation. A finite element approach for the numerical solution to this equation is described. Four biological and clinical s...

journal_title：Bulletin of mathematical biology

authors： Michelson S,Ito K,Tran HT,Leith JT

更新日期：1989-01-01 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：:We use a mathematical model to determine the factors affecting the delayed or rare coreceptor switch in HIV-1 subtype C infected individuals. The model takes into account the two main target cells for the CXCR4-tropic and CCR5-tropic virus and includes the the lytic and non-lytic immune responses. Computer-based simul...

journal_title：Bulletin of mathematical biology

authors： Mugwagwa T,Witten G

更新日期：2007-01-01 00:00:00

abstract：:Two types of behavior have been previously reported in models of immune networks. The typical behavior of simple models, which involve B cells only, is stationary behavior involving several steady states. Finite amplitude perturbations may cause the model to switch between different equilibria. The typical behavior of...

journal_title：Bulletin of mathematical biology

authors： De Boer RJ,Perelson AS,Kevrekidis IG

更新日期：1993-01-01 00:00:00

abstract：:Nosocomial outbreaks of bacteria are well documented. Based on these incidents, and the heavy usage of antibiotics in hospitals, it has been assumed that antibiotic resistance evolves in hospital environments. To test this assumption, we studied resistance phenotypes of bacteria collected from patient isolates at a co...

journal_title：Bulletin of mathematical biology

authors： Seigal A,Mira P,Sturmfels B,Barlow M

更新日期：2017-01-01 00:00:00

abstract：:We consider a kinetic law of mass action model for Fibroblast Growth Factor (FGF) signaling, focusing on the induction of the RAS-MAP kinase pathway via GRB2 binding. Our biologically simple model suffers a combinatorial explosion in the number of differential equations required to simulate the system. In addition to ...

journal_title：Bulletin of mathematical biology

authors： Gaffney EA,Heath JK,Kwiatkowska MZ

更新日期：2008-11-01 00:00:00

abstract：:Farmers frequently decide where to locate the colonies of their domesticated eusocial bees, especially given the following mutually exclusive scenarios: (i) there are limited nectar and pollen sources within the vicinity of the apiary that cause competition among foragers; and (ii) there are fewer pollinators compared...

journal_title：Bulletin of mathematical biology

authors： Gavina MK,Rabajante JF,Cervancia CR

更新日期：2014-05-01 00:00:00

abstract：:We investigate how the structure of interactions between coupled oscillators influences the formation of asynchronous patterns in a multilayer network by formulating a simple, general multilayer oscillator model. We demonstrate the analysis of this model in three-oscillator systems, illustrating the role of interactio...

journal_title：Bulletin of mathematical biology

authors： Hayes SM,Anderson KE

更新日期：2019-12-20 00:00:00

abstract：:The coordinated beating of motile cilia is responsible for ovum transport in the oviduct, transport of mucus in the respiratory tract, and is the basis of motility in many single-celled organisms. The beating of a single motile cilium is achieved by the ATP-driven activation cycles of thousands of dynein molecular mot...

journal_title：Bulletin of mathematical biology

authors： Yang X,Dillon RH,Fauci LJ

更新日期：2008-05-01 00:00:00

abstract：:The insertion-deletion model developed by Thorne, Kishino and Felsenstein (1991, J. Mol. Evol., 33, 114-124; the TKF91 model) provides a statistical framework of two sequences. The statistical alignment of a set of sequences related by a star tree is a generalization of this model. The known algorithm computes the pro...

journal_title：Bulletin of mathematical biology

authors： Miklós I

更新日期：2002-07-01 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：: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：:Pseudomonas aeruginosa is a Gram-negative bacterium that is responsible for a wide range of infections in humans. Colonies employ quorum sensing (QS) to coordinate gene expression, including for virulence factors, swarming motility and complex social traits. The QS signalling system of P. aeruginosa is known to involv...

journal_title：Bulletin of mathematical biology

authors： Alfiniyah C,Bees MA,Wood AJ

更新日期：2017-06-01 00:00:00

abstract：:In an earlier work a model of the autocrine and paracrine pathways of tumor growth control was developed (Michelson and Leith. 1991. Autocrine and paracrine growth factors in tumor growth. Bull. math. Biol. 53, 639-656). The target population, a generic tumor, was modeled as a single, homogeneous population using the ...

journal_title：Bulletin of mathematical biology

authors： Michelson S,Leith JT

更新日期：1993-09-01 00:00:00

abstract：:We extend a spatially non-local cross-diffusion model of aggregation between multiple species with directed motion toward resource gradients to include many species and more general kinds of dispersal. We first consider diffusive instabilities, determining that for directed motion along fecundity gradients, the model ...

journal_title：Bulletin of mathematical biology

authors： Taylor NP,Kim H,Krause AL,Van Gorder RA

更新日期：2020-08-11 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：:A model, based on the principles of continuum mechanics, is presented for the analysis of cell-velocity fields within wool follicles. The model requires specification of three follicle characteristics in the form of spatially varying fields: viscosity, cell density and cell production rate. The viscosity is introduced...

journal_title：Bulletin of mathematical biology

authors： Louie K,Hall AJ,Gandar PW

更新日期：1998-01-01 00:00:00