Fixation of strategies for an evolutionary game in finite populations.

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：:Distinct electrophysiological phenotypes are exhibited by biological cells that have differentiated into particular cell types. The usual approach when simulating the cardiac electrophysiology of tissue that includes different cell types is to model the different cell types as occupying spatially distinct yet coupled ...

journal_title：Bulletin of mathematical biology

authors： Bowler LA,Gavaghan DJ,Mirams GR,Whiteley JP

更新日期：2019-01-01 00:00:00

abstract：:Logical modeling of biological regulatory networks gives rise to a representation of the system's dynamics as a so-called state transition graph. Analysis of such a graph in its entirety allows for a comprehensive understanding of the functionalities and behavior of the modeled system. However, the size of the vertex ...

journal_title：Bulletin of mathematical biology

authors： Lorenz T,Siebert H,Bockmayr A

更新日期：2013-06-01 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：:In this paper a general deterministic discrete-time metapopulation model with a finite number of habitat patches is analysed within the framework of adaptive dynamics. We study a general model and prove analytically that (i) if the resident populations state is a fixed point, then the resident strategy with no migrati...

journal_title：Bulletin of mathematical biology

authors： Parvinen K

更新日期：1999-05-01 00:00:00

abstract：:In this paper, we present computational techniques to investigate the effect of surface geometry on biological pattern formation. In particular, we study two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces. We build on standard techniques for linear and nonlinear analysis of RD systems and e...

journal_title：Bulletin of mathematical biology

authors： Dhillon DS,Milinkovitch MC,Zwicker M

更新日期：2017-04-01 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：:Two possible dangers of an extensive varicella vaccination program are more varicella (chickenpox) cases in adults, when the complication rates are higher, and an increase in cases of zoster (shingles). Here an age-structured epidemiologic-demographic model with vaccination is developed for varicella and zoster. Param...

journal_title：Bulletin of mathematical biology

authors： Schuette MC,Hethcote HW

更新日期：1999-11-01 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：:We address the problem of using nonlinear models to design experiments to characterize the dynamics of cellular processes by using the approach of the Maximally Informative Next Experiment (MINE), which was introduced in W. Dong et al. (PLoS ONE 3(8):e3105, 2008) and independently in M.M. Donahue et al. (IET Syst. Bio...

journal_title：Bulletin of mathematical biology

authors： Dinh V,Rundell AE,Buzzard GT

更新日期：2014-03-01 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：:We present a new symmetric model of the idiotypic immune network. The model specifies clones of B-lymphocytes and incorporates: (1) influx and decay of cells; (2) symmetric stimulatory and inhibitory idiotypic interactions; (3) an explicit affinity parameter (matrix); (4) external (i.e. non-idiotypic) antigens. Suppre...

journal_title：Bulletin of mathematical biology

authors： De Boer RJ,Hogeweg P

更新日期：1989-01-01 00:00:00

abstract：:It is well established that in problems featuring slow passage through a Hopf bifurcation (dynamic Hopf bifurcation) the transition to large-amplitude oscillations may not occur until the slowly changing parameter considerably exceeds the value predicted from the static Hopf bifurcation analysis (temporal delay effect...

journal_title：Bulletin of mathematical biology

authors： Bilinsky LM,Baer SM

更新日期：2018-01-01 00:00:00

abstract：:Cell cycle times are vital parameters in cancer research, and short cell cycle times are often related to poor survival of cancer patients. A method for experimental estimation of cell cycle times, or doubling times of cultured cancer cell populations, based on addition of paclitaxel (an inhibitor of cell division) ha...

journal_title：Bulletin of mathematical biology

authors： Daukste L,Basse B,Baguley BC,Wall DJ

更新日期：2012-10-01 00:00:00

abstract：:A mathematical model (Kliemann, W. 1987. Bull. math. Biol. 49, 135-152.) that predicts the quantitative branching pattern of dendritic tree was evaluated using the apical and basal dendrites of rat hippocampal neurons. The Wald statistic for chi 2-test was developed for the branching pattern of dendritic trees and for...

journal_title：Bulletin of mathematical biology

authors： Carriquiry AL,Ireland WP,Kliemann W,Uemura E

更新日期：1991-01-01 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：:Evolutionary game dynamics of two strategies in finite population is studied by continuous probabilistic approach. Besides frequency dependent selection, mutation was also included in this study. The equilibrium probability density functions of abundance, expected time to extinction or fixation were derived and their ...

journal_title：Bulletin of mathematical biology

authors： Gao M

更新日期：2009-07-01 00:00:00

abstract：:The lactose operon in Escherichia coli was the first known gene regulatory network, and it is frequently used as a prototype for new modeling paradigms. Historically, many of these modeling frameworks use differential equations. More recently, Stigler and Veliz-Cuba proposed a Boolean model that captures the bistabili...

journal_title：Bulletin of mathematical biology

authors： Jenkins A,Macauley M

更新日期：2017-08-01 00:00:00

abstract：:DNA and protein sequence comparisons are performed by a number of computational algorithms. Most of these algorithms search for the alignment of two sequences that optimizes some alignment score. It is an important problem to assess the statistical significance of a given score. In this paper we use newly developed me...

journal_title：Bulletin of mathematical biology

authors： Goldstein L,Waterman MS

更新日期：1992-09-01 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：:Bovine Babesiosis (BB) is a tick borne parasitic disease with worldwide over 1.3 billion bovines at potential risk of being infected. The disease, also called tick fever, causes significant mortality from infection by the protozoa upon exposure to infected ticks. An important factor in the spread of the disease is the...

journal_title：Bulletin of mathematical biology

authors： Friedman A,Yakubu AA

更新日期：2014-01-01 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：:In this paper we introduce and study a model for electrical activity of cardiac membrane which incorporates only an inward and an outward current. This model is useful for three reasons: (1) Its simplicity, comparable to the FitzHugh-Nagumo model, makes it useful in numerical simulations, especially in two or three sp...

journal_title：Bulletin of mathematical biology

authors： Mitchell CC,Schaeffer DG

更新日期：2003-09-01 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：:In contrast to their name, biofilms are not always flat and homogeneous but instead often exhibit complex structural heterogeneity. It has been suggested that nonhomogeneous geometry is selected in order to increase biofilm growth rate. A previous study (Dockery and Klapper (2002) SIAM J. Appl. Math., 62, 853-869) of ...

journal_title：Bulletin of mathematical biology

authors： Klapper I

更新日期：2004-07-01 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：:This paper develops mathematical theory to determine the representativeness of clone libraries for various models, defined below in the text. In particular, the means and variances of fragment lengths and the mean of the length of a randomly selected fragment are determined, as well as the probability of the event tha...

journal_title：Bulletin of mathematical biology

authors： Fang Y,Wilson SR

更新日期：2001-09-01 00:00:00

abstract：:Radiation is commonly used in cancer treatment. Over 50% of all cancer patients will undergo radiotherapy (RT) as part of cancer care. Scientific advances in RT have primarily focused on the physical characteristics of treatment including beam quality and delivery. Only recently have inroads been made into utilizing t...

journal_title：Bulletin of mathematical biology

authors： Poleszczuk J,Walker R,Moros EG,Latifi K,Caudell JJ,Enderling H

更新日期：2018-05-01 00:00:00

abstract：:Small populations at risk of extinction due to threshold or competitive exclusion have a vested interest in rapid growth. Taking chance of survival into account for diploid populations, Fisher's theorem predicts a sex ratio favoring females under certain circumstances. Theoretical consideration of competitive exclusio...

journal_title：Bulletin of mathematical biology

authors： Johnson SD

更新日期：2010-01-01 00:00:00

abstract：:With increasing fishing pressures having brought several stocks to the brink of collapse, there is a need for developing efficient harvesting methods that account for factors beyond merely yield or profit. We consider the dynamics and management of a stage-structured fish stock. Our work is based on a consumer-resourc...

journal_title：Bulletin of mathematical biology

authors： Meng X,Lundström NL,Bodin M,Brännström Å

更新日期：2013-01-01 00:00:00