A mathematical model for the effects of HER2 over-expression on cell cycle progression in breast cancer.

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：:Whilst the human body expends energy constantly, the human diet consists of a mix of carbohydrates and fats delivered in a discontinuous manner. To deal with this sporadic supply of energy, there are transport, storage and utilisation mechanisms, for both carbohydrates and fats, around all tissues of the body. Insulin...

journal_title：Bulletin of mathematical biology

authors： Pearson T,Wattis JA,King JR,MacDonald IA,Mazzatti DJ

更新日期：2016-06-01 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

abstract：:Previous models of the renal concentrating mechanism employ ideal approximations of solution thermodynamics for membrane transport calculation. In three-dimensional models of the renal medulla, predicted urine concentrations reach levels where these idealized approximations begin to break down. In this paper we derive...

journal_title：Bulletin of mathematical biology

authors： Wang X,Wexler AS,Marsh DJ

更新日期：1994-05-01 00:00:00

abstract：:The tumor promoter, phorbol 12-myristate 13-acetate (PMA), affects the processing of fluid that enters a cell from the ambient medium. Previous work showed that marker accumulates to a higher level in PMA-treated than in untreated cells. Since PMA also affects the physical activity of the membrane and stimulates the n...

journal_title：Bulletin of mathematical biology

authors： Heckman CA,Runyeon CS,Wade JG,Seubert S

更新日期：2001-05-01 00:00:00

abstract：:Cell motility is an essential phenomenon in almost all living organisms. It is natural to think that behavioral or shape changes of a cell bear information about the underlying mechanisms that generate these changes. Reading cell motion, namely, understanding the underlying biophysical and mechanochemical processes, i...

journal_title：Bulletin of mathematical biology

authors： Coskun H,Coskun H

更新日期：2011-03-01 00:00:00

abstract：:Mechanical cell competition is important during tissue development, cancer invasion, and tissue ageing. Heterogeneity plays a key role in practical applications since cancer cells can have different cell stiffness and different proliferation rates than normal cells. To study this phenomenon, we propose a one-dimension...

journal_title：Bulletin of mathematical biology

authors： Murphy RJ,Buenzli PR,Baker RE,Simpson MJ

更新日期：2020-09-26 00:00:00

abstract：:An algorithm for computing the linear noise approximation (LNA) of the reaction-diffusion master equation (RDME) is developed and tested. The RDME is often used as a model for biochemical reaction networks. The LNA is derived for a general discretization of the spatial domain of the problem. If M is the number of chem...

journal_title：Bulletin of mathematical biology

authors： Lötstedt P

更新日期：2019-08-01 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：: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 propose a new geometric buildup algorithm for the solution of the distance geometry problem in protein modeling, which can prevent the accumulation of the rounding errors in the buildup calculations successfully and also tolerate small errors in given distances. In this algorithm, we use all instead of a subset of ...

journal_title：Bulletin of mathematical biology

authors： Sit A,Wu Z,Yuan Y

更新日期：2009-11-01 00:00:00

abstract：:This study is concerned with reconciling theoretical modelling of the fluid flow in the airway surface liquid with experimental visualisation of tracer transport in human airway epithelial cultures. The airways are covered by a dense mat of cilia of length approximately 6 microm beating in a watery periciliary liquid ...

journal_title：Bulletin of mathematical biology

authors： Smith DJ,Gaffney EA,Blake JR

更新日期：2007-04-01 00:00:00

abstract：:We derive point and interval estimates for an urban population of green tree frogs (Hyla cinerea) from capture-mark-recapture field data obtained during the years 2006-2009. We present an infinite-dimensional least-squares approach which compares a mathematical population model to the statistical population estimates ...

journal_title：Bulletin of mathematical biology

authors： Ackleh AS,Carter J,Deng K,Huang Q,Pal N,Yang X

更新日期：2012-03-01 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：:The apparent synchronisation of spatially discrete populations is a well documented phenomenon. However, it is not clear what the governing mechanisms are for this synchrony, and whether they are robust over a range of environmental conditions and patch specific population dynamic behaviours. In this paper, we explore...

journal_title：Bulletin of mathematical biology

authors： Hillary RM,Bees MA

更新日期：2004-11-01 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：: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：: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：:A two-dimensional model for red blood cell motion is adapted to consider the dynamics of breast cancer cells in a microfluidic channel. Adjusting parameters to make the membrane stiffer, as is the case with breast cancer cells compared with red blood cells, allows the model to produce reasonable estimates of breast ca...

journal_title：Bulletin of mathematical biology

authors： Barber J,Zhu L

更新日期：2019-04-01 00:00:00

abstract：:Knowledge about large-scale and long-term dynamics of (natural) populations is required to assess the efficiency of control strategies, the potential for long-term persistence, and the adaptability to global changes such as habitat fragmentation and global warming. For most natural populations, such as pest population...

journal_title：Bulletin of mathematical biology

authors： Soubeyrand S,Neuvonen S,Penttinen A

更新日期：2009-02-01 00:00:00

abstract：:Bacterial quorum sensing (QS) is a form of intercellular communication that relies on the production and detection of diffusive signaling molecules called autoinducers. Such a mechanism allows the bacteria to track their cell density in order to regulate group behavior, such as biofilm formation and bioluminescence. I...

journal_title：Bulletin of mathematical biology

authors： Fan G,Bressloff PC

更新日期：2019-05-01 00:00:00

abstract：:It is widely believed that the slowest dispersal strategy is selected in the evolutional if the environment is temporally invariant but spatially heterogeneous. Authors claim in this paper that this belief is true only if random dispersals with constant motility are considered. However, if a dispersal strategy with fi...

journal_title：Bulletin of mathematical biology

authors： Kim YJ,Kwon O,Li F

更新日期：2013-12-01 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：:This paper investigates the dynamics of biomass in a marine ecosystem. A stochastic process is defined in which organisms undergo jumps in body size as they catch and eat smaller organisms. Using a systematic expansion of the master equation, we derive a deterministic equation for the macroscopic dynamics, which we ca...

journal_title：Bulletin of mathematical biology

authors： Datta S,Delius GW,Law R

更新日期：2010-08-01 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：:This paper presents a biomechanical model for the small pits, called crypts, that line the colon. A continuum approach is adopted, with the crypt epithelium modelled as a growing beam attached to the underlying lamina by cell bonds, which generate tension within the layer. These cell attachments are assumed to be visc...

journal_title：Bulletin of mathematical biology

authors： Edwards CM,Chapman SJ

更新日期：2007-08-01 00:00:00

abstract：:The simulation of biological systems is often plagued by a high level of noise in the data, as well as by models containing a large number of correlated parameters. As a result, the parameters are poorly identified by the data, and the reliability of the model predictions may be questionable. Bayesian sampling methods...

journal_title：Bulletin of mathematical biology

authors： Haario H,Kalachev L,Laine M

更新日期：2009-10-01 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：: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：: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