B7-h1 and a mathematical model for cytotoxic T cell and tumor cell interaction.

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：: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：:The F-actin network and cytosol in the lamellipodia of crawling cells flow in a centripetal pattern and spout-like form, respectively. We have numerically studied this two-phase flow in the realistic geometry of a moving keratocyte. Cytosol has been treated as a low viscosity Newtonian fluid flowing through the high v...

journal_title：Bulletin of mathematical biology

authors： Nikmaneshi MR,Firoozabadi B,Saidi MS

更新日期：2015-09-01 00:00:00

abstract：:Using optimal control theory as the basic theoretical tool, we investigate the efficacy of different antibiotic treatment protocols in the most exacting of circumstances, described as follows. Viewing a continuous culture device as a proxy for a much more complex host organism, we first inoculate the device with a sin...

journal_title：Bulletin of mathematical biology

authors： Peña-Miller R,Lähnemann D,Schulenburg H,Ackermann M,Beardmore R

更新日期：2012-04-01 00:00:00

abstract：:Bursting electrical activity is ubiquitous in excitable cells such as neurons and many endocrine cells. The technique of fast/slow analysis, which takes advantage of time scale differences, is typically used to analyze the dynamics of bursting in mathematical models. Two classes of bursting oscillations that have been...

journal_title：Bulletin of mathematical biology

authors： Teka W,Tsaneva-Atanasova K,Bertram R,Tabak J

更新日期：2011-06-01 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：:At least four distinct lineages of CD4+ T cells play diverse roles in the immune system. Both in vivo and in vitro, naïve CD4+ T cells often differentiate into a variety of cellular phenotypes. Previously, we developed a mathematical framework to study heterogeneous differentiation of two lineages governed by a mutual...

journal_title：Bulletin of mathematical biology

authors： Hong T,Oguz C,Tyson JJ

更新日期：2015-06-01 00:00:00

abstract：:A protein fold can be viewed as a self-avoiding walk in certain lattice model, and its contact map is a graph that represents the patterns of contacts in the fold. Goldman, Istrail, and Papadimitriou showed that a contact map in the 2D square lattice can be decomposed into at most two stacks and one queue. In the term...

journal_title：Bulletin of mathematical biology

authors： Guo QH,Sun LH,Wang J

更新日期：2017-01-01 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：:Continuing the discussion of how children can modify and regularize linguistic inputs from adults, we present a new interpretation of existing algorithms to model and investigate the process of a learner learning from an inconsistent source. On the basis of this approach is a (possibly nonlinear) function (the update ...

journal_title：Bulletin of mathematical biology

authors： Ma T,Komarova NL

更新日期：2017-03-01 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：:Cell polarization is an important part of the response of eukaryotic cells to stimuli, and forms a primary step in cell motility, differentiation, and many cellular functions. Among the important biochemical players implicated in the onset of intracellular asymmetries that constitute the early phases of polarization a...

journal_title：Bulletin of mathematical biology

authors： Walther GR,Marée AF,Edelstein-Keshet L,Grieneisen VA

更新日期：2012-11-01 00:00:00

abstract：:Spatial interactions are key determinants in the dynamics of many epidemiological and ecological systems; therefore it is important to use spatio-temporal models to estimate essential parameters. However, spatially-explicit data sets are rarely available; moreover, fitting spatially-explicit models to such data can be...

journal_title：Bulletin of mathematical biology

authors： Filipe JA,Otten W,Gibson GJ,Gilligan CA

更新日期：2004-03-01 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：: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：:Because all the cell populations are capable of making switches between different genetic expression states in response to the environmental change, Thattai and van Oudenaarden (Genetics 167, 523-530, 2004) have raised a very interesting question: In a constantly fluctuating environment, which type of cell population ...

journal_title：Bulletin of mathematical biology

authors： Pang NN,Tzeng WJ

更新日期：2008-01-01 00:00:00

abstract：:In this paper, we study quorum sensing in Pseudomonas aeruginosa biofilms. Quorum sensing is a process where bacteria monitor their population density through the release of extra-cellular signalling molecules. The presence of these molecules affects gene modulation leading to changes in behaviour such as the release ...

journal_title：Bulletin of mathematical biology

authors： Vaughan BL Jr,Smith BG,Chopp DL

更新日期：2010-07-01 00:00:00

abstract：:To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundan...

journal_title：Bulletin of mathematical biology

authors： Grafton RQ,Kompas T,Lindenmayer D

更新日期：2005-09-01 00:00:00

abstract：:The paper reviews the work of Kermack and McKendrick on the development of simple mathematical models of the transmission dynamics of viral and bacterial infectious agents within population of hosts. The focus of attention is centred on the notion of a threshold density of susceptible hosts to trigger an epidemic and ...

journal_title：Bulletin of mathematical biology

authors： Anderson RM

更新日期：1991-01-01 00:00:00

abstract：:Doxorubicin treatment outcomes for non-Hodgkin's lymphomas (NHL) are mathematically modelled and computationally analyzed. The NHL model includes a tumor structure incorporating mature and immature vessels, vascular structural adaptation and NHL cell-cycle kinetics in addition to Doxorubicin pharmacokinetics (PK) and ...

journal_title：Bulletin of mathematical biology

authors： Ribba B,Marron K,Agur Z,Alarcón T,Maini PK

更新日期：2005-01-01 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：:In this paper we attack the problem of understanding the localization of the main structures involved in the motor circadian rhythm of crayfish by analysing its ontogeny. We present experimental results giving the properties of this rhythm in young and adult crayfish. Then we construct a mathematical model (based on a...

journal_title：Bulletin of mathematical biology

authors： Fuentes-Pardo B,Lara-Aparicio M,López de Medrano S

更新日期：2001-03-01 00:00:00

abstract：:The well-known formula for the final size of an epidemic was published by Kermack and McKendrick in 1927. Their analysis was based on a simple susceptible-infected-recovered (SIR) model that assumes exponentially distributed infectious periods. More recent analyses have established that the standard final size formula...

journal_title：Bulletin of mathematical biology

authors： Ma J,Earn DJ

更新日期：2006-04-01 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：:Trichloroethylene (TCE) is an industrial chemical and an environmental contaminant. TCE and its metabolites may be carcinogenic and affect human health. Physiologically based pharmacokinetic (PBPK) models that differ in compartmentalization are developed for TCE metabolism in humans, and the focus of this investigatio...

journal_title：Bulletin of mathematical biology

authors： Yokley KA,Evans MV

更新日期：2007-11-01 00:00:00

abstract：:Burst-like synthesis of protein is a significant source of cell-to-cell variability in protein levels. Negative feedback is a common example of a regulatory mechanism by which such stochasticity can be controlled. Here we consider a specific kind of negative feedback, which makes bursts smaller in the excess of protei...

journal_title：Bulletin of mathematical biology

authors： Bokes P,Lin YT,Singh A

更新日期：2018-07-01 00:00:00

abstract：:Moment closure methods are widely used to analyze mathematical models. They are specifically geared toward derivation of approximations of moments of stochastic models, and of similar quantities in other models. The methods possess several weaknesses: Conditions for validity of the approximations are not known, magnit...

journal_title：Bulletin of mathematical biology

authors： Nåsell I

更新日期：2017-09-01 00:00:00

abstract：:We introduce a mesoscopic scale chemotaxis model for traveling wave phenomena which is induced by food metric. The organisms of this simplified kinetic model have two discrete velocity modes, [Formula: see text] and a constant tumbling rate. The main feature of the model is that the speed of organisms is constant [For...

journal_title：Bulletin of mathematical biology

authors： Choi SH,Kim YJ

更新日期：2017-02-01 00:00:00

abstract：:We study the global stability of a class of models for in-vivo virus dynamics that take into account the Cytotoxic T Lymphocyte immune response and display antigenic variation. This class includes a number of models that have been extensively used to model HIV dynamics. We show that models in this class are globally a...

journal_title：Bulletin of mathematical biology

authors： Souza MO,Zubelli JP

更新日期：2011-03-01 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