A semi-empirical model for flow or blood and other particulate suspensions through narrow tubes.

abstract：:The apoptotic caspase-3/8 feedback loop describes the core of the extrinsic pro-apoptotic signaling pathway, an essential part of apoptosis. Latter is a prototype of the programmed cell death, which enables organisms to remove damaged or infected cells. The reaction network of the caspase-3/8 feedback loop in a single...

journal_title：Bulletin of mathematical biology

authors： Daub M

更新日期：2013-11-01 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：: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：:Two algorithms for the efficient identification of segment neighborhoods are presented. A segment neighborhood is a set of contiguous residues that share common features. Two procedures are developed to efficiently find estimates for the parameters of the model that describe these features and for the residues that de...

journal_title：Bulletin of mathematical biology

authors： Auger IE,Lawrence CE

更新日期：1989-01-01 00:00:00

abstract：:Most of present mathematical models for biological activity consider just the molecular structure. In the present article we pretend extending the use of Markov chain models to define novel molecular descriptors, which consider in addition other parameters like target site or biological effect. Specifically, this math...

journal_title：Bulletin of mathematical biology

authors： Cruz-Monteagudo M,González-Díaz H,Uriarte E

更新日期：2006-10-01 00:00:00

abstract：:Classical evolutionary game theory (EGT) focuses on competition among phenotypes while assuming asexual transmission of these phenotypes to the next generation. However, phenotypic selection and sexual recombination are not necessarily mutually reinforcing in populations with sexual reproduction. In particular, it has...

journal_title：Bulletin of mathematical biology

authors： Fishman MA

更新日期：2020-02-06 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：:Recent advances in virology, gene therapy, and molecular and cell biology have provided insight into the mechanisms through which viruses can boost the anti-tumor immune response, or can infect and directly kill tumor cells. A recent experimental report (Bridle et al. in Molec. Ther. 18(8):1430-1439, 2010) showed that...

journal_title：Bulletin of mathematical biology

authors： Eftimie R,Dushoff J,Bridle BW,Bramson JL,Earn DJ

更新日期：2011-12-01 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：:A dynamic model for cell differentiation, where cells with internal chemical reaction dynamics interact with each other and replicate was studied. It led to spontaneous differentiation of cells and determination, as discussed in the isologous diversification. The following features of the differentiation were obtained...

journal_title：Bulletin of mathematical biology

authors： Furusawa C,Kaneko K

更新日期：1998-07-01 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：:In a companion paper (Lof et al., in Bull. Math. Biol., 2008), we describe a spatio-temporal model for insect behavior. This model includes chemical information for finding resources and conspecifics. As a model species, we used Drosophila melanogaster, because its behavior is documented comparatively well. We divide ...

journal_title：Bulletin of mathematical biology

authors： de Gee M,Lof ME,Hemerik L

更新日期：2008-10-01 00:00:00

abstract：:This work aims to examine the global behavior of a Gause type predator-prey model considering two aspects: (i) the functional response is Holling type III and, (ii) the prey growth is affected by the Allee effect. We prove the origin of the system is an attractor equilibrium point for all parameter values. It has also...

journal_title：Bulletin of mathematical biology

authors： González-Olivares E,Rojas-Palma A

更新日期：2011-06-01 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：: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：: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：:More and more evidence shows that mating preference is a mechanism that may lead to a reproductive isolation event. In this paper, a haploid population living on two patches linked by migration is considered. Individuals are ecologically and demographically neutral on the space and differ only on a trait, a or A, affe...

journal_title：Bulletin of mathematical biology

authors： Leman H

更新日期：2018-09-01 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：: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：: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：: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：: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：:Cancer is a complex phenomenon, and the sheer variation in behaviour across different types renders it difficult to ascertain underlying biological mechanisms. Experimental approaches frequently yield conflicting results for myriad reasons, and mathematical modelling of cancer is a vital tool to explore what we cannot...

journal_title：Bulletin of mathematical biology

authors： Grimes DR,Fletcher AG

更新日期：2020-01-22 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：:This paper is devoted to the investigation of the effects of periodic drug treatment on a standard within-host virus model. We first introduce the basic reproduction ratio for the model, and then show that the infection free equilibrium is globally asymptotically stable, and the disease eventually disappears if R0<1, ...

journal_title：Bulletin of mathematical biology

authors： Wang Z,Zhao XQ

更新日期：2013-03-01 00:00:00

abstract：:We present an improved mathematical model of population dynamics of mosquito-borne disease transmission. Our model considers the effect of mosquito repellent use and the mosquito's behavior or attraction to the infected human, which cause mosquitoes' biased distribution around the human population. Our analysis of the...

journal_title：Bulletin of mathematical biology

authors： Aldila D,Seno H

更新日期：2019-12-01 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：: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：:The surface protein B7-H1, also called PD-L1 and CD274, is found on carcinomas of the lung, ovary, colon, and melanomas but not on most normal tissues. B7-H1 has been experimentally determined to be an antiapoptotic receptor on cancer cells, where B7-H1-positive cancer cells have been shown to be immune resistant, and...

journal_title：Bulletin of mathematical biology

authors： Galante A,Tamada K,Levy D

更新日期：2012-01-01 00:00:00

abstract：:The scaling and shift of the gene expression boundary in a developing embryo are two key problems with regard to morphogen gradient formation in developmental biology. In this study, a bigradient model was applied to a nonlinear reaction diffusion system (NRDS) to investigate the location of morphogen gene expression ...

journal_title：Bulletin of mathematical biology

authors： Li WS,Shao YZ

更新日期：2014-06-01 00:00:00