Estimation of cell proliferation dynamics using CFSE data.

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：: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：:We focus on discrete-time infectious disease models in populations that are governed by constant, geometric, Beverton-Holt or Ricker demographic equations, and give a method for computing the basic reproduction number, [Formula: see text]. When [Formula: see text] and the demographic population dynamics are asymptotic...

journal_title：Bulletin of mathematical biology

authors： van den Driessche P,Yakubu AA

更新日期：2019-11-01 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：:The nonlinear response of the simplest irreversible Michaelis-Menten enzyme is considered. In the context of metabolic networks, i.e. in vivo, the enzyme is subject to sustained, frequently time-dependent, input fluxes that keep the system out of equilibrium. The connection between the fluxes and the response is inves...

journal_title：Bulletin of mathematical biology

authors： Torralba AS,Rodríguez Y

更新日期：2006-08-01 00:00:00

abstract：:When two strings of symbols are aligned it is important to know whether the observed number of matches is better than that expected between two independent sequences with the same frequency of symbols. When strings are of different lengths, nulls need to be inserted in order to align the sequences. One approach is to ...

journal_title：Bulletin of mathematical biology

authors： Rinsma I,Hendy M,Penny D

更新日期：1990-01-01 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：: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：:Aggregation of membrane molecules is a crucial phenomenon in developing organisms, a classic example being the aggregation of post-synaptic receptors during synaptogenesis. Our understanding of the molecular events involved is improving, but most models of the aggregation or concentration process do not address bindin...

journal_title：Bulletin of mathematical biology

authors： Stollberg J

更新日期：1995-09-01 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：:Since the first major outbreak reported on the island Yap in 2007, the Zika virus spread has alerted the scientific community worldwide. Zika is an arbovirus transmitted by Aedes mosquitoes; particularly in Central and South America, the main vector is the same mosquito that transmits dengue and chikungunya, Aedes aeg...

journal_title：Bulletin of mathematical biology

authors： Baca-Carrasco D,Velasco-Hernández JX

更新日期：2016-11-01 00:00:00

abstract：:The coexistence of a large number of phytoplankton species on a seemingly limited variety of resources is a classical problem in ecology, known as 'the paradox of the plankton'. Strong fluctuations in species abundance due to the external factors or competitive interactions leading to oscillations, chaos and short-ter...

journal_title：Bulletin of mathematical biology

authors： Roy S,Alam S,Chattopadhyay J

更新日期：2006-11-01 00:00:00

abstract：:The feedback dynamics from mosquito to human and back to mosquito involve considerable time delays due to the incubation periods of the parasites. In this paper, taking explicit account of the incubation periods of parasites within the human and the mosquito, we first propose a delayed Ross-Macdonald model. Then we ca...

journal_title：Bulletin of mathematical biology

authors： Ruan S,Xiao D,Beier JC

更新日期：2008-05-01 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：:The discovery of circular DNA, over 30 years ago, introduced an element of uneasiness in what had been, up to that point, the almost picture-perfect story of the elucidation of the molecular biology of heredity. If DNA indeed has the Watson-Crick right-handed helical secondary structure, then in circular DNA, thousand...

journal_title：Bulletin of mathematical biology

authors： Biegeleisen K

更新日期：2002-05-01 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：: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：: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：: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 study the emergence of collective spatio-temporal objects in biological systems by representing individually the elementary interactions between their microscopic components. We use the immune system as a prototype for such interactions. The results of this detailed explicit analysis are compared with the tradition...

journal_title：Bulletin of mathematical biology

authors： Louzoun Y,Solomon S,Atlan H,Cohen IR

更新日期：2003-05-01 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：: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：: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：:We develop an age-structured ODE model to investigate the role of intermittent preventive treatment (IPT) in averting malaria-induced mortality in children, and its related cost in promoting the spread of antimalarial drug resistance. IPT, a malaria control strategy in which a full curative dose of an antimalarial med...

journal_title：Bulletin of mathematical biology

authors： Manore CA,Teboh-Ewungkem MI,Prosper O,Peace A,Gurski K,Feng Z

更新日期：2019-01-01 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：:We develop a numerical method for estimating optimal parameters in a mathematical model of the within-host dynamics of malaria infection. The model consists of a quasilinear system of partial differential equations. Convergence theory for the computed parameters is provided. Following this analysis, we present several...

journal_title：Bulletin of mathematical biology

authors： Thibodeaux JJ,Schlittenhardt TP

更新日期：2011-11-01 00:00:00

abstract：:Many neurons in mammalian sensory systems exhibit On and Off responses when given appropriate excitatory and inhibitory stimuli. In some instances, such neurons can also exhibit a Mixed response where diminished On and Off responses are both present. In this manuscript, we present a simple single cell model for these ...

journal_title：Bulletin of mathematical biology

authors： Latulippe J,Pernarowski M

更新日期：2009-01-01 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：: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：:To obtain the correlation dimension and entropy from an experimental time series we derive estimators for these quantities together with expressions for their variances using a maximum likelihood approach. The validity of these expressions is supported by Monte Carlo simulations. We illustrate the use of the estimator...

journal_title：Bulletin of mathematical biology

authors： Olofsen E,Degoede J,Heijungs R

更新日期：1992-01-01 00:00:00