Variability in the timing of G(1)/S transition.

abstract：:This paper presents a novel epidemiological transmission model of a population affected by two different susceptible-infected-susceptible infectious diseases. For each disease, individuals fall into one of the two susceptibility conditions in which one of the diseases has the highest occurrence level. This model is un...

journal_title：Mathematical biosciences

authors： Gutiérrez-Jara JP,Córdova-Lepe FD,Muñoz-Quezada MT

更新日期：2019-03-01 00:00:00

abstract：:Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's pe...

journal_title：Mathematical biosciences

authors： Jiang Y,Zhang Q,Wang H

更新日期：2016-07-01 00:00:00

abstract：:The interrelationship between pathogen infection and host mobility is of great importance for successful spread of disease in spatial pest population. As spread of infection depends on horizontal transmission of pathogen, there are numerous factors like susceptibility, latent period, host movement that influence overa...

journal_title：Mathematical biosciences

authors： Ghosh S,Bhattacharyya S

更新日期：2013-07-01 00:00:00

abstract：:An experiment design procedure is proposed for nonlinear parameter estimation studies that formally incorporates prior parameter uncertainty. The design criterion derives from information theory considerations and involves an asymptotic interpretation of the expected posterior information provided by an experiment. A ...

journal_title：Mathematical biosciences

authors： D'Argenio DZ

更新日期：1990-04-01 00:00:00

abstract：:The problem of moment closure is central to the study of multitype stochastic population dynamics since equations for moments up to a given order will generally involve higher-order moments. To obtain a Normal approximation, the standard approach is to replace third- and higher-order moments by zero, which may be seve...

journal_title：Mathematical biosciences

authors： Renshaw E

更新日期：2000-11-01 00:00:00

abstract：:The search for systematic methods to deal with the integrated behavior of complex biochemical systems has over the past two decades led to the proposal of several theories of biochemical systems. Among the most promising is biochemical systems theory (BST). Recent comparisons of this theory with several others that ha...

journal_title：Mathematical biosciences

authors： Sorribas A,Savageau MA

更新日期：1989-06-01 00:00:00

abstract：:Free access to a common pool of resource in a country may lead to over-exploitation and sacrifice future opportunities of harvesting. As such, the protection of a common fishery resource is worth investigating. In this paper we develop a two-period model and a multi-period model to analyze the optimal inter-temporal u...

journal_title：Mathematical biosciences

authors： Chen CC,Hsui CY

更新日期：2007-05-01 00:00:00

abstract：:Employing theoretical models, we show that the sterile insect release method (SIRM) can give rise to traveling waves of fertile insects. The velocity of these waves depends critically upon the density of sterile insects (and thus upon the rate at which sterile individuals are being released into the environment). When...

journal_title：Mathematical biosciences

authors： Lewis MA,van den Driessche P

更新日期：1993-08-01 00:00:00

abstract：:We apply to Michaelis-Menten kinetics an alternative approach to the study of Singularly Perturbed Differential Equations, that is based on the Renormalization Group (SPDERG). To this aim, we first rebuild the perturbation expansion for Michaelis-Menten kinetics, beyond the standard Quasi-Steady-State Approximation (s...

journal_title：Mathematical biosciences

authors： Coluzzi B,Bersani AM,Bersani E

更新日期：2018-05-01 00:00:00

abstract：:In biodiversity conservation it is often necessary to prioritize the species to conserve. Existing approaches to prioritization, e.g. the Fair Proportion Index and the Shapley Value, are based on phylogenetic trees and rank species according to their contribution to overall phylogenetic diversity. However, in many cas...

journal_title：Mathematical biosciences

authors： Wicke K,Fischer M

更新日期：2018-04-01 00:00:00

abstract：:We discuss an N-dimensional model for diffusion of age dependent populations. Let rho(x, t, a) be the population density at time t, age a and spatial position x, and let u(x, t) = [formula: see text] rho(x, t, a) da be the total population at t and x. The directed dispersal model to be discussed, with diffusion depend...

journal_title：Mathematical biosciences

authors： Hernández GE

更新日期：1998-04-01 00:00:00

abstract：:We present a model governing the operation of all "isolated" sensory receptors with their primary afferent neurons. The input to the system is the intensity of a sensory signal, be it chemical, optical etc., and the output is the rate of neural impulse transmission in the afferent neuron. The model is based on the pre...

journal_title：Mathematical biosciences

authors： Norwich KH,Wong W

更新日期：1995-01-01 00:00:00

abstract：:A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluat...

journal_title：Mathematical biosciences

authors： Albano G,Giorno V,Román-Román P,Torres-Ruiz F

更新日期：2013-09-01 00:00:00

abstract：:In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the present paper we investigate the extracellular potential distribution u in the same ventricular model. Given the transmemb...

journal_title：Mathematical biosciences

authors： Colli Franzone P,Guerri L,Pennacchio M,Taccardi B

更新日期：1998-07-01 00:00:00

abstract：:Understanding the evolution of dispersal is an important issue in evolutionary ecology. For continuous time models in which individuals disperse throughout their lifetime, it has been shown that a balanced dispersal strategy, which results in an ideal free distribution, is evolutionary stable in spatially varying but ...

journal_title：Mathematical biosciences

authors： Cantrell RS,Cosner C,Lou Y,Schreiber SJ

更新日期：2017-01-01 00:00:00

abstract：:The ICING model has been successfully used to guide clinical decisions on insulin administration in critical illness. However, insulin pharmacokinetics in the ICING model can be improved to better describe both intravenous (IV) bolus and infusion insulin administration. Patient data from 217 Dynamic Insulin Sensitivit...

journal_title：Mathematical biosciences

authors： Fisk L,Docherty PD,Pretty C,Chase JG

更新日期：2016-11-01 00:00:00

abstract：:We consider the optimal strategy for intra-specific brood-parasitism, especially with respect to the number of eggs laid by the parasitic individual in the nest of non-parasitic individual, in particular, a host that does not reject the parasite's eggs. With a fundamental mathematical model, assuming that the survival...

journal_title：Mathematical biosciences

authors： Maruyama J,Seno H

更新日期：1999-10-01 00:00:00

abstract：:"Protein folding is defined as a process by which a polypeptide chain performs a search in conformational space with the objective of achieving the so-called native conformation to global free-energy minimum under a given set of physiochemical conditions of the medium." Misfolding then, is the process by which this ob...

journal_title：Mathematical biosciences

authors： Armah EO

更新日期：2007-07-01 00:00:00

abstract：:The modified SIS epidemiological model considers the usual direct transmission (short cycle) and indirect transmission (long cycle) of typhoid fever. Thresholds are determined, and the equilibrium points are shown to be globally stable. Local stability of the equilibrium points is shown in the corresponding model with...

journal_title：Mathematical biosciences

authors： González-Guzmán J

更新日期：1989-09-01 00:00:00

abstract：:In a random walk (RW) in Z an individual starts at 0 and moves at discrete unitary steps to the right or left with respective probabilities p and 1-p. Assuming p > 1/2 and finite a, a > 1, the probability that state a will be reached before -a is Q(a, p) where Q(a, p) > p. Here we introduce the cooperative random walk...

journal_title：Mathematical biosciences

authors： Hernandez-Suarez CM

更新日期：2016-09-01 00:00:00

abstract：:In a standard procedure of food safety testing, the presence of the pathogenic bacterium Listeria monocytogenes can be masked by non-pathogenic Listeria. This phenomenon of Listeria overgrowth is not well understood. We present a mathematical model for the growth of a mixed population of L. innocua and L. monocytogene...

journal_title：Mathematical biosciences

authors： Fgaier H,Kalmokoff M,Ells T,Eberl HJ

更新日期：2014-01-01 00:00:00

abstract：:Calculations of the oxygen distribution in resting and contracting skeletal muscle are presented, based on a mathematical model and experimental data obtained on the hamster cremaster muscle [Klitzman et al., Microvasc. Res. 25:108-131 (1983)]. The model considers a slab of tissue penetrated by a regular square array ...

journal_title：Mathematical biosciences

authors： Popel AS,Charny CK,Dvinsky AS

更新日期：1986-09-01 00:00:00

abstract：:Bacterial biofilms are complex microbial depositions on immersed interfaces that form wherever the environmental conditions sustain microbial growth. Despite their name, biofilms can develop in highly irregular structures. Recently several mathematical concepts have been introduced to model these spatially structured ...

journal_title：Mathematical biosciences

authors： Muhammad N,Eberl HJ

更新日期：2011-09-01 00:00:00

abstract：:Cancer virotherapy represents a dynamical system that requires mathematical modeling for complete understanding of the outcomes. The combination of virotherapy with radiation (radiovirotherapy) has been recently shown to successfully eliminate tumors when virotherapy alone failed. However, it introduces a new level of...

journal_title：Mathematical biosciences

authors： Dingli D,Cascino MD,Josić K,Russell SJ,Bajzer Z

更新日期：2006-01-01 00:00:00

abstract：:It is well known that in many scalar models for the spread of a fitter phenotype or species into the territory of a less fit one, the asymptotic spreading speed can be characterized as the lowest speed of a suitable family of traveling waves of the model. Despite a general belief that multi-species (vector) models hav...

journal_title：Mathematical biosciences

authors： Li B,Weinberger HF,Lewis MA

更新日期：2005-07-01 00:00:00

abstract：:The goal of this study is to uncover some unobservable aspects of the individual-patient natural history of metastatic renal cell carcinoma (RCC) through mathematical modeling. We analyzed four clear cell RCC patients who at the time of primary tumor resection already had pulmonary metastases. Our description of the n...

journal_title：Mathematical biosciences

authors： Hanin L,Jandrig B,Pavlova L,Seidel K

更新日期：2019-03-01 00:00:00

abstract：:Heesterbeek and Metz [J. Math. Biol. 31 (1993) 529] derived an expression for the saturating contact rate of individual contacts in an epidemiological model. In this paper, the SEIR model with this saturating contact rate is studied. The basic reproduction number R0 is proved to be a sharp threshold which completely d...

journal_title：Mathematical biosciences

authors： Zhang J,Ma Z

更新日期：2003-09-01 00:00:00

abstract：:Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The model draws attention to the role of viability selections of different types to...

journal_title：Mathematical biosciences

authors： Sarkar B

更新日期：2016-01-01 00:00:00

abstract：:Reactivity (a.k.a initial growth) is necessary for diffusion driven instability (Turing instability). Using a notion of common Lyapunov function we show that this necessary condition is a special case of a more powerful (i.e. tighter) necessary condition. Specifically, we show that if the linearised reaction matrix an...

journal_title：Mathematical biosciences

authors： Elragig A,Townley S

更新日期：2012-09-01 00:00:00

abstract：:Based on previously published experimental observations and mathematical models for Hes1, p53 and NF-kappaB gene expression, we improve these models through a distributed delay formulation of the time lag between transcription factor binding and mRNA production. This description of natural variability for delays intro...

journal_title：Mathematical biosciences

authors： Rateitschak K,Wolkenhauer O

更新日期：2007-02-01 00:00:00