Delay equation analysis of human respiratory stability.

abstract：:In this study we investigate the equations governing the transport of oxygen in pulmonary capillaries. We use a mathematical model consisting of a red blood cell completely surrounded by plasma within a cylindrical pulmonary capillary. This model takes account of convection and diffusion of oxygen through plasma, diff...

journal_title：Mathematical biosciences

authors： Whiteley JP,Gavaghan DJ,Hahn CE

更新日期：2001-02-01 00:00:00

abstract：:A variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. Most predictive models are shown to be based on variations of the classical Verhulst logistic growth equation. We review and compare several such models and analyse properties ...

journal_title：Mathematical biosciences

authors： Tsoularis A,Wallace J

更新日期：2002-07-01 00:00:00

abstract：:HIF (hypoxia inducible factor) is an oxygen-regulated transcription factor that mediates the intracellular response to hypoxia in human cells. There is increasing evidence that cell signaling pathways encode temporal information, and thus cell fate may be determined by the dynamics of protein levels. We have developed...

journal_title：Mathematical biosciences

authors： Leedale J,Herrmann A,Bagnall J,Fercher A,Papkovsky D,Sée V,Bearon RN

更新日期：2014-12-01 00:00:00

abstract：:A key feature of cell migration is how cell movement is affected by cell-cell interactions. Furthermore, many cell migratory processes such as neural crest stem cell migration [Thomas and Erickson, 2008; McLennan et al., 2012] occur on growing domains or in the presence of a chemoattractant. Therefore, it is important...

journal_title：Mathematical biosciences

authors： Ross RJ,Yates CA,Baker RE

更新日期：2015-06-01 00:00:00

abstract：:A class of models is considered in which the number of unknown parameters exceeds the number of independent equations that are derived from the input/observation configuration. It is shown that, under certain circumstances, if the number of unknown parameters is sufficiently decreased by setting some of the exit param...

journal_title：Mathematical biosciences

authors： Eisenfeld J

更新日期：1996-03-01 00:00:00

abstract：:Many important results in stochastic epidemic modelling are based on the Reed-Frost model or on other similar models that are characterised by unrealistic temporal dynamics. Nevertheless, they can be extended to many other more realistic models thanks to an argument first provided by Ludwig [Final size distributions f...

journal_title：Mathematical biosciences

authors： Pellis L,Ferguson NM,Fraser C

更新日期：2008-11-01 00:00:00

abstract：:A significant consideration in modeling systems with stages is to obtain models for the individual stages that have probability density functions (pdfs) of residence times that are close to those of the real system. Consequently, the theory of residence time distributions is important for modeling. Here I show first t...

journal_title：Mathematical biosciences

authors： Jacquez JA

更新日期：2002-11-01 00:00:00

abstract：:The vaccination program for pertussis (whooping cough) in the United States consists of giving multiple doses of pertussis vaccine to young children. A demographic model with a steady-state age distribution is used as a basis for building an epidemiologic model for the transmission of pertussis. This age-structured mo...

journal_title：Mathematical biosciences

authors： Hethcote HW

更新日期：1997-10-15 00:00:00

abstract：:A pandemic of a novel Coronavirus emerged in December of 2019 (COVID-19), causing devastating public health impact across the world. In the absence of a safe and effective vaccine or antivirals, strategies for controlling and mitigating the burden of the pandemic are focused on non-pharmaceutical interventions, such a...

journal_title：Mathematical biosciences

authors： Ngonghala CN,Iboi E,Eikenberry S,Scotch M,MacIntyre CR,Bonds MH,Gumel AB

更新日期：2020-07-01 00:00:00

abstract：:In many cicadas, a phenomenon is observed in which the peak of emergence of males precedes that of females (protandry). Generally, it is known that the ecology of emergence of insects is closely related to mating, and protandry is said to be the strategy of males to eclose early and to attempt mating with virgin femal...

journal_title：Mathematical biosciences

authors： Saisho Y

更新日期：2018-11-01 00:00:00

abstract：:Traits such as skill at foraging and investment in anti-predator defense may vary among individuals within a species population. This intraspecific variation has implications for community dynamics. The implications of intraspecific variation of a consumer in the intermediate level of a tritrophic food chain are explo...

journal_title：Mathematical biosciences

authors： DeAngelis DL

更新日期：2013-08-01 00:00:00

abstract：:In this paper, a mathematical modeling framework is presented which describes the growth, encapsulation, and transcapsular spread of solid tumors. The model is based on the physical forces and cellular interactions involved in tumorigenesis and is used to test and compare the active (foreign body hypothesis) and passi...

journal_title：Mathematical biosciences

authors： Jackson TL,Byrne HM

更新日期：2002-11-01 00:00:00

abstract：:Many microbial ecosystems can be seen as microbial 'food chains' where the different reaction steps can be seen as such: the waste products of the organisms at a given reaction step are consumed by organisms at the next reaction step. In the present paper we study a model of a two-step biological reaction with feedbac...

journal_title：Mathematical biosciences

authors： Sari T,Harmand J

更新日期：2016-05-01 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：:A multicompartmental model is proposed to deal with the spread of the HIV epidemic. Stratification with respect to high- and low-risk groups is taken into account, introducing a "fuzzy" decomposition of the compartment of susceptibles. The infectivity period is staged using different levels of CD4 cell counts. Asympto...

journal_title：Mathematical biosciences

authors： Rossi C

更新日期：1991-12-01 00:00:00

abstract：:This paper is concerned with the qualitative analysis of two models [S. Bonhoeffer, M. Lipsitch, B.R. Levin, Evaluating treatment protocols to prevent antibiotic resistance, Proc. Natl. Acad. Sci. USA 94 (1997) 12106] for different treatment protocols to prevent antibiotic resistance. Detailed qualitative analysis abo...

journal_title：Mathematical biosciences

authors： Sun HR,Lu X,Ruan S

更新日期：2010-09-01 00:00:00

abstract：:To control emerging infectious diseases like SARS, it is necessary to resort to basic control measures that limit exposures to infectious individuals. These measures include isolating cases at diagnosis, quarantining household members and tracing contacts of diagnosed cases, providing the community with advice on how ...

journal_title：Mathematical biosciences

authors： Becker NG,Glass K,Li Z,Aldis GK

更新日期：2005-02-01 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 this paper, branching process approximations to non-linear stochastic partnership models for sexually transmitted diseases in heterosexual populations were used to find points in the parameter space such that an epidemic would occur. At selected points in the parameter space, samples of Monte Carlo realizations of ...

journal_title：Mathematical biosciences

authors： Sleeman CK,Mode CJ

更新日期：1999-03-01 00:00:00

abstract：:An epidemic model with multiple stages of infection is studied. The model allows for infected individuals to move from advanced stages of infection back to less advanced stages of infection. A threshold parameter which determines the local stability of the disease free equilibrium is found and interpreted. Under condi...

journal_title：Mathematical biosciences

authors： McCluskey CC

更新日期：2003-01-01 00:00:00

abstract：:In this article, we are interested in the problem of the existence of a few linkage groups in which lethal infertile genes associated with yield factors are present. This hypothesis is supported by the finding of natural balanced lethal systems, which keep a short heterotic chromosome segment. It is very important to ...

journal_title：Mathematical biosciences

authors： Ronceros RB,Sorarrain O,Salerno JC,Favret EA

更新日期：1997-03-01 00:00:00

abstract：:We investigate an SIR epidemic model with discrete age groups to understand the transmission dynamics of an infectious disease in a host population with an age structure. We derive the basic reproduction number R0 and show that it is a sharp threshold parameter. If R0≤1, the disease-free equilibrium E0 is globally sta...

journal_title：Mathematical biosciences

authors： Zhou L,Wang Y,Xiao Y,Li MY

更新日期：2019-02-01 00:00:00

abstract：:An inherent problem in studying the behavior of a metabolic pathway is the impossibility of developing a complete, detailed model that includes all the cellular processes that have an impact on the set of fluxes in such a pathway. Lacking this, one requires some means of modeling the interactions between a metabolic p...

journal_title：Mathematical biosciences

authors： Schlosser PM,Bailey JE

更新日期：1990-06-01 00:00:00

abstract：:In this paper we compare foraging strategies that might be used by predators seeking prey in a patchy environment. The strategies differ in the extent to which predators aggregate in response to prey density. The approach to the comparison is suggested by the idea of evolutionarily stable strategies. A strategy is sai...

journal_title：Mathematical biosciences

authors： Cantrell RS,Cosner C

更新日期：1999-08-01 00:00:00

abstract：:In estimating mutation rates using the Luria-Delbrück experimental protocol, it is often assumed that all mutant cells survive the plating procedure to form visible mutant colonies. This assumption of perfect plating efficiency may not hold in certain circumstances, but none of the existing estimation methods that adj...

journal_title：Mathematical biosciences

authors： Zheng Q

更新日期：2008-12-01 00:00:00

abstract：:A nonlinear mathematical model developed by Chandrasekaran et al. is examined to monitor pharmacokinetic profiles in percutaneous drug absorption and is addressed to several associated problems that could occur in the data analysis of in vitro experiments. The formulation of the model gives rise to a nonlinear partial...

journal_title：Mathematical biosciences

authors： Kubota K,Twizell EH

更新日期：1992-03-01 00:00:00

abstract：:Emergency vaccination during an epidemic of classical swine fever virus (CSFV) has become a serious option because of the ethical problems of strategies with massive culling and the availability of a marker vaccine that reduces virus transmission. Here we present a model of between-herd CSFV transmission, which quanti...

journal_title：Mathematical biosciences

authors： Klinkenberg D,Everts-van der Wind A,Graat EA,de Jong MC

更新日期：2003-12-01 00:00:00

abstract：:The problem of biological invasion in a model single-species community is considered, the spatiotemporal dynamics of the system being described by a modified Fisher equation. For a special case, we obtain an exact solution describing self-similar growth of the initially inhabited domain. By comparison with numerical s...

journal_title：Mathematical biosciences

authors： Petrovskii S,Shigesada N

更新日期：2001-08-01 00:00:00

abstract：:Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood. Here, we investigate the two-state Markov model on a tripod tree, inferring conditions under which a given set of observations gives rise to such ...

journal_title：Mathematical biosciences

authors： Klaere S,Liebscher V

更新日期：2012-05-01 00:00:00

abstract：:A structure for representing problems in decision analysis and in expert systems, which reason under uncertainty, is the influence diagram or causal network. A causal network consists of an underlying joint probability distribution and a directed acyclic graph in which a propositional variable that represents a margin...

journal_title：Mathematical biosciences

authors： Neapolitan RE

更新日期：1991-02-01 00:00:00