A Mathematical Model of Countercurrent Exchange of Oxygen Between Paired Arterioles and Venules.

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：:The problem of testing for treatment effect when some subjects in the treatment group may be unaffected by the treatment is considered. A form of the Lehmann alternative suggested by Conover and Salsburg is used that assumes that each control score has the same distribution as the minimum of the known number of respon...

journal_title：Mathematical biosciences

authors： Razzaghi M,Nanthakumar A

更新日期：1992-04-01 00:00:00

abstract：:This study is a theoretical excursion into gravity models and their usability in evaluating importance of spatial structure and population development for the spread of colonizing organisms. A so called "gravity score" for sites is deduced, and such a score could be used for predicting risk of colonization once one si...

journal_title：Mathematical biosciences

authors： Järemo J

更新日期：2009-11-01 00:00:00

abstract：:Mathematical models of biological systems often have components that vary on different timescales. This multi-timescale character can lead to problems when doing computer simulations, which can require a great deal of computer time so that the components that change on the fastest time scale can be resolved. Mathemati...

journal_title：Mathematical biosciences

authors： Bertram R,Rubin JE

更新日期：2017-05-01 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：:Distribution or nuclear space-valued stochastic differential equations (SDEs) (diffusions as well as discontinuous equations) are discussed as stochastic models for the behavior of voltage potentials of spatially distributed neurons. A propagation of chaos result is obtained for an interacting system of Hilbert space-...

journal_title：Mathematical biosciences

authors： Kallianpur G

更新日期：1992-12-01 00:00:00

abstract：:This article examines the functional and clinical impact of time delays that arise in human physiological systems, especially control systems. An overview of the mathematical and physiological contexts for considering time delays will be illustrated, from the system level to cell level, by examining models that incorp...

journal_title：Mathematical biosciences

authors： Batzel JJ,Kappel F

更新日期：2011-12-01 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：: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：:In this paper, we propose an iterative learning rule that allows the imprinting of correlated oscillatory patterns in a model of the hippocampus able to work as an associative memory for oscillatory spatio-temporal patterns. We analyze the dynamics in the Fourier domain, showing how the network selectively amplify or ...

journal_title：Mathematical biosciences

authors： Marinaro M,Scarpetta S,Yoshioka M

更新日期：2007-06-01 00:00:00

abstract：:We explore the feasibility of deriving generalised expressions for the probability mass function (PMF) of the final epidemic size of a Susceptible - Infected - Recovered (SIR) model on a finite network of an arbitrary number of nodes. Expressions for the probability that the infection progresses along a given pathway ...

journal_title：Mathematical biosciences

authors： McCulloch K,Roberts MG,Laing CR

更新日期：2019-05-01 00:00:00

abstract：:Through use of the local state isomorphism theorem instead of the algebraic equivalence theorem of linear systems theory, the similarity transformation approach is extended to nonlinear models, resulting in finitely verifiable sufficient and necessary conditions for global and local identifiability. The approach requi...

journal_title：Mathematical biosciences

authors： Vajda S,Godfrey KR,Rabitz H

更新日期：1989-04-01 00:00:00

abstract：:In this paper, we consider a deterministic malaria transmission model with standard incidence rate and treatment. Human population is divided into susceptible, infectious and recovered subclasses, and mosquito population is split into susceptible and infectious classes. It is assumed that, among individuals with malar...

journal_title：Mathematical biosciences

authors： Feng X,Ruan S,Teng Z,Wang K

更新日期：2015-08-01 00:00:00

abstract：:On the basis of this study, it is concluded that within physiological limits the minimum value for the mean capture time of LDL receptors by coated pits must be induced fundamentally by an optimal characterization of their insertion rate function. The corresponding steady-state surface aggregation patterns for the unb...

journal_title：Mathematical biosciences

authors： Echavarría-Heras H

更新日期：1999-11-01 00:00:00

abstract：:Cooperating behaviors abound across all domains of life, but are vulnerable to invasion by cheaters. An important evolutionary question is to determine mechanisms that stabilize and maintain cooperation levels and prevent population collapse. Policing is one strategy populations may employ to achieve this goal, and it...

journal_title：Mathematical biosciences

authors： Lynn BK,De Leenheer P

更新日期：2019-10-01 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：:We consider a host-parasitoid system with individuals moving on a square grid of patches. We study the effects of increasing movement frequency of hosts and parasitoids on the spatial dynamics of the system. We show that there exists a threshold value of movement frequency above which spatial synchrony occurs and the ...

journal_title：Mathematical biosciences

authors： Nguyen-Huu T,Lett C,Auger P,Poggiale JC

更新日期：2006-10-01 00:00:00

abstract：:This paper considers the geometry of plants with golden spiral phyllotaxis, i.e. growing leaf by leaf on a spiral with golden divergence angle, via the simplest mathematical model, a cylinder with regular arrangement of points on its surface. As is well-known, Fibonacci numbers appear by means of the order of parastic...

journal_title：Mathematical biosciences

authors： Herrmann B

更新日期：2018-07-01 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：:A non-traditional approach of fitting dynamic resource biomass models to data is developed in this paper. A variational adjoint technique is used for dynamic parameter estimation. In the variational formulation, a cost function measuring the distance between the model solution and the observations is minimized. The da...

journal_title：Mathematical biosciences

authors： Ussif AA,Sandal LK,Steinshamn SI

更新日期：2003-03-01 00:00:00

abstract：:Frailty models are becoming increasingly popular in multivariate survival analysis. Shared frailty models in particular are often used despite their limitations. To overcome their disadvantages numerous correlated frailty models were established during the last decade. In the present study, we examine bivariate correl...

journal_title：Mathematical biosciences

authors： Wienke A,Arbeev KG,Locatelli I,Yashin AI

更新日期：2005-11-01 00:00:00

abstract：:Most endocrine cells secrete hormones as a result of Ca2+-regulated exocytosis, i.e., fusion of the membranes of hormone-containing secretory granules with the cell membrane, which allows the hormone molecules to escape to the extracellular space. As in neurons, electrical activity and cell depolarization open voltage...

journal_title：Mathematical biosciences

authors： Pedersen MG,Tagliavini A,Cortese G,Riz M,Montefusco F

更新日期：2017-01-01 00:00:00

abstract：:Optical biosensors, including the BIACORE, provide an increasingly popular method for determining reaction rates of biomolecules. In a flow chamber, with one reactant immobilized on a chip on the sensor surface, a solution containing the other reactant (the analyte) flows through the chamber. The time course of bindin...

journal_title：Mathematical biosciences

authors： Mason T,Pineda AR,Wofsy C,Goldstein B

更新日期：1999-07-01 00:00:00

abstract：:A stochastic model for hospital infection incorporating both direct transmission and indirect transmission via free-living bacteria in the environment is investigated. We examine the long term behavior of the model by calculating a stationary distribution and normal approximation of the distribution. The quasi-station...

journal_title：Mathematical biosciences

authors： Wang X,Xiao Y,Wang J,Lu X

更新日期：2013-01-01 00:00:00

abstract：:The electronic structure of DNA is theoretically investigated by use of the coherent potential approximation. Even when the sequence of the four kinds of bases is nonperiodic, guanine block forms the persistent highest valence band edge, and adenine block forms the persistent lowest conduction band edge state. Accordi...

journal_title：Mathematical biosciences

authors： Takeda K

更新日期：1995-12-01 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：:Colorado River is a unique ecosystem and provides important ecological services such as habitat for fish species as well as water power energy supplies. River management for this ecosystem requires assessment and decision support tools for fish which involves protecting, restoring as well as forecasting of future cond...

journal_title：Mathematical biosciences

authors： Yao W,Chen Y

更新日期：2018-04-01 00:00:00

abstract：:The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed...

journal_title：Mathematical biosciences

authors： Andreasen V,Christiansen FB

更新日期：1989-10-01 00:00:00

abstract：:The problem addressed is that of finding the harvesting policy that will maximize the yield and maintain a given population in a steady state. It is assumed that the equations describing the evolution of the population and the yield are linear but that the equation describing reproduction is nonlinear (density depende...

journal_title：Mathematical biosciences

authors： Dacorogna B,Weissbaum F,Arditi R

更新日期：1994-03-01 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