The effects of diseases on competing species.

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：:The goal of this article is to formulate and analyze the simplest logistic pair-formation model and to contrast its dynamics to that of the corresponding Malthusian pair-formation model, that is, a generalization of the Kendall-Keyfitz model. The Malthusian pair-formation model supports a unique nontrivial stable expo...

journal_title：Mathematical biosciences

authors： Castillo-Chavez C,Huang W

更新日期：1995-07-01 00:00:00

abstract：:A number of recent research studies have focused on theoretical and experimental investigation of a bottleneck in a metabolic reaction network. However, there is no study on how the bottleneck affects the performance of a fermentation process when a product is highly toxic and remarkably influences the growth and deat...

journal_title：Mathematical biosciences

authors： Sriyudthsak K,Shiraishi F

更新日期：2010-11-01 00:00:00

abstract：:A mechanistic model of the Fitzhugh-Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasmonate and the MYC2 ...

journal_title：Mathematical biosciences

authors： Chiangga S,Pornkaveerat W,Frank TD

更新日期：2016-03-01 00:00:00

abstract：:This paper deals with numerical modeling and simulation of heat transfer in skin tissues using non-linear dual-phase-lag (DPL) bioheat transfer model under periodic heat flux boundary condition. The blood perfusion is assumed temperature-dependent which results in non-linear DPL bioheat transfer model in order to pred...

journal_title：Mathematical biosciences

authors： Kumar D,Kumar P,Rai KN

更新日期：2017-11-01 00:00:00

abstract：:The methods of Laplace transform were used to solve a mathematical model developed for percutaneous drug absorption. This model includes application and removal of the vehicle from the skin. A system of two linear partial differential equations was solved for the application period. The concentration of the medicinal ...

journal_title：Mathematical biosciences

authors： Simon L,Loney NW

更新日期：2005-10-01 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：: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：: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：: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：:This paper is concerned with the development of a stochastic path of prostate-specific antigen (PSA) level after radiation treatment for prostate cancer. PSA is a biomarker for prostate cancer, higher levels of which indicate the seriousness of the cancer progression. Following the deterministic modeling of the data b...

journal_title：Mathematical biosciences

authors： Dayananda PW,Taylor JM,Whiting DG

更新日期：2003-04-01 00:00:00

abstract：:During normal, voluntary movements, skeletal muscles typically contract in a highly dynamic manner; the length of the muscle and the speed of contraction change continuously. In this study, we present an approach to predict the accurate behavior of muscles for such dynamic contractions using Huxley's cross-bridge mode...

journal_title：Mathematical biosciences

authors： Wu JZ,Herzog W,Cole GK

更新日期：1997-01-01 00:00:00

abstract：:Genetic studies report the existence of a mutant allele Delta32 of CCR5 chemokine receptor gene at high allele frequencies (approximately 10%) in Caucasian populations. The presence of this allele is believed to provide partial or full resistance to HIV. In this study, we look at the impact of education, temporarily e...

journal_title：Mathematical biosciences

authors： Del Valle S,Morales Evangelista A,Velasco MC,Kribs-Zaleta CM,Hsu Schmitz SF

更新日期：2004-02-01 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：: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：: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：:In automatic feedback control of intravenous drug infusions, convergence to the setpoint is an important objective. This paper examines the stability of pharmacokinetic-pharmacodynamic models of patient response regulated with proportional integral feedback. The model consists of three components: linear compartmental...

journal_title：Mathematical biosciences

authors： Wada DR

更新日期：1997-12-01 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：: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：:We propose a new approach for tumor immunotherapy which is based on a switching control strategy defined on domains of attraction of equilibria of interest. For this, we consider a recently derived model which captures the effects of the tumor cells on the immune system and viceversa, through predator-prey competition...

journal_title：Mathematical biosciences

authors： Doban AI,Lazar M

更新日期：2017-02-01 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：:Bone modeling and remodeling has been the subject of extensive experimental studies. There have been several mathematical models proposed to explain the observed behavior, as well. A different approach is taken here in which the bone is treated from a macroscopic view point. In this investigation, a one-dimensional an...

journal_title：Mathematical biosciences

authors： Banks-Sills L,Ståhle P,Svensson I,Eliaz N

更新日期：2011-03-01 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：:Three-species food-chain models, in which the prey population exhibits group defense, are considered. Using the carrying capacity of the environment as the bifurcation parameter, it is shown that the model without delay undergoes a sequence of Hopf bifurcations. In the model with delay it is shown that using a delay a...

journal_title：Mathematical biosciences

authors： Freedman HI,Ruan S

更新日期：1992-09-01 00:00:00

abstract：:Estimation of the immunity coverage required to effectively control disease transmission is an important public health problem. Using data on the eventual size of a major epidemic, we compare estimates based on the simplifying assumption that the community consists of uniformly mixing individuals with estimates obtain...

journal_title：Mathematical biosciences

authors： Becker NG,Utev S

更新日期：1998-01-01 00:00:00

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：:Inflammation plays a critical role in the development and progression of cancer, evident in multiple patient populations manifesting increased, non-resolving inflammation, such as inflammatory bowel disease, viral hepatitis and obesity. Given the complexity of both the inflammatory response and the process of oncogene...

journal_title：Mathematical biosciences

authors： An G,Kulkarni S

更新日期：2015-02-01 00:00:00

abstract：:Under the influence of randomly occurring disasters, the eventual extinction probability, q, of a birth and death process, Z, is a random variable. In this paper, we obtain an integral expression for the probability density function g(x) of q under the assumption that the population process Z is a time homogeneous lin...

journal_title：Mathematical biosciences

authors： Lee C

更新日期：2000-03-01 00:00:00