Spread of excitation in 3-D models of the anisotropic cardiac tissue. III. Effects of ventricular geometry and fiber structure on the potential distribution.

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：:The article theoretically regards probability density functions (PDFs) for axial ratio (X/Y) of sectioning profiles of elliptical microvessels (MVs) arranged with anisotropy in a biological tissue volume. A technique for the PDF(X/Y) calculations in anisotropy of the elliptical MVs is described. The essence of this te...

journal_title：Mathematical biosciences

authors： Krasnoperov RA,Gerasimov AN

更新日期：2009-06-01 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：:A mathematical analysis of the stability in human respiration, based on the tau-decomposition method, is conducted on a simple, but realistic CO2 model of the respiratory system. This model incorporates a two-compartment representation (lungs and tissues) for the plant and a very general class of controller. By derivi...

journal_title：Mathematical biosciences

authors： Vielle B,Chauvet G

更新日期：1998-09-01 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：: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：:A fundamental problem in reconstructing the evolutionary history of a set of species is to infer the topology of the evolutionary tree that relates those species. A statistical method for estimating such a topology from character data is called consistent if, given data from more and more characters, the method is sur...

journal_title：Mathematical biosciences

authors： Chang JT

更新日期：1996-06-01 00:00:00

abstract：:The influence of intrinsic channel noise on the spiking activity of excitable membrane patches is studied by use of a stochastic generalization of the Hodgkin-Huxley model. Internal noise stemming from the stochastic dynamics of individual ion channels does affect the electric properties of the cell-membrane patches. ...

journal_title：Mathematical biosciences

authors： Schmid G,Hänggi P

更新日期：2007-06-01 00:00:00

abstract：:In this article we elaborate on the structure of the generalized Lotka-Volterra (GLV) form for nonlinear differential equations. We discuss here the algebraic properties of the GLV family, such as the invariance under quasimonomial transformations and the underlying structure of classes of equivalence. Each class poss...

journal_title：Mathematical biosciences

authors： Hernández-Bermejo B,Fairén V

更新日期：1997-02-01 00:00:00

abstract：:The effects of pulsatile GnRH stimulation on anterior pituitary cells are studied using perifusion cell cultures, where constantly moving culture medium over the immobilized cells allows intermittent GnRH delivery. The LH content of the outgoing medium serves as a readout of the GnRH signaling pathway activation in th...

journal_title：Mathematical biosciences

authors： Temamogullari NE,Nijhout HF,C Reed M

更新日期：2016-06-01 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

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：:This paper provides an introduction to and overview of the use of stochastic models and statistical analysis in the study of ion channels in cell membranes. An extensive bibliography is included. ...

journal_title：Mathematical biosciences

authors： Ball FG,Rice JA

更新日期：1992-12-01 00:00:00

abstract：:For a wide range of airborne infectious diseases, transmission within the family or household is a key mechanism for the spread and persistence of infection. In general, household-based transmission is relatively strong but only involves a limited number of individuals in contact with each infectious person. In contra...

journal_title：Mathematical biosciences

authors： House T,Keeling MJ

更新日期：2008-05-01 00:00:00

abstract：:A mathematical model is formulated for diffusive countercurrent exchange of oxygen between paired arterioles and venules. A closed form solution of the problem is obtained by linearizing the nonlinear oxyhemoglobin dissociation curve at the inlet PO2 in the vessel. The closed form solution is compared with the corresp...

journal_title：Mathematical biosciences

authors： Sharan M,Popel AS

更新日期：1988-09-01 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：:It is well known that in the most general epidemic models with multiple pathogen variants a competitive exclusion principle is valid, such that the variant with the highest reproduction number eliminates the rest. Mechanisms such as super-infection, coinfection, and cross-immunity can lead to pathogen polymorphism whe...

journal_title：Mathematical biosciences

authors： Martcheva M,Pilyugin SS,Holt RD

更新日期：2007-05-01 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：:Using the coalescent process, DNA sequences of a sample of individuals can be used to study the phylogenetic history of the individuals. Under the infinitely-many-sites mutation model, the DNA sequence data can be summarized by the number of segregating sites (which is numerically equivalent to the number of mutations...

journal_title：Mathematical biosciences

authors： Thomson R

更新日期：1998-10-01 00:00:00

abstract：:Two optimization problems are considered: Harvesting from a structured population with maximal gain subject to the condition of non-extinction, and vaccinating a population with prescribed reduction of the reproduction number of the disease at minimal costs. It is shown that these problems have a similar structure and...

journal_title：Mathematical biosciences

authors： Hadeler KP,Müller J

更新日期：2007-04-01 00:00:00

abstract：:In this work we investigate, by means of numerical simulations, the performance of two mathematical models describing the spread of excitation in a three dimensional block representing anisotropic cardiac tissue. The first model is characterized by a reaction-diffusion system in the transmembrane and extracellular pot...

journal_title：Mathematical biosciences

authors： Franzone PC,Guerri L

更新日期：1993-02-01 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：: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：: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：: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：:Metabolic flux analysis using carbon labeling experiments (CLEs) is an important tool in metabolic engineering where the intracellular fluxes have to be computed from the measured extracellular fluxes and the partially measured distribution of 13C labeling within the intracellular metabolite pools. The relation betwee...

journal_title：Mathematical biosciences

authors： Isermann N,Wiechert W

更新日期：2003-06-01 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：:A mathematical model is presented for the growth of a multicellular spheroid that comprises a central core of necrotic cells surrounded by an outer annulus of proliferating cells. The model distinguishes two mechanisms for cell loss: apoptosis and necrosis. Cell loss due to apoptosis is defined to be programmed cell d...

journal_title：Mathematical biosciences

authors： Byrne HM,Chaplin MA

更新日期：1996-07-15 00:00:00

abstract：:Quantitative models for characterising the detailed branching patterns of dendritic trees aim to explain these patterns either in terms of growth models based on principles of dendritic development or reconstruction models that describe an existing structure by means of a canonical set of elementary properties of dend...

journal_title：Mathematical biosciences

authors： Lindsay KA,Maxwell DJ,Rosenberg JR,Tucker G

更新日期：2007-02-01 00:00:00

abstract：:We present a theoretical model for steady-state radial and longitudinal oxygen transport in arterioles containing flowing blood (plasma and red blood cells) and surrounded by living tissue. This model combines a detailed description of convective and diffusive oxygen transport inside the arteriole with a novel boundar...

journal_title：Mathematical biosciences

authors： Moschandreou TE,Ellis CG,Goldman D

更新日期：2011-07-01 00:00:00