Simulating patterns of excitation, repolarization and action potential duration with cardiac Bidomain and Monodomain models.

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 extended version of Birnbaum-Saunders distribution with five parameters is introduced. Theoretical aspects of five-parameter Birnbaum-Saunders distribution and the maximum likelihood estimation of parameters are presented. The reliability and applicability of the proposed distribution is evaluated using both simula...

journal_title：Mathematical biosciences

authors： Hassani H,Kalantari M,Entezarian MR

更新日期：2020-01-01 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：: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：: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 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：: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：: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：: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：: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：:We consider a population with two types of individuals: those who engage in risky sexual behavior (the core) and those who do not (the majority). We are interested in the situation where the majority would not be able to sustain an epidemic without the presence of a core. We show that even if the core is randomly spre...

journal_title：Mathematical biosciences

authors： Schinazi RB

更新日期：2001-09-01 00:00:00

abstract：:Determining the future state of individual patients, with regard to the susceptibility to life-threatening condition is a crucial problem in the public health. Chronic Kidney Disease (CKD) is a perilous disease, which is characterized by gradual loss of kidney function. This paper presents a set of mathematical models...

journal_title：Mathematical biosciences

authors： Waezizadeh T,Mehrpooya A,Rezaeizadeh M,Yarahmadian S

更新日期：2018-11-01 00:00:00

abstract：:An important factor in the dynamic transmission of HIV is the mobility of the population. We formulate various stochastic models for the spread of HIV in a heterosexual mobile population, under the assumptions of constant and varying population sizes. We also derive deterministic and diffusion analogues for these mode...

journal_title：Mathematical biosciences

authors： Sani A,Kroese DP,Pollett PK

更新日期：2007-07-01 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：:Recent work has shown that higher-order terms in population dynamics models can increase the stability, promote the diversity, and better explain the dynamics of ecological systems. While it is known that these perceived benefits come from an increasing number of alternative solutions given by the nature of multivaria...

journal_title：Mathematical biosciences

authors： AlAdwani M,Saavedra S

更新日期：2019-09-01 00:00:00

abstract：:When comparing the performance of a stochastic model of an epidemic at two points in a parameter space, a threshold is said to have been crossed when at one point an epidemic develops with positive probability; while at the other there is a tendency for an epidemic to become extinct. The approach used to find threshol...

journal_title：Mathematical biosciences

authors： Gallop RJ,Mode CJ,Sleeman CK

更新日期：2002-05-01 00:00:00

abstract：:A model was developed for novel prediction of N-linked glycan branching pattern classification for CHO-derived N-linked glycoproteins. The model consists of 30 independent recurrent neural networks and uses predicted quantities of secondary structure elements and residue solvent accessibility as an input vector. The m...

journal_title：Mathematical biosciences

authors： Senger RS,Karim MN

更新日期：2008-01-01 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：: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：: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：:Malaria is an infectious disease present all around the globe and responsible for half a million deaths per year. A within-host model of this infection requires a framework capable of properly approximating not only the blood stage of the infection but also the erythropoietic process that is in charge of overcoming th...

journal_title：Mathematical biosciences

authors： Fonseca LL,Voit EO

更新日期：2015-12-01 00:00:00

abstract：:The motions of many physical particles as well as living creatures are mediated by random influences or 'noise'. One might expect that over evolutionary time scales internal random processes found in living systems display characteristics that maximize fitness. Here we focus on animal random search strategies [G.M. Vi...

journal_title：Mathematical biosciences

authors： Garcia R,Moss F,Nihongi A,Strickler JR,Göller S,Erdmann U,Schimansky-Geier L,Sokolov IM

更新日期：2007-06-01 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：: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：: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：:A new biological growth model is introduced. After random selection of possible growth sites, cells are added in an allowable random direction. Unlike the Eden model, the current model is grid independent and can be adapted to any curved surface. Growths of colonies of as many as 10(5) cells are simulated on planar, c...

journal_title：Mathematical biosciences

authors： Wang CY,Bassingthwaighte JB

更新日期：1997-06-01 00:00:00

abstract：:Two-component systems (TCSs) are widely employed by bacteria to sense specific external signals and conduct an appropriate response via a phosphorylation cascade within the cell. The TCS of the agr operon in the bacterium Staphylococcus aureus forms part of a regulatory process termed quorum sensing, a cell-to-cell co...

journal_title：Mathematical biosciences

authors： Jabbari S,King JR,Williams P

更新日期：2010-06-01 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：:It has been shown in the literature that myocytes isolated from the ventricular walls at various intramural depths have different action potential durations (APDs). When these myocytes are embedded in the ventricular wall, their inhomogeneous properties affect the sequence of repolarization and the actual distribution...

journal_title：Mathematical biosciences

authors： Colli Franzone P,Pavarino LF,Taccardi B

更新日期：2006-11-01 00:00:00

abstract：:Subterranean termites live in large colonies under the ground where they build an elaborate network of tunnels for foraging. In this study, we explored how the termite population size can be estimated using partial information on tunnel patterns. To achieve this, we used an agent-based model to create tunnel patterns ...

journal_title：Mathematical biosciences

authors： Seo JK,Baik S,Lee SH

更新日期：2019-09-01 00:00:00