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


: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 transmembrane potential v, associated with the spreading excitation, the extracellular potential u is obtained as solution of a linear elliptic equation with the source term related to v. The potential distributions were computed for point stimulations at different intramural depths. The results of the simulations enabled us to identify a number of common features which appears in all the potential patterns irrespective of pacing site. In addition, by splitting the sources into an axial and conormal component, we were able to evaluate the contribution of the classical uniform dipole layer to the total potential field and the role of the superimposed axial component.


Math Biosci


Mathematical biosciences


Colli Franzone P,Guerri L,Pennacchio M,Taccardi B




Has Abstract


1998-07-01 00:00:00














  • Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones.

    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

    pub_type: 杂志文章


    authors: Muhammad N,Eberl HJ

    更新日期:2011-09-01 00:00:00

  • Controlling emerging infectious diseases like SARS.

    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

    pub_type: 杂志文章


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

    更新日期:2005-02-01 00:00:00

  • Sharpening spots: correcting for bleedover in cDNA array images.

    abstract::For cDNA array methods that depend on imaging of a radiolabel, we show that bleedover of one spot onto another, due to the gap between the array and the imaging media, can be a major problem. The images can be sharpened, however, using a blind convolution method based on the EM algorithm. The sharpened images look lik...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Therneau T,Tschumper RC,Jelinek D

    更新日期:2002-03-01 00:00:00

  • Mathematical models for the effects of hypertension and stress on kidney and their uncertainty.

    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

    pub_type: 杂志文章


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

    更新日期:2018-11-01 00:00:00

  • Influence of tissue metabolism and capillary oxygen supply on arteriolar oxygen transport: a computational model.

    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

    pub_type: 杂志文章


    authors: Moschandreou TE,Ellis CG,Goldman D

    更新日期:2011-07-01 00:00:00

  • Limiting characteristics for finite birth-death-catastrophe processes.

    abstract::General nonstationary birth-death process with possible catastrophes on finite state space is studied. The approach for obtaining the bounds on the rates of convergence to the limiting characteristics is outlined. Method for construction of the limiting characteristics is proposed. We also show that, as a rule, the in...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Zeifman A,Satin Y,Panfilova T

    更新日期:2013-09-01 00:00:00

  • Global stability for a 2n+1 dimensional HIV/AIDS epidemic model with treatments.

    abstract::In this work, we derive and analyze a 2n+1-dimensional deterministic differential equation modeling the transmission and treatment of HIV (Human Immunodeficiency Virus) disease. The model is extended to a stochastic differential equation by introducing noise in the transmission rate of the disease. A theoretical treat...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Otunuga OM

    更新日期:2018-05-01 00:00:00

  • Studying health histories of cancer: a new model connecting cancer incidence and survival.

    abstract::The results of recent experimental and epidemiological studies provide evidence on the connection between carcinogenesis, cancer progression, and aging. Existing models, however, are traditionally focused only on one of these aspects of health deterioration. In this paper, we derive a new model of cancer, which descri...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Yashin AI,Akushevich I,Arbeev K,Akushevich L,Kulminski A,Ukraintseva S

    更新日期:2009-04-01 00:00:00

  • A mechanoreceptor model for rapidly and slowly adapting afferents subjected to periodic vibratory stimuli.

    abstract::A simple model of Freeman and Johnson on cutaneous mechanoreceptors is modified by introducing mechanisms for hyperexcitation and refractoriness. These lead to significant improvements in the match between the neural and model data. ...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Slavík P,Bell J

    更新日期:1995-11-01 00:00:00

  • A new five-parameter Birnbaum-Saunders distribution for modeling bicoid gene expression data.

    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

    pub_type: 杂志文章


    authors: Hassani H,Kalantari M,Entezarian MR

    更新日期:2020-01-01 00:00:00

  • On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model.

    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

    pub_type: 杂志文章


    authors: Albano G,Giorno V,Román-Román P,Torres-Ruiz F

    更新日期:2013-09-01 00:00:00

  • Ages of mutations on a coalescent tree.

    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

    pub_type: 杂志文章


    authors: Thomson R

    更新日期:1998-10-01 00:00:00

  • Patient-specific modeling of the neuroendocrine HPA-axis and its relation to depression: Ultradian and circadian oscillations.

    abstract::In the Western world approximately 10% of the population experience severe depression at least once in their lifetime and many more experience a mild form of depression. Depression has been associated with malfunctions in the hypothalamus-pituitary-adrenal (HPA) axis. We suggest a novel mechanistic non-linear model ca...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Gudmand-Hoeyer J,Timmermann S,Ottesen JT

    更新日期:2014-11-01 00:00:00

  • A one-dimensional map to study multi-seasonal coffee infestation by the coffee berry borer.

    abstract::The coffee berry borer (CBB, Hypothenemus hampei) is the most serious insect pest of coffee worldwide; understanding the dynamics of its reproduction is essential for pest management. The female CBB penetrates the coffee berry, eats the seed, and reproduces inside it. A mathematical model of the infestation progress o...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Marcano M,Bose A,Bayman P

    更新日期:2021-01-21 00:00:00

  • A mathematical investigation of the effects of inhibitor therapy on three putative phosphorylation cascades governing the two-component system of the agr operon.

    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

    pub_type: 杂志文章


    authors: Jabbari S,King JR,Williams P

    更新日期:2010-06-01 00:00:00

  • Material modeling of biofilm mechanical properties.

    abstract::A biofilm material model and a procedure for numerical integration are developed in this article. They enable calculation of a composite Young's modulus that varies in the biofilm and evolves with deformation. The biofilm-material model makes it possible to introduce a modeling example, produced by the Unified Multi-C...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Laspidou CS,Spyrou LA,Aravas N,Rittmann BE

    更新日期:2014-05-01 00:00:00

  • Similarity transformation approach to identifiability analysis of nonlinear compartmental models.

    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

    pub_type: 杂志文章


    authors: Vajda S,Godfrey KR,Rabitz H

    更新日期:1989-04-01 00:00:00

  • Global identifiability of the parameters of nonlinear systems with specified inputs: a comparison of methods.

    abstract::The two methods available for analyzing the global structural identifiability of the parameters of a nonlinear system with a specified input function, the Taylor series approach and the similarity transformation approach, are compared and contrasted through application to three examples. It is shown that, as for linea...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Chappell MJ,Godfrey KR,Vajda S

    更新日期:1990-11-01 00:00:00

  • The agreement metric for labeled binary trees.

    abstract::Let S be a set of n objects. A binary tree of S is a binary tree whose leaves are labeled without repetition from S. The operation of pruning a tree T is that of removing some leaves from T and suppressing all inner vertices of degree 2 which are formed by this deletion. Given two trees T and U, an agreement tree is a...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Goddard W,Kubicka E,Kubicki G,McMorris FR

    更新日期:1994-10-01 00:00:00

  • Global dynamics of a discrete age-structured SIR epidemic model with applications to measles vaccination strategies.

    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

    pub_type: 杂志文章


    authors: Zhou L,Wang Y,Xiao Y,Li MY

    更新日期:2019-02-01 00:00:00

  • A mechanical model of tumor encapsulation and transcapsular spread.

    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

    pub_type: 杂志文章


    authors: Jackson TL,Byrne HM

    更新日期:2002-11-01 00:00:00

  • Closed-loop stability of pharmacokinetic-pharmacodynamic models.

    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

    pub_type: 杂志文章


    authors: Wada DR

    更新日期:1997-12-01 00:00:00

  • Yule-generated trees constrained by node imbalance.

    abstract::The Yule process generates a class of binary trees which is fundamental to population genetic models and other applications in evolutionary biology. In this paper, we introduce a family of sub-classes of ranked trees, called Ω-trees, which are characterized by imbalance of internal nodes. The degree of imbalance is de...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Disanto F,Schlizio A,Wiehe T

    更新日期:2013-11-01 00:00:00

  • To switch or taper off: the dynamics of saturation.

    abstract::Many situations in population biology involve a rate--typically a contact or recruitment rate--which increases linearly for small populations but reaches a maximum value (saturates) for large populations. Models for populations of variable size need to incorporate both characteristics to predict behavior accurately. T...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Kribs-Zaleta CM

    更新日期:2004-12-01 00:00:00

  • Modeling boyciana-fish-human interaction with partial differential algebraic equations.

    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

    pub_type: 杂志文章


    authors: Jiang Y,Zhang Q,Wang H

    更新日期:2016-07-01 00:00:00

  • Multiscale analysis of pattern formation via intercellular signalling.

    abstract::Lateral inhibition, a juxtacrine signalling mechanism by which a cell adopting a particular fate inhibits neighbouring cells from doing likewise, has been shown to be a robust mechanism for the formation of fine-grained spatial patterns (in which adjacent cells in developing tissues diverge to achieve contrasting stat...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: O'Dea RD,King JR

    更新日期:2011-06-01 00:00:00

  • Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays.

    abstract::To understand how a gene regulatory network functioning as an oscillator is built, a genetic regulatory network with two transcriptional delays is investigated. We show by mathematical analysis and simulation that autorepression of mRNA and protein can provide a mechanism for the intracellular oscillator. Based on the...

    journal_title:Mathematical biosciences

    pub_type: 杂志文章


    authors: Xiao M,Cao J

    更新日期:2008-09-01 00:00:00

  • Optimal foraging by zooplankton within patches: the case of Daphnia.

    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

    pub_type: 杂志文章


    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

  • Analysis of logistic growth models.

    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

    pub_type: 杂志文章


    authors: Tsoularis A,Wallace J

    更新日期:2002-07-01 00:00:00

  • A note on plating efficiency in fluctuation experiments.

    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

    pub_type: 杂志文章


    authors: Zheng Q

    更新日期:2008-12-01 00:00:00