Wavefront propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations
type: Item
instance of: scholarly article
title: Wavefront propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations
zbMATH Open document ID: 0733.92006
DOI: 10.1007/BF00163143
author: S. Rovida
author: Piero Colli Franzone
author: Luciano Guerri
published in: Journal of Mathematical Biology
publication date: 1990-01-01T00:00:00Z
review text: A detailed macroscopic model of the excitation process of the myocardium is presented. It is characterized by a nonlinear system of parabolic and elliptic PDEs. The cardiac potential field is studied by perturbation techniques. Finite difference methods are used to obtain quantitative results which are illustrated by numerous plots and interesting comments.
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 4213788
zbMATH Keywords: coupled anisotropic media
zbMATH Keywords: moving excitation wavefront
zbMATH Keywords: numerical simulations
zbMATH Keywords: eikonal equations
zbMATH Keywords: electrocardiology
zbMATH Keywords: macroscopic model
zbMATH Keywords: excitation process
zbMATH Keywords: myocardium
zbMATH Keywords: cardiac potential field
Wikidata QID: Q52502697
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
cites work: Multidimensional nonlinear diffusion arising in population genetics
cites work: Threshold Phenomena and Solitary Traveling Waves in a Class of Reaction-Diffusion Systems
cites work: Q4134306
cites work: Perturbation analysis of an approximation to the Hodgkin-Huxley theory
cites work: Oblique dipole layer potentials applied to electrocardiology
cites work: Oblique double layer potentials for the direct and inverse problems of electrocardiology
cites work: Q4729647
cites work: Asymptotic analysis of reaction-diffusion wave fronts
cites work: Geometric Optics Approach to Reaction-Diffusion Equations
cites work: Three-dimensional waves in excitable reaction-diffusion systems
cites work: The geometry and motion of reaction-diffusion waves on closed two- dimensional manifolds
cites work: Stability and Convergence of Finite Difference Methods for Systems of Nonlinear Reaction-Diffusion Equations
cites work: Fully Discrete Stability and Invariant Rectangular Regions for Reaction-Diffusion Systems
cites work: Q5531283
cites work: Waves in Excitable Media
cites work: A Geometrical Theory for Spiral Waves in Excitable Media
cites work: Q5564776
cites work: Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations
cites work: A continuum model for coupled cells
cites work: Fiber architecture of the left ventricular wall: An asymptotic analysis
cites work: A Study of Numerical Methods for Reaction-Diffusion Equations
cites work: Curvature and the evolution of fronts
full work available at URL: https://doi.org/10.1007/bf00163143
OpenAlex ID: W1994097156
description: scientific article; zbMATH DE number 4213788