A mathematical model for the vulnerable phase in myocardium
type: Item
instance of: scholarly article
title: A mathematical model for the vulnerable phase in myocardium
zbMATH Open document ID: 0651.92003
DOI: 10.1016/0025-5564(88)90055-7
author: James P. Keener
published in: Mathematical Biosciences
publication date: 1988-01-01T00:00:00Z
review text: We present a model of excitable media with the feature that it has a vulnerable phase during which a premature current stimulus will result in the formation of a reentrant self-sustained wave of excitation. The model exploits anisotropic coupling of identical cells, and is therefore useful as a model for the myocardium. We discuss why there is a vulnerable phase and how to determine it quantitatively in models of excitable media, and we demonstrate numerically that permanently rotating waves are formed when a stimulus is applied during this vulnerable phase. Finally, it is shown that the direction of fastest propagation in myocardium is not necessarily the direction of highest safety factor, contrary to commonly accepted opinion. As a result, a reentrant wave is formed after a stimulus is blocked in the axial direction and successfully propagates away from the stimulus site in the lateral direction.
Mathematics Subject Classification ID: 92Cxx
zbMATH DE Number: 4062881
zbMATH Keywords: propagation of action potentials
zbMATH Keywords: cardiac arrhythmias
zbMATH Keywords: model of excitable media
zbMATH Keywords: vulnerable phase
zbMATH Keywords: reentrant self-sustained wave of excitation
zbMATH Keywords: anisotropic coupling of identical cells
zbMATH Keywords: myocardium
zbMATH Keywords: rotating waves
zbMATH Keywords: direction of fastest propagation
zbMATH Keywords: direction of highest safety factor
MaRDI profile type: Publication
full work available at URL: 0025-5564(88)90055-7
OpenAlex ID: W1984126558
cites work: Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory
cites work: Dispersion of traveling waves in the Belousov-Zhabotinskij reaction
cites work: On the formation of circulating patterns of excitation in anisotropic excitable media
cites work: Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
description: scientific article; zbMATH DE number 4062881