Helical and circular scroll wave filaments
type: Item
instance of: scholarly article
title: Helical and circular scroll wave filaments
zbMATH Open document ID: 0717.92005
DOI: 10.1016/0167-2789(90)90055-T
author: James P. Keener
author: John J. Tyson
published in: Physica D
publication date: 1990-01-01T00:00:00Z
review text: The authors study a system of three ordinary differential equations governing the behaviour of scroll waves. These are three-dimensional spiraling waves that appear, for example, in the myocardium (heart muscle). The emphasis of the paper is on the question of which nonlinear terms are relevant to describe observed phenomena pertaining to curvature, torsion and twist of wave filaments.
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 34C99
Mathematics Subject Classification ID: 92C30
zbMATH DE Number: 4183236
zbMATH Keywords: circular scroll wave filaments
zbMATH Keywords: helical scroll wave filaments
zbMATH Keywords: uniform twist
zbMATH Keywords: scroll wave evolution
zbMATH Keywords: three-dimensional spiraling waves
zbMATH Keywords: myocardium
zbMATH Keywords: heart muscle
zbMATH Keywords: curvature
zbMATH Keywords: torsion
zbMATH Keywords: twist of wave filaments
reviewed by: Gerald Warnecke
MaRDI profile type: Publication
cites work: Stable three-dimensional action potential circulation in the FitzHugh- Nagumo model
cites work: A plausible mechanism for the motion of untwisted scroll rings in excitable media
cites work: The Writhing Number of a Space Curve
cites work: The dynamics of three-dimensional scroll waves in excitable media
cites work: Knotted scroll wave filaments in excitable media
cites work: The Motion of Untwisted Untorted Scroll Waves in Belousov-Zhabotinsky Reagent
cites work: Dynamical stability of untwisted scroll rings in excitable media
cites work: A computational study of twisted linked scroll waves in excitable media
cites work: Rotating spiral waves in a modified Fitz-Hugh-Nagumo model
cites work: Singular perturbation theory of traveling waves in excitable media (A review)
cites work: Stable Particle-Like Solutions to the Nonlinear Wave Equations of Three-Dimensional Excitable Media
cites work: Q3787827
full work available at URL: 0167-2789(90)90055-t
OpenAlex ID: W2058100416
description: scientific article