Organizing centers in a cellular excitable medium
type: Item
instance of: scholarly article
title: Organizing centers in a cellular excitable medium
zbMATH Open document ID: 0581.92006
DOI: 10.1016/0167-2789(85)90138-1
author: E. M. Winfree
author: A. T. Winfree
author: Herbert Seifert
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: Excitable media provide much of the subject-matter of physiology, especially of electrophysiology. We simulate excitability in a cubical three-dimensional grid of discrete cells. Topologically distinct organizing centers for self-sustaining rhythmic activity (at period 4) arise from suitable initial conditions. Two are shown: the scroll ring and the linked pair of twisted scroll rings. The first has already been observed in a chemically excitable reagent and possibly in heart muscle; the second, and others of a predicted ''periodic table of organizing centers'', remain to be observed outside computers.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 3930779
zbMATH Keywords: Excitable media
zbMATH Keywords: electrophysiology
zbMATH Keywords: cubical three-dimensional grid of discrete cells
zbMATH Keywords: self-sustaining rhythmic activity
zbMATH Keywords: scroll ring
zbMATH Keywords: linked pair of twisted scroll rings
zbMATH Keywords: periodic table of organizing centers
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90138-1
OpenAlex ID: W2033566449
cites work: Persistent spatial patterns for semi-discrete models of excitable media
cites work: Q4110834
cites work: Q4887286
cites work: Wavefront geometry in excitable media
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description: scientific article; zbMATH DE number 3930779