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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Effects of reduced discrete coupling on filament tension in excitable media
Author(s): S. Alonso, M. Bär and A. Panfilov
Journal: Chaos
Year: 2011
Volume: 21
Issue: 1
Pages: 013118
AIP Publishing
DOI: 10.1063/1.3551500
ISSN: 1089-7682
Web URL: http://scitation.aip.org/content/aip/journal/chaos/21/1/10.1063/1.3551500
Tags: 8.41 exc-media
Abstract: Wave propagation in the heart has a discrete nature, because it is mediated by discrete intercellular connections via gap junctions. Although effects of discreteness on wave propagation have been studied for planar traveling waves and vortexes (spiral waves) in two dimensions, its possible effects on vortexes (scroll waves) in three dimensions are not yet explored. In this article, we study the effect of discrete cell coupling on the filament dynamics in a generic model of an excitable medium. We find that reduced cell coupling decreases the line tension of scroll wave filaments and may induce negative filament tension instability in three-dimensional excitable lattices.

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