id: Simula.sc.838
authors: Aslak Tveito, Glenn Terje Lines, Robert Artebrant, Ola Skavhaug, and Molly Maleckar
title: Existence of excitation waves for a collection of cardiomyocytes electrically coupled to fibroblasts
publication_year: 2011
abstract: We consider mathematical models of a collection of cardiomyocytes (myocardial tissue) coupled to a varying number of fibroblasts. Our aim is to understand how conductivity ($\delta$) and fibroblast density ($\eta$) affect the stability of the myocardial tissue. We provide mathematical and computational arguments indicating that there is a region of instability in the $\eta-\delta$ space.  Mathematical arguments, based on a simplified model of the coupled myocyte-fibroblast system, show that for certain parameter choices, a stationary solution cannot exist. Numerical experiments (1D,2D) are based on a recently developed model of electro-chemical coupling between a human atrial myocyte and a number of associated atrial fibroblasts.
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journal: Mathematical Biosciences
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number: 230(2)
pages: 79-86
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publication_state: Published
simula_ou: [<Department at /simula/department/camo>]
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