Instability and Spatiotemporal Dynamics of Alternans in Paced Cardiac Tissue

Details Instability and Spatiotemporal Dynamics of Alternans in Paced Cardiac Tissue Instability and Spatiotemporal Dynamics of Alternans in Paced Cardiac Tissue

2001-11-29

arxiv.org/abs/cond-mat/0111552v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.88.208101

We derive an equation that governs the spatiotemporal dynamics of small amplitude alternans in paced cardiac tissue. We show that a pattern-forming linear instability leads to the spontaneous formation of stationary or traveling waves whose nodes divide the tissue into regions with opposite phase of oscillation of action potential duration. This instability is important because it creates dynamically an heterogeneous electrical substrate for inducing fibrillation if the tissue size exceeds a fraction of the pattern wavelength. We compute this wavelength analytically as a function of three basic length scales characterizing dispersion and inter-cellular electrical coupling.

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