Line-Defect Patterns of Unstable Spiral Waves in Cardiac Tissue

Details Line-Defect Patterns of Unstable Spiral Waves in Cardiac Tissue Line-Defect Patterns of Unstable Spiral Waves in Cardiac Tissue

2008-06-20

arxiv.org/abs/0806.3489v1

Biology

Quantitative Biology

Tissues and Organs

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.79.030906

Spiral wave propagation in period-2 excitable media is often accompanied by line-defects, the locus of points with period-1 oscillations. Here we investigate spiral line-defects in cardiac tissue where period-2 behavior has a known arrhythmogenic role. We find that the number of line defects, which is constrained to be an odd integer, is three for a freely rotating spiral, with and without meander, but one for a spiral anchored around a fixed heterogeneity. We interpret analytically this finding using a simple theory where spiral wave unstable modes with different numbers of line-defects correspond to quantized solutions of a Helmholtz equation. Furthermore, the slow inward rotation of spiral line-defects is described in different regimes.

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