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Quantitative Biology > Tissues and Organs

arXiv:0806.3489 (q-bio)
[Submitted on 20 Jun 2008]

Title:Line-Defect Patterns of Unstable Spiral Waves in Cardiac Tissue

Authors:Juan G. Restrepo, Alain Karma
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Abstract: 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.
Comments: 4 pages, 5 figures
Subjects: Tissues and Organs (q-bio.TO); Quantitative Methods (q-bio.QM)
Cite as: arXiv:0806.3489 [q-bio.TO]
  (or arXiv:0806.3489v1 [q-bio.TO] for this version)
  https://doi.org/10.48550/arXiv.0806.3489
Related DOI: https://doi.org/10.1103/PhysRevE.79.030906

Submission history

From: Juan G. Restrepo [view email]
[v1] Fri, 20 Jun 2008 23:28:46 UTC (190 KB)
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