PMID: 11308882Apr 20, 2001Paper

Spiral waves in excitable media with negative restitution

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C. W. Zemlin, A V Panfilov

Abstract

We study numerically the dynamics of spiral waves in an excitable medium with negative restitution. For our study we use two models of the excitable medium: a cellular automaton and a reaction-diffusion model. There are no significant effects of negative restitution as long as the slope of the restitution curve is less steep than -1. In media with slopes steeper than -1, the dynamics of spiral waves can change significantly: (1) the average restitution time jumps to a value where the slope of the restitution curve is about -1; (2) spiral waves can break up into turbulent patterns. We discuss a possible connection between such instabilities and fibrillation in atrial tissue.

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Citations

Jan 1, 2014·International Scholarly Research Notices·M Osman Gani, Toshiyuki Ogawa
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O BernusA V Panfilov
May 11, 2002·American Journal of Physiology. Heart and Circulatory Physiology·O BernusA V Panfilov
Oct 9, 2021·PLoS Computational Biology·Rupamanjari MajumderEberhard Bodenschatz

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