Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans
Abstract
The spatiotemporal dynamics of cardiac tissue is an active area of research for biologists, physicists, and mathematicians. Of particular interest is the study of period-doubling bifurcations and chaos due to their link with cardiac arrhythmogenesis. In this paper we study the spatiotemporal dynamics of a recently developed model for calcium-driven alternans in a one dimensional cable of tissue. In particular, we observe in the cable coexistence of regions with chaotic and multi-periodic dynamics over wide ranges of parameters. We study these dynamics using global and local Lyapunov exponents and spatial trajectory correlations. Interestingly, near nodes -- or phase reversals -- low-periodic dynamics prevail, while away from the nodes the dynamics tend to be higher-periodic and eventually chaotic. Finally, we show that similar coexisting multi-periodic and chaotic dynamics can also be observed in a detailed ionic model.
Keywords
Cite
@article{arxiv.1408.4993,
title = {Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans},
author = {Per Sebastian Skardal and Juan G. Restrepo},
journal= {arXiv preprint arXiv:1408.4993},
year = {2014}
}