Low-dimensional dynamics in cardiac tissues: experiments and theory

Robert F. Gilmour Jr.; Mari Watanabe; Dante R. Chialvo M.D.

doi:10.1117/12.162709

5 November 1993 Low-dimensional dynamics in cardiac tissues: experiments and theory

Robert F. Gilmour Jr., Mari Watanabe, Dante R. Chialvo M.D.

Proceedings Volume 2036, Chaos in Biology and Medicine; (1993) https://doi.org/10.1117/12.162709
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Relevant beat-to-beat measures of local electrical responses during complex cardiac rhythms are interpreted as successive iterates of a low dimensional mapping. That simplified view is supported by previously reported experimental and numerical work. In that approximate theory, low dimensional dynamics (not restricted to chaos) also can be perturbed and controlled, much in the same way as in the Ott et al method for controlling chaos in nonlinear dynamical systems. In the problem at hand, which involves nonlinear waves and spatial degrees of freedom, the task is much more complicated and the phenomena less well understood. Recordings from an in vitro model of ventricular fibrillation are analyzed searching for deterministic recurrences in the local period of activation.

Citation Download Citation

Robert F. Gilmour Jr., Mari Watanabe, and Dante R. Chialvo M.D. "Low-dimensional dynamics in cardiac tissues: experiments and theory", Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); https://doi.org/10.1117/12.162709

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