Period-doubling instability and memory in cardiac tissue |
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Authors: | Fox Jeffrey J Bodenschatz Eberhard Gilmour Robert F |
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Institution: | Department of Biomedical Sciences and Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA. |
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Abstract: | Theoretical studies have indicated that alternans (period-doubling instability) of action potential duration is associated with a restitution relation with a slope >or=1. However, recent experimental findings suggest that the slope of the restitution relation is not necessarily predictive of alternans. Here, we compared a return map memory model to action potential data from an ionic model and found that the memory model reproduced dynamics that could not be explained by a unidimensional restitution relation. Using linear stability analysis, we determined the onset of the alternans in the memory model and confirmed that the slope of the restitution curve was not predictive. |
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