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Journal Article

Period-doubling instability and memory in cardiac tissue


Bodenschatz,  E.
Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Fox, J. J., Bodenschatz, E., & Gilmour, R. F. (2002). Period-doubling instability and memory in cardiac tissue. Physical Review Letters, 89(13): 138101. doi:10.1103/PhysRevLett.89.138101.

Cite as: https://hdl.handle.net/21.11116/0000-0003-FD15-9
Theoretical studies have indicated that alternans (period-doubling instability) of action potential duration is associated with a restitution relation with a slope greater than or equal to1. 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.