Asymptotic approximation of an ionic model for cardiac restitution.

Nonlinear Dyn

Department of Mathematics, Duke University, Durham, North Carolina 27708, USA.

Published: January 2008

Cardiac restitution has been described both in terms of ionic models-systems of ODE's-and in terms of mapping models. While the former provide a more fundamental description, the latter are more flexible in trying to fit experimental data. Recently we proposed a two-dimensional mapping that accurately reproduces restitution behavior of a paced cardiac patch, including rate dependence and accommodation. By contrast, with previous models only a qualitative, not a quantitative, fit had been possible. In this paper, a theoretical foundation for the new mapping is established by deriving it as an asymptotic limit of an idealized ionic model.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2605722PMC
http://dx.doi.org/10.1007/s11071-007-9202-9DOI Listing

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