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Asymptotic approximation of an ionic model for cardiac restitution

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Duke University, Durham, NC, 27708, USA

    David G. Schaeffer

  2. Center for Nonlinear and Complex Systems, Duke University, Durham, NC, 27708, USA

    David G. Schaeffer & Xiaopeng Zhao

  3. Department of Biomedical Engineering, Duke University, Durham, NC, 27708, USA

    Wenjun Ying & Xiaopeng Zhao

Authors
  1. David G. Schaeffer
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  2. Wenjun Ying
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  3. Xiaopeng Zhao
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Correspondence to David G. Schaeffer.

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Schaeffer, D.G., Ying, W. & Zhao, X. Asymptotic approximation of an ionic model for cardiac restitution. Nonlinear Dyn 51, 189–198 (2008). https://doi.org/10.1007/s11071-007-9202-9

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  • DOI: https://doi.org/10.1007/s11071-007-9202-9

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