Asymptotic approximation of an ionic model for cardiac restitution

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 tha...

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Bibliographic Details
Published in:Nonlinear dynamics 2008-01, Vol.51 (1-2), p.189-198
Main Authors: Schaeffer, David G., Ying, Wenjun, Zhao, Xiaopeng
Format: Article
Language:English
Subjects:
Asymptotic properties
Automotive Engineering
Classical Mechanics
Control
Dependence
Dynamical Systems
Engineering
Mapping
Mechanical Engineering
Original Paper
Restitution
Vibration
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-007-9202-9