Publication: Stiffness Analysis of Cardiac Electrophysiological Models
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Stiffness Analysis of Cardiac Electrophysiological Models

- Article in a journal -
 

Area
Biomedicine, Ordinary Differential Equations

Author(s)
Raymond Spiteri , Ryan Dean

Published in
Annals of Biomedical Engineering

Year
2010

Publisher
Springer Netherlands

Abstract
The electrophysiology in a cardiac cell can be modeled as a system of ordinary differential equations (ODEs). The efficient solution of these systems is important because they must be solved many times as sub-problems of tissue- or organ-level simulations of cardiac electrophysiology. The wide variety of existing cardiac cell models encompasses many different properties, including the complexity of the model and the degree of stiffness. Accordingly, no single numerical method can be expected to be the most efficient for every model. In this article, we study the stiffness properties of a range of cardiac cell models and discuss the implications for their numerical solution. This analysis allows us to select or design numerical methods that are highly effective for a given model and hence outperform commonly used methods.

AD Tools
ADiMat

BibTeX
@ARTICLE{
         Spiteri2010SAo,
       author = "Spiteri, Raymond and Dean, Ryan",
       title = "Stiffness Analysis of Cardiac Electrophysiological Models",
       journal = "Annals of Biomedical Engineering",
       publisher = "Springer Netherlands",
       issn = "0090-6964",
       pages = "3592--3604",
       volume = "38",
       issue = "12",
       year = "2010",
       url = "http://dx.doi.org/10.1007/s10439-010-0100-9",
       doi = "10.1007/s10439-010-0100-9",
       keyword = "Biomedical and Life Sciences",
       affiliation = "Department of Computer Science, University of Saskatchewan, Saskatoon, SK S7N
         5C9, Canada",
       abstract = "The electrophysiology in a cardiac cell can be modeled as a system of ordinary
         differential equations (ODEs). The efficient solution of these systems is important because they
         must be solved many times as sub-problems of tissue- or organ-level simulations of cardiac
         electrophysiology. The wide variety of existing cardiac cell models encompasses many different
         properties, including the complexity of the model and the degree of stiffness. Accordingly, no
         single numerical method can be expected to be the most efficient for every model. In this article,
         we study the stiffness properties of a range of cardiac cell models and discuss the implications for
         their numerical solution. This analysis allows us to select or design numerical methods that are
         highly effective for a given model and hence outperform commonly used methods.",
       ad_area = "Biomedicine, Ordinary Differential Equations",
       ad_tools = "ADiMat"
}


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