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A fully implicit finite element method for bidomain models of cardiac electrophysiology
Date
2012-01-01
Author
Dal, Hüsnü
Göktepe, Serdar
Metadata
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This work introduces a novel, unconditionally stable and fully coupled finite element method for the bidomain system of equations of cardiac electrophysiology. The transmembrane potential phi(i) - phi(e) and the extracellular potential phi(e) are treated as independent variables. To this end, the respective reaction-diffusion equations are recast into weak forms via a conventional isoparametric Galerkin approach. The resultant nonlinear set of residual equations is consistently linearised. The method results in a symmetric set of equations, which reduces the computational time significantly compared to the conventional solution algorithms. The proposed method is inherently modular and can be combined with phenomenological or ionic models across the cell membrane. The efficiency of the method and the comparison of its computational cost with respect to the simplified monodomain models are demonstrated through representative numerical examples.
Subject Keywords
Human-Computer Interaction
,
Bioengineering
,
Biomedical Engineering
,
General Medicine
,
Computer Science Applications
URI
https://hdl.handle.net/11511/38345
Journal
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
DOI
https://doi.org/10.1080/10255842.2011.554410
Collections
Department of Mechanical Engineering, Article
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H. Dal and S. Göktepe, “A fully implicit finite element method for bidomain models of cardiac electrophysiology,”
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
, pp. 645–656, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38345.