A fully implicit finite element method for bidomain models of cardiac electrophysiology

Date

2012-01-01

Author

Dal, Hüsnü
Göktepe, Serdar

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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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Citation Formats

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.