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Zbl 1168.92003
Belhamadia, Youssef; Fortin, André; Bourgault, Yves
Towards accurate numerical method for monodomain models using a realistic heart geometry. (English)
[J] Math. Biosci. 220, No. 2, 89-101 (2009). ISSN 0025-5564

Summary: The simulation of cardiac electrophysiological waves is known to require extremely fine meshes, limiting the applicability of current numerical models to simplified geometries and ionic models. An accurate numerical method based on a time-dependent anisotropic remeshing strategy is presented for simulating three-dimensional cardiac electrophysiological waves. The proposed numerical method greatly reduces the number of elements and enhances the accuracy of the prediction of the electrical wave fronts. Illustrations of the performance and the accuracy of the proposed method are presented using a realistic heart geometry. Qualitative and quantitative results show that the proposed methodology is far superior to the uniform mesh methods commonly used in cardiac electrophysiology.

MSC 2000:: *92C05 Biophysics
65C20 Models (numerical methods)
78A70 Biological appl. of optics and electromagnetic theory

Keywords: monodomain model; finite elements method; anisotropic mesh adaptation; cardiac electrophysiology; Fitzhugh-Nagumo and Aliev-Panfilov ionic models

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