Mathematical and numerical methods for reaction-diffusion models in electrocardiology
作者： Piero Colli-Franzone , Luca F. Pavarino , Simone Scacchi
DOI: 10.1007/978-88-470-1935-5_5
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摘要: This paper presents a review of current mathematical and numerical models the bioelectrical activity in ventricular myocardium, describing cardiac cells excitability action-potential propagation tissue. The degenerate reaction-diffusion system called Bidomain model is introduced interpreted as macroscopic averaging cellular on periodic assembling myocytes. main theoretical results for are given. Various approximate based some relaxed approaches also considered, such Monodomain eikonal-curvature models. methods then reviewed. In particular, we focus isoparametric finite elements, semi-implicit time discretizations parallel iterative solver multilevel Schwarz preconditioned conjugate gradient method. finally applied to study excitation processes generated by virtual electrode response 3D orthotropic blocks myocardial
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