Optimal monodomain approximations of the bidomain equations used in cardiac electrophysiology

DOI10.1142/S0218202513500784zbMath1292.35148MaRDI QIDQ5417938

Yves Coudière, Myriam Rioux, Yves Bourgault

Publication date: 23 May 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Neumann boundary conditionsperiodic boundary conditionsmodeling errorpropagation speedmonodomain and bidomain models

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Traveling wave solutions (35C07) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (3)

On complex dynamics in a Purkinje and a ventricular cardiac cell model ⋮ Modelling and simulation for preclinical cardiac safety assessment of drugs with human iPSC-derived cardiomyocytes ⋮ On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements

Cites Work

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• Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
• Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
• Optimal monodomain approximations of the bidomain equations
• Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
• Mathematical physiology
• Mathematical modeling of the excitation process in myocardial tissue: Influence of fiber rotation on wavefront propagation and potential field
• Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
• Semi-Implicit Time-Discretization Schemes for the Bidomain Model
• Computing the Electrical Activity in the Heart

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