An Asymptotic Two-Layer Monodomain Model of Cardiac Electrophysiology in the Atria: Derivation and Convergence

DOI10.1137/15M1016886zbMath1357.92020MaRDI QIDQ2967908

Jacques Henry, Simon Labarthe, Yves Coudière

Publication date: 9 March 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

surface modelasymptotic analysiscardiac modelingatrial model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30)

Related Items (3)

A two layers monodomain model of cardiac electrophysiology of the atria ⋮ Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria ⋮ Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
• A two layers monodomain model of cardiac electrophysiology of the atria
• Study of a few equations based on the Hodgkin-Huxley model
• A SURFACE-BASED ELECTROPHYSIOLOGY MODEL RELYING ON ASYMPTOTIC ANALYSIS AND MOTIVATED BY CARDIAC ATRIA MODELING
• Derivation of the Bidomain Equations for a Beating Heart with a General Microstructure

This page was built for publication: An Asymptotic Two-Layer Monodomain Model of Cardiac Electrophysiology in the Atria: Derivation and Convergence