A SURFACE-BASED ELECTROPHYSIOLOGY MODEL RELYING ON ASYMPTOTIC ANALYSIS AND MOTIVATED BY CARDIAC ATRIA MODELING

DOI10.1142/S0218202513500450zbMath1277.92004OpenAlexW1964538000MaRDI QIDQ2868749

Jean-Frédéric Gerbeau, Annabelle Collin, Dominique Chapelle

Publication date: 19 December 2013

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

Full work available at URL: https://doi.org/10.1142/s0218202513500450

zbMATH Keywords

thin domainsasymptotic analysiscardiac modelingcomputational electrophysiology

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Biophysics (92C05) Physiology (general) (92C30) Computational methods for problems pertaining to biology (92-08)

Related Items (9)

A Luenberger observer for reaction-diffusion models with front position data ⋮ A two layers monodomain model of cardiac electrophysiology of the atria ⋮ An Asymptotic Two-Layer Monodomain Model of Cardiac Electrophysiology in the Atria: Derivation and Convergence ⋮ A curvilinear isogeometric framework for the electromechanical activation of thin muscular tissues ⋮ Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria ⋮ STATISTICAL ASSESSMENT AND CALIBRATION OF NUMERICAL ECG MODELS ⋮ Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation ⋮ Isogeometric approximation of cardiac electrophysiology models on surfaces: an accuracy study with application to the human left atrium ⋮ Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function

Cites Work

• A two-current model for the dynamics of cardiac membrane
• Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
• Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
• 3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL
• The Finite Element Analysis of Shells - Fundamentals
• Computational modeling of cardiac electrophysiology: A novel finite element approach
• About the transmembrane voltage potential of a biological cell in time-harmonic regime.
• Computing the Electrical Activity in the Heart

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