A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
From MaRDI portal
Publication:3535796
DOI10.1093/amrx/abn002zbMath1177.35236OpenAlexW2169621160MaRDI QIDQ3535796
Néjib Zemzemi, Jean-Frédéric Gerbeau, Muriel Boulakia, Miguel Ángel Fernández
Publication date: 14 November 2008
Published in: Applied Mathematics Research eXpress (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/amrx/abn002
PDEs in connection with optics and electromagnetic theory (35Q60) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65)
Related Items (20)
Existence and regularity of shock-effected solitons for nonlinear problems in electro-cardiac-physiology ⋮ Numerical analysis for an optimal control of bidomain-bath model ⋮ Well-posedness for a modified bidomain model describing bioelectric activity in damaged heart tissues ⋮ Cardiac memory phenomenon, time-fractional order nonlinear system and bidomain-torso type model in electrocardiology ⋮ Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. I: Modeling and well-posedness ⋮ Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model ⋮ Optimal control of the bidomain system. II: Uniqueness and regularity theorems for weak solutions ⋮ Optimal control of the bidomain system (I): the monodomain approximation with the Rogers-McCulloch model ⋮ An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology ⋮ Preconditioning the bidomain model with almost linear complexity ⋮ Stability analysis of the POD reduced order method for solving the bidomain model in cardiac electrophysiology ⋮ Modified bidomain model with passive periodic heterogeneities ⋮ Evolution of mathematical models of cardiomyocyte electrophysiology ⋮ Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation ⋮ Stochastically forced cardiac bidomain model ⋮ An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology ⋮ Coupled lattice Boltzmann simulation method for bidomain type models in cardiac electrophysiology with multiple time-delays ⋮ Apprehending the effects of mechanical deformations in cardiac electrophysiology: A homogenization approach ⋮ Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function ⋮ The Cardiac bidomain model and homogenization
This page was built for publication: A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
