Stability analysis of the POD reduced order method for solving the bidomain model in cardiac electrophysiology

DOI10.1016/j.mbs.2015.12.005zbMath1332.92013OpenAlexW2288162432WikidataQ46505540 ScholiaQ46505540MaRDI QIDQ905830

Moncef Mahjoub, Jamila Lassoued, Cesare Corrado, Néjib Zemzemi

Publication date: 28 January 2016

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01245685/file/Paper-MBS-D-15-00248-Accepted-Mahjoub-BioSciences.pdf

zbMATH Keywords

stability analysisa priori estimatesproper orthogonal decompositionMitchell-Schaeffer modelbidomain equationreduced order method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Physiology (general) (92C30) Decomposition methods (49M27)

Related Items

Global Lipschitz stability of multiple space dependent ionic parameters for the MEA/hiPSC-CM assays ⋮ Carleman estimate for a linearized bidomain model in electrocardiology and its applications ⋮ Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method ⋮ 8 Reduced-order modeling for applications to the cardiovascular system

Uses Software

• Chaste

Cites Work

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