A numerical guide to the solution of the bidomain equations of cardiac electrophysiology

Pras Pathmanathan, Miguel O. Bernabeu, Rafel Bordas, Jonathan Cooper, Alan Garny, Joe M. Pitt-Francis, Jonathan P. Whiteley, David J. Gavaghan

Research output: Contribution to journalArticlepeer-review

56 Scopus citations

Abstract

Simulation of cardiac electrical activity using the bidomain equations can be a massively computationally demanding problem. This study provides a comprehensive guide to numerical bidomain modelling. Each component of bidomain simulations-discretisation, ODE-solution, linear system solution, and parallelisation-is discussed, and previously-used methods are reviewed, new methods are proposed, and issues which cause particular difficulty are highlighted. Particular attention is paid to the choice of stimulus currents, compatibility conditions for the equations, the solution of singular linear systems, and convergence of the numerical scheme. © 2010 Elsevier Ltd.
Original languageEnglish (US)
Pages (from-to)136-155
Number of pages20
JournalProgress in Biophysics and Molecular Biology
Volume102
Issue number2-3
DOIs
StatePublished - Jun 2010
Externally publishedYes

Fingerprint Dive into the research topics of 'A numerical guide to the solution of the bidomain equations of cardiac electrophysiology'. Together they form a unique fingerprint.

Cite this