The Mathematical Institute, University of Oxford, Eprints Archive

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

Pathmanathan, P. and Bernabeu, M O and Bordas, R. and Cooper, J and Garny, A. and Pitt-Francis, J. M. and Whiteley, J. P. and Gavaghan, D. J. (2010) A numerical guide to the solution of the bidomain equations of
cardiac electrophysiology.
Progress in Biophysics and Molecular Biology, 102 (No. 2-3). pp. 136-155.

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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 simulationsddiscretisation, ODE-solution, linear system solution, and parallelisationdis 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.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1034
Deposited By:Peter Hudston
Deposited On:07 Jan 2011 08:45
Last Modified:08 Oct 2012 12:39

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