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
2010 Progress in Biophysics and Molecular Biology  
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
more » ... of stimulus currents, compatibility conditions for the equations, the solution of singular linear systems, and convergence of the numerical scheme.
doi:10.1016/j.pbiomolbio.2010.05.006 pmid:20553747 fatcat:gilckmyltvcdzanvo6edi5qmqq