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

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.

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Publisher:
Elsevier
Publication date:
2010-01-01


UUID:
uuid:8a46ee8e-3c5f-491b-b212-c44fa0305d5e
Local pid:
oai:eprints.maths.ox.ac.uk:1034
Deposit date:
2011-05-20

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