A numerical guide to the solution of the bidomain equations of cardiac electrophysiology
Bernabeu, Miguel O.
Pitt-Francis, Joe M.
Whiteley, Jonathan P.
Gavaghan, David J.
KAUST Grant NumberKUK-C1-013-04
MetadataShow full item record
AbstractSimulation 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.
CitationPathmanathan P, Bernabeu MO, Bordas R, Cooper J, Garny A, et al. (2010) A numerical guide to the solution of the bidomain equations of cardiac electrophysiology. Progress in Biophysics and Molecular Biology 102: 136–155. Available: http://dx.doi.org/10.1016/j.pbiomolbio.2010.05.006.
SponsorsPP is supported by the EPSRC-funded OXMOS project New frontiers in the mathematics of solids, (grant reference EP/D048400/1). JC is supported by the European Community's Seventh Framework Programme [FP7/2007-2013] under grant agreement 223920 (VPH NoE). AG is funded through the preDiCT and euHeart projects (numbers 224381 and 224495, respectively) which are both supported by the European Commission, DG Information Society, through the Seventh Framework Programme of Information and Communication Technologies. JPW is supported by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
CollectionsPublications Acknowledging KAUST Support
- Soft tissue modelling of cardiac fibres for use in coupled mechano-electric simulations.
- Authors: Whiteley JP, Bishop MJ, Gavaghan DJ
- Issue date: 2007 Oct
- Stimulus protocol determines the most computationally efficient preconditioner for the bidomain equations.
- Authors: Bernabeu MO, Pathmanathan P, Pitt-Francis J, Kay D
- Issue date: 2010 Dec
- Computational techniques for solving the bidomain equations in three dimensions.
- Authors: Vigmond EJ, Aguel F, Trayanova NA
- Issue date: 2002 Nov
- An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso.
- Authors: Sundnes J, Lines GT, Tveito A
- Issue date: 2005 Apr
- An efficient numerical technique for the solution of the monodomain and bidomain equations.
- Authors: Whiteley JP
- Issue date: 2006 Nov