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

Handle URI:
http://hdl.handle.net/10754/597362
Title:
A numerical guide to the solution of the bidomain equations of cardiac electrophysiology
Authors:
Pathmanathan, Pras; Bernabeu, Miguel O.; Bordas, Rafel; Cooper, Jonathan; Garny, Alan; Pitt-Francis, Joe M.; Whiteley, Jonathan P.; Gavaghan, David J.
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.
Citation:
Pathmanathan 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.
Publisher:
Elsevier BV
Journal:
Progress in Biophysics and Molecular Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jun-2010
DOI:
10.1016/j.pbiomolbio.2010.05.006
PubMed ID:
20553747
Type:
Article
ISSN:
0079-6107
Sponsors:
PP 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).
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorPathmanathan, Prasen
dc.contributor.authorBernabeu, Miguel O.en
dc.contributor.authorBordas, Rafelen
dc.contributor.authorCooper, Jonathanen
dc.contributor.authorGarny, Alanen
dc.contributor.authorPitt-Francis, Joe M.en
dc.contributor.authorWhiteley, Jonathan P.en
dc.contributor.authorGavaghan, David J.en
dc.date.accessioned2016-02-25T12:31:37Zen
dc.date.available2016-02-25T12:31:37Zen
dc.date.issued2010-06en
dc.identifier.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.en
dc.identifier.issn0079-6107en
dc.identifier.pmid20553747en
dc.identifier.doi10.1016/j.pbiomolbio.2010.05.006en
dc.identifier.urihttp://hdl.handle.net/10754/597362en
dc.description.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.en
dc.description.sponsorshipPP 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).en
dc.publisherElsevier BVen
dc.subjectBidomainen
dc.subjectCardiac electrophysiologyen
dc.subjectComputationen
dc.titleA numerical guide to the solution of the bidomain equations of cardiac electrophysiologyen
dc.typeArticleen
dc.identifier.journalProgress in Biophysics and Molecular Biologyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionAnatomy and Genetics, Oxford OX1 3PT, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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