A numerical guide to the solution of the bi-domain 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

doi:10.1016/j.pbiomolbio.2010.05.006

A numerical guide to the solution of the bi-domain 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

Research output: Contribution to journal › Article › peer-review

Abstract

Simulation of cardiac electrical activity using the bi-domain equations can be a massively computationally demanding problem. This study provides a comprehensive guide to numerical bi-domain modelling. Each component of bi-domain simulations--discretization, ODE-solution, linear system solution, and parallelization--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.

Original language	English
Pages (from-to)	136-55
Number of pages	20
Journal	Progress in Biophysics and Molecular Biology
Volume	102
Issue number	2-3
Early online date	27 May 2010
DOIs	https://doi.org/10.1016/j.pbiomolbio.2010.05.006
Publication status	Published - 18 Jun 2010

Keywords / Materials (for Non-textual outputs)

Algorithms
Animals
Computer Simulation
Heart
Models, Cardiovascular

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10.1016/j.pbiomolbio.2010.05.006

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title = "A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology",

abstract = "Simulation of cardiac electrical activity using the bi-domain equations can be a massively computationally demanding problem. This study provides a comprehensive guide to numerical bi-domain modelling. Each component of bi-domain simulations--discretization, ODE-solution, linear system solution, and parallelization--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.",

keywords = "Algorithms, Animals, Computer Simulation, Heart, Models, Cardiovascular",

author = "Pras Pathmanathan and Bernabeu, {Miguel O} and Rafel Bordas and Jonathan Cooper and Alan Garny and Pitt-Francis, {Joe M} and Whiteley, {Jonathan P} and Gavaghan, {David J}",

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AU - Pathmanathan, Pras

AU - Bernabeu, Miguel O

AU - Bordas, Rafel

AU - Cooper, Jonathan

AU - Garny, Alan

AU - Pitt-Francis, Joe M

AU - Whiteley, Jonathan P

AU - Gavaghan, David J

PY - 2010/6/18

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N2 - Simulation of cardiac electrical activity using the bi-domain equations can be a massively computationally demanding problem. This study provides a comprehensive guide to numerical bi-domain modelling. Each component of bi-domain simulations--discretization, ODE-solution, linear system solution, and parallelization--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.

AB - Simulation of cardiac electrical activity using the bi-domain equations can be a massively computationally demanding problem. This study provides a comprehensive guide to numerical bi-domain modelling. Each component of bi-domain simulations--discretization, ODE-solution, linear system solution, and parallelization--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.

KW - Algorithms

KW - Animals

KW - Computer Simulation

KW - Heart

KW - Models, Cardiovascular

U2 - 10.1016/j.pbiomolbio.2010.05.006

DO - 10.1016/j.pbiomolbio.2010.05.006

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JO - Progress in Biophysics and Molecular Biology

JF - Progress in Biophysics and Molecular Biology

IS - 2-3

ER -

A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology

Abstract

Keywords / Materials (for Non-textual outputs)

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