A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology.
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...
| Main Authors: | , , , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2010
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| _version_ | 1797105859357048832 |
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| author | Pathmanathan, P Bernabeu, M Bordas, R Cooper, J Garny, A Pitt-Francis, J Whiteley, J Gavaghan, D |
| author_facet | Pathmanathan, P Bernabeu, M Bordas, R Cooper, J Garny, A Pitt-Francis, J Whiteley, J Gavaghan, D |
| author_sort | Pathmanathan, P |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T06:53:21Z |
| format | Journal article |
| id | oxford-uuid:fd47fe04-977d-491f-b3e2-4e04c8ebc6cd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:53:21Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:fd47fe04-977d-491f-b3e2-4e04c8ebc6cd2022-03-27T13:27:46ZA numerical guide to the solution of the bi-domain equations of cardiac electrophysiology.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fd47fe04-977d-491f-b3e2-4e04c8ebc6cdEnglishSymplectic Elements at Oxford2010Pathmanathan, PBernabeu, MBordas, RCooper, JGarny, APitt-Francis, JWhiteley, JGavaghan, DSimulation 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. |
| spellingShingle | Pathmanathan, P Bernabeu, M Bordas, R Cooper, J Garny, A Pitt-Francis, J Whiteley, J Gavaghan, D A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. |
| title | A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. |
| title_full | A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. |
| title_fullStr | A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. |
| title_full_unstemmed | A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. |
| title_short | A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. |
| title_sort | numerical guide to the solution of the bi domain equations of cardiac electrophysiology |
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