Anisotropic mesh adaptivity for cardiac electrophysiology
The simulation of cardiac electrophysiology requires small time steps and a fine mesh in order to resolve very sharp, but highly localized, wavefronts. The use of very high resolution meshes containing large numbers of nodes results in a high computational cost, both in terms of CPU hours and memory...
| Main Authors: | , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2010
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| _version_ | 1797055041902739456 |
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| author | Southern, J Gorman, G Piggott, MD Farrell, P Bernabeu, M Pitt-Francis, J |
| author_facet | Southern, J Gorman, G Piggott, MD Farrell, P Bernabeu, M Pitt-Francis, J |
| author_sort | Southern, J |
| collection | OXFORD |
| description | The simulation of cardiac electrophysiology requires small time steps and a fine mesh in order to resolve very sharp, but highly localized, wavefronts. The use of very high resolution meshes containing large numbers of nodes results in a high computational cost, both in terms of CPU hours and memory footprint. In this paper an anisotropic mesh adaptivity technique is implemented in the Chaste physiological simulation library in order to reduce the mesh resolution away from the depolarization front. Adapting the mesh results in a reduction in the number of degrees of freedom of the system to be solved by an order of magnitude during propagation and 2-3 orders of magnitude in the subsequent plateau phase. As a result, a computational speedup by a factor of between 5 and 12 has been obtained with no loss of accuracy, both in a slab-like geometry and for a realistic heart mesh with a spatial resolution of 0.125 mm. © 2010 Published by Elsevier Ltd. |
| first_indexed | 2024-03-06T19:05:53Z |
| format | Journal article |
| id | oxford-uuid:151f27fc-e509-44a8-8b67-60a7774c6b2d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:05:53Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:151f27fc-e509-44a8-8b67-60a7774c6b2d2022-03-26T10:23:37ZAnisotropic mesh adaptivity for cardiac electrophysiologyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:151f27fc-e509-44a8-8b67-60a7774c6b2dEnglishSymplectic Elements at Oxford2010Southern, JGorman, GPiggott, MDFarrell, PBernabeu, MPitt-Francis, JThe simulation of cardiac electrophysiology requires small time steps and a fine mesh in order to resolve very sharp, but highly localized, wavefronts. The use of very high resolution meshes containing large numbers of nodes results in a high computational cost, both in terms of CPU hours and memory footprint. In this paper an anisotropic mesh adaptivity technique is implemented in the Chaste physiological simulation library in order to reduce the mesh resolution away from the depolarization front. Adapting the mesh results in a reduction in the number of degrees of freedom of the system to be solved by an order of magnitude during propagation and 2-3 orders of magnitude in the subsequent plateau phase. As a result, a computational speedup by a factor of between 5 and 12 has been obtained with no loss of accuracy, both in a slab-like geometry and for a realistic heart mesh with a spatial resolution of 0.125 mm. © 2010 Published by Elsevier Ltd. |
| spellingShingle | Southern, J Gorman, G Piggott, MD Farrell, P Bernabeu, M Pitt-Francis, J Anisotropic mesh adaptivity for cardiac electrophysiology |
| title | Anisotropic mesh adaptivity for cardiac electrophysiology |
| title_full | Anisotropic mesh adaptivity for cardiac electrophysiology |
| title_fullStr | Anisotropic mesh adaptivity for cardiac electrophysiology |
| title_full_unstemmed | Anisotropic mesh adaptivity for cardiac electrophysiology |
| title_short | Anisotropic mesh adaptivity for cardiac electrophysiology |
| title_sort | anisotropic mesh adaptivity for cardiac electrophysiology |
| work_keys_str_mv | AT southernj anisotropicmeshadaptivityforcardiacelectrophysiology AT gormang anisotropicmeshadaptivityforcardiacelectrophysiology AT piggottmd anisotropicmeshadaptivityforcardiacelectrophysiology AT farrellp anisotropicmeshadaptivityforcardiacelectrophysiology AT bernabeum anisotropicmeshadaptivityforcardiacelectrophysiology AT pittfrancisj anisotropicmeshadaptivityforcardiacelectrophysiology |