Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model
It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating direction implicit (ADI) schemes to efficiently solve the nonlinear cardiac...
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2021
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| Online Access: | http://hdl.handle.net/11073/25362 |
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| _version_ | 1864513442538323968 |
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| author | Belhamadia, Youssef |
| author2 | Rammal, Zeinab |
| author2_role | author |
| author_facet | Belhamadia, Youssef Rammal, Zeinab |
| author_role | author |
| dc.creator.none.fl_str_mv | Belhamadia, Youssef Rammal, Zeinab |
| dc.date.none.fl_str_mv | 2021-01 2023-09-22T10:15:10Z 2023-09-22T10:15:10Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Belhamadia, Y., & Rammal, Z. (2021). Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model. In Computers in Biology and Medicine (Vol. 130, p. 104187). Elsevier BV. https://doi.org/10.1016/j.compbiomed.2020.104187 1879-0534 http://hdl.handle.net/11073/25362 10.1016/j.compbiomed.2020.104187 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Elsevier |
| dc.relation.none.fl_str_mv | https://doi.org/10.1016/j.compbiomed.2020.104187 |
| dc.subject.none.fl_str_mv | Cardiac monodomain model Alternating direction implicit (ADI) method Finite difference Aliev–panfilov model Mitchell–schaeffer model Spiral wave Scroll wave |
| dc.title.none.fl_str_mv | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating direction implicit (ADI) schemes to efficiently solve the nonlinear cardiac monodomain model. The main objective of the proposed methods is to reduce the computational time and memory consumed for solving electrocardiology models, compared to standard numerical methods. The proposed methods have second-order accuracy in both space and time while evaluating the ionic model only once per time-step. Several examples using regular wave, spiral wave reentry, and nonsymmetrical scroll wave are conducted, and the efficiency of the proposed ADI methods is compared to the standard semi-implicit Crank–Nicolson/Adams–Bashforth method. Large-scale two- and three-dimensional simulations are performed. |
| format | article |
| id | aus_cd9cf33d8e0aa9f0d21220d3bff685f3 |
| identifier_str_mv | Belhamadia, Y., & Rammal, Z. (2021). Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model. In Computers in Biology and Medicine (Vol. 130, p. 104187). Elsevier BV. https://doi.org/10.1016/j.compbiomed.2020.104187 1879-0534 10.1016/j.compbiomed.2020.104187 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/25362 |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Elsevier |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain modelBelhamadia, YoussefRammal, ZeinabCardiac monodomain modelAlternating direction implicit (ADI) methodFinite differenceAliev–panfilov modelMitchell–schaeffer modelSpiral waveScroll waveIt is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating direction implicit (ADI) schemes to efficiently solve the nonlinear cardiac monodomain model. The main objective of the proposed methods is to reduce the computational time and memory consumed for solving electrocardiology models, compared to standard numerical methods. The proposed methods have second-order accuracy in both space and time while evaluating the ionic model only once per time-step. Several examples using regular wave, spiral wave reentry, and nonsymmetrical scroll wave are conducted, and the efficiency of the proposed ADI methods is compared to the standard semi-implicit Crank–Nicolson/Adams–Bashforth method. Large-scale two- and three-dimensional simulations are performed.American University of SharjahElsevier2023-09-22T10:15:10Z2023-09-22T10:15:10Z2021-01Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBelhamadia, Y., & Rammal, Z. (2021). Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model. In Computers in Biology and Medicine (Vol. 130, p. 104187). Elsevier BV. https://doi.org/10.1016/j.compbiomed.2020.1041871879-0534http://hdl.handle.net/11073/2536210.1016/j.compbiomed.2020.104187en_UShttps://doi.org/10.1016/j.compbiomed.2020.104187oai:repository.aus.edu:11073/253622024-08-22T12:02:01Z |
| spellingShingle | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model Belhamadia, Youssef Cardiac monodomain model Alternating direction implicit (ADI) method Finite difference Aliev–panfilov model Mitchell–schaeffer model Spiral wave Scroll wave |
| status_str | publishedVersion |
| title | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| title_full | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| title_fullStr | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| title_full_unstemmed | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| title_short | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| title_sort | Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model |
| topic | Cardiac monodomain model Alternating direction implicit (ADI) method Finite difference Aliev–panfilov model Mitchell–schaeffer model Spiral wave Scroll wave |
| url | http://hdl.handle.net/11073/25362 |