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Towards an efficient computational strategy for electro-activation in cardiac mechanics

Emilio Garcia-Blanco, Rogelio Ortigosa, Antonio Gil Orcid Logo, Javier Bonet

Computer Methods in Applied Mechanics and Engineering, Volume: 356, Pages: 220 - 260

Swansea University Author: Antonio Gil Orcid Logo

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DOI (Published version): 10.1016/j.cma.2019.06.042

Abstract

The computational modelling of the heart motion within a cardiac cycle is an extremely challenging problem due to (a) the complex multi-scale interaction that takes place between the electrophysiology and electrochemistry at cellular level and the macro-scale response of the heart muscle, and (b) th...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa50990
first_indexed 2019-07-02T14:55:43Z
last_indexed 2019-08-09T16:30:56Z
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spelling 2019-08-05T09:12:40.5072849 v2 50990 2019-07-02 Towards an efficient computational strategy for electro-activation in cardiac mechanics 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2019-07-02 ACEM The computational modelling of the heart motion within a cardiac cycle is an extremely challenging problem due to (a) the complex multi-scale interaction that takes place between the electrophysiology and electrochemistry at cellular level and the macro-scale response of the heart muscle, and (b) the large deformations and the strongly anisotropic and quasi-incompressible behaviour of the myocardium. These pose an extreme challenge to the scalability of electro-mechanical solvers due to the size and conditioning of the system of equations required to obtain accurate solutions, both in terms of wall deformation and transmembrane potential propagation. In the search towards an efficient modelling of electro-activation, this paper presents a coupled electromechanical computational framework whereby, first, we explore the use of an efficient stabilised low order tetrahedral Finite Element methodology and compare it against a very accurate super enhanced mixed formulation previously introduced by the authors in Garcia-Blanco et al. (2019) and, second, we exploit the use of tailor-made staggered and staggered linearised solvers in order to assess their feasibility against a fully monolithic approach. Through a comprehensive set of examples, culminating in a realistic ventricular geometry, we aim to put forward some suggestions regarding the level of discretisation and coupling required to ensure sufficiently reliable results yet with an affordable computational time. Journal Article Computer Methods in Applied Mechanics and Engineering 356 220 260 0045-7825 Cardiac electromechanics, Mixed formulations, Polyconvexity, Finite elements 1 11 2019 2019-11-01 10.1016/j.cma.2019.06.042 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2019-08-05T09:12:40.5072849 2019-07-02T09:13:32.0419986 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Emilio Garcia-Blanco 1 Rogelio Ortigosa 2 Antonio Gil 0000-0001-7753-1414 3 Javier Bonet 4 0050990-02072019093415.pdf garcia-blanco2019(2).pdf 2019-07-02T09:34:15.6830000 Output 33310493 application/pdf Accepted Manuscript true 2020-07-25T00:00:00.0000000 true eng
title Towards an efficient computational strategy for electro-activation in cardiac mechanics
spellingShingle Towards an efficient computational strategy for electro-activation in cardiac mechanics
Antonio Gil
title_short Towards an efficient computational strategy for electro-activation in cardiac mechanics
title_full Towards an efficient computational strategy for electro-activation in cardiac mechanics
title_fullStr Towards an efficient computational strategy for electro-activation in cardiac mechanics
title_full_unstemmed Towards an efficient computational strategy for electro-activation in cardiac mechanics
title_sort Towards an efficient computational strategy for electro-activation in cardiac mechanics
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Antonio Gil
author2 Emilio Garcia-Blanco
Rogelio Ortigosa
Antonio Gil
Javier Bonet
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 356
container_start_page 220
publishDate 2019
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2019.06.042
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description The computational modelling of the heart motion within a cardiac cycle is an extremely challenging problem due to (a) the complex multi-scale interaction that takes place between the electrophysiology and electrochemistry at cellular level and the macro-scale response of the heart muscle, and (b) the large deformations and the strongly anisotropic and quasi-incompressible behaviour of the myocardium. These pose an extreme challenge to the scalability of electro-mechanical solvers due to the size and conditioning of the system of equations required to obtain accurate solutions, both in terms of wall deformation and transmembrane potential propagation. In the search towards an efficient modelling of electro-activation, this paper presents a coupled electromechanical computational framework whereby, first, we explore the use of an efficient stabilised low order tetrahedral Finite Element methodology and compare it against a very accurate super enhanced mixed formulation previously introduced by the authors in Garcia-Blanco et al. (2019) and, second, we exploit the use of tailor-made staggered and staggered linearised solvers in order to assess their feasibility against a fully monolithic approach. Through a comprehensive set of examples, culminating in a realistic ventricular geometry, we aim to put forward some suggestions regarding the level of discretisation and coupling required to ensure sufficiently reliable results yet with an affordable computational time.
published_date 2019-11-01T07:46:12Z
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score 11.048149

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