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A new computational framework for electro-activation in cardiac mechanics

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

Computer Methods in Applied Mechanics and Engineering, Volume: 348, Pages: 796 - 845

Swansea University Author: Antonio Gil Orcid Logo

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DOI (Published version): 10.1016/j.cma.2019.01.042

Abstract

This paper presents a novel computational framework for the numerical simulation of the electromechanical response of the myocardium during the cardiac cycle. The paper presents the following main novelties. (1) Two new mixed formulations, tailor-made for active stress and active strain coupling app...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa48583
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spelling 2019-03-11T15:05:33.7405618 v2 48583 2019-01-28 A new computational framework for electro-activation in cardiac mechanics 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2019-01-28 CIVL This paper presents a novel computational framework for the numerical simulation of the electromechanical response of the myocardium during the cardiac cycle. The paper presents the following main novelties. (1) Two new mixed formulations, tailor-made for active stress and active strain coupling approaches, have been developed and used in conjunction with two different ionic models, namely Bueno-Orovio et al. (2008) and Ten Tusscher et al. (2004). Taking as a reference the mixed formulations introduced by Bonet et al. (2015) in the context of nonlinear elasticity, the proposed formulations include as unknown fields the geometry and the transmembrane potential (and possibly a Lagrange multiplier enforcing weakly the incompressibility constraint) as well as the deformation gradient tensor, its cofactor, its determinant, the gradient of the transmembrane potential and their respective work conjugates. The Finite Element implementation of these formulations is shown in this paper, where a static condensation procedure is presented in order to yield an extremely competitive computational approach. (2) A comprehensive and rigorous study of different ionic models (i.e Bueno-Orovio and Ten Tusscher) and electromechanical activation couplings (i.e active strain and active stress) has been carried out. (3) An analytical and numerical analysis of the possible loss of ellipticity and polyconvexity of one of the most widely used constitutive models in the context of cardiac mechanics is carried out in this paper, putting forward possible polyconvexifications of the existing model. (4) In addition, an invariant representation of Guccione’s constitutive model is proposed. Finally, a series of numerical examples are included in order to demonstrate the applicability and robustness of the proposed formulations. Journal Article Computer Methods in Applied Mechanics and Engineering 348 796 845 00457825 Cardiac electromechanics, Mixed formulations, Polyconvexity, Finite elements 31 12 2019 2019-12-31 10.1016/j.cma.2019.01.042 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-03-11T15:05:33.7405618 2019-01-28T13:22:44.2897249 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 Chun Hean Lee 4 Javier Bonet 5 0048583-28012019132448.pdf garcia-blanco2019.pdf 2019-01-28T13:24:48.5730000 Output 16002321 application/pdf Accepted Manuscript true 2020-02-12T00:00:00.0000000 true eng
title A new computational framework for electro-activation in cardiac mechanics
spellingShingle A new computational framework for electro-activation in cardiac mechanics
Antonio Gil
title_short A new computational framework for electro-activation in cardiac mechanics
title_full A new computational framework for electro-activation in cardiac mechanics
title_fullStr A new computational framework for electro-activation in cardiac mechanics
title_full_unstemmed A new computational framework for electro-activation in cardiac mechanics
title_sort A new computational framework 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
Chun Hean Lee
Javier Bonet
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 348
container_start_page 796
publishDate 2019
institution Swansea University
issn 00457825
doi_str_mv 10.1016/j.cma.2019.01.042
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 This paper presents a novel computational framework for the numerical simulation of the electromechanical response of the myocardium during the cardiac cycle. The paper presents the following main novelties. (1) Two new mixed formulations, tailor-made for active stress and active strain coupling approaches, have been developed and used in conjunction with two different ionic models, namely Bueno-Orovio et al. (2008) and Ten Tusscher et al. (2004). Taking as a reference the mixed formulations introduced by Bonet et al. (2015) in the context of nonlinear elasticity, the proposed formulations include as unknown fields the geometry and the transmembrane potential (and possibly a Lagrange multiplier enforcing weakly the incompressibility constraint) as well as the deformation gradient tensor, its cofactor, its determinant, the gradient of the transmembrane potential and their respective work conjugates. The Finite Element implementation of these formulations is shown in this paper, where a static condensation procedure is presented in order to yield an extremely competitive computational approach. (2) A comprehensive and rigorous study of different ionic models (i.e Bueno-Orovio and Ten Tusscher) and electromechanical activation couplings (i.e active strain and active stress) has been carried out. (3) An analytical and numerical analysis of the possible loss of ellipticity and polyconvexity of one of the most widely used constitutive models in the context of cardiac mechanics is carried out in this paper, putting forward possible polyconvexifications of the existing model. (4) In addition, an invariant representation of Guccione’s constitutive model is proposed. Finally, a series of numerical examples are included in order to demonstrate the applicability and robustness of the proposed formulations.
published_date 2019-12-31T03:59:06Z
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score 11.012678

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