Conference Paper/Proceeding/Abstract 1314 views
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics
Emilio Garcia Blanco,
Rogelio Ortigosa Martinez,
Clare Wood 
,
Antonio Gil ,
Javier Bonet
,
Antonio Gil ,
Javier Bonet
Proceedings of the 55th Annual Technical meeting of the Society of Engineering Science, 10th October 2018, Madrid, Spain
Swansea University Authors:
Emilio Garcia Blanco, Rogelio Ortigosa Martinez, Clare Wood , Antonio Gil , Javier Bonet
Abstract
Cardiovascular diseases, such as heart infarction or dysrhythmia, represent the main cause of death in the world and its prevalence is more significant in developed countries. Research in cardiology is not only devoted to build a body of knowledge about the physiology of the heart but also to contri...
| Published in: | Proceedings of the 55th Annual Technical meeting of the Society of Engineering Science, 10th October 2018, Madrid, Spain |
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Madrid, Spain
55th Annual Technical meeting of the Society of Engineering Science
2018
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http://www.ses2018.org/ |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa46066 |
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Research in cardiology is not only devoted to build a body of knowledge about the physiology of the heart but also to contribute to cardiovascular medicine, offering patients more advanced treatments and personalised diagnosis. Regarding the latter aspect, the computational modelling of the complex physical phenomena occurring in the human heart has become an area of increasing scientific interest over the last decade. This facilitates the better understanding of the mechanisms driving the behaviour of the system from both physiological and pathological standpoints and provides augmented diagnostic tools for clinicians. This paper is related to the first aspect, namely mimicking the heart’s physiological behaviour, which can be modelled by means of well-posed mathematical equations predicting the evolution of the cardiac action potential and cell dynamics. The aforementioned coupling phenomenon can be succinctly explained in two steps: first, the linear momentum equation is strongly linked to the hasty uprising of the electric potential through cardiac fibres activation, which can be mathematically characterised as fibre shortening, known as active strain [3] or internal fibre stresses, namely active stress [4]; secondly, the potential wave evolution is predicted by the reactiondiffusion equation which source term is described by two widely accepted ionic models describing the cellular ion exchange, known as Minimal model [3] and Ten-Tusscher model [4]. From the numerical standpoint, the series of papers published by Gil and Ortigosa [1,2] introduces a polyconvex computational framework, overcoming the shortcomings of classical displacement-based formulations that has been developed for the first time in this context. Specifically, the concepts of extremely large deformations, fibre orientation anisotropy, nearly incompressible behaviour and realistic three-dimensional geometries have been considered. Finally, an extensive set of numerical examples is presented to assess the robustness, applicability and accuracy of the proposed formulation.REFERENCES[1] Bonet, J., Gil, A.J. and Ortigosa, R. “A computational framework for polyconvex large strain elasticity”. Computer Methods in Applied Mechanics and Engineering, Vol. 283, pp. 1061-1094 (2015).[2] Gil, A.J. and Ortigosa, R. “A new framework for large strain electromechanics based on convex multi-variable strain energies: Variational formulation and material characterisation”, CMAME, Vol. 302, pp. 293-328 (2016).[3] Rossi, S., Lassila, T., Ruiz-Baier, R. and Quarteroni, A. “Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiacelectromechanics”. European Journal of Mechanics-A/Solids, Vol. 48, pp. 129-142 (2014).[4] Wong J., Göktepe, S. and Kuhl, E. “Computational modelling of chemo-electro-mechanical coupling: A novel monolithic finite element approach”. International Journal for NumericalMethods in Biomedical Engineering, Vol. 29 (10), pp. 1104-1133 (2013).</abstract><type>Conference Paper/Proceeding/Abstract</type><journal>Proceedings of the 55th Annual Technical meeting of the Society of Engineering Science, 10th October 2018, Madrid, Spain</journal><volume/><journalNumber/><paginationStart/><paginationEnd/><publisher>55th Annual Technical meeting of the Society of Engineering Science</publisher><placeOfPublication>Madrid, Spain</placeOfPublication><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords/><publishedDay>10</publishedDay><publishedMonth>10</publishedMonth><publishedYear>2018</publishedYear><publishedDate>2018-10-10</publishedDate><doi/><url>http://www.ses2018.org/</url><notes/><college>COLLEGE NANME</college><department>Science and Engineering - Faculty</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>FGSEN</DepartmentCode><institution>Swansea University</institution><apcterm/><funders/><projectreference/><lastEdited>2022-12-18T09:56:58.1651817</lastEdited><Created>2018-11-23T17:42:50.5241629</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>Emilio</firstname><surname>Garcia Blanco</surname><order>1</order></author><author><firstname>Rogelio</firstname><surname>Ortigosa Martinez</surname><order>2</order></author><author><firstname>Clare</firstname><surname>Wood</surname><orcid>0000-0003-0001-0121</orcid><order>3</order></author><author><firstname>Antonio</firstname><surname>Gil</surname><orcid>0000-0001-7753-1414</orcid><order>4</order></author><author><firstname>Javier</firstname><surname>Bonet</surname><orcid>0000-0002-0430-5181</orcid><order>5</order></author></authors><documents/><OutputDurs/></rfc1807> |
| spelling |
2022-12-18T09:56:58.1651817 v2 46066 2018-11-23 A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics 390d65783b3d69393b85ba8adfe688ec Emilio Garcia Blanco Emilio Garcia Blanco true false 80e7ab60860604f60530676f5037d225 Rogelio Ortigosa Martinez Rogelio Ortigosa Martinez true false 97bede20cc14db118af8abfbb687e895 0000-0003-0001-0121 Clare Wood Clare Wood true false 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false b7398206d59a9dd2f8d07a552cfd351a 0000-0002-0430-5181 Javier Bonet Javier Bonet true false 2018-11-23 FGSEN Cardiovascular diseases, such as heart infarction or dysrhythmia, represent the main cause of death in the world and its prevalence is more significant in developed countries. Research in cardiology is not only devoted to build a body of knowledge about the physiology of the heart but also to contribute to cardiovascular medicine, offering patients more advanced treatments and personalised diagnosis. Regarding the latter aspect, the computational modelling of the complex physical phenomena occurring in the human heart has become an area of increasing scientific interest over the last decade. This facilitates the better understanding of the mechanisms driving the behaviour of the system from both physiological and pathological standpoints and provides augmented diagnostic tools for clinicians. This paper is related to the first aspect, namely mimicking the heart’s physiological behaviour, which can be modelled by means of well-posed mathematical equations predicting the evolution of the cardiac action potential and cell dynamics. The aforementioned coupling phenomenon can be succinctly explained in two steps: first, the linear momentum equation is strongly linked to the hasty uprising of the electric potential through cardiac fibres activation, which can be mathematically characterised as fibre shortening, known as active strain [3] or internal fibre stresses, namely active stress [4]; secondly, the potential wave evolution is predicted by the reactiondiffusion equation which source term is described by two widely accepted ionic models describing the cellular ion exchange, known as Minimal model [3] and Ten-Tusscher model [4]. From the numerical standpoint, the series of papers published by Gil and Ortigosa [1,2] introduces a polyconvex computational framework, overcoming the shortcomings of classical displacement-based formulations that has been developed for the first time in this context. Specifically, the concepts of extremely large deformations, fibre orientation anisotropy, nearly incompressible behaviour and realistic three-dimensional geometries have been considered. Finally, an extensive set of numerical examples is presented to assess the robustness, applicability and accuracy of the proposed formulation.REFERENCES[1] Bonet, J., Gil, A.J. and Ortigosa, R. “A computational framework for polyconvex large strain elasticity”. Computer Methods in Applied Mechanics and Engineering, Vol. 283, pp. 1061-1094 (2015).[2] Gil, A.J. and Ortigosa, R. “A new framework for large strain electromechanics based on convex multi-variable strain energies: Variational formulation and material characterisation”, CMAME, Vol. 302, pp. 293-328 (2016).[3] Rossi, S., Lassila, T., Ruiz-Baier, R. and Quarteroni, A. “Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiacelectromechanics”. European Journal of Mechanics-A/Solids, Vol. 48, pp. 129-142 (2014).[4] Wong J., Göktepe, S. and Kuhl, E. “Computational modelling of chemo-electro-mechanical coupling: A novel monolithic finite element approach”. International Journal for NumericalMethods in Biomedical Engineering, Vol. 29 (10), pp. 1104-1133 (2013). Conference Paper/Proceeding/Abstract Proceedings of the 55th Annual Technical meeting of the Society of Engineering Science, 10th October 2018, Madrid, Spain 55th Annual Technical meeting of the Society of Engineering Science Madrid, Spain 10 10 2018 2018-10-10 http://www.ses2018.org/ COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2022-12-18T09:56:58.1651817 2018-11-23T17:42:50.5241629 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Emilio Garcia Blanco 1 Rogelio Ortigosa Martinez 2 Clare Wood 0000-0003-0001-0121 3 Antonio Gil 0000-0001-7753-1414 4 Javier Bonet 0000-0002-0430-5181 5 |
| title |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics |
| spellingShingle |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics Emilio Garcia Blanco Rogelio Ortigosa Martinez Clare Wood Antonio Gil Javier Bonet |
| title_short |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics |
| title_full |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics |
| title_fullStr |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics |
| title_full_unstemmed |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics |
| title_sort |
A Polyconvex Computational Formulation for Electro-Activation in Cardiac Mechanics |
| author_id_str_mv |
390d65783b3d69393b85ba8adfe688ec 80e7ab60860604f60530676f5037d225 97bede20cc14db118af8abfbb687e895 1f5666865d1c6de9469f8b7d0d6d30e2 b7398206d59a9dd2f8d07a552cfd351a |
| author_id_fullname_str_mv |
390d65783b3d69393b85ba8adfe688ec_***_Emilio Garcia Blanco 80e7ab60860604f60530676f5037d225_***_Rogelio Ortigosa Martinez 97bede20cc14db118af8abfbb687e895_***_Clare Wood 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil b7398206d59a9dd2f8d07a552cfd351a_***_Javier Bonet |
| author |
Emilio Garcia Blanco Rogelio Ortigosa Martinez Clare Wood Antonio Gil Javier Bonet |
| author2 |
Emilio Garcia Blanco Rogelio Ortigosa Martinez Clare Wood Antonio Gil Javier Bonet |
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Conference Paper/Proceeding/Abstract |
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Proceedings of the 55th Annual Technical meeting of the Society of Engineering Science, 10th October 2018, Madrid, Spain |
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55th Annual Technical meeting of the Society of Engineering Science |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised |
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Cardiovascular diseases, such as heart infarction or dysrhythmia, represent the main cause of death in the world and its prevalence is more significant in developed countries. Research in cardiology is not only devoted to build a body of knowledge about the physiology of the heart but also to contribute to cardiovascular medicine, offering patients more advanced treatments and personalised diagnosis. Regarding the latter aspect, the computational modelling of the complex physical phenomena occurring in the human heart has become an area of increasing scientific interest over the last decade. This facilitates the better understanding of the mechanisms driving the behaviour of the system from both physiological and pathological standpoints and provides augmented diagnostic tools for clinicians. This paper is related to the first aspect, namely mimicking the heart’s physiological behaviour, which can be modelled by means of well-posed mathematical equations predicting the evolution of the cardiac action potential and cell dynamics. The aforementioned coupling phenomenon can be succinctly explained in two steps: first, the linear momentum equation is strongly linked to the hasty uprising of the electric potential through cardiac fibres activation, which can be mathematically characterised as fibre shortening, known as active strain [3] or internal fibre stresses, namely active stress [4]; secondly, the potential wave evolution is predicted by the reactiondiffusion equation which source term is described by two widely accepted ionic models describing the cellular ion exchange, known as Minimal model [3] and Ten-Tusscher model [4]. From the numerical standpoint, the series of papers published by Gil and Ortigosa [1,2] introduces a polyconvex computational framework, overcoming the shortcomings of classical displacement-based formulations that has been developed for the first time in this context. Specifically, the concepts of extremely large deformations, fibre orientation anisotropy, nearly incompressible behaviour and realistic three-dimensional geometries have been considered. Finally, an extensive set of numerical examples is presented to assess the robustness, applicability and accuracy of the proposed formulation.REFERENCES[1] Bonet, J., Gil, A.J. and Ortigosa, R. “A computational framework for polyconvex large strain elasticity”. Computer Methods in Applied Mechanics and Engineering, Vol. 283, pp. 1061-1094 (2015).[2] Gil, A.J. and Ortigosa, R. “A new framework for large strain electromechanics based on convex multi-variable strain energies: Variational formulation and material characterisation”, CMAME, Vol. 302, pp. 293-328 (2016).[3] Rossi, S., Lassila, T., Ruiz-Baier, R. and Quarteroni, A. “Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiacelectromechanics”. European Journal of Mechanics-A/Solids, Vol. 48, pp. 129-142 (2014).[4] Wong J., Göktepe, S. and Kuhl, E. “Computational modelling of chemo-electro-mechanical coupling: A novel monolithic finite element approach”. International Journal for NumericalMethods in Biomedical Engineering, Vol. 29 (10), pp. 1104-1133 (2013). |
| published_date |
2018-10-10T03:57:47Z |
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1763752927234621440 |
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11.036706 |