Scalable BDDC Algorithms for Cardiac Electromechanical Coupling

Handle URI:
http://hdl.handle.net/10754/623906
Title:
Scalable BDDC Algorithms for Cardiac Electromechanical Coupling
Authors:
Pavarino, L. F.; Scacchi, S.; Verdi, C.; Zampieri, E.; Zampini, Stefano ( 0000-0002-0435-0433 )
Abstract:
The spread of electrical excitation in the cardiac muscle and the subsequent contraction-relaxation process is quantitatively described by the cardiac electromechanical coupling model. The electrical model consists of the Bidomain system, which is a degenerate parabolic system of two nonlinear partial differential equations (PDEs) of reaction-diffusion type, describing the evolution in space and time of the intra- and extracellular electric potentials. The PDEs are coupled through the reaction term with a stiff system of ordinary differential equations (ODEs), the membrane model, which describes the flow of the ionic currents through the cellular membrane and the dynamics of the associated gating variables. The mechanical model consists of the quasi-static finite elasticity system, modeling the cardiac tissue as a nearly-incompressible transversely isotropic hyperelastic material, and coupled with a system of ODEs accounting for the development of biochemically generated active force.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Extreme Computing Research Center
Citation:
Pavarino LF, Scacchi S, Verdi C, Zampieri E, Zampini S (2017) Scalable BDDC Algorithms for Cardiac Electromechanical Coupling. Domain Decomposition Methods in Science and Engineering XXIII: 261–268. Available: http://dx.doi.org/10.1007/978-3-319-52389-7_26.
Publisher:
Springer Nature
Journal:
Domain Decomposition Methods in Science and Engineering XXIII
Conference/Event name:
23rd International Conference on Domain Decomposition Methods, DD23
Issue Date:
17-Mar-2017
DOI:
10.1007/978-3-319-52389-7_26
Type:
Conference Paper
ISSN:
1439-7358; 2197-7100
Additional Links:
http://link.springer.com/chapter/10.1007/978-3-319-52389-7_26
Appears in Collections:
Conference Papers; Extreme Computing Research Center; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorPavarino, L. F.en
dc.contributor.authorScacchi, S.en
dc.contributor.authorVerdi, C.en
dc.contributor.authorZampieri, E.en
dc.contributor.authorZampini, Stefanoen
dc.date.accessioned2017-05-31T11:23:13Z-
dc.date.available2017-05-31T11:23:13Z-
dc.date.issued2017-03-17en
dc.identifier.citationPavarino LF, Scacchi S, Verdi C, Zampieri E, Zampini S (2017) Scalable BDDC Algorithms for Cardiac Electromechanical Coupling. Domain Decomposition Methods in Science and Engineering XXIII: 261–268. Available: http://dx.doi.org/10.1007/978-3-319-52389-7_26.en
dc.identifier.issn1439-7358en
dc.identifier.issn2197-7100en
dc.identifier.doi10.1007/978-3-319-52389-7_26en
dc.identifier.urihttp://hdl.handle.net/10754/623906-
dc.description.abstractThe spread of electrical excitation in the cardiac muscle and the subsequent contraction-relaxation process is quantitatively described by the cardiac electromechanical coupling model. The electrical model consists of the Bidomain system, which is a degenerate parabolic system of two nonlinear partial differential equations (PDEs) of reaction-diffusion type, describing the evolution in space and time of the intra- and extracellular electric potentials. The PDEs are coupled through the reaction term with a stiff system of ordinary differential equations (ODEs), the membrane model, which describes the flow of the ionic currents through the cellular membrane and the dynamics of the associated gating variables. The mechanical model consists of the quasi-static finite elasticity system, modeling the cardiac tissue as a nearly-incompressible transversely isotropic hyperelastic material, and coupled with a system of ODEs accounting for the development of biochemically generated active force.en
dc.publisherSpringer Natureen
dc.relation.urlhttp://link.springer.com/chapter/10.1007/978-3-319-52389-7_26en
dc.titleScalable BDDC Algorithms for Cardiac Electromechanical Couplingen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentExtreme Computing Research Centeren
dc.identifier.journalDomain Decomposition Methods in Science and Engineering XXIIIen
dc.conference.date2015-07-06 to 2015-07-10en
dc.conference.name23rd International Conference on Domain Decomposition Methods, DD23en
dc.conference.locationJeju Island, KORen
dc.contributor.institutionDipartimento di Matematica, Università di Pavia, Pavia, Italyen
dc.contributor.institutionDipartimento di Matematica, Università degli Studi di Milano, Milano, Italyen
kaust.authorZampini, Stefanoen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.