Type
Conference PaperKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionExtreme Computing Research Center
Date
2017-03-18Online Publication Date
2017-03-18Print Publication Date
2017Permanent link to this record
http://hdl.handle.net/10754/623906
Metadata
Show full item recordAbstract
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.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 NatureConference/Event name
23rd International Conference on Domain Decomposition Methods, DD23Additional Links
http://link.springer.com/chapter/10.1007/978-3-319-52389-7_26ae974a485f413a2113503eed53cd6c53
10.1007/978-3-319-52389-7_26