Scalable BDDC Algorithms for Cardiac Electromechanical Coupling

L. F. Pavarino, S. Scacchi, C. Verdi, E. Zampieri, Stefano Zampini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIII
PublisherSpringer Nature
Pages261-268
Number of pages8
ISBN (Print)9783319523880
DOIs
StatePublished - Mar 18 2017

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