Cardiac electro-mechanical activity in a deforming human cardiac tissue: modeling, existence-uniqueness, finite element computation and application to multiple ischemic disease
DOI10.1007/S00285-022-01717-3zbMath1492.35375OpenAlexW4211036837WikidataQ113905406 ScholiaQ113905406MaRDI QIDQ2113516
Publication date: 14 March 2022
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-022-01717-3
finite element methodexistence-uniquenesselectro-mechanical couplingcoupled PDE-ODEsFaedo Galerkin methodmultiple cardiac ischemia
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Nonlinear higher-order PDEs (35G20) Biophysics (92C05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Systems of nonlinear higher-order PDEs (35G50)
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