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Efficient numerical methods for simulating cardiac electrophysiology with cellular resolution

  • The cardiac extracellular-membrane-intracellular (EMI) model enables the precise geometrical representation and resolution of aggregates of individual myocytes. As a result, it not only yields more accurate simulations of cardiac excitation compared to homogenized models but also presents the challenge of solving much larger problems. In this paper, we introduce recent advancements in three key areas: (i) the creation of artificial, yet realistic grids, (ii) efficient higher-order time stepping achieved by combining low-overhead spatial adaptivity on the algebraic level with progressive spectral deferred correction methods, and (iii) substructuring domain decomposition preconditioners tailored to address the complexities of heterogeneous problem structures. The efficiency gains of these proposed methods are demonstrated through numerical results on cardiac meshes of different sizes.
Metadaten
Verfasserangaben:Fatemeh Chegini, Algiane FroehlyORCiD, Ngoc Mai Monica HuynhORCiD, Luca PavarinoORCiD, Mark PotseORCiD, Simone Scacchi, Martin WeiserORCiD
Dokumentart:Konferenzbeitrag
Titel des übergeordneten Werkes (Englisch):10th Int. Conf. Computational Methods for Coupled Problems in Science and Engineering 2023
Jahr der Erstveröffentlichung:2023
URL:https://www.scipedia.com/public/2023f
DOI:https://doi.org/10.23967/c.coupled.2023.004
Lizenz (Deutsch):License LogoCreative Commons - CC BY-NC-SA - Namensnennung - Nicht kommerziell - Weitergabe unter gleichen Bedingungen 4.0 International
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