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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.
Author:Fatemeh Chegini, Algiane FroehlyORCiD, Ngoc Mai Monica HuynhORCiD, Luca PavarinoORCiD, Mark PotseORCiD, Simone Scacchi, Martin WeiserORCiD
Document Type:In Proceedings
Parent Title (English):10th Int. Conf. Computational Methods for Coupled Problems in Science and Engineering 2023
Year of first publication:2023
Licence (German):License LogoCreative Commons - CC BY-NC-SA - Namensnennung - Nicht kommerziell - Weitergabe unter gleichen Bedingungen 4.0 International
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