Efficient numerical methods for simulating cardiac electrophysiology with cellular resolution
POTSE, Mark
IHU-LIRYC
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]
< Réduire
IHU-LIRYC
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]
Institut de Mathématiques de Bordeaux [IMB]
Langue
en
Communication dans un congrès
Ce document a été publié dans
COUPLED 2023 - 10th International Conference on Computational Methods for Coupled Problems in Science and Engineering, 2023-06-05, Chania.
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
EMI model
high-order time integration
spectral deferred correction
algebraic adaptivity
multirate integration scheme
ladder methods
BDDC preconditioner
Projet Européen
Numerical modeling of cardiac electrophysiology at the cellular scale
Origine
Importé de halUnités de recherche