ArticleFrontiers in physiology2015
High-order finite element methods for cardiac monodomain simulations.
Article in Frontiers in physiology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Noninvasive Cardiac Electrical Activity Mapping Systems: Current Available Options.Reviews in cardiovascular medicine · 2025Review
- Forward-Solution Noninvasive Computational Arrhythmia Mapping: The VMAP Study.Circulation. Arrhythmia and electrophysiology · 2022Article
- Atlas-based methods for efficient characterization of patient-specific ventricular activation patterns.Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology · 2021Article
- Article
- Accelerating simulations of cardiac electrical dynamics through a multi-GPU platform and an optimized data structure.Concurrency and computation : practice & experience · 2020Article
- A framework for biomechanics simulations using four-chamber cardiac models.Journal of biomechanics · 2019Article
- Tissue-Specific Optical Mapping Models of Swine Atria Informed by Optical Coherence Tomography.Biophysical journal · 2018Article
- Perspectives on Sharing Models and Related Resources in Computational Biomechanics Research.Journal of biomechanical engineering · 2018Article
- Biomechanics Simulations Using Cubic Hermite Meshes with Extraordinary Nodes for Isogeometric Cardiac Modeling.Computer aided geometric design · 2016Article
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Authors and funding
8 authors.
Funding
Abstract
Computational modeling of tissue-scale cardiac electrophysiology requires numerically converged solutions to avoid spurious artifacts. The steep gradients inherent to cardiac action potential propagation necessitate fine spatial scales and therefore a substantial computational burden. The use of high-order interpolation methods has previously been proposed for these simulations due to their theoretical convergence advantage. In this study, we compare the convergence behavior of linear Lagrange, cubic Hermite, and the newly proposed cubic Hermite-style serendipity interpolation methods for finite element simulations of the cardiac monodomain equation. The high-order methods reach converged solutions with fewer degrees of freedom and longer element edge lengths than traditional linear elements. Additionally, we propose a dimensionless number, the cell Thiele modulus, as a more useful metric for determining solution convergence than element size alone. Finally, we use the cell Thiele modulus to examine convergence criteria for obtaining clinically useful activation patterns for applications such as patient-specific modeling where the total activation time is known a priori.
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