An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology Article Swipe
Dennis Ogiermann
,
Daniel Balzani
,
Luigi E. Perotti
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.cma.2024.116806
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.cma.2024.116806
We present a new explicit local space–time adaptive framework to decrease the time required for monodomain simulations for cardiac electrophysiology. Based on the localized structure of the steep activation wavefront in solutions to monodomain problems, the proposed framework adopts small time steps and a tree-based adaptive mesh refinement scheme only in the regions necessary to resolve these localized structures. The time step and mesh adaptation selection process is fully controlled by a combination of local error indicators. The main contributions of this work consist in the introduction of a primal symmetric interior penalty formulation of the monodomain model and an efficient algorithmic strategy to manage local time stepping for its temporal discretization. In a first serial implementation of this framework, we report that our new scheme is between 50% and 95% faster (in wall clock time) compared to an optimized implementation of a commonly used numerical scheme without significant loss of solution accuracy, showing that this framework is a promising candidate to accelerate monodomain simulations of cardiac electrophysiology. Preliminary studies of a parallel version of the proposed scheme alongside a novel load balancing strategy are found in the appendix and show that, although the scaling of the proposed scheme is limited, the new strategy remains faster than an optimized implementation of a classic operator splitting scheme.
Related Topics
Concepts
Discretization
Cardiac electrophysiology
Wavefront
Scaling
Computer science
Algorithm
Adaptive mesh refinement
Scheme (mathematics)
Process (computing)
Mathematical optimization
Mathematics
Computational science
Electrophysiology
Physics
Geometry
Mathematical analysis
Optics
Medicine
Internal medicine
Operating system
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.cma.2024.116806
- OA Status
- hybrid
- Cited By
- 3
- References
- 108
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391596158
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W4391596158Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.cma.2024.116806Digital Object Identifier
- Title
-
An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiologyWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-02-07Full publication date if available
- Authors
-
Dennis Ogiermann, Daniel Balzani, Luigi E. PerottiList of authors in order
- Landing page
-
https://doi.org/10.1016/j.cma.2024.116806Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1016/j.cma.2024.116806Direct OA link when available
- Concepts
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Discretization, Cardiac electrophysiology, Wavefront, Scaling, Computer science, Algorithm, Adaptive mesh refinement, Scheme (mathematics), Process (computing), Mathematical optimization, Mathematics, Computational science, Electrophysiology, Physics, Geometry, Mathematical analysis, Optics, Medicine, Internal medicine, Operating systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
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3Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1, 2024: 2Per-year citation counts (last 5 years)
- References (count)
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108Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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