Key result
Implicit finite element method enables accurate electrophysiological wave simulation using unstructured grids.
Why the study?
Most electrophysiological wave simulations in cardiac tissue use explicit finite difference methods on structured grids, but the impact of unstructured grid methods is not well studied.
This study proposes an implicit finite element method using unstructured grids for simulating cardiac electrophysiological waves.
Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.
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Bourgault et al. (2003) studied Electrophysiological waves in cardiac tissue. Implicit finite element method using unstructured grids vs. Explicit finite difference methods on structured grids was evaluated on Impact and numerical requirements of unstructured grid methods. An implicit finite element method using unstructured grids was proposed and investigated for simulating electrophysiological waves in an anisotropic bidomain model.
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