Towards accurate numerical method for monodomain models using a realistic heart geometry
DOI10.1016/j.mbs.2009.05.003zbMath1168.92003OpenAlexW2075169113WikidataQ51829839 ScholiaQ51829839MaRDI QIDQ839149
Youssef Belhamadia, André Fortin, Yves Bourgault
Publication date: 1 September 2009
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2009.05.003
finite elements methodanisotropic mesh adaptationcardiac electrophysiologymonodomain modelFitzhugh-Nagumo and Aliev-Panfilov ionic models
Probabilistic models, generic numerical methods in probability and statistics (65C20) Biological applications of optics and electromagnetic theory (78A70) Biophysics (92C05)
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Cites Work
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- Operator splitting and adaptive mesh refinement for the Luo-Rudy I model
- Modeling impulse propagation and extracellular potential distributions in anisotropic cardiac tissue using a finite volume element discretization
- Three-dimensional anisotropic mesh adaptation for phase change problems
- Effects of transmural electrical heterogeneities and electrotonic interactions on the dispersion of cardiac repolarization and action potential duration: A simulation study
- Linear algebraic transformations of the bidomain equations: Implications for numerical methods
- Modeling the electrical activity of the heart: A bidomain model of the ventricles embedded in a torso
- Mathematical models and numerical methods for the forward problem in cardiac electrophysi\-ol\-o\-gy
- Anisotropic mesh adaptation for the solution of the Stefan problem.
- Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process
- An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso
- A generalized finite difference method for modeling cardiac electrical activation on arbitrary, irregular computational meshes
- Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
- A numerical method for the solution of the bidomain equations in cardiac tissue
- A fully implicit parallel algorithm for simulating the non‐linear electrical activity of the heart
- Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology
- Semi-Implicit Time-Discretization Schemes for the Bidomain Model
- Transient fixed point‐based unstructured mesh adaptation
- Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part I: general principles
- Preconditioning Techniques for the Bidomain Equations
- Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part II. Structured grids
- Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part III. Unstructured meshes
- A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
- Simulation of Electrophysiological Waves with an Unstructured Finite Element Method
- Efficient simulation of three-dimensional anisotropic cardiac tissue using an adaptive mesh refinement method
- Meandering of spiral waves in anisotropic cardiac tissue
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