Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation
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Publication:985256
DOI10.1016/j.mbs.2010.04.003zbMath1193.92024OpenAlexW1977738164WikidataQ45392991 ScholiaQ45392991MaRDI QIDQ985256
Miguel Ángel Fernández, Néjib Zemzemi
Publication date: 20 July 2010
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/inria-00411510/file/RR-7022.pdf
time discretizationelectrocardiogrambidomain equationscardiac electrophysiologyheart-torso couplingrobin transmission conditions
Probabilistic models, generic numerical methods in probability and statistics (65C20) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05) Physiology (general) (92C30)
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Cites Work
- Unnamed Item
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- A two-current model for the dynamics of cardiac membrane
- Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
- Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
- Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
- Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
- On the uniqueness of the square-root of a symmetric, positive-definite tensor
- The defect correction principle and discretization methods
- 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
- A numerically efficient model for simulation of defibrillation in an active bidomain sheet of myocardium
- 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
- Theory and practice of finite elements.
- 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
- Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
- A fully implicit parallel algorithm for simulating the non‐linear electrical activity of the heart
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
- Numerical solution of the bidomain equations
- Semi-Implicit Time-Discretization Schemes for the Bidomain Model
- A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
- Simulation of Electrophysiological Waves with an Unstructured Finite Element Method
- Computing the Electrical Activity in the Heart
- Galerkin Finite Element Methods for Parabolic Problems
- Fully automatic mesh generator for 3D domains of any shape
- Efficient solution of ordinary differential equations modeling electrical activity in cardiac cells
