Apprehending the effects of mechanical deformations in cardiac electrophysiology: A homogenization approach
From MaRDI portal
Publication:4973279
DOI10.1142/S0218202519500490zbMath1425.35197WikidataQ127210142 ScholiaQ127210142MaRDI QIDQ4973279
Philippe Moireau, Sebastien Imperiale, Jean-Frédéric Gerbeau, Annabelle Collin, Dominique Chapelle
Publication date: 3 December 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) Biomechanical solid mechanics (74L15) Chemical and reactive effects in solid mechanics (74F25) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A two-current model for the dynamics of cardiac membrane
- Homogenization of an electrophysiological model for a strand of cardiac myocytes with gap-junctional and electric-field coupling
- An eikonal-curvature equation for action potential propagation in myocardium
- Mathematical physiology
- Mathematical models and numerical methods for the forward problem in cardiac electrophysi\-ol\-o\-gy
- Minimal model for human ventricular action potentials in tissue
- Computational cardiology. Modeling of anatomy, electrophysiology, and mechanics.
- Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function
- Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells
- Modeling cardiac mechano-electrical feedback using reaction-diffusion-mechanics systems
- Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
- Pacemakers in a reaction-diffusion mechanics system
- Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model
- Derivation of the Bidomain Equations for a Beating Heart with a General Microstructure
- A multiscale approach to modelling electrochemical processes occurring across the cell membrane with application to transmission of action potentials
- A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Three models of non periodic fibrous materials obtained by homogenization
- Mathematical analysis and 2-scale convergence of a heterogeneous microscopic bidomain model
- Mathematical Modeling in Continuum Mechanics
- New development in freefem++
- Scalable Cardiac Electro-Mechanical Solvers and Reentry Dynamics
- Computational mechanics of the heart.
- Shape optimization by the homogenization method
