Wave Propagation in Excitable Media with Randomly Distributed Obstacles

DOI10.1137/030602654zbMath1160.35445OpenAlexW2095484056MaRDI QIDQ4653987

K. H. W. J. Ten Tusscher, Alexander V. Panfilov

Publication date: 1 March 2005

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/030602654

zbMATH Keywords

excitable mediaspiral wavesobstaclesfibrosiscardiac arrhythmiaswave breakdiscontinuous conduction

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Physiology (general) (92C30) Biomechanical solid mechanics (74L15)

Related Items (8)

Influence of obstacles on the propagation speeds of nonlinear waves driven by curvature ⋮ Mathematical model of signal propagation in excitable media ⋮ Disruption and recovery of reaction-diffusion wavefronts colliding with obstacles ⋮ Hexagonal grid methods with applications to partial differential equations ⋮ Initiation of re-entry in an excitable medium: Structural investigation of cardiac tissue using a genetic algorithm ⋮ Spiral wave dynamics in excitable media with spherical geometries ⋮ Spiral wave unpinning facilitated by wave emitting sites in cardiac monolayers ⋮ Disruption and recovery of reaction-diffusion wavefronts interacting with concave, fractal, and soft obstacles

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