Reaction-diffusion models of threshold and waveblock in heterogeneous excitable media

DOI10.1016/j.amc.2011.12.092zbMath1254.65097OpenAlexW2069314133MaRDI QIDQ434683

John G. Alford

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.092

zbMATH Keywords

stabilitynumerical examplereaction-diffusion equationheterogeneous excitable mediawaveblock

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

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• Wave-Blocking Phenomena in Bistable Reaction-Diffusion Systems
• On the Propagation of Calcium Waves in an Inhomogeneous Medium
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Wave-Block in Excitable Media Due to Regions of Depressed Excitability
• The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue
• Coupled Cell Model of Border Zone Arrhythmias

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