Models of unidirectional propagation in heterogeneous excitable media

DOI10.1016/j.amc.2010.02.029zbMath1187.92032OpenAlexW2088570894MaRDI QIDQ972184

John G. Alford

Publication date: 25 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.029

zbMATH Keywords

excitable mediaheterogeneous parametersdifferential equation modelsunidirectional propagation

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05) Cell biology (92C37)

Related Items (1)

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

Cites Work

• Theory of reentrant excitation in a ring of cardiac tissue
• Rotating wave solutions of the FitzHugh-Nagumo equations
• Nerve impulse propagation in a branching nerve system: a simple model
• Unidirectional waves on rings: Models for chiral preference of circumnutating plants
• Nagumo's equation
• 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
• Understanding Propagation Failure as a Slow Capture Near a Limit Point
• Reflected Waves in an Inhomogeneous Excitable Medium
• Coupled Cell Model of Border Zone Arrhythmias

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