On the formation of circulating patterns of excitation in anisotropic excitable media

DOI10.1007/BF00280171zbMath0631.92004WikidataQ52577129 ScholiaQ52577129MaRDI QIDQ1095060

James P. Keener

Publication date: 1988

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

myocardiumanisotropic coupling of identical cellsanisotropic excitable mediadirection of fastest propagationfibrillation onsetformation of circulating patterns of excitationhighest safety factormodel of excitable mediapermanently rotating wavespremature current stimulusreentrant selfsustained wave of excitationvulnerable phase

Mathematics Subject Classification ID

Medical applications (general) (92C50) Discrete version of topics in analysis (39A12) Physiological, cellular and medical topics (92Cxx)

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A mathematical model for the vulnerable phase in myocardium ⋮ Singular perturbation theory of traveling waves in excitable media (A review) ⋮ Well-posedness for fractional Cauchy problems involving discrete convolution operators ⋮ Lattice Dynamical Systems Associated with a Fractional Laplacian ⋮ Existence of traveling wavefront solutions for the discrete Nagumo equation ⋮ Heart Muscle as a Reaction–Diffusion Medium: The Roles of Electric Potential Diffusion, Activation Front Curvature, and Anisotropy ⋮ How the anisotropy of the intracellular and extracellular conductivities influences stimulation of cardiac muscle ⋮ Excitation wave propagation within narrow pathways: Geometric configurations facilitating unidirectional block and reentry ⋮ Initiation and stability of reentry in two coupled excitable fibers ⋮ Propagation phenomena in systems of excitable cells --- Solution of an inverse problem

Cites Work

• Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells