A SIMPLIFIED MODEL OF PROPAGATION AND DISSIPATION OF EXCITATION FRONTS

DOI10.1142/S0218127403008958zbMath1061.92034OpenAlexW2060797439MaRDI QIDQ4655547

V. N. Biktashev

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403008958

zbMATH Keywords

front propagationfast-slow systemsasymptotic embeddingcardiac excitation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Medical applications (general) (92C50)

Related Items (6)

Traveling-wave solutions of the Kolmogorov-Petrovskii-Piskunov equation ⋮ Asymptotic analysis and analytical solutions of a model of cardiac excitation ⋮ DISSIPATION OF THE EXCITATION FRONT AS A MECHANISM OF SELF-TERMINATING ARRHYTHMIAS ⋮ THE ASYMPTOTIC STRUCTURE OF THE HODGKIN–HUXLEY EQUATIONS ⋮ VULNERABILITY TO REENTRY, AND DRIFT, STABILITY AND BREAKDOWN OF SPIRAL WAVES IN A LINEAR GRADIENT OF G_K IN A LUO–RUDY 1 VIRTUAL VENTRICULAR TISSUE ⋮ Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo

Cites Work

• On the movement of excitation wave breaks
• Nagumo's equation
• Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
• Propagation Phenomena in a Bistable Reaction-Diffusion System
• THE ASYMPTOTIC STRUCTURE OF THE HODGKIN–HUXLEY EQUATIONS
• Unnamed Item

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