Asymptotic analysis and analytical solutions of a model of cardiac excitation

DOI10.1007/s11538-007-9267-0zbMath1139.92006arXivq-bio/0607047OpenAlexW2129514645WikidataQ51898999 ScholiaQ51898999MaRDI QIDQ932040

V. N. Biktashev, R. Suckley, Yu. E. Elkin, Radostin D. Simitev

Publication date: 8 July 2008

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

Full work available at URL: https://arxiv.org/abs/q-bio/0607047

zbMATH Keywords

ordinary differential equationssingular perturbationsasymptotic methodsexcitabilityaction potential

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Biophysics (92C05) Physiology (general) (92C30)

Related Items (3)

Asymptotics of conduction velocity restitution in models of electrical excitation in the heart ⋮ Fast-slow asymptotics for a Markov chain model of fast sodium current ⋮ Model selection via marginal likelihood estimation by combining thermodynamic integration and gradient matching

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular perturbation theory of traveling waves in excitable media (A review)
• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Numerical experiments in a modified Beeler-Reuter cable model: initiating fast (Na) and slow (Ca) waves
• Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
• Spiral breakup in model equations of action potential propagation in cardiac tissue
• A SIMPLIFIED MODEL OF PROPAGATION AND DISSIPATION OF EXCITATION FRONTS
• DISSIPATION OF THE EXCITATION FRONT AS A MECHANISM OF SELF-TERMINATING ARRHYTHMIAS
• THE ASYMPTOTIC STRUCTURE OF THE HODGKIN–HUXLEY EQUATIONS
• Computational modelling of biological systems: tools and visions
• Asymptotic properties of mathematical models of excitability

This page was built for publication: Asymptotic analysis and analytical solutions of a model of cardiac excitation