A COMPARATIVE STUDY OF THE HODGKIN–HUXLEY AND FITZHUGH–NAGUMO MODELS OF NEURON PULSE PROPAGATION

DOI10.1142/S0218127405014349zbMath1093.92026OpenAlexW2117252284MaRDI QIDQ5484818

Paul E. Phillipson, Peter Schuster

Publication date: 21 August 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127405014349

zbMATH Keywords

nonlinear dynamicsHodgkin-Huxley equationsneuron modelsFitzhugh-Nagumo equationsaction potentialsgating functions

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25)

Related Items (4)

ANALYTICAL DYNAMICS OF NEURON PULSE PROPAGATION ⋮ Desynchronization of thermosensitive neurons by using energy pumping ⋮ Hopf Bifurcation to Repetitive Activity in Nerve ⋮ Capacitor coupling induces synchronization between neural circuits

Cites Work

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• A note on the asymptotic reduction of the Hodgkin-Huxley equations for nerve impulses
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• White-noise stimulation of the Hodgkin-Huxley model
• Nagumo's equation
• Automatic Computation of Nerve Excitation—Detailed Corrections and Additions
• Existence and Stability of Multiple Impulse Solutions of a Nerve Equation
• THE ASYMPTOTIC STRUCTURE OF THE HODGKIN–HUXLEY EQUATIONS
• AN ANALYTIC PICTURE OF NEURON OSCILLATIONS
• Single and Multiple Pulse Waves for the FitzHugh–Nagumo
• Spiking Neuron Models
• Computation in a Single Neuron: Hodgkin and Huxley Revisited

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