Two and three dimensional reductions of the Hodgkin-Huxley system: Separation of time scales and bifurcation schemes

DOI10.1007/BF00200990zbMath0757.92009WikidataQ41095377 ScholiaQ41095377MaRDI QIDQ1202319

Claude Meunier

Publication date: 23 February 1993

Published in: Biological Cybernetics (Search for Journal in Brave)

zbMATH Keywords

evolution equationbifurcationsodium activationcurrent-amplitude relationcurrent-frequency relationtwo-dimensional reductions of the Hodgkin-Huxley equations

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (3)

Reduction of a channel-based model for a stomatogastric ganglion LP neuron ⋮ A model based rule for selecting spiking thresholds in neuron models ⋮ Structure-Preserving Numerical Integrators for Hodgkin--Huxley-Type Systems

Cites Work

• Bifurcation phenomena in FitzHugh's nerve conduction equations
• Introduction to Theoretical Neurobiology
• Mathematical Aspects of Hodgkin-Huxley Neural Theory

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