The potassium A-current, low firing rates and rebound excitation in Hodgkin-Huxley models

DOI10.1007/BF02458299zbMath0835.92010OpenAlexW2039725533WikidataQ46924208 ScholiaQ46924208MaRDI QIDQ1907957

John Rinzel, Maureen E. Rush

Publication date: 25 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf02458299

zbMATH Keywords

averaging methodsHodgkin-Huxley modelfiring rateaction potentialshomoclinic bifurcation of periodic solutionspotassium A-current

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Biophysics (92C05) Physiology (general) (92C30)

Related Items (7)

Modeling excitability in cerebellar stellate cells: temporal changes in threshold, latency and frequency of firing ⋮ Role of hyperpolarization-activated conductances in the lateral superior olive: a modeling study ⋮ How adaptation makes low firing rates robust ⋮ A-Type K⁺ Current Can Act as a Trigger for Bursting in the Absence of a Slow Variable ⋮ Big homoclinic orbit bifurcation underlying post-inhibitory rebound spike and a novel threshold curve of a neuron ⋮ NEURAL EXCITABILITY, SPIKING AND BURSTING ⋮ Unnamed Item

Uses Software

• AUTO

Cites Work

• Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
• Singularities of vector fields
• Degenerate Hopf Bifurcation and Nerve Impulse. Part II
• The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
• Unnamed Item

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