Modified Hodgkin-Huxley Equations Arising from Mesoscopic Voltage-Gated Processes

DOI10.1142/S123016121250014XzbMath1395.92026OpenAlexW2100168350MaRDI QIDQ3166723

Mauricio Tejo A.

Publication date: 15 October 2012

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s123016121250014x

zbMATH Keywords

Hodgkin-Huxley equationsvoltage-gated ion channelsmacroscopic voltage equation

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (1)

Stochastic nonlinear equations describing the mesoscopic voltage-gated ion channels

Cites Work

• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism
• The propagation of chaos for interacting individuals in a large population
• Fluid limit theorems for stochastic hybrid systems with application to neuron models
• Central limit theorems for local martingales

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