Biophysical Journal 72: 2068-2074 (1997)
© 1997 the Biophysical Society

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Stochastic versions of the Hodgkin-Huxley equations.

School of Physics, Georgia Institute of Technology, Atlanta 30332-0430, USA. ron.fox@physics.gatech.edu

ABSTRACT

A Hodgkin-Huxley model algorithm for the numerical simulation of noise in neurons is contracted from a master equation description (cellular automoton) into a Langevin description. This reduction reduces the time required for a simulation by about two orders of magnitude. Earlier work is summarized, condensed, and made explicit to make the algorithm transparent and facilitate applications. Two approximate treatments are reported. An extension of this approach is presented that includes spatial dependence and the propagation of a noisy action potential along an axon.

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