J an 2 00 7 The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism

Abstract

The mechanism of transmission of an action potential along the axon of a neuron has been heavily studied by biophysicists for over fifty years, and several detailed models now exist to describe axonal behaviour. Older models have been purely deterministic, predicting behaviour by various representative quantities evolving according to differential equations… (More)

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