Spike Timing Reliability in a Stochastic Hodgkin-Huxley Model
The Hodgkin-Huxley (HH) formulation  describes the excitable nature of neurons, through a set of deterministic differential equations for the neuron’s ion conductances. These conductances, which range continuously from zero to some maximum, are made out of individual ion channels which are inherently discrete and stochastic. Correspondingly, the electrical activity of nerve cells would be more accurately described by a set of biophysically-inspired stochastic equations, rather than by deterministic equations.
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