Frequency of firing of Stein's model neuron with application to cells of the dorsal sphinocerebellar tract.

We present here the results of some exact calculations of the expected firing rates of neurons which receive random synaptic excitation or randomly arrivin g intracellularly injected short lasting current pulses. The assumptions of the model 27,28, insofar as it is used here are: (a) arrival of an EPSP or current pulse causes the membrane depolarization to increase by e mV, (b) the individual EPSPs arrive according to a Poisson process whose mean rate is 2 per second, (c) between occurrences of EPSPs the depolarization, which we denote by V(t), decays to zero (resting level) according to the equation