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Rate dynamics in integrate-and-fire neurons: two regimes and multiple
time scales
Todd W. Troyer
Department of Psychology
University of Maryland
Arguing from first principles, it is shown that firing rates in
integrate-and-fire neurons can be written as a product of two terms,
one governed chiefly by the membrane voltage, the other by the
synaptic current. The analysis also reveals that in the so-called
regular firing regime, rate encoding follows the mean synaptic
current, whereas the distribution of membrane voltage affects the
degree of phase synchrony induced by input transients. In the
randomly firing or "balanced" regime, both the variance and the mean
of the current and voltage distributions contribute, and rate encoding
is governed by five distinct time constants.