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# Gamma Oscillations Produce Binomial Spike Statistics for LIF Neurons

figure

posted on 2013-02-21, 11:24 authored by Naoki Masuda, Brent Doiron(A) Mean spike count plotted against static input signals s without (*A* = 0, thin line) and with (*A* = 0.3, thick line) gamma modulation. Note the knee in the curve for mean spike counts of approximately *μ* = 100 (= *N*, dashed line) when gamma modulation is present.

(B) Relation between the mean spike count and the spike-count variance for the simulated network without (squares) and with (circles) gamma modulation. Open and closed symbols correspond to *c* = 0 and *c* = 0.12, respectively. The dashed line corresponds to the mean-variance relation for a Poisson distributed spike count, while the solid line for a binomial distributed spike count. For a fixed *s*, we computed the spike-count statistics from 3,000 gamma cycles.