Autocorrelation function, variance of the firing rates and timescale of the network activity with external noise predicted by dynamical mean field theory.

A: Autocorrelation function of the firing rates for the network with adaptive neurons for three different noise intensities. Adaptation time constant τw = 1.25. B: Variance of the firing rate as a function of the adaptation time constant for two different adaption couplings gw. Increasing the adaptation time constant or decreasing the adaptation coupling increases the variance. ση = 0.15. C: Timescale of the firing rate as a function of the adaptation time constant, and three different noise levels. Parameters: gw = 0.5, and . D: Autocorrelation function of the firing rate for the network with synaptic transmission for three different noise levels. Synaptic time constant τs = 1.25. E: Variance of the firing rate as a function of the synaptic time constant, for three different external noise levels. Synaptic filtering reduces the variance. F: Timescale of the activity for the network with synaptic filtering and external noise.