Fig. 6

Performance of the fifth equation, PRC version (heterogeneous inputs) with 5 ms delay. Simulations for three different combinations of mean PRC amplitudes. For each simulation a total of \(N_{\mathrm{syn}}=60\) different inputs were used, each with randomly chosen amplitudes \(a_{\mathrm{exc}}^{j}\) and \(a_{\mathrm{inh}}^{j}\) for \(\varDelta _{\mathrm{exc}}^{j}\) and \(\varDelta _{\mathrm{inh}}^{j}\). The firing rate for all inputs was \(r_{j} = 10\mbox{ Hz}\). The figures on the left correspond to a simulation where the mean of the PRC amplitudes is \(\langle a_{\mathrm{exc}}^{j}\rangle = 1/30\), \(\langle a_{\mathrm{inh}}^{j}\rangle = 2/30\), the figures in the middle correspond to \(\langle a_{\mathrm{exc}}^{j}\rangle = 2/30\), \(\langle a_{\mathrm{inh}}^{j}\rangle = 2/30\), and the figures on the right correspond to \(\langle a_{\mathrm{exc}}^{j}\rangle = 2/30\), \(\langle a_{\mathrm{inh}}^{j}\rangle = 1/30\). a: Stationary phase PDFs for the oscillator with feedforward inhibition (red), and with the fifth version of the equivalent PRCs (blue). Magenta dash-dotted lines indicate the phase PDF corresponding to intermediate iterations in the iterative procedure used. b: PRCs used in the simulation. Different colored lines show the equivalent PRCs for the first five synapses. c: Cross-correlogram between the output spike trains of the oscillators with feedforward inhibition and with the equivalent PRCs. The horizontal axis indicates time shift, and the vertical axis the normalized spike count. Normalization was done by dividing the bin spike counts between the total number of spikes in the output of the oscillator with two PRCs. d: Cross-correlograms between the output spike train of the oscillator with feedforward inhibition and a regular spiking oscillator matching its mean frequency. Normalization of the spike counts per bin was done as in c. e: Firing rate response of the oscillators with feedforward inhibition (red), and the equivalent PRCs (blue) to five different levels of input rates. Input rates range from 240 Hz to 1200 Hz in constant increments of 240 Hz