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Fig. 2 | The Journal of Mathematical Neuroscience (JMN)

Fig. 2

From: Stochastic Synchronization in Purkinje Cells with Feedforward Inhibition Could Be Studied with Equivalent Phase-Response Curves

Fig. 2

Comparison of oscillators with two and one PRCs when matching phase PDFs. Simulations for three different amplitude combinations of \(\varDelta _{\mathrm{exc}}\) and \(\varDelta _{\mathrm{inh}}\). For all rows, the figures on the left correspond to \(a_{\mathrm{exc}} = 1/30\), \(a_{\mathrm{inh}} = 2/30\), figures on the middle correspond to \(a_{\mathrm{exc}} = 2/30\), \(a_{\mathrm{inh}} = 2/30\), and figures on the right correspond to \(a_{\mathrm{exc}} = 2/30\), \(a_{\mathrm{inh}} = 1/30\). The input rate for all simulations in a–d was \(r = 600\mbox{ Hz}\). a: Stationary phase PDFs for oscillators with feedforward inhibition (red) and with their equivalent PRC (blue). b: PRCs used in the simulation. \(\varDelta _{\mathrm{exc}}\) (black), \(\varDelta _{\mathrm{inh}}\) (red), Δ (blue). c: Cross-correlograms of the oscillators’ output spike trains with one and two PRCs. The vertical axis corresponds to normalized spike count per time bin, and the horizontal axis to time shift. 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 of the output spike train of the oscillator with two PRCs and a periodic spike train with the same mean frequency. Normalization was done as in c. e: Firing rate response of the oscillators with two (red) and one (blue) PRCs to five different levels of input rates. Input rates range from 240 Hz to 1200 Hz in constant increments of 240 Hz

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