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Mentions: The spike-time difference map (STDM) formalism of  uses the phase response curves (PRCs) of two identical coupled cells to predict the existence and stability of synchronized and other steady-state firing patterns. The STDM is an iterate of the PRC which gives the amount by which the time between corresponding spikes in the two cells changes from one cycle to the next. By taking the mean value of the STDM and dividing by the period, which gives essentially the mean "rate" at which the spike time difference is changing, we find a prominent band of maxima in the same frequency region as the synchronization time minima (Fig. 1). Like the synchronization time minimization, the existence and location of this region of maxima appears to be relatively insensitive to synaptic coupling strength and excitatory versus inhibitory coupling. Thus, the STDM may provide the basis for a semi-analytical approach for finding the regions of parameter space most favorable for synchronization time.
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