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Relationship between the PRC and the interaction function.

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posted on 2012-04-12, 01:17 authored by Josef Ladenbauer, Moritz Augustin, LieJune Shiau, Klaus Obermayer

A: PRC of an aEIF neuron (top) spiking at and interaction functions (bottom) obtained for synaptic conductances with three different sets of synaptic time constants: , (blue), , (green); , (magenta), and . The synaptic current associated with each pair of time constants (center) illustrates the three synaptic timescales relative to the period . Note that shown here is received by the neuron at the beginning of its ISI. B: PRC (solid black) of an aEIF neuron spiking at and excitatory synaptic currents with , (dashed blue) received at three different phases. Assuming the input comes from a second, synchronous neuron, these phases represent three different conduction delays , , and . Note that synaptic input received at an earlier phase causes a larger peak of , due to the smaller value of the membrane potential which leads to a larger difference to the synapse's reversal potential . C: Interaction functions for pairs of neurons with the PRC shown in B, coupled by excitatory synapses with , , and delays and . The values of at are highlighted by blue circles. The slopes of , in terms of both left and right sided limits and , indicate whether the synchronous states are stable or unstable (see main text).

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