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Stefano Luccioli, Thomas Kreuz and Alessandro Torcini
We present a detailed analysis of the response of a single neuron subject to stochastic excitatory and inhibitory inputs generated by independent pre-synaptic neurons. In particular we examine the Hodgkin-Huxley model in various regimes: before the saddle-node bifurcation, in the coexistence regime and above the sub-critical Hopf bifurcation. The response of the neuron is examined by considering the distribution of the interspike-intervals and indicators borrowed from information theory. In the silent regime in the low noise limit the response of the neuron is driven by damped subthreshold oscillations, while for high noise amplitudes a clear coherence resonance is observed. This coherence resonance is identified and characterized in terms of conditional entropies of the output spike train. |