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The response of the Hodgkin-Huxley neuronal model subjected to stochasticuncorrelated spike trains originating from a large number of inhibitory andexcitatory post-synaptic potentials is analyzed in detail. The model isexamined in its three fundamental dynamical regimes: silence, bistability andrepetitive firing. Its response is characterized in terms of statisticalindicators (interspike-interval distributions and their first moments) as wellas of dynamical indicators (autocorrelation functions and conditionalentropies). In the silent regime, the coexistence of two different coherenceresonances is revealed: one occurs at quite low noise and is related to thestimulation of subthreshold oscillations around the rest state; the second one(at intermediate noise variance) is associated with the regularization of thesequence of spikes emitted by the neuron. Bistability in the low noise limitcan be interpreted in terms of jumping processes across barriers activated bystochastic fluctuations. In the repetitive firing regime a maximization ofincoherence is observed at finite noise variance. Finally, the mechanismsresponsible for spike triggering in the various regimes are clearly identified.Comment: 14 pages, 24 figures in eps, submitted to Physical Review

Dynamical response of the Hodgkin-Huxley model in the high-input regime