Double coherence resonance in neuronal models driven by correlated noise

Alessandro Torcini

Consiglio Nazionale delle Ricerche, Istituto dei SiStemi Complessi, Sesto Fiorentino (Firenze), Italy

We study the influence of correlations among stochastic excitatory or inhibitory inputs on the response of neuronal models. Recently, the analysis reported in [1] for a current-driven Fitz-Hugh Nagumo neuron has revealed that for any level of correlation the emitted signal exhibits a maximal degree of regularity at some finite noise intensity, i.e., a coherence resonance. Furthermore, for either inhibitory or excitatory correlated stimuli a Double Coherence Resonance (DCR) is observable. DCR refers to a (absolute) maximum coherence in the output occurring for an optimal combination of noise variance and correlation. We discuss the origin of these effects and the possibility to observe similar phenomena in more realistic setups. In particular, the response of conductance driven neuronal models of physiological interest (like the Hodgkin-Huxley neuron) subjected to correlated spike trains is analyzed.

[1] T. Kreuz, S. Luccioli, and A. Torcini, "Double coherence resonance in neuron models driven by discrete correlated noise", Phys. Rev. Lett. 97 (2006) 238101

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