Noise and diversity effects in a homeostatic model of wake-sleep cycle

We study the effect of noise and heterogeneity on the response of a multi-neuron model of the wake-sleep cycle. The model is a generalization of the model of wake-sleep cycle introduced by S. Postnova, K. Voigt, and H.A. Braun [J. Biol. Rhythms 24, 523 (2009)], in which the homeostatic role of Orexin is taken into account. We introduce heterogeneity and noise currents in the couplings between neurons and study the response of the system to a periodic signal, varying the levels of diversity and noise. We find stochastic as well as diversity-induced resonance, i.e. the best system response, from the point of view of the wake-sleep cycle, corresponds to intermediate levels of neuronal heterogeneity and current fluctuations.

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