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Role of diversity in a neuronal model of wake-sleep cycle

By Marco Patriarca, Emilio Hernandez-Garcia, Raul Toral
Poster, XVI Congreso de Fisica Estadistica, Huelva, 2009 - 09 - 10/12 2009

   We study a heterogeneous generalization of the neuronal model for the wake­sleep cycle introduced by S. Postnova, K. Voigt, and H. A. Braun (PVB) [Preprint, submitted]. In that model one (A) orexin­-producing neuronal unit interacts with another (B) unit representing e.g. one or a group of pre­frontal cortex neurons. The model reproduces the main features of the wake­sleep periodicity.
   We generalize the PVB model to an N­-unit model (with NA  units interacting with one B­unit) in which the A­-units are diversified from each other.  The response of the system to a periodic circadian signal is studied for different degrees of diversity and it is shown that the model system exhibits collective effects, such as diversity­induced resonance.