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

By Marco Patriarca, Emilio Hernandez-Garcia, Raul Toral
Poster - Trends in Complex SystemsSynchronization and Multiscale Complex Dynamics in the Brain International Workshop - November 02 - 06, 2009 Max-Planck-Institut für Physik komplexer Systeme Dresden &nbs 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), in which one A orexin­-producing neuronal unit interacts with a B unit representing pre­frontal cortex neurons.

   We generalize the PVB model to a model with N diversified A units interacting with one B­ unit and study the response of the system to a periodic circadian signal for different degrees of diversity. We show that there is an optimal level of diversity in the A-B coupling parameters at which the system response is more robust against variation of other parameters of the B or A neurons, thus providing an example of diversity­ induced resonance.