Dynamics of competing stochastic excitatory-inhibitory networks
Thursday, May 16, 2013 - 9:00am - 9:50am
In several mammalian species, the durations of sleep episodes are exponentially distributed, while the duration of wake episodes is sub-exponentially distributed. Motivated by the experimental finding that mutually-inhibitory neuronal networks regulate switching between the behavioral states of sleep and wake, we have constructed a model in which to explore possible mechanisms by which the observed statistical properties of state durations may emerge from the neuronal interactions. The model consists of two excitatory neuronal networks coupled by inhibitory inter-connections; each network is a random graph, and each node fires at state-dependent Poisson rates. The full model alternates between states in which one network is highly active while the other exhibits diminished activity; these states can be regarded as sleep or wake depending upon which network is more active. The dynamics of the model will be discussed in the context of other recent stochastic neuronal network models.