905 research outputs found
Self-Organized Supercriticality and Oscillations in Networks of Stochastic Spiking Neurons
Networks of stochastic spiking neurons are interesting models in the area of
Theoretical Neuroscience, presenting both continuous and discontinuous phase
transitions. Here we study fully connected networks analytically, numerically
and by computational simulations. The neurons have dynamic gains that enable
the network to converge to a stationary slightly supercritical state
(self-organized supercriticality or SOSC) in the presence of the continuous
transition. We show that SOSC, which presents power laws for neuronal
avalanches plus some large events, is robust as a function of the main
parameter of the neuronal gain dynamics. We discuss the possible applications
of the idea of SOSC to biological phenomena like epilepsy and dragon king
avalanches. We also find that neuronal gains can produce collective
oscillations that coexists with neuronal avalanches, with frequencies
compatible with characteristic brain rhythms.Comment: 16 pages, 16 figures divided into 7 figures in the articl
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