Singular limit of a mean-field model of the neocortex with explicit nonequilibrium potential

N. MARTINEZ; R. R. DEZA; J. I. DEZA

Granada

Congreso; XV Granada Seminar on computational and statistical physics; 2019

J. Mejías et al, PLoS ONE 5, e13651 (2010) modeled the observed complex coherent up?down voltage transitions in the neocortex via bistable rate dynamics and temporally correlated stochastic synaptic current. Both a mean-field analysis and numerical simulations show the appearance of (synaptic-noise driven) complex transitions between high and low neural activity states, with permanence times in the up state distributed according to a power law.The experimentally observed large fluctuation in up and down permanence times (which cannot be explained by either static or noiseless synapses) is shown to stem from sufficiently noisy dynamical synapses and sufficiently large recovery times.