Characteristic exponent for neuronal avalanche sizes is -3/2. A, IED versus IEIavg for original and rescaled grid sizes. Red, Average; black, individual cultures. B, Power laws at Δt = IEIavg for each culture have characteristic exponent α ≈ -1.5. Black, Number of electrodes; blue, LFP; average for all cultures. C, Average slopes for cultures (left) and acute slices (right). D, At Δt = IEIavg and corresponding IED, the slope α is independent of array size. Icons indicate resampled arrays at IED = 200, 400, and 600 μm. E, Resampled power laws for summed LFP values (same arrays as in D). F, Cutoff point of the power law is determined by the number of electrodes in the array (n = 15, 30, 60; IED = 200 μm). G, Reduction in inhibition in the presence of the GABAA receptor antagonist picrotoxin destroys the power law and renders the event size distribution bimodal. Note the presence of a large hump at higher values, indicating epileptic discharge. H, The initial slope of the event size distribution is significantly steeper (p < 0.05) in the presence of picrotoxin. Same color code as in G. I, Average event size distribution for refractory period set to 0 msec at Δt = 4 msec (three cultures). Broken line in red indicates slope of -3/2.