Fig. 6: Spatiotemporal dynamics of gamma patterns in the circuit model.

a Snapshots of gamma-band LFP amplitudes at two timepoints. Black dots show the positions of gamma bursts in the model circuit. Amplitude patterns are overlaid with representative trajectories (red lines) of the center of mass of the burst patterns over the previous 30 ms (left) and 270 ms (right), respectively. b Mean square displacement (MSD) of a typical spiking pattern as a function of time increment. Red line shows a fitted power function of MSD, \({MSD}\left(\tau \right)\propto \,{\tau }^{\beta }\), with the diffusion exponent β = 1.56. c Distribution of diffusion exponent β for spiking pattern in simulation data (1000s); mean value is 1.25. d CCPD of the step lengths (1D model) of the activity pattern in the transition state (State II) (blue circles). Red line indicates a fitted truncated power distribution with \(\lambda\) = 1.32. For comparison, a normal distribution (black dashed line) with mean \({\rm{\mu }}\) = \(0.59{\times 10}^{2}\) and standard deviation \(\sigma\) = \(0.69{\times 10}^{2}\) is shown. e as d for angle model: (\(\theta ={40}^{^\circ }\)), \(\lambda\) = 1.13, \({\rm{\mu }}\) = \(0.10{\times 10}^{3}\), \(\sigma\) = \(0.95{\times 10}^{2}\).