Fig. 3: Spatiotemporal dynamics of gamma burst patterns.

a Snapshots of gamma amplitudes at two timepoints (case MA027; recordings separated by 1 s). Detected bursts are indicated by black dots. Red lines show the trajectories of the center of mass positions of the burst pattern over the previous 100 ms (left) and 300 ms (right). b Mean square displacement (MSD) of the trajectory of a typical burst pattern as a function of time increment. Red line indicates a fitted power function of MSD, \({MSD}\left(\tau \right)\propto \,{\tau }^{\beta }\), with diffusion exponent β = 1.24. c Distribution of diffusion exponent β for gamma bursts of animal MA026 (5 min); mean value is 1.42. d Complementary cumulative probability distribution (CCPD) of the step lengths (1D model) of MA026 (blue dots). Red line indicates a fitted truncated power distribution with \(\lambda\) = 1.32. For comparison, a normal distribution (black dashed line) with mean \({\rm{\mu }}\,=\,0.31{\times 10}^{3}\) and standard deviation \(\sigma\) = \(0.52{\times 10}^{3}\) is shown. e As d, case MA027, \(\lambda\) = 1.33, \({\rm{\mu }}\) = \(0.26{\times 10}^{3}\), \(\sigma\) = \(0.43{\times 10}^{3}\). f As e, case MY144, \(\lambda\) = 1.33, \({\rm{\mu }}\) = \(0.29{\times 10}^{3}\), \(\sigma\) = \(0.48{\times 10}^{3}\) g As f, case MY147, \(\lambda\) = 1.30, \({\rm{\mu }}\) = \(0.32{\times 10}^{3}\), \(\sigma\) = \(0.52{\times 10}^{3}\) is shown. h The angle model used to extract step length from traces (\(\theta ={40}^{^\circ }\)). Red dashed lines show the trajectories of the center of mass positions of a gamma burst pattern. An example change of angle \(\theta\) is shown. The step lengths (black lines) are calculated as the distance between turning points (black dots) where the angle \(\theta\) is >\({40}^{^\circ }\). i Pattern-based surrogate data, \({\rm{\mu }}\) = \(0.78{\times 10}^{3}\), \(\sigma\) = \(0.60{\times 10}^{3}\).