Fig. 3: Turbulence in fast, neuronal whole-brain dynamics measured with magnetoencephalography (MEG) in human participants.
From: The effect of turbulence in brain dynamics information transfer measured with magnetoencephalography
a The measure of edge-centric metastability shows clear turbulence for all five bands of MEG data compared to circular shifted surrogate data. b An example of the edge matrix for 200 data points the MEG data of one participant and for the corresponding surrogate data. c The robustness of the edge-centric metastability is demonstrated by the asymptotic behaviour of the average of the edge-centric metastability as a function of the length of the MEG data time series. The figure shows this asymptotic behaviour for all five bands with the shadow reflecting the standard error. d Visualisations for a single participant of the edge turbulence for the delta band for three successive timepoints rendered on 3D views (sideways and midline) as well as flat map renderings of the whole brain. e Using measure of Edge Spacetime Predictability (ESP) on MEG data (compared with surrogate data), shows significant differences for all five bands, suggesting the efficiency of the turbulent regime for information transfer. f An example for the delta band in a specific participant of the evolution of the seven different predictions (different coloured curves, \({{{{{\rm{\tau }}}}}}=\left[1..7\right]\) in Eq. 9) as function of the Euclidean distance between parcels (x-axis). The error bars depict the standard error.
