Fig. 5
From: Symmetry breaking organizes the brain’s resting state manifold

Mechanistic structure of the manifold and empirical observations. Panels ABC detail the fixed-point skeleton of the model, and panels DEF relate to the empirical observations. (A) Composition of the sampled stable fixed points in terms of a number of nodes in the up-state as a function of G, normalized to \(G=0\). (B) Projection of the stable fixed points into the first two leading eigenmodes of the network Laplacian \(E_1, E_2\), color-coded with the value of the largest eigenvalue in the linear stability analysis. (C) Fixed points (colored) derived by noise-free integration to equilibrium from the trace of a simulation (black) in the working point \(G_w\), color-coded by the value of the largest eigenvalue \(\lambda _1\). (D) Frequency peak in the simulated source activity of each region plotted against the node structural connectivity in-strength. (E) Empirical BOLD time series projected into the first two PCA components with the events colored by the RSS value (yellow in the peak). (F) Across the cortical hierarchy, the time spent in avalanches of the \(\textbf{r}(t)\) time-series (top) decreases, as does the cumulative z-scored simulated BOLD from the event time-segments (middle). The spatial distribution of the principal functional gradient extracted from empirical fMRI is also aligned along the cortical hierarchy (bottom).