Fig. 2.
Synchronizability and changes across development. a A synchronous state is operationalized as a state in which all nodes have the same activity magnitude. Such a state is stable when the master stability function is negative for all positive eigenvalues of the graph Laplacian (Methods section). We use the inverse spread of the Laplacian eigenvalues 1/σ 2({λ i}) as a measure of global synchronizability. b Global synchronizability is anti-correlated with both average controllability and modal controllability (color of circles). Yellow and red ellipses are the 95% confidence clouds of the node-preserving and strength-preserving null models. c Mean average controllability significantly increases with age: Pearson’s correlation coefficient r = 0.28, df = 881, p < 1 × 10−16. d Global synchronizability significantly decreases with age: −0.37, df = 881, p < 1 × 10−16. The fits in panels c, d all control for brain volume, head motion, sex, and handedness. Blue lines show best non-linear fit under a general additive model (see Methods); gray envelope denotes 95% confidence interval