Figure 10.

Internal structures and dynamics of network states. A, Schematic illustration for a normalization procedure to quantify network stability. The PC1–PC2 space (left) was transformed to a new plane coordinate (right). r⃗_i is a normalized differential vector between an original data point (g⃗_i) and the state centroid (z⃗). B, Scatter plots of r⃗_i in a new plane (n = 15 slices). The bottom and left histograms show the distributions of r⃗_x and r⃗_y, respectively. C, Probability density of the angle (θ) between r⃗_i and z⃗ in the PC coordinate system. D, Pseudocolored potential energy in the r⃗_x versus r⃗_y coordinate, which was calculated based on the density of r⃗_i obtained from B (see Materials and Methods). The z-axis indicates a three-dimensional representation of this potential energy function (an arbitrary unit).