Figure 3
From: Topological estimation of signal flow in complex signaling networks

A toy example to explain how signal propagation algorithm works. (a) Toy example network and its link weight normalization. (b–d) The temporal evolution of activities and signal flows, (b) when node A is activated, or (c) when node A is activated and node E is inhibited. (d) The net effect of inhibiting node E calculated by comparing the results of (b) and (c). The real numbers in (b) and (c) denote the log-activity, x. The real numbers in (d) denote the difference between the log-activities of (b) and (c). The colors of nodes and links denote the relative quantity of the activities and signal flows. Red and blue colors of circles represent positive (up-regulated) and negative (down-regulated) activities, respectively. Red and blue colors of arrows denote positive (activating) and negative (inhibiting) signal flows, respectively. The values for basal activities of nodes A and B were assigned +1 and −1 (i.e., b A =+1 and b B = −1), respectively. The initial state, x(t = 1), was equal to the basal activity, b in each case, and the hyperparameter, α, is set to 0.5.