A Novel Antifragility Measure Based on Satisfaction and Its Application to Random and Biological Boolean Networks

Figure 1

Schematic diagrams showing state transitions of (a) critical and (b) chaotic RBNs with = 20, = 2, and = 1. The left side is the network without perturbations and the right one is the network with perturbations with the same initial states. Each square represents the state of a node (white = 0, black = 1). The state transitions were calculated from the initial states at the top to states at the bottom during = 40. (a) = 2 (critical), = (complexity is increased by perturbations: antifragile). (b) = 3 (chaotic), = 0.0388 (complexity is decreased by perturbations: fragile).

(a)

(b)