Noncommutative Biology: Sequential Regulation of Complex Networks
Fig 2
The ratchet model attains configurations not reachable by combinatorial logic.
(A) The ratchet model for n = m = 2 and ln = lm = 1. Activators (K’s) and deactivators (P’s) turn targets ON and OFF, respectively. (B) An example temporal sequence for the network with a threshold equal to 1. Black targets are in the 1 state. (C) An example sequence for the same network with threshold equal to 2. Gray targets are in the 1 state, and black targets are in the 2 state. (D) Scaling laws for the threshold T = 1 (red) and T = 2 (yellow) are shown for symmetric networks (n = m). A comparison to combinatorial logic with an equivalent number of regulators (n + m) is shown in blue.