Noncommutative Biology: Sequential Regulation of Complex Networks
Fig 3
Multiple connections in the ratchet network decreases the number of configurations.
(A) An example network where each target has ln = 2 connections to the K’s (red) and lm = 2 connections to the P’s (blue). (B) A list of the minimal length sequences generating unique configurations in the network in when ln = lm = 1. Red bars are K actions and blue bars are P actions. (C) The list of minimal length sequences when ln = lm = 2. Some sequences now map to the same configuration. (D) Analytical solution for the number of sequences as a function of n = m for different ln = lm families.