Noncommutative Biology: Sequential Regulation of Complex Networks
Fig 4
The ratchet network is robust to loss of a regulator.
(A) A schematic illustration of the experiment. The regulator K1 was deleted from networks with m = 2 P’s and variable n for different values of the connectivity ln. The resulting number of configurations was computed by simulation. (B) Correlation coefficient between configurations in the full network (all K’s; rows) and the impaired network (without K1; columns). All rows with exact matches were deleted. (C) Cumulative distribution F(x) of the maximum correlation coefficient x for each row in C for different values of ln. The dashed line is the similarity cutoff 0.8. (D) Tradeoff between reachability and robustness. The number of reachable configurations as a function of (n, ln) is plotted vs. the fraction of states above the similarity cutoff 0.8 (i.e. 1 − F(0.8)) for different values of n.