Control rules governing activity of eukaryotic genes appear strongly biased toward large numbers of "canalizing" inputs. The ensemble of networks with the observed bias predicts cells are in an ordered regime with convergent flow in transcription state space, a percolating subnetwork of genes...

The critical boundaries separating ordered from chaotic behavior in randomly wired S-state networks are calculated. These networks are a natural generalization of random Boolean net and are proposed as an extended approach to genetic regulatory systems, sets of cells in different states or...