Figure 4. Dynamics of random networks using canalizing functions.

Derrida map M(x) for homogeneous random networks with N = 1481, K = 2, p = 0.5 and different fractions f_c of canalizing functions. For fully random functions the networks operate in the critical regime and f_c = 0.875. Panel (a) shows the results when more canalizing functions are added on top of the ones already present just by chance, whereas panel (b) corresponds to removing canalizing functions from the ones already present. Note that the addition or removal of even a small fraction of canalizing functions in homogeneous random networks has a considerably bigger impact on the dynamics than for the E. coli network. Each point in the curves is the average over 5000 initial conditions randomly chosen.