Critical Points for Random Boolean Networks
arXiv:nlin/0110036 · doi:10.1016/S0167-2789(02)00618-8
Abstract
A model of cellular metabolism due to S. Kauffman is analyzed. It consists of a network of Boolean gates randomly assembled according to a probability distribution. It is shown that the behavior of the network depends very critically on certain simple algebraic parameters of the distribution. In some cases, the analytic results support conclusions based on simulations of random Boolean networks, but in other cases, they do not.
19 pages