Critical Points for Random Boolean Networks

Details Critical Points for Random Boolean Networks Critical Points for Random Boolean Networks

2001-10-19

arxiv.org/abs/nlin/0110036v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

19 pages

Scientific paper

10.1016/S0167-2789(02)00618-8

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.

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