Scaling in ordered and critical random boolean networks.

Published

Journal Article

Random Boolean networks, originally invented as models of genetic regulatory networks, are simple models for a broad class of complex systems that show rich dynamical structures. From a biological perspective, the most interesting networks lie at or near a critical point in parameter space that divides "ordered" from "chaotic" attractor dynamics. We study the scaling of the average number of dynamically relevant nodes and the median number of distinct attractors in such networks. Our calculations indicate that the correct asymptotic scalings emerge only for very large systems.

Full Text

Duke Authors

Cited Authors

  • Socolar, JE; Kauffman, SA

Published Date

  • February 13, 2003

Published In

Volume / Issue

  • 90 / 6

Start / End Page

  • 068702 -

PubMed ID

  • 12633339

Pubmed Central ID

  • 12633339

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.90.068702

Language

  • eng