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Scaling in Ordered and Critical Random Boolean Networks
Open accessAbstract
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.
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Citations
Cites
The Origins of Order: Self-Organization and Selection in Evolution
Kauffman, S. A. (1993) · doi:10.1093/oso/9780195079517.001.0001 · Cited by 7,855
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Cited by
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
Being Critical of Criticality in the Brain
Beggs, J. M., & Timme, N. (2012) · Frontiers in Physiology · doi:10.3389/fphys.2012.00163 · Cited by 494
Cell–cell interaction and diversity of emergent behaviours
Damiani, C., Serra, R., Villani, M., Kauffman, S. A., & Colacci, A. (2011) · IET Systems Biology · doi:10.1049/iet-syb.2010.0039 · Cited by 38
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Metadata
- Authors
- Socolar, J. E. S., & Kauffman, S. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2003-02-13
- Volume
- 90
- Issue
- 6
- Pages
- 068702-068702
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2018659462
- Cited by
- 182
- References
- 1
- FWCI
- 5.95
- Type
- journal article
- Language
- en
- Open access
- green
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