A fisher information study of phase transitions in random Boolean networks

X. Rosalind Wang*, Joseph T. Lizier, Mikhail Prokopenko

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

8 Citations (Scopus)

Abstract

We study the order-chaos phase transition in random Boolean networks (RBNs), which have been used as models of gene regulatory networks. In particular we seek to characterise the phase diagram in information-theoretic terms, focussing on the effect of the control parameters (activity level and connectivity). Fisher information, which measures how much system dynamics reveal about its parameters, offers a natural interpretation of the phase diagram in RBNs. We report that this measure is maximised near the critical state in the order-chaos phase transitions in RBNs, since this is the region where the system is most sensitive to its parameters. Furthermore, we use this study of RBNs to clarify the relationship between Shannon and Fisher information measures.

Original languageEnglish
Title of host publicationArtificial Life XII: Proceedings of the 12th International Conference on the Synthesis and Simulation of Living Systems, ALIFE 2010
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages305-312
Number of pages8
ISBN (Print)9780262290753
Publication statusPublished - 2010
Externally publishedYes
Event12th International Conference on the Synthesis and Simulation of Living Systems: Artificial Life XII, ALIFE 2010 - Odense, Denmark
Duration: 19 Aug 201023 Aug 2010

Other

Other12th International Conference on the Synthesis and Simulation of Living Systems: Artificial Life XII, ALIFE 2010
CountryDenmark
CityOdense
Period19/08/1023/08/10

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