Fisher information at the edge of chaos in random boolean networks

Authors:
X. Rosalind Wang;Joseph T. Lizier;Mikhail Prokopenko
Affiliations:
CSIRO Information and Communications Technology Centre;CSIRO Information and Communications Technology Centre and Max Planck Institute for Mathematics in the Sciences and The University of Sydney;CSIRO Information and Communications Technology Centre
Venue:
Artificial Life
Year:
2011

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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 characterize the phase diagram in information-theoretic terms, focusing on the effect of the control parameters (activity level and connectivity). Fisher information, which measures how much system dynamics can reveal about the control parameters, offers a natural interpretation of the phase diagram in RBNs. We report that this measure is maximized near 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.