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Phys. Rev. Lett. 104, 168701 (2010) [4 pages]

Microdynamics and Criticality of Adaptive Regulatory Networks

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Ben D. MacArthur1,*, Rubén J. Sánchez-García2, and Avi Ma’ayan1
1Department of Pharmacology and Systems Therapeutics, Systems Biology Center New York (SBCNY), Mount Sinai School of Medicine, New York, New York 10029, USA
2Mathematisches Institut, Heinrich-Heine Universität Düsseldorf, Universitätsstr 1, 40225, Düsseldorf, Germany

Received 3 December 2009; published 19 April 2010

We present a model of adaptive regulatory networks consisting of a simple biologically motivated rewiring procedure coupled to an elementary stability criterion. The resulting networks exhibit a characteristic stationary heavy-tailed degree distribution, show complex structural microdynamics, and self-organize to a dynamically critical state. We show analytically that the observed criticality results from the formation and breaking of transient feedback loops during the adaptive process.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.168701
DOI:
10.1103/PhysRevLett.104.168701
PACS:
89.75.Fb, 02.10.Ox, 05.65.+b, 89.75.Hc

*ben.macarthur@mssm.edu