Microdynamics and Criticality of Adaptive Regulatory Networks

Ben D. MacArthur, Rubén J. Sánchez-García, and Avi Ma’ayan
Phys. Rev. Lett. 104, 168701 – Published 19 April 2010
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Abstract

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.

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  • Received 3 December 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.168701

©2010 American Physical Society

Authors & Affiliations

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

  • *ben.macarthur@mssm.edu

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Issue

Vol. 104, Iss. 16 — 23 April 2010

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