Microdynamics and Criticality of Adaptive Regulatory Networks

Ben D. MacArthur, Rubén J. Sánchez-García and Avi Ma'ayan
Arxiv ID: 0912.2008Last updated: 8/5/2020
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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