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.
Ben D MacArthur, Rubén J Sánchez-García, Avi Ma'ayan. Microdynamics and criticality of adaptive regulatory networks. Physical review letters. 2010 Apr 23;104(16):168701
PMID: 20482087
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