MacArthur, Ben D., Sanchez-Garcia, Ruben and Ma’ayan, Avi (2010) Microdynamics and criticality of adaptive regulatory networks. Physical Review Letters, 104 (16), 168701-[4pp]. (doi:10.1103/PhysRevLett.104.168701). (PMID:20482087)
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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