Microdynamics and criticality of adaptive regulatory networks

B.D. MacArthur, R.J. Sánchez-García and A. Ma'ayan
Physical Review Letters 104, 168701, 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.

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