Microdynamics and Criticality of Adaptive Regulatory Networks

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.

8 pages, 5 figures, moderate changes, focus on adaptive self-organised criticality

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Cited by in corpus (5)

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• Collective predator evasion: Putting the criticality hypothesis to the test
• Extreme variability in convergence to structural balance in frustrated dynamical systems
• Component response rate variation underlies the stability of highly complex finite systems