Microdynamics and criticality of adaptive regulatory networks

Phys Rev Lett. 2010 Apr 23;104(16):168701. doi: 10.1103/PhysRevLett.104.168701. Epub 2010 Apr 19.


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.

MeSH terms

  • Adaptation, Physiological / genetics*
  • Algorithms
  • Computer Simulation
  • Evolution, Molecular
  • Feedback
  • Humans
  • Models, Genetic*
  • Time Factors