English

Microdynamics and Criticality of Adaptive Regulatory Networks

Physics and Society 2020-08-05 v3 Combinatorics Dynamical Systems Adaptation and Self-Organizing Systems

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.

Keywords

Cite

@article{arxiv.0912.2008,
  title  = {Microdynamics and Criticality of Adaptive Regulatory Networks},
  author = {Ben D. MacArthur and Rubén J. Sánchez-García and Avi Ma'ayan},
  journal= {arXiv preprint arXiv:0912.2008},
  year   = {2020}
}

Comments

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