Critical Networks Exhibit Maximal Information Diversity in Structure-Dynamics Relationships

Matti Nykter, Nathan D. Price, Antti Larjo, Tommi Aho, Stuart A. Kauffman, Olli Yli-Harja, and Ilya Shmulevich

Phys. Rev. Lett. 100, 058702 – Published 4 February 2008

Abstract

Network structure strongly constrains the range of dynamic behaviors available to a complex system. These system dynamics can be classified based on their response to perturbations over time into two distinct regimes, ordered or chaotic, separated by a critical phase transition. Numerous studies have shown that the most complex dynamics arise near the critical regime. Here we use an information theoretic approach to study structure-dynamics relationships within a unified framework and show that these relationships are most diverse in the critical regime.

Received 26 July 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.058702

Authors & Affiliations

Matti Nykter^1,2, Nathan D. Price^2,4, Antti Larjo¹, Tommi Aho¹, Stuart A. Kauffman³, Olli Yli-Harja¹, and Ilya Shmulevich^2,*

¹Institute of Signal Processing, Tampere University of Technology, Tampere, Finland
²Institute for Systems Biology, Seattle, Washington, USA
³Institute for Biocomplexity and Informatics, University of Calgary, Calgary, Alberta, Canada
⁴Department of Chemical and Biomolecular Engineering, University of Illinois, Urbana, Illinois, USA

^*To whom correspondence should be addressed. ishmulevich@systemsbiology.org

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Issue

Vol. 100, Iss. 5 — 8 February 2008

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