Scale-Free topologies and Activatory-Inhibitory interactions

Details Scale-Free topologies and Activatory-Inhibitory interactions Scale-Free topologies and Activatory-Inhibitory interactions

2004-04-22

arxiv.org/abs/q-bio/0404029v2

Chaos (Focus Issue), 16, 015114 (2006)

Biology

Quantitative Biology

Molecular Networks

Revtex style, 12 pages and 12 figures. Enlarged manuscript with major revision and new results incorporated. To appear in Chao

Scientific paper

10.1063/1.2146115

A simple model of activatory-inhibitory interactions controlling the activity of agents (substrates) through a "saturated response" dynamical rule in a scale-free network is thoroughly studied. After discussing the most remarkable dynamical features of the model, namely fragmentation and multistability, we present a characterization of the temporal (periodic and chaotic) fluctuations of the quasi-stasis asymptotic states of network activity. The double (both structural and dynamical) source of entangled complexity of the system temporal fluctuations, as an important partial aspect of the Correlation Structure-Function problem, is further discussed to the light of the numerical results, with a view on potential applications of these general results.

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