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DY: Dynamik und Statistische Physik

DY 12: Statistical Physics of Complex Networks II

DY 12.2: Vortrag

Montag, 27. März 2006, 11:15–11:30, H\"UL 186

Scaling in canalyzing and other critical Kauffman networks — •Viktor Kaufman, Barbara Drossel, Tamara Mihaljev, and Ute Paul — Institute of Condensed Matter Physics, TU Darmstadt

The application of methods of statistical physics supported by numerical simulations leads to an intuitive and at the same time quantitative understanding of critical Kauffman Random Boolean networks(RBNs) with two inputs per node in the limit of large system size. We study standard RBNs as well as the special case of canalyzing RBNs, which were suggested to be suitable models for description of f.i. regulatory genetic networks. In the past few years unexpected results were found in such models. In particular we prove that canalyzing networks do not have substantially shorter or less attractors than other critical networks. Further similar models can be studied using our approach.