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SYBN: Biological and Social Networks

SYBN 3: Biologische und Soziale Netzwerke, Postersitzung

SYBN 3.2: Poster

Montag, 7. März 2005, 14:00–15:30, Poster TU E

From simple Boolean networks to relevant critical networks — •Viktor Kaufman und Barbara Drossel — TU Darmstadt, Institut für Festkörperphysik, AG Drossel, Hochschulstraße 6, 64289 Darmstadt

Random Booleand networks (RBN) have now been studied for almost 40 years, but are still not fully understood. We first present results for the number and length of attractors in two types of simple Boolean networks and show that they share many features of critical RBN. The reason for this is that these simple networks occur also as components of the relevant part of critical RBN. We then focus on general properties of the relevant components of critical RBN, such as the component topology. Since direct computer simulations are unfeasible for large system sizes, we have to support them by analytical arguments.