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DY: Fachverband Dynamik und Statistische Physik

DY 6: Statistical physics of complex networks II

DY 6.3: Vortrag

Montag, 26. März 2007, 15:00–15:15, H3

Evolution of a Population of Boolean Networks — •Tamara Mihaljev and Barbara Drossel — Institut für Festkörperphysik, Technische Universität Darmstadt, Deutschland

Boolean network models share several dynamical features with real genetic regulatory networks, although they are much simpler. Studying the evolution of such models may therefore help to gain insights into how evolutionary forces shape real genetic networks. Starting with a population of random Boolean networks with canalyzing update functions, we obtain subsequent generations of this population by producing offspring according to the fitness criterion "robustness" (i.e. the probability that an attractor remains stable under small perturbations), and by performing in some offspring mutations that change the logical structure and the topology of the networks. The fitness landscape has a huge neutral space with maximum fitness. We study the features of the evolutionary process and the properties of the evolved populations as function of the mutation rate and the strength of selection. Quantities investigated are the speed of evolution, the homogeneity of the population, and the mean and the maximum fitness of the population.