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BP: Fachverband Biologische Physik
BP 2: DNA/RNA and related enzymes
BP 2.2: Talk
Monday, March 31, 2014, 09:45–10:00, ZEU 250
Neutral Evolution of Duplicated DNA: An Evolutionary Stick-Breaking Process Causes Scale-Invariant Behavior — Florian Massip1,2 and •Peter F. Arndt2 — 1INRA, Jouy-en-Josas, France — 2Max Planck Institute for Molecular Genetics, Berlin, Germany
Recently, an enrichment of identical matching sequences has been found in many eukaryotic genomes. Their length distribution exhibits a power law tail raising the question of what evolutionary mechanism or functional constraints would be able to shape this distribution. Here we introduce a simple and evolutionarily neutral model, which involves only point mutations and segmental duplications, and produces the same statistical features as observed for genomic data. Further, we extend a mathematical model for random stick breaking to analytically show that the exponent of the power law tail is -3 and universal as it does not depend on the microscopic details of the model.