Berlin 2005 – scientific programme
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AKB: Biologische Physik
AKB 20: Systems Biology and Bioinformatics
AKB 20.3: Talk
Friday, March 4, 2005, 15:00–15:15, TU H2013
A Solvable Sequence Evolution Model and Genomic Correlations — •Philipp W. Messer1,2, Peter F. Arndt2, and Michael Lassig1 — 1Institute for Theoretical Physics, University of Cologne, Zuelpicher Str. 77, 50937 Koeln, Germany — 2Max Planck Institute for Molecular Genetics, Ihnestr. 73, 14195 Berlin, Germany
We study stochastic sequence evolution processes whose elementary steps are duplication, mutation, insertion, and deletion of single letters. Such processes are found to generate long-range correlations in the frequencies of letters as long as the sequence length is growing, i.e., the combined rates of duplications and insertions are higher than the deletion rate. For constant sequence length, on the other hand, all initial correlations decay exponentially. These results are obtained analytically and are supported by simulations. Their implications for explaining the long-range correlations in genomic DNA are discussed.