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Solvable Sequence Evolution Models and Genomic Correlations Philipp W. Messer,1,2

Summary: Solvable Sequence Evolution Models and Genomic Correlations
Philipp W. Messer,1,2
Peter F. Arndt,2
and Michael La¨ssig1
Institute for Theoretical Physics, University of Cologne, Zu¨lpicher Str. 77, 50937 Ko¨ln, Germany
Max Planck Institute for Molecular Genetics, Ihnestr. 73, 14195 Berlin, Germany
(Received 24 September 2004; published 8 April 2005)
We study a minimal model for genome evolution whose elementary processes are single site mutation,
duplication and deletion of sequence regions, and insertion of random segments. These processes are
found to generate long-range correlations in the composition 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 by simulations. They are compared with the long-range correlations observed in
genomic DNA, and the implications for genome evolution are discussed.
DOI: 10.1103/PhysRevLett.94.138103 PACS numbers: 87.23.Kg, 05.40.­a, 87.15.Cc
Over a decade ago, long-range correlations in the se-
quence composition of DNA have been discovered [1­3].
With the rapidly growing availability of whole-genome


Source: Arndt, Peter - Max-Planck-Institut für molekulare Genetik
Lässig, Michael - Institut für Theoretische Physik, Universität zu Köln
Spang, Rainer - Computational Molecular Biology Group, Max-Planck-Institut für molekulare Genetik


Collections: Biology and Medicine; Biotechnology; Computer Technologies and Information Sciences; Physics