Solvable Sequence Evolution Models and Genomic Correlations

Messer, Philipp W.; Arndt, Peter F.; Lässig, Michael

doi:10.1103/PhysRevLett.94.138103

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Solvable Sequence Evolution Models and Genomic Correlations

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Messer, Philipp W.
Max Planck Society;

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Arndt, Peter F.
Evolutionary Genomics (Peter Arndt), Dept. of Computational Molecular Biology (Head: Martin Vingron), Max Planck Institute for Molecular Genetics, Max Planck Society;

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Citation

Messer, P. W., Arndt, P. F., & Lässig, M. (2005). Solvable Sequence Evolution Models and Genomic Correlations. Physical Review Letters, 94, 138103-1-138103-4. doi:10.1103/PhysRevLett.94.138103.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0010-8695-2

Abstract

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.