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Authors:
Philipp W Messer, Peter F Arndt, Michael Lässig

Title:
Solvable sequence evolution models and genomic correlations

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.


Reference:
Physical Review Letters 94 (2005) 138103

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