Solvable sequence evolution models and genomic correlations.

@article{Messer2005SolvableSE,
  title={Solvable sequence evolution models and genomic correlations.},
  author={Philipp W. Messer and Peter F. Arndt and Michael L{\"a}ssig},
  journal={Physical review letters},
  year={2005},
  volume={94 13},
  pages={138103}
}
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… CONTINUE READING

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