Genetic Correlations in Mutation Processes

Details Genetic Correlations in Mutation Processes Genetic Correlations in Mutation Processes

1998-12-10

arxiv.org/abs/cond-mat/9812184v1

Phys. Rev. E 59, 7000 (1999)

Physics

Condensed Matter

Statistical Mechanics

revtex, 8 pages, 2 figs

Scientific paper

10.1103/PhysRevE.59.7000

We study the role of phylogenetic trees on correlations in mutation processes. Generally, correlations decay exponentially with the generation number. We find that two distinct regimes of behavior exist. For mutation rates smaller than a critical rate, the underlying tree morphology is almost irrelevant, while mutation rates higher than this critical rate lead to strong tree-dependent correlations. We show analytically that identical critical behavior underlies all multiple point correlations. This behavior generally characterizes branching processes undergoing mutation.

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