Genetic Correlations in Mutation Processes
E. Ben-Naim and A. S. Lapedes
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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