Genetic correlations in mutation processes
Abstract
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.
- Publication:
-
Physical Review E
- Pub Date:
- June 1999
- DOI:
- 10.1103/PhysRevE.59.7000
- arXiv:
- arXiv:cond-mat/9812184
- Bibcode:
- 1999PhRvE..59.7000B
- Keywords:
-
- 87.10.+e;
- 87.15.Cc;
- 02.50.-r;
- 87.23.Kg;
- General theory and mathematical aspects;
- Folding and sequence analysis;
- Probability theory stochastic processes and statistics;
- Dynamics of evolution;
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Adaptation and Self-Organizing Systems;
- Physics - Biological Physics;
- Quantitative Biology - Genomics
- E-Print:
- revtex, 8 pages, 2 figs