Maximum principle and mutation thresholds for four-letter sequence evolution

Details Maximum principle and mutation thresholds for four-letter sequence evolution Maximum principle and mutation thresholds for four-letter sequence evolution

2004-06-21

arxiv.org/abs/q-bio/0406041v1

JSTAT (2004) P07007

Biology

Quantitative Biology

Populations and Evolution

25 pages, 16 figures

Scientific paper

10.1088/1742-5468/2004/07/P07007

A four-state mutation-selection model for the evolution of populations of DNA-sequences is investigated with particular interest in the phenomenon of error thresholds. The mutation model considered is the Kimura 3ST mutation scheme, fitness functions, which determine the selection process, come from the permutation-invariant class. Error thresholds can be found for various fitness functions, the phase diagrams are more interesting than for equivalent two-state models. Results for (small) finite sequence lengths are compared with those for infinite sequence length, obtained via a maximum principle that is equivalent to the principle of minimal free energy in physics.

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