Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1994-03-22
Physica D, 75:392-416 (1994). erratum: 82:217(1995)
Nonlinear Sciences
Chaotic Dynamics
a latex file, a macro file (ccsr.sty) to run latex, and a figures.uu file which contains 17 postscript figures. the text shoul
Scientific paper
10.1016/0167-2789(94)90294-1
In this paper, we review the literature on statistical long-range correlation in DNA sequences. We examine the current evidence for these correlations, and conclude that a mixture of many length scales (including some relatively long ones) in DNA sequences is responsible for the observed 1/f-like spectral component. We note the complexity of the correlation structure in DNA sequences. The observed complexity often makes it hard, or impossible, to decompose the sequence into a few statistically stationary regions. We suggest that, based on the complexity of DNA sequences, a fruitful approach to understand long-range correlation is to model duplication, and other rearrangement processes, in DNA sequences. One model, called ``expansion-modification system", contains only point duplication and point mutation. Though simplistic, this model is able to generate sequences with 1/f spectra. We emphasize the importance of DNA duplication in its contribution to the observed long-range correlation in DNA sequences.
Kaneko Kunihiko
Li Wentian
Marr Thomas G.
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