Abstract
We review recent studies of distribution of dimeric tandem repeats and short oligomer clustering in DNA sequences. We find that distribution of dimeric tandem repeats in coding DNA is exponential, while in noncoding DNA it often has long power-law tails. We explain this phenomenon using mutation models based on random multiplicative processes. We also develop a clustering measure based on percolation theory that quantifies the degree of clustering of short oligomers. We find that mono-, di-, and tetramers cluster more in noncoding DNA than in coding DNA. However trimers have some degree of clustering in coding DNA and noncoding DNA. We relate this phenomena to modes of tandem repeat expansion.
Original language | English |
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Pages (from-to) | 19-32 |
Number of pages | 14 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 273 |
Issue number | 1-2 |
DOIs | |
State | Published - 1 Nov 1999 |
Event | Proceedings of the 1999 13th Max Born Symposium on 'Statistical Physics in Biology: Perspectives in DNA Analysis, Population Dynamics and Ageing' - Wroclaw, Poland Duration: 26 May 1999 → 30 May 1999 |
Bibliographical note
Funding Information:We would like to thank N. Broude, C. Cantor, R.S. Dokholyan, M. Frank-Kamenetskii, A. Goldberger, M. Goodman, A.Yu. Grosberg, I. Grosse, I Labat, R.N. Mantegna, C.-K. Peng, E.I. Shakhmonvich, A. Shehter, M. Simons, C. Smith, F. Starr, E.N. Trifonov, G.M. Viswanathan, G.H. Weiss, and R. Wells for fruitful discussions. This work is supported by NIH-HGP. N.V.D. is supported by NIH NRSA molecular biophysics predoctoral traineeship (GM08291-09).
Keywords
- DNA
- Evolution
- Oligomer clustering
- Percolation theory