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Statistical properties of DNA sequences

Author

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  • Peng, C.-K.
  • Buldyrev, S.V.
  • Goldberger, A.L.
  • Havlin, S.
  • Mantegna, R.N.
  • Simons, M.
  • Stanley, H.E.

Abstract

We review evidence supporting the idea that the DNA sequence in genese containing non-coding regions is correlated, and that the correlation is remarkably long range — indeed, nucleotides thousands of base pairs distant are correlated. We do not find such a long-range correlation in the coding regions of the gene. We resolve the problem of the “non-stationarity” feature of the sequence of base pairs by applying a new algorithm called detrended fluctuation analysis (DFA). We address the claim of Voss that there is no difference in the statistical properties of coding and non-coding regions of DNA by systematically applying the DFA algorithm, as well as standard FFT analysis, to every DNA sequence (33 301 coding and 29 453 non-coding) in the entire GenBank database. Finally, we describe briefly some recent work showing that the non-coding sequences have certain statistical features in common with natural and artificial languages. Specifically, we adapt to DNA the Zipf approach to analyzing linguistic texts. These statistical properties of non-coding sequences support the possibility that non-coding regions of DNA may carry biological information.

Suggested Citation

  • Peng, C.-K. & Buldyrev, S.V. & Goldberger, A.L. & Havlin, S. & Mantegna, R.N. & Simons, M. & Stanley, H.E., 1995. "Statistical properties of DNA sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 180-192.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:1:p:180-192
    DOI: 10.1016/0378-4371(95)00247-5
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    1. Stanley, H.E. & Buldyrev, S.V. & Goldberger, A.L. & Goldberger, Z.D. & Havlin, S. & Mantegna, R.N. & Ossadnik, S.M. & Peng, C.-K. & Simons, M., 1994. "Statistical mechanics in biology: how ubiquitous are long-range correlations?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 214-253.
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    3. Şahin, Gökhan & Erentürk, Murat & Hacinliyan, Avadis, 2009. "Detrended fluctuation analysis in natural languages using non-corpus parametrization," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 198-205.
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