Skip to main content
Log in

Non-extensive trends in the size distribution of coding and non-coding DNA sequences in the human genome

  • Biophysics
  • Published:
The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

We study the primary DNA structure of four of the most completely sequenced human chromosomes (including chromosome 19 which is the most dense in coding), using non-extensive statistics. We show that the exponents governing the spatial decay of the coding size distributions vary between 5.2 ≤r ≤5.7 for the short scales and 1.45 ≤q ≤1.50 for the large scales. On the contrary, the exponents governing the spatial decay of the non-coding size distributions in these four chromosomes, take the values 2.4 ≤r ≤3.2 for the short scales and 1.50 ≤q ≤1.72 for the large scales. These results, in particular the values of the tail exponent q, indicate the existence of correlations in the coding and non-coding size distributions with tendency for higher correlations in the non-coding DNA.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • C.-K. Peng, S.V. Buldyrev, A.L. Goldberger, S. Havlin, F. Sciortino, M. Simons, H.E. Stanley, Nature 356, 168 (1992)

    Article  ADS  Google Scholar 

  • W. Li, K. Kaneko, Europhys. Lett. 17, 655 (1992)

    ADS  Google Scholar 

  • R.F. Voss, Phys. Rev. Lett. 68, 3805 (1992)

    Article  ADS  Google Scholar 

  • R.N. Mantegna, S.V. Buldyrev, A.L. Goldberger, S. Havlin, C.-K. Peng, M. Simons, H.E. Stanley, Phys. Rev. E 52, 2939 (1995)

    Article  ADS  Google Scholar 

  • A. Provata, Y. Almirantis, Physica A 247, 482 (1997)

    Article  ADS  Google Scholar 

  • A. Arneodo, E. Bacry, P.V. Graves, J.F. Muzy, Phys. Rev. Lett. 74, 3293 (1995); A. Arneodo, Y. d' Aubenton-Carafa, E. Bacry, P.V. Graves, J.F. Muzy, C. Thermes, Physica D 96, 291 (1996); R.N. Mantegna, S.V. Buldyrev, A.L. Goldberger, S. Havlin, C.-K. Peng, M. Simons, H.E. Stanley, Phys. Rev. Lett. 73, 3169 (1994); A. Czirók, R.N. Mantegna, S. Havlin, H.E. Stanley, Physical Review E 52, 446 (1995); A.A. Tsonis, J.B. Elsner, P.A. Tsonis, J. Theor. Biol. 151, 323 (1991); S. Karlin, V. Brendel, Science 259, 677 (1993); H. Herzel, E.N. Trifonov, O. Weiss, I. Grosse, Physica A 249, 449 (1998); S.V. Buldyrev, A.L. Goldberger, S. Havlin, C.-K. Peng, M. Simons, H.E. Stanley, Phys. Rev E 47, 4514 (1993)

    Article  ADS  Google Scholar 

  • Y. Almirantis, A. Provata, J. Stat. Phys. 97 233 (1999); A. Provata, Y. Almirantis, J. Stat. Phys. 106, 23 (2002); P. Katsaloulis, T. Theoharis, A. Provata, Physica A 316, 380 (2002)

    MathSciNet  Google Scholar 

  • Nonextensive Statistical Mechanics and its Applications, edited by S. Abe, Y. Okamoto, Series Lecture Notes in Physics (Springer-Verlag, Berlin, 2001); Non Extensive Statistical Mechanics and Physical Applications, edited by G. Kaniadakis, M. Lissia, A. Rapisarda, Physica A 305, No 1/2 (Elsevier, Amsterdam, 2002)

  • I. Bediaga, E.M.F. Curado, J. Miranda, Physica A 286, 156 (2000); C. Beck, Phys. Rev. Lett. 87, 180601 (2001); N. Arimitsu, T. Arimitsu, Europhys. Lett. 60, 60 (2002); M. Peyrard, I. Daumont, Europhys. Lett. 59, 834 (2002); A. Upadhyaya, J.-P. Rieu, J.A. Glazier, Y. Sawada, Physica A 293, 549 (2001); P.A. Alemany, D.H. Zanette, Phys. Rev. E 49, R956 (1994); C. Tsallis, S.V.F. Levy, A.M.C. Souza, R. Maynard, Phys. Rev. Lett. 75, 3589 (1995); A.R. Plastino, A. Plastino, Physica A 222, 347 (1995); M.L. Lyra, C. Tsallis, Phys. Rev. Lett. 80, 53 (1998); E.P. Borges, C. Tsallis, G.F.J. Ananos, P.M.C. Oliveira, Phys. Rev. Lett. 89, 254103 (2002); Y.S. Weinstein, S. Lloyd, C. Tsallis, Phys. Rev. Lett. 89, 214101 (2002); V. Latora, A. Rapisarda, C. Tsallis, Phys. Rev. E 64, 056134 (2001); G.A. Tsekouras, A. Provata, C. Tsallis, Phys. Rev. E 69, 016120 (2004)

    Article  ADS  Google Scholar 

  • C. Tsallis, J. Stat. Phys. 52, 479, (1988); E.M.F. Curado, C. Tsallis, J. Phys. A 24 L69 (1991); C. Tsallis, R.S. Mendes, A.R. Plastino, Physica A 261, 534 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  • C. Tsallis, G. Bemski, R.S. Mendes Phys. Lett. A 257, 93 (1999)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Th. Oikonomou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oikonomou, T., Provata, A. Non-extensive trends in the size distribution of coding and non-coding DNA sequences in the human genome. Eur. Phys. J. B 50, 259–264 (2006). https://doi.org/10.1140/epjb/e2006-00121-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2006-00121-2

PACS.

Navigation