Skip to main content
Log in

Statistical Mechanical Theory of DNA Denaturation

  • Published:
Journal of Biological Physics Aims and scope Submit manuscript

Abstract

Thermodynamic quantities of a coupled sine-lattice chain, which is a simplified model of DNA (rotator model) are calculated for both in low and high temperature regions. In the high temperature region those quantities are expressed as a series expansion in terms of modified Bessel functions of an integer order. The results of numerical calculations are presented in connection with DNA denaturation (melting).

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

  1. Peyrard, M. (ed.): Nonlinear Excitation in Biomolecules, Springer, 1994.

  2. Huang, K.: Statistical Mechanics, J. Wiley and Sons, 1987.

  3. Yakushevich, L.V.: Nonlinear DNA dynamics, Physica D79 (1994), 77–86 and Nonlinear Physics of DNA, Wiley and Sons, 1998.

    Google Scholar 

  4. Peyrard, M. and Bishop, A.R.: Statistical mechanics of a nonlinear model for DNA denaturation, Phys. Rev. Lett. 62 (1989), 2755–2758.

    Google Scholar 

  5. Dauxois, T., Peyrard, M. and Bishop, A.R.: Entropy-driven DNA denarturation, Phys. Rev. E47 (1993), R44–R47.

    Google Scholar 

  6. Dauxois, T. and Peyrard, M.: Entropy-driven transition in a one-dimensional system, Phys. Rev. E51 (1995), 4027–4044.

    Google Scholar 

  7. Englander, S.W., Kallenbach, N.R., Heeger, A.J., Krumhansl, J.A. and Litwin, S.: Nature of the open state in long polynucleotide double helices, Proc. Nath. Acad. Sci. 77 (1980), 7222–7226.

    Google Scholar 

  8. Yomosa, S.: Soliton excitations in DNA double helices, Phys. Rev. A27 (1983), 2120–2125 and A30 (1984), 474–480.

    Google Scholar 

  9. Takeno, S. and Homma, S.: Topological solitons and modulated structure of bases in DNA, Prog. Theor. Phys. 70 (1983), 308–311.

    Google Scholar 

  10. Homma, S. and Takeno, S.: A coupled base-rotator model for structure and dynamics of DNA, Prog. Theor. Phys. 72 (1984), 679–693.

    Google Scholar 

  11. Zhang, C.T.: Soliton excitations in DNA double helics, Phys. Rev. A35 (1987), 886–891.

    Google Scholar 

  12. Takeno, S. and Homma, S.: Kink and breathers associated with collective sugar puckering in DNA, Prog. Theor. Phys. 77 (1987), 548–562.

    Google Scholar 

  13. Yakushevich, L.V.: Nonlinear DNA dynamics; a new model, Phys. Lett. A136 (1989), 413–417.

    Google Scholar 

  14. Takeno, S. and Homma, S.: Self-localized anharmonic rotational modes of bases in DNA, J. Phys. Soc. Jpn. 59 (1990), 1890–1901.

    Google Scholar 

  15. Homma, S.: Statistical mechanics of the one-dimensional plane rotator model in an external field, Phys. Lett. A133 (1988), 275–278.

    Google Scholar 

  16. Homma, S.: Statistical mechanics of the one-dimensional plane rotator model in an external field, J. Phys. Soc. Jpn. 59 (1989), 1559–1569.

    Google Scholar 

  17. Homma, S.: Statistical mechanics of one-dimensional sine-lattice model in an external field, in A.R. Bishop, S. Jimenez and L. Vazquez (eds): Fluctuation Phenomena, Disorder and Nonlinearity, World Scientific (1995), 236–243.

  18. Homma, S.: Thermodynamic properties of coupled sine-lattice, I – A method of calculation of a partition function, Physica D113 (1998), 202–211.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Homma, S. Statistical Mechanical Theory of DNA Denaturation. Journal of Biological Physics 24, 115–129 (1999). https://doi.org/10.1023/A:1005195429903

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005195429903

Navigation