Skip to main content
Log in

The elastic theory of a single DNA molecule

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

We study the elastic responses of double-(ds) and single-stranded (ss) DNA at external force fields. A double-strand-polymer elastic model is constructed and solved by path integral methods and Monte Carlo simulations to understand the entropic elasticity, cooperative extensibility, and supercoiling property of dsDNA. The good agreement with experiments indicates that short-ranged base-pair stacking interaction is crucial for the stability and the high deformability of dsDNA. Hairpin-coil transition in ssDNA is studied with generating function method. A threshold force is needed to pull the ssDNA hairpin patterns, stabilized by base pairing and base-pair stacking, into random coils. This phase transition is predicted to be of first order for stacking potential higher than some critical level, in accordance with experimental observations.

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. S B Smith, Y Cui and C Bustamante,Science 271, 795 (1996)

    Article  ADS  Google Scholar 

  2. S B Smith, L Finzi and C Bustamante,Science 258, 1122 (1992)

    Article  ADS  Google Scholar 

  3. C Bustamante, J F Marko, E D Siggia and S Smith,Science 265, 1599 (1994)

    Article  ADS  Google Scholar 

  4. P Cluzel, A Lebrun, C Heller, R Lavery, J-L Viovy, D Chatenay and F Caron,Science 271, 792 (1996)

    Article  ADS  Google Scholar 

  5. T R Strick, J-F Alleman, D Bensimon, A Bensimon and V Croquette,Science 271, 1835 (1996)

    Article  ADS  Google Scholar 

  6. T R Strick, J F Allemand, D Bensimon and V Croquette,Biophys. J. 74, 2016 (1998)

    Article  ADS  Google Scholar 

  7. C Bustamante, S B Smith, J Liphardt and D Smith,Curr. Opin. Struct. Biol. 10, 279 (2000)

    Article  Google Scholar 

  8. G L Wuite, S B Smith, M Young, D Keller and C Bustamante,Nature 404, 103 (2000)

    Article  ADS  Google Scholar 

  9. B Maier, D Bensimon and V Croquette,Proc. Nat. Acad. Sci. USA 97, 12 002 (2000)

    Article  Google Scholar 

  10. M N Dessinges, B Maier, Y Zhang, M Peliti, D Bensimon and V Croquette,Phys. Rev. Lett. 89, 248102 (2002)

    Article  ADS  Google Scholar 

  11. M Rief, H Clausen-Schaumann and H E Gaub,Nature Struct. Biol. 6, 346 (1999)

    Article  Google Scholar 

  12. J Liphardt, B Onoa, S B Smith, I J Tinoco and C Bustamante,Science 292, 733 (2001)

    Article  ADS  Google Scholar 

  13. W Saenger,Principles of nucleic acid structure (Springer, New York, 1984)

    Google Scholar 

  14. H J Zhou, Y Zhang and Z-C Ou-Yang,Phys. Rev. Lett. 82, 4560 (1999)

    Article  ADS  Google Scholar 

  15. H J Zhou, Y Zhang and Z-C Ou-Yang,Phys. Rev. E62, 1045 (2000)

    ADS  Google Scholar 

  16. J H White,Am. J. Math. 91, 693 (1969)

    Article  MATH  Google Scholar 

  17. Y Zhang, H J Zhou and Z-C Ou-Yang,Biophys. J. 78, 1979 (2000)

    Google Scholar 

  18. T R Strick, V Croquette and D Bensimon,Proc. Nat. Acad. Sci. USA 95, 579 (1998)

    Article  Google Scholar 

  19. H J Zhou and Z-C Ou-Yang,Mod. Phys. Lett. B13, 999 (1999)

    ADS  Google Scholar 

  20. A Montanari and M Mezard,Phys. Rev. Lett. 86, 2178 (2001)

    Article  ADS  Google Scholar 

  21. H J Zhou and Y Zhang,J. Chem. Phys. 114, 8694 (2001)

    Article  ADS  Google Scholar 

  22. S Lifson,J. Chem. Phys. 40, 3705 (1964)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, H., Zhang, Y. & Ou-Yang, ZC. The elastic theory of a single DNA molecule. Pramana - J Phys 61, 353–360 (2003). https://doi.org/10.1007/BF02708315

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02708315

Keywords

PACS Nos

Navigation