Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

DNA kinks and bubbles: Temperature dependence of the elastic energy of sharply bent 10-nm-size DNA molecules

Daniel S. Sanchez, Hao Qu, Delenda Bulla, and Giovanni Zocchi*

  • Department of Physics and Astronomy, University of California Los Angeles, Los Angeles, California 90095-1547, USA

  • *zocchi@physics.ucla.edu

Phys. Rev. E 87, 022710 – Published 15 February, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.022710

Abstract

A 10-nm-long DNA molecule can bend through large angles reversibly. Past the linear regime, its equilibrium nonlinear bending elasticity is governed by a critical bending torque τc30pN×nm at which the molecule develops a kink. This nonlinearity has long been attributed to the nucleation of a bubble or melted region in the molecule. Here we measure the temperature dependence of the critical bending torque for nicked DNA, and determine that the entropy associated with the kink in the nonlinear regime is negligible. Thus in the case of nicked DNA the kink is not a bubble, but a compact region deformed beyond a yield strain. We further argue that, with our boundary conditions, the same is likely true for intact DNA. The present measurements confirm that the critical bending torque τc is a materials parameter of DNA mechanics analogous to the bending modulus B200pN×nm.

Article Text

References (27)

  1. C. Bustamante, Z. Bryant, and S. B. Smith, Nature (London) 421, 423 (2003).
  2. L. D. Landau and E. M. Lifshitz. Theory of Elasticity, 3rd ed., (Elsevier, New York, 1986), Vol. 7.
  3. L. Mahadevan, J. Bico, and G. McKinley, Europhys. Lett. 65, 323 (2004).
  4. G. Zocchi, Annu. Rev. Biophys. 38, 75 (2009).
  5. T. E. Cloutier and J. Widom, Mol. Cell 14, 355 (2004).
  6. J. Yan and J. F. Marko, Phys. Rev. Lett. 93, 108108 (2004).
  7. Q. Du, C. Smith, N. Shiffeldrim, M. Vologodskaia, and A. Vologodskii, Proc. Natl. Acad. Sci. 102, 5397 (2005).
  8. Q. Du, A. Kotlyar, and A. Vologodskii, Nucleic. Acids. Res. 36, 1120 (2008).
  9. H. Qu, C.-Y. Tseng, Y. Wang, A. J. Levine, and G. Zocchi, Europhys. Lett. 90, 10803 (2010).
  10. H. Qu and G. Zocchi, Europhys. Lett. 94, 10803 (2011).
  11. H. Qu, Y. Wang, C.-Y. Tseng, and G. Zocchi, Phys. Rev. X 1, 021008 (2011).
  12. J. Yan, R. Kawamura, and J. F. Marko, Phys. Rev. E 71, 061905 (2005).
  13. T. E. Cloutier and J. Widom, Proc. Natl. Acad. Sci. 102, 3645 (2005).
  14. K. A. Schallhorn, K. O. Freedman, J. M. Moore, J. Lin, and P. C. Kea, Appl. Phys. Lett. 87, 033901 (2005).
  15. C. Yuan, E. Rhoades, X. W. Lou, and L. A. Archer, Nucleic Acids Res. 34, 4554 (2006).
  16. S. Ares and G. Kalosakas, Nano Lett. 7, 307 (2007).
  17. J. Palmeri, M. Manghi, and N. Destainville, Phys. Rev. E 77, 011913 (2008).
  18. A. A. Evans and A. J. Levine, Phys. Rev. E 85, 051915 (2012).
  19. P. A. Wiggins, T. van der Heijden, F. Moreno-Herrero, A. Spakowitz, R. Phillips, J. Widom, C. Dekker, and P. C. Nelson, Nat. Nanotechnol. 1, 137 (2006).
  20. A. Wang and G. Zocchi, Biophys. J. 96, 2344 (2009).
  21. C. Bustamante, J. F. Marko, E. D. Siggia, and S. Smith, Science 265, 1599 (1994).
  22. S. Kumar and G. Mishra, Soft Matter 7, 4595 (2011).
  23. J. F. Marko and E. D. Siggia, Macromolecules 28, 8759 (1995).
  24. S. B. Smith, Y. Cui, and C. Bustamante, Science 271, 795 (1996).
  25. R. Vafabakhsh and T. Ha, Science 337, 1097 (2012).
  26. R. A. Forties, R. Bundschuh, and M. G. Poirier, Nucleic Acids Res. 37, 4580 (2009).
  27. S. Geggier, A. Kotlyar, and A. Vologodskii, Nucleic Acids Res. 39, 1419 (2011).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation