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JETP Letters

, Volume 86, Issue 4, pp 278–283 | Cite as

Symmetries of electrostatic interaction between DNA molecules

  • V. Golo
  • E. Kats
  • Y. Volkov
Article

Abstract

A model for pair interaction U of DNA molecules generated by the discrete dipole moments of base-pairs and the charges of phosphate groups is studied. A noncommutative group of eighth order ℒ of symmetries that leave U invariant is found. The minima are classified with the use of group ℒ and numerical methods are employed for finding them. The minima may correspond to several cholesteric phases, as well as to phases formed by crosslike conformations of molecules at an angle close to 90°—the “snowflake phase.” The results depend on the effective charge Q of the phosphate group, which can be modified by the polycations or the ions of metals. The snowflake phase could exist for Q above the threshold Q C. Below Q C, there could be several cholesteric phases. Close to Q C, the snowflake phase could change into the cholesteric one at constant distance between adjacent molecules.

PACS numbers

87.15.-v 

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References

  1. 1.
    C. Robinson, Tetrahedron 13, 219 (1961).CrossRefGoogle Scholar
  2. 2.
    Yu. M. Yevdokimov, Zh. Krist. Prakt. Isp. 3, 10 (2003).Google Scholar
  3. 3.
    Proceedings of International Interdisciplinary Workshop on Structure and Function of DNA. A Physical Approach (Abbay du Sainte-Odile, Alsace, France, 1996).Google Scholar
  4. 4.
    R. Rill, T. E. Strzelecka, M. W. Davidson, and D. H. van Winkle, Physica A (Amsterdam) 176, 87 (1991).ADSGoogle Scholar
  5. 5.
    D. B. Dupre and R. W. Duke, J. Chem. Phys. 63, 143 (1975).CrossRefADSGoogle Scholar
  6. 6.
    F. Livolant, J. Phys. (Paris) 47, 1605 (1986).Google Scholar
  7. 7.
    Y. M. Yevdokimov, S. G. Skuridin, and V. I. Salyanov, Liq. Cryst. 3, 1443 (1988).Google Scholar
  8. 8.
    M. A. Zakharov, Yu. M. Yevdokimov, S. G. Skuridin, and Yu. D. Nechipurenko, NSTI-Nanotech 2005, www.nsti.org, ISBN 0-9767985, Vol. 1, 2005; Liq. Cryst. 3, 1443 (1988).Google Scholar
  9. 9.
    E. Raspaud, D. Durand, and F. Livolant, Biophys. J. 88, 392 (2004).CrossRefGoogle Scholar
  10. 10.
    E. Raspaud, J. Pelta, M. De Fruttos, and F. Livolant, Phys. Rev. Lett. 97, 068103-1 (2006).Google Scholar
  11. 11.
    A. Y. Grossberg, T. T. Nguen, and B. I. Shklovskii, Rev. Mod. Phys. 74, 329 (2002).CrossRefADSGoogle Scholar
  12. 12.
    A. A. Kornyshev and S. Leikin, J. Chem. Phys. 107, 3656 (1997).CrossRefADSGoogle Scholar
  13. 13.
    A. A. Kornyshev and S. Leikin, Phys. Rev. Lett. 84, 2537 (2000).CrossRefADSGoogle Scholar
  14. 14.
    A. A. Kornyshev, D. J. Lee, S. Leikin, et al., Phys. Rev. Lett. 95, 148102-1 (2005).Google Scholar
  15. 15.
    A. A. Kornyshev and S. Leikin, Proc. Natl. Acad. Sci. USA 95, 13 579 (1998).Google Scholar
  16. 16.
    J. Sponer, J. Leszcynski, and P. Hobza, Biopolymers 61, 3 (2002).CrossRefGoogle Scholar
  17. 17.
    Y. H. Kim, J. Phys. (Paris) 43, 559 (1982).Google Scholar
  18. 18.
    B. Samorĭ, M. Osipov, I. Domini, and A. Bartolini, Int. J. Macromol. 15, 353 (1993).CrossRefGoogle Scholar
  19. 19.
    V. L. Golo, E. I. Kats, and I. P. Kikotx, Pis’ma Zh. Éksp. Teor. Fiz. 84, 334 (2006) [JETP Lett. 84, 275 (2006)].Google Scholar
  20. 20.
    J. S. Schwinger, L. L. Deraad, K. A. Milton, and W. Y. Tsai, Classical Electrodynamics (Perseus, London, 1998).Google Scholar
  21. 21.
    E. P. Wigner, Phys. Rev. 46, 1002 (1934).zbMATHCrossRefADSGoogle Scholar
  22. 22.
    S. A. Kuznetsova, C. Clusel, E. Ugarte, et al., Nucleic Acids Res. 24, 4783 (1996).CrossRefGoogle Scholar
  23. 23.
    M. V. Rogacheva, A. V. Bochenkova, S. A. Kuznetsova, et al., J. Phys. Chem. 111, 432 (2007).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia
  3. 3.Institut Laue-LangevinGrenobleFrance

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