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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. Robinson, Tetrahedron 13, 219 (1961).
Yu. M. Yevdokimov, Zh. Krist. Prakt. Isp. 3, 10 (2003).
Proceedings of International Interdisciplinary Workshop on Structure and Function of DNA. A Physical Approach (Abbay du Sainte-Odile, Alsace, France, 1996).
R. Rill, T. E. Strzelecka, M. W. Davidson, and D. H. van Winkle, Physica A (Amsterdam) 176, 87 (1991).
D. B. Dupre and R. W. Duke, J. Chem. Phys. 63, 143 (1975).
F. Livolant, J. Phys. (Paris) 47, 1605 (1986).
Y. M. Yevdokimov, S. G. Skuridin, and V. I. Salyanov, Liq. Cryst. 3, 1443 (1988).
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).
E. Raspaud, D. Durand, and F. Livolant, Biophys. J. 88, 392 (2004).
E. Raspaud, J. Pelta, M. De Fruttos, and F. Livolant, Phys. Rev. Lett. 97, 068103-1 (2006).
A. Y. Grossberg, T. T. Nguen, and B. I. Shklovskii, Rev. Mod. Phys. 74, 329 (2002).
A. A. Kornyshev and S. Leikin, J. Chem. Phys. 107, 3656 (1997).
A. A. Kornyshev and S. Leikin, Phys. Rev. Lett. 84, 2537 (2000).
A. A. Kornyshev, D. J. Lee, S. Leikin, et al., Phys. Rev. Lett. 95, 148102-1 (2005).
A. A. Kornyshev and S. Leikin, Proc. Natl. Acad. Sci. USA 95, 13 579 (1998).
J. Sponer, J. Leszcynski, and P. Hobza, Biopolymers 61, 3 (2002).
Y. H. Kim, J. Phys. (Paris) 43, 559 (1982).
B. Samorĭ, M. Osipov, I. Domini, and A. Bartolini, Int. J. Macromol. 15, 353 (1993).
V. L. Golo, E. I. Kats, and I. P. Kikotx, Pis’ma Zh. Éksp. Teor. Fiz. 84, 334 (2006) [JETP Lett. 84, 275 (2006)].
J. S. Schwinger, L. L. Deraad, K. A. Milton, and W. Y. Tsai, Classical Electrodynamics (Perseus, London, 1998).
E. P. Wigner, Phys. Rev. 46, 1002 (1934).
S. A. Kuznetsova, C. Clusel, E. Ugarte, et al., Nucleic Acids Res. 24, 4783 (1996).
M. V. Rogacheva, A. V. Bochenkova, S. A. Kuznetsova, et al., J. Phys. Chem. 111, 432 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Golo, V., Kats, E. & Volkov, Y. Symmetries of electrostatic interaction between DNA molecules. Jetp Lett. 86, 278–283 (2007). https://doi.org/10.1134/S002136400716014X
Received:
Issue Date:
DOI: https://doi.org/10.1134/S002136400716014X