Abstract
The order-disorder (helix-coil) transition in circular closed DNA (ccDNA) is described on the basis of the open chain DNA (ocDNA) model, proposed earlier, which considers the transition as loop formation. The Hamiltonian of the ccDNA model is constructed on the basis of the open chain model taking into account topological restrictions. These restrictions are taken into account through hydrogen bond reduced energy dependence on the fraction of broken hydrogen bonds in the macromolecule. The invariance of the order parameter (helicity degree) has been shown for ocDNA and ccDNA. This invariance results in the interdependence between temperatures of ocDNA and ccDNA with the same value of helicity degree. The dependence can be obtained with the help of the derivative of reduced energy of hydrogen bonding dependence on instantaneous denaturation degree. Thus, it has been shown that the melting curve of ccDNA can be obtained from the consequent curve of ocDNA through the redefinition of temperature scale. The calculated and experimentally measured melting curves have been compared under inversion conditions and qualitative agreement between them is found.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Vinograd, J. Lebowitz, and R. J. Watson, Mol. Biol. 33, 173 (1968).
M. D. Frank-Kamenetskii and A. D. Frank-Kamenetskii, Mol. Biol. 3, 375 (1969).
Yu. L. Lubchenko, M. D. Frank-Kamenetskii, A. V. Vologodskii, et al., Biopolymers 15, 1019 (1976).
A. V. Gagua, B. N. Belintsev, and Yu. L. Lyubchenko, Nature 294, 662 (1981).
A. V. Gagua and B. N. Belintsev, Mol. Biol. 23, 52 (1989).
J. F. Marko and E. D. Siggia, Phys. Rev. E 52, 2912 (1995).
J. F. Marko, Phys. Rev. E 55, 1758 (1997).
I. Kulic, Phys. Rev. E 62, 7123 (2000).
S. Kutter and E. M. Terentjev, Eur. Phys. J. B 21, 455 (2001).
F. Julicher, Phys. Rev. E 49, 2429 (1994).
C. J. Benham, Phys. Rev. E 53, 2984 (1996).
A. V. Grigoryan, Biophys. J. 84, 580a (2003).
A. V. Grigoryan, A. V. Badasyan, E. Sh. Mamasakhlisov, et al., Contemp. Phys. 37, 59 (2002).
V. F. Morozov, E. Sh. Mamasakhlisov, Sh. A. Hayryan, and Chin-Kun Hu, Physica A 281, 51 (2000).
Author information
Authors and Affiliations
Additional information
From Yadernaya Fizika, Vol. 68, No. 10, 2005, pp. 1748–1751.
Original English Text Copyright © 2005 by Grigoryan, Badasyan, Mamasakhlisov, Morozov.
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Grigoryan, A.V., Badasyan, A.V., Mamasakhlisov, E.S. et al. The invariance of order parameter and temperature redefinition in helix-coil transition theory of circular closed DNA. Phys. Atom. Nuclei 68, 1685–1688 (2005). https://doi.org/10.1134/1.2121917
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.2121917