Simple combined model for nonlinear excitations in DNA

Abstract

We propose a simple model for DNA denaturation bases on the pendulum model of Englander [Proc. Natl. Acad. Sci. U.S.A. 77, 7222 (1980)] and the microscopic model of Peyrard and Bishop [Phys. Rev. Lett. 62, 2755 (1989)], so-called "combined model." The main parameters of our model are the coupling constant k along each strand, the mean stretching y* of the hydrogen bonds, the ratio of the damping constant and driven force gamma/F. We show that both the length L of unpaired bases and the velocity v of kinks depend on not only the coupling constant k but also the temperature T. Our results are in good agreement with previous works.