Dynamics of moving breathers in a dissipation media. DNA applications.

1)E.S.Zamora, 2)Yakushevich L.V., 3)N.R. Quintero

1) 3) Departamento de Fisica Aplicada I, E.U.P., Universidad de Sevilla, Virgen de Africa 7, 41001, Sevilla, Spain
2) Institute of Cell Biophysics of the Russian Academy of Sciences, Institutskaya str. 3, Pushchino, Moscow region, 142290, Russia
3) Instituto Carlos I de fisica teorica y computacional Universidad de Granada, E-18071, Granada, Spain

In this work we study the effect of dissipation in the dynamical behavior of static and dynamics breathers. To model DNA we use the sine-Gordon equation, firstly applied for DNA by Englander et. al [1] and later on improved by many authors (see the review [2] by Yakushevich). We center our attention in the dissipation effects on the amplitude and velocity of the breather. Using parameters of DNA for the Englander-type model presented in [3] we relate the theoretical results with experimental data concerning to the existence and time relaxation of local wobbles in DNA. 1. Englander S.W., Kallenbach N.R., Heeger A.J., Krumhansl J.A. and Litwin A. \'Nature of the open state in long polynucleotide double helices: possibility of soliton excitations'. Proc. Natl. Acad. Sci. USA 77, 7222-7226, 1980. 2. Yakushevich L.V. Nonlinear Physics of DNA. Wiley, Weinheim, 2004.. 3. Yakushevich L.V. On the parameters of dynamical models of DNA. Math. Comp. Educ. 10, 195-203, 2003 (in Russin )

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