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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2010, Issue 2, Pages 57–66 (Mi vyurm176)  
Physics

Theoretical study of influence of dissipation and point external impact on DNA dynamics

F. K. Zakiriyanov, T. A. Kiseleva

Bashkir State University
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Abstract: Two-chained DNA model the basic contribution to which dynamic is given by rotation of the bases around sugar-phosphate backbone is presented. Two types of solutions — breathers and kink-antikink pairs — are obtained using generalized Van der Pol method. These solutions describe initial stages of thermal DNA denaturation and open state formation during transcription respectively. The influence of two types of external forces on the model dynamics is also investigated.
Keywords: nonlinear dynamics of DNA, breathers, Van der Pol method.
Received: 19.03.2009
Document Type: Article
UDC: 539.2
Language: Russian
Citation: F. K. Zakiriyanov, T. A. Kiseleva, “Theoretical study of influence of dissipation and point external impact on DNA dynamics”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2010, no. 2, 57–66
Citation in format AMSBIB
\Bibitem{ZakKis10}
\by F.~K.~Zakiriyanov, T.~A.~Kiseleva
\paper Theoretical study of influence of dissipation and point external impact on~DNA dynamics
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2010
\issue 2
\pages 57--66
\mathnet{http://mi.mathnet.ru/vyurm176}
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