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 3, Pages 60–67 (Mi vyurm194)  
Physics

Topological solitons in the homogeneous asymmetric model of a DNA molecule

F. K. Zakiryanov, S. R. Khamzin

Bashkir State University
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Abstract: The mathematical model of the nonlinear dynamics of homogeneous asymmetric model of a DNA artificial molecule is considered. Solitonic solutions describing conformation changes in processes of functioning of DNA are obtained. Influence of dissipation on soliton dynamics is researched. It is shown that soliton propagation through the borders of homogeneous areas in artificial sequences of DNA leads to changes in soliton topology.
Keywords: DNA, nonlinear dynamics, topological solitons.
Received: 22.03.2010
Document Type: Article
UDC: 577.3.01
Language: Russian
Citation: F. K. Zakiryanov, S. R. Khamzin, “Topological solitons in the homogeneous asymmetric model of a DNA molecule”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2010, no. 3, 60–67
Citation in format AMSBIB
\Bibitem{ZakKha10}
\by F.~K.~Zakiryanov, S.~R.~Khamzin
\paper Topological solitons in the homogeneous asymmetric model of a DNA molecule
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2010
\issue 3
\pages 60--67
\mathnet{http://mi.mathnet.ru/vyurm194}
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