Geodesic
Topological solitons in the homogeneous asymmetric model of a DNA molecule
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 60-67

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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. 
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     author = {F. K. Zakiryanov and S. R. Khamzin},
     title = {Topological solitons in the homogeneous asymmetric model of a {DNA} molecule},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {60--67},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2010_3_a9/}
}
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F. K. Zakiryanov; S. R. Khamzin. Topological solitons in the homogeneous asymmetric model of a DNA molecule. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 3 (2010), pp. 60-67. http://geodesic.mathdoc.fr/item/VYURM_2010_3_a9/