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Matematicheskaya Biologiya i Bioinformatika, 2015, Volume 10, Issue 1, Pages 164–177
DOI: https://doi.org/10.17537/2015.10.164 (Mi mbb218) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

Kinks behavior near the boundaries separating homogeneous regions of DNA

A. A. Grinevich, L. V. Yakushevich

Institute of Cell Biophysics, Russian Academy of Sciences, Pushchino, Moscow Region, Russia
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DOI: https://doi.org/10.17537/2015.10.164
Abstract: In this paper we derive a new modification of the sine-Gordon equation that is suitable for simulation of angular oscillations of nitrous bases in a heterogeneous DNA. The equation is applied to study the behavior of nonlinear conformational waves — kinks — near the boundaries separating homogeneous regions in the DNA sequence.
Key words: mathematical modeling, sine-Gordon equation, the dynamics of DNA, kink trajectory.
Received 25.03.2015, Published 17.04.2015
Document Type: Article
UDC: 519.8
Language: English
Citation: A. A. Grinevich, L. V. Yakushevich, “Kinks behavior near the boundaries separating homogeneous regions of DNA”, Mat. Biolog. Bioinform., 10:1 (2015), 164–177
Citation in format AMSBIB
\Bibitem{GriYak15}
\by A.~A.~Grinevich, L.~V.~Yakushevich
\paper Kinks behavior near the boundaries separating homogeneous regions of DNA
\jour Mat. Biolog. Bioinform.
\yr 2015
\vol 10
\issue 1
\pages 164--177
\mathnet{http://mi.mathnet.ru/mbb218}
\crossref{https://doi.org/10.17537/2015.10.164}
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  • https://www.mathnet.ru/eng/mbb/v10/i1/p164
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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