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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
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
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
Linking options:
https://www.mathnet.ru/eng/mbb218 https://www.mathnet.ru/eng/mbb/v10/i1/p164
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