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Volume 10   Issue 1   Year 2015
Kinks Behavior near the Boundaries Separating Homogeneous Regions of DNA

Grinevich A.A., Yakushevich L.V.

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.
Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2015.10.164
published in English

Abstract (eng.)
Abstract (rus.)
Full text (eng., pdf)


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