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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 

grin_aa@mail.ru

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.
2015;10(1):164-177
doi: 10.17537/2015.10.164
published in English

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

 

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