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