This article is cited 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.

UDC: 519.8

Received 25.03.2015, Published 17.04.2015

Language: English

DOI: 10.17537/2015.10.164