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.