On the modeling of the motion of a transcription bubble under constant torque

Abstract

The motion of a transcription bubble under constant torque is investigated. The motion of the bubble was modeled by a modified sine-Gordon equation. Numerical solutions of this equation (kinks) were found. Trajectories of the kink motion in homogeneous and inhomogeneous sequences were calculated for different model values of the torque M_τ and the initial velocity v₀. It was shown that a change in the torsion moment M_τ has a significant impact on the character of the kink trajectory. At the same time, a change in the initial kink velocity v₀ in a rather wide range of values does not affect the character of the kink trajectory.