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JOURNALS // Matematicheskaya Biologiya i Bioinformatika // Archive

Mat. Biolog. Bioinform., 2016 Volume 11, Issue 1, Pages 81–90 (Mi mbb252)

This article is cited in 14 papers

Mathematical Modeling

On the DNA kink motion under the action of constant torque

L. V. Yakushevicha, V. N. Balashovab, F. K. Zakiryanovb

a Institute of cell biophysics RAS, Pushchino, Moscow region, Russia
b Bashkir State University, Ufa, Russia

Abstract: The influence of the torsion moment on the DNA kink motion is studied by the methods of mathematical modeling. Time dependence of the kink coordinate, velocity, size, and energy on the different values of the parameters of the external torsion moment have been found. It has been shown that by changing the parameters, by switching on and off of the external action, one could regulate the velocity and the direction of the kink movement. Estimation of the torque value necessary for the kink (open state) movement with the velocity comparable to the transcription velocity, has been made.

Key words: DNA dynamics, angular oscillations of nitrous bases, torque, sine-Gordon equation, kink.

UDC: 577.323

Received 21.03.2016, 30.03.2016, Published 18.04.2016

DOI: 10.17537/2016.11.81



© Steklov Math. Inst. of RAS, 2026