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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2012 Volume 4, Issue 1, Pages 209–217 (Mi crm481)

This article is cited in 7 papers

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Dynamical characteristics of DNA kinks and antikinks

L. V. Yakushevich, A. A. Ryasik

Institute of Cell Biophysics RAS, Insitutskaya str. 3, Puschino, Moscow region, 142290, Russia

Abstract: In this article in the frameworks of the sine-Gordon mode we have calculated the dynamical characteristics of kinks and antikinks activated in the homogeneous polynucleotide chains each if them contains only one of the types of the bases: adenines, thymines, guanines or cytosines. We have obtained analytical formulas and constructed the graphs for the kink and antikink profiles and for their energy density in the 2D- and 3D-dimension. Mass of kinks and antikinks, their energy of rest and their size have been estimated. The trajectories of kink and antikink motion in the phase space have been calculated in the 2D- and 3D-dimension.

Keywords: mathematical modeling, sine-Gordon equation, DNA-mobility, biophysics.

UDC: 577.323; 517.957

Received: 24.02.2012

DOI: 10.20537/2076-7633-2012-4-1-209-217



© Steklov Math. Inst. of RAS, 2025