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This article is cited in 7 scientific papers (total 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.
Received: 24.02.2012
Citation:
L. V. Yakushevich, A. A. Ryasik, “Dynamical characteristics of DNA kinks and antikinks”, Computer Research and Modeling, 4:1 (2012), 209–217
Linking options:
https://www.mathnet.ru/eng/crm481 https://www.mathnet.ru/eng/crm/v4/i1/p209
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Abstract page: | 144 | Full-text PDF : | 147 | References: | 32 |
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