Dynamical characteristics of DNA kinks and antikinks

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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
Citation in English: Yakushevich L.V., Ryasik A.A. Dynamical characteristics of DNA kinks and antikinks // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 209-217
Citation in English: Yakushevich L.V., Ryasik A.A. Dynamical characteristics of DNA kinks and antikinks // Computer Research and Modeling, 2012, vol. 4, no. 1, pp. 209-217
DOI: 10.20537/2076-7633-2012-4-1-209-217
According to Crossref, this article is cited by:
  • Andrei Anatolevich Grinevich, Artem Andreevich Ryasik, L. V. Yakushevich. Motion of DNA open states influenced by random force. // Computer Research and Modeling. 2015. — V. 7, no. 6. — P. 1295. DOI: 10.20537/2076-7633-2015-7-6-1295-1307
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