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Результаты поиска по 'уравнение синус-Гордона':

Найдено статей: 11

Якушевич Л.В., Рясик А.А.
Динамические характеристики кинков и антикинков ДНК
Компьютерные исследования и моделирование, 2012, т. 4, № 1, с. 209-217

В данной работе в рамках модели синус-Гордона рассчитываются динамические характеристики кинков и антикинков, активированных в однородных полинуклеотидных цепочках, каждая из которых содержит только один из видов оснований: аденины, тимины, гуанины или цитозины. Получены аналитические формулы и построены графики для профилей кинков и антикинков и для плотности их энергии в 2D- и 3D-формате. Вычислены масса кинков и антикинков, их энергия покоя и размеры. Рассчитаны траектории движения кинков и антикинков в фазовом пространстве в 2D- и 3D-формате.

Ключевые слова: математическое моделирование, уравнение синус-Гордона, подвижность ДНК, биофизика.

Yakushevich L.V., Ryasik A.A.
Dynamical characteristics of DNA kinks and antikinks
Computer Research and Modeling, 2012, v. 4, no. 1, pp. 209-217

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.
Views (last year): 2. Citations: 7 (RSCI).

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International Interdisciplinary Conference "Mathematics. Computing. Education"