On the dimensionless model of the transcription bubble dynamics

The dynamics of transcription bubbles is modeled using a system of nonlinear differential equations, the one-soliton solutions of which (kinks), are interpreted as a mathematical images of transcription bubbles. These equations contain a lot of DNA dynamic parameters, including the moments of inerti...

Полное описание

Библиографическая информация
Опубликовано в: :AIMS Biophysics Vol. 10, № 2. P. 205-219
Главный автор: Krasnobaeva, Larisa A.
Другие авторы: Yakushevich, Ludmila V.
Формат: Статья в журнале
Язык:English
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Online-ссылка:http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001132877
Описание
Итог:The dynamics of transcription bubbles is modeled using a system of nonlinear differential equations, the one-soliton solutions of which (kinks), are interpreted as a mathematical images of transcription bubbles. These equations contain a lot of DNA dynamic parameters, including the moments of inertia of nitrous bases, distances between base pairs, distances from the centers of mass of bases to sugar-phosphate chains, rigidity of the sugar-phosphate backbone, and interactions between bases within pairs. However, estimates of the parameter values are often difficult, and it is not convenient or simple to operate with such multi-parameter systems. One of the ways to reduce the number of the DNA dynamic parameters is to transform the model equations to a dimensionless form. In this work, we construct a dimensionless DNA model and apply it to study transcription bubbles dynamics. We show that transformation to a dimensionless form really leads to a decrease in the number of the model parameters and really simplifies the analysis of model equations and their solutions.
Библиография:Библиогр.: 40 назв.
ISSN:2377-9098