Conference publications

Mathematical Analysis of Equation Imitating DNA Base Oscillations

Yakushevich L. V., Gapa S., Awrejcewicz J.

"Математика. Компьютер. Образование". Cб. трудов XVI международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2009. Vol. 2. Pp. 135-144. (accepted)

Rotational oscillations of the bases: adenine (A), thymine (T), guanine (G) and cytosine (C), around one of two sugar-phosphate DNA chains are considered in detail. To construct the model equation, an analogy between rotational oscillations of the bases and rotational oscillations of a single mechanical pendulum was used. The equation was analyzed by the method of phase trajectories. As a result, the phase portraits corresponding to different base oscillators and to different models of surrounding conditions have been obtained.

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