Iakushevich L V, Kashapova G R, Zakir'ianov F K
Biofizika. 2012 Jan-Feb;57(1):21-6.
The movement of the kink in homogeneous polynucleotide chains of DNA under the influence of three kinds of an external periodic field--with constant, growing and decreasing frequencies is investigated in the work. Dependences of speed and coordinate of the kink from time have been found with the help of McLaughlin and Scott energetic method. Phase trajectories of the kink have been constructed. It has been shown that in the case of external action with constant frequency, the kink aspires to a limiting cycle; in the case of an external field with increasing frequency it tends to a stationary state corresponding to a special point of stable focus type; in the case of an external field with decreasing frequency, the kink transfers from one stationary state (unstable focus) to another (stable focus). The obtained results show the possibility of governing the kink movement by slowly changing frequency.
本文研究了在三种外部周期性场(频率恒定、频率增加和频率降低)影响下,DNA均匀多核苷酸链中纽结的运动。借助麦克劳克林和斯科特能量法,得出了纽结速度和坐标随时间的依赖关系。构建了纽结的相轨迹。结果表明,在频率恒定的外部作用下,纽结趋向于一个极限环;在频率增加的外部场作用下,它趋向于对应于稳定焦点型特殊点的稳态;在频率降低的外部场作用下,纽结从一个稳态(不稳定焦点)转移到另一个稳态(稳定焦点)。所得结果表明,通过缓慢改变频率来控制纽结运动是可能的。