论文标题
耦合Schrödinger方程作为DNA中链激发传输的模型
Coupled Schrödinger equations as a model of interchain excitation transport in the DNA
论文作者
论文摘要
在我们的报告中，我们将两个弱耦合的Schrödinger方程视为DNA双螺旋中链链能传输的模型。考虑到DNA的扭转动力学，我们使用Yakushevich型模型的还原。在以前的作品中，仅研究了小幅度激发和固定动力学，而我们专注于双螺旋的非平稳动力学。我们将系统视为两个弱相互作用的DNA链的模型。假设最初只有一个链条以呼吸器的形式感到兴奋，那么我们证明了不变的存在，这允许减少问题的顺序并考虑相位平面的系统。提供的分析证明了用于预测其定位在其中一条链上的定期链激发过渡的分析工具。该技术还考虑了随着时间的推移的激发传播。
In our report we consider two weakly coupled Schrödinger equations as a model of the interchain energy transport in the DNA double-helix. We use the reduction of the Yakushevich-type model considering the torsional dynamics of the DNA. In the previous works only small amplitude excitations and stationary dynamics were investigated, while we focus on the non-stationary dynamics of the double-helix. We consider the system as a model of two weakly interacting DNA strands. Supposing that initially only one of the chains is excited in form of breather we demonstrate the existence of invariant which allows to reduce the order of the problem and consider the system of the phase plane. The analysis provided demonstrates analytical tool for prediction of the periodic interchain excitation transitions of its localization on one of the chains. The technique also takes into account the spreading of the excitations with time.
