具有振动和旋转耦合运动的DNA模型中的电荷传输

Charge transport in DNA model with vibrational and rotational coupling motions.

作者信息

Ngoubi H, Ben-Bolie G H, Kofané T C

机构信息

Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.

Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon.

出版信息

J Biol Phys. 2017 Sep;43(3):341-353. doi: 10.1007/s10867-017-9455-6. Epub 2017 Jul 20.

DOI:10.1007/s10867-017-9455-6

PMID:28730355

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6104900/

Abstract

The dynamics of the Peyrard-Bishop model for vibrational motion of DNA dynamics, which has been extended by taking into account the rotational motion for the nucleotides (Silva et al., J. Biol. Phys. 34, 511-519, 2018) is studied. We report on the presence of the modulational instability (MI) of a plane wave for charge migration in DNA and the generation of soliton-like excitations in DNA nucleotides. We show that the original differential-difference equation for the DNA dynamics can be reduced in the continuum approximation to a set of three coupled nonlinear equations. The linear stability analysis of continuous wave solutions of the coupled systems is performed and the growth rate of instability is found numerically. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave numbers fall in the instability domain.

摘要

研究了佩亚尔德-毕晓普模型（用于DNA动力学的振动运动）的动力学，该模型已通过考虑核苷酸的旋转运动进行了扩展（席尔瓦等人，《生物物理杂志》34卷，511 - 519页，2018年）。我们报告了DNA中电荷迁移的平面波调制不稳定性（MI）的存在以及DNA核苷酸中类孤子激发的产生。我们表明，DNA动力学的原始差分-差分方程在连续介质近似下可简化为一组三个耦合的非线性方程。对耦合系统的连续波解进行了线性稳定性分析，并通过数值方法找到了不稳定性的增长率。数值模拟表明，只要波数落在不稳定性域内，分析方法在产生波包方面是有效的。