Popov Yuri O, Tkachenko Alexei V
Department of Physics, University of Michigan, 450 Church Street, Ann Arbor, MI 48109, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 May;71(5 Pt 1):051905. doi: 10.1103/PhysRevE.71.051905. Epub 2005 May 10.
We study the elastic response of a wormlike polymer chain with reversible kinklike structural defects. This is a generic model for (a) the double-stranded DNA with sharp bends induced by binding of certain proteins, and (b) effects of trans-gauche rotations in the backbone of the single-stranded DNA. The problem is solved both analytically and numerically by generalizing the well-known analogy to the quantum rotator. In the small stretching force regime, we find that the persistence length is renormalized due to the presence of the kinks. In the opposite regime, the response to the strong stretching is determined solely by the bare persistence length with exponential corrections due to the "ideal gas of kinks." This high-force behavior changes significantly in the limit of high bending rigidity of the chain. In that case, the leading corrections to the mechanical response are likely to be due to the formation of multikink structures, such as kink pairs.
我们研究了具有可逆纽结状结构缺陷的蠕虫状聚合物链的弹性响应。这是一个通用模型,用于(a)由某些蛋白质结合诱导产生尖锐弯曲的双链DNA,以及(b)单链DNA主链中反式-顺式旋转的影响。通过推广到量子转子的著名类比,该问题得到了解析和数值求解。在小拉伸力 regime下,我们发现由于纽结的存在,持久长度被重整化。在相反的 regime下,对强拉伸的响应仅由裸持久长度决定,并由于“纽结理想气体”而有指数修正。在链的高弯曲刚度极限下,这种高力行为会发生显著变化。在那种情况下,对机械响应的主要修正可能是由于多纽结结构的形成,例如纽结对。