Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium.
J Chem Phys. 2017 Jun 7;146(21):214902. doi: 10.1063/1.4984039.
It is well established that many physical properties of DNA at sufficiently long length scales can be understood by means of simple polymer models. One of the most widely used elasticity models for DNA is the twistable worm-like chain (TWLC), which describes the double helix as a continuous elastic rod with bending and torsional stiffness. An extension of the TWLC, which has recently received some attention, is the model by Marko and Siggia, who introduced an additional twist-bend coupling, expected to arise from the groove asymmetry. By performing computer simulations of two available versions of oxDNA, a coarse-grained model of nucleic acids, we investigate the microscopic origin of twist-bend coupling. We show that this interaction is negligible in the oxDNA version with symmetric grooves, while it appears in the oxDNA version with asymmetric grooves. Our analysis is based on the calculation of the covariance matrix of equilibrium deformations, from which the stiffness parameters are obtained. The estimated twist-bend coupling coefficient from oxDNA simulations is G=30±1 nm. The groove asymmetry induces a novel twist length scale and an associated renormalized twist stiffness κ≈80 nm, which is different from the intrinsic torsional stiffness C≈110 nm. This naturally explains the large variations on experimental estimates of the intrinsic stiffness performed in the past.
已有充分的证据表明,在足够长的长度尺度上,许多 DNA 的物理性质可以通过简单的聚合物模型来理解。用于描述 DNA 的最广泛使用的弹性模型之一是可扭曲的类蠕虫链(TWLC),它将双螺旋描述为具有弯曲和扭转刚度的连续弹性棒。TWLC 的一个扩展最近受到了一些关注,即 Marko 和 Siggia 的模型,该模型引入了额外的扭曲-弯曲耦合,预计这种耦合源于沟槽不对称性。通过对两种可用的 oxDNA 版本(一种核酸的粗粒模型)进行计算机模拟,我们研究了扭曲-弯曲耦合的微观起源。我们表明,在具有对称沟槽的 oxDNA 版本中,这种相互作用可以忽略不计,而在具有不对称沟槽的 oxDNA 版本中,它会出现。我们的分析基于平衡变形协方差矩阵的计算,从中获得了刚度参数。从 oxDNA 模拟中估计的扭曲-弯曲耦合系数为 G=30±1nm。沟槽不对称性诱导出一种新的扭曲长度尺度和相关的重整化扭曲刚度 κ≈80nm,这与内在扭转刚度 C≈110nm 不同。这自然解释了过去进行的关于内在刚度的大量实验估计值的巨大变化。