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arXiv 1302.2289cond-mat.soft
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具有内部结构的纤维的高能变形和DNA的局部转矩诱导熔化

High-energy deformation of filaments with internal structure and localized torque-induced melting of DNA

Arthur A. Evans, Alex J. Levine

摘要:

我们开发了一个连续弹性的方法来检查弯曲力学的半柔性长丝与当地的内部自由度,耦合到弯曲模量。我们应用该模型研究了双链DNA寡聚体(短于其热持久长度)的非线性力学,该寡聚体的自由端由单链DNA链连接。Qu等人[Europhys.信件:$\bf{94}$,18003,2011],显示出与在施加的扭矩下双链DNA的局部熔融相关的非线性应变软化,并用作研究在大能量变形下DNA的非线性弹性的模型系统。我们表明,可以定量地解释所观察到的弯曲力学使用增强蠕虫状链模型,螺旋线圈蠕虫状链。我们还预测,高度弯曲和部分熔融的双链DNA应该表现出特别大的端到端的波动与熔融区域的长度的波动,并提出适当的实验测试。我们认为,这里讨论的增广蠕虫状链模型是一个有用的分析方法的DNA或其他生物聚合物系统的非线性力学。

英文摘要:

We develop a continuum elastic approach to examining the bending mechanics of semiflexible filaments with a local internal degree of freedom that couples to the bending modulus. We apply this model to study the nonlinear mechanics of a double stranded DNA oligomer (shorter than its thermal persistence length) whose free ends are linked by a single standed DNA chain. This construct, studied by Qu et al. [Europhys. Lett., $\bf{94}$, 18003, 2011], displays nonlinear strain softening associated with the local melting of the double stranded DNA under applied torque and serves as a model system with which to study the nonlinear elasticity of DNA under large energy deformations. We show that one can account quantitatively for the observed bending mechanics using an augmented worm-like chain model, the helix coil worm-like chain. We also predict that the highly bent and partially molten dsDNA should exhibit particularly large end-to-end fluctuations associated with the fluctuation of the length of the molten region, and propose appropriate experimental tests. We suggest that the augmented worm-like chain model discussed here is a useful analytic approach to the nonlinear mechanics of DNA or other biopolymer systems.

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