特稿

DNA弹性非线性:刚柔共济的奇妙组合

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  • 上海大学 上海市应用数学和力学研究所,上海 200072

收稿日期: 2012-07-18

  网络出版日期: 2012-10-30

基金资助

211工程科研启动基金资助项目(A15B00209032)

DNA Elastic Nonlinearities: Remarkable Combination of  High Compliance and High Rigidity

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  • Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received date: 2012-07-18

  Online published: 2012-10-30

摘要

在与细胞组织的相互作用过程中,DNA分子经由弹性大变形和形态转换途径实现其生物功能,因而DNA弹性的精确表征对深入了解DNA功能具有本质意义.然而,由于深刻非线性,在完整直接意义上,DNA弹性的内蕴力学特征仍有待揭示,基于该内蕴特征的显式直接表征一直尚未获得.提出可经由组合软/硬线弹簧的简单途径了解DNA弹性非线性, 由此表明DNA弹性非线性源于高柔度和高刚度的奇妙组合.该发现揭示出DNA弹性深刻非线性的内蕴几何特征,从而给出直至裂断的全变形范围显式直接张力-伸长公式.该公式首次给出表征DNA弹性的一组完整特性常数,并给出单、双链DNA分子的统一表征.该研究结果在独立于任何子结构细节的直接普遍意义上导出.

本文引用格式

肖衡 . DNA弹性非线性:刚柔共济的奇妙组合[J]. 上海大学学报(自然科学版), 2012 , 18(5) : 441 -447 . DOI: 10.3969/j.issn.1007-2861.2012.05.001

Abstract

DNA molecules perform biological functions via large elastic deformations and conformational changes in their interactions with the cellular machinery. Accordingly, adequate characterization of DNA elasticity is instrumental to an in-depth understanding of DNA functions. Because of their profound complexity, however, nonlinear features inherent in DNA elasticity remains to be uncovered in a direct and full sense, and a unified and explicit characterization over the entire stretch range is still unavailable. This paper suggests that DNA elastic nonlinearities may be understood by combining linear springs with high compliance and high rigidity. This finding uncovers the inherent geometrical feature in profound nonlinearities of DNA elasticity, and leads to a unified and explicit force-extension formula up to breaking. This formula reveals for the first time a complete set of characteristic constants for DNA elasticity and is shown to provide a unified characterization for both double- and single-stranded DNA molecules. Results are presented in a straightforward and broad sense independent of any substructural details.
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