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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >DNA elastic nonlinearities as multiple smooth combinations of soft and hard linear springs
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DNA elastic nonlinearities as multiple smooth combinations of soft and hard linear springs

机译：DNA弹性非线性作为软硬线性弹簧的多个平滑组合

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摘要

DNA molecules perform biological functions via large elastic deformations and conformational changes in courses of their interactions with the cellular machinery. Adequate characterization of DNA elasticity is accordingly essential to an in-depth understanding of DNA functions. Because of profound complexity, however, nonlinear features inherent in DNA elasticity remains to be uncovered in a direct, full sense and a unified, explicit characterization over the entire stretch range has been unavailable. Here it is suggested 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, 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, broad sense independent of any substructural details. DNA molecules perform biological functions via large elastic deformations and conformational changes in courses of their interactions with the cellular machinery. Adequate characterization of DNA elasticity is accordingly essential to an in-depth understanding of DNA functions. The presented 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- single-stranded DNA molecules. Results are presented in a straightforward, broad sense independent of any substructural details.
机译：DNA分子通过与细胞机械相互作用的过程中的大的弹性变形和构象变化来执行生物学功能。因此，DNA弹性的充分表征对于深入了解DNA功能至关重要。然而，由于复杂性极高，DNA弹性固有的非线性特征仍有待直接，全面地揭示，并且无法在整个拉伸范围内进行统一，明确的表征。在这里建议通过结合具有高柔顺性和高刚度的线性弹簧可以理解DNA弹性非线性。这一发现揭示了DNA弹性的深层非线性中固有的几何特征，并导致了一个统一的，明确的力-延伸公式直至断裂。该公式首次揭示了DNA弹性的完整特征常数集，并显示出可为双链和单链DNA分子提供统一的表征。结果以简单明了的方式呈现，与任何子结构细节无关。 DNA分子通过与细胞机械相互作用的过程中的大的弹性变形和构象变化来执行生物学功能。因此，DNA弹性的充分表征对于深入了解DNA功能至关重要。提出的公式首次揭示了DNA弹性的完整特征常数集，并显示出可为双单链DNA分子提供统一的表征。结果以简单明了的方式呈现，与任何子结构细节无关。

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