上衣和扭动DNA
Tops and Writhing DNA
摘要：
半柔性聚合物如DNA的扭转弹性具有生物学意义。一个数学处理这个问题是开始由富勒使用之间的关系联系，扭曲和扭动，但进展一直受到阻碍的非本地性质的扭动。这就妨碍了在计算配分函数时考虑热涨落的分析统计力学处理。在本文中，我们使用众所周知的类比与动态的顶部，以表明，当受到拉伸和扭曲，支配着配分函数的聚合物构型，在富勒的精神中承认了一个局部的扭曲公式，从而为使用富勒的“局部扭曲表达式”提供了一个潜在的理由这导致在解决DNA的理论模型和阐明它们的预测时相当大的数学简化。我们的结果有利于比较的理论模型与单分子微操纵实验和计算机模拟。
英文摘要：
The torsional elasticity of semiflexible polymers like DNA is of biological significance. A mathematical treatment of this problem was begun by Fuller using the relation between link, twist and writhe, but progress has been hindered by the non-local nature of the writhe. This stands in the way of an analytic statistical mechanical treatment, which takes into account thermal fluctuations, in computing the partition function. In this paper we use the well known analogy with the dynamics of tops to show that when subjected to stretch and twist, the polymer configurations which dominate the partition function admit a local writhe formulation in the spirit of Fuller and thus provide an underlying justification for the use of Fuller's "local writhe expression" which leads to considerable mathematical simplification in solving theoretical models of DNA and elucidating their predictions. Our result facilitates comparison of the theoretical models with single molecule micromanipulation experiments and computer simulations.
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