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arXiv 0903.1657q-bio.BM
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对DNA扭曲的两点认识

Two Perspectives on the Twist of DNA

Lauren A. Britton, Wilma K. Olson, Irwin Tobias

摘要:

由于DNA的双螺旋结构,其中两条互补核苷酸链相互交错,因此任何一条链都没有中断的共价闭合DNA分子可以被视为两个互锁的单链环。数学家早就知道,两条封闭的空间曲线具有一种称为连接数的性质,这是一个拓扑不变的整数,可以表示为两个其他量的总和,其中一条曲线绕另一条曲线的扭曲,以及扭曲数,或扭曲,这是两条封闭曲线之一的平面性的手征失真的度量。在这里,我们推导出表达式的扭曲的超螺旋DNA和扭动的一个封闭的分子与现代的DNA作为一个序列的碱基对步骤。结构生物学家通常用六个刚体参数来描述每一步的空间分布,其中一个参数也被称为扭曲。感兴趣的是这个步骤参数扭曲和扭曲的超螺旋与一个给定的碱基对步骤之间的数学性质的差异。例如,事实证明,后者的扭曲,不像前者,是敏感的某些平移剪切变形的分子,是手性的性质。因此,通过比较蛋白质-DNA复合物的高分辨率结构的每一步的两个扭曲的值,例如,这里考虑的核小体,我们可能能够确定各种蛋白质的结合如何有助于DNA的手性结构变化。

英文摘要:

Because of the double-helical structure of DNA, in which two strands of complementary nucleotides intertwine around each other, a covalently closed DNA molecule with no interruptions in either strand can be viewed as two interlocked single-stranded rings. Two closed space curves have long been known by mathematicians to exhibit a property called the linking number, a topologically invariant integer, expressible as the sum of two other quantities, the twist of one of the curves about the other, and the writhing number, or writhe, a measure of the chiral distortion from planarity of one of the two closed curves. We here derive expressions for the twist of supercoiled DNA and the writhe of a closed molecule consistent with the modern view of DNA as a sequence of base-pair steps. Structural biologists commonly characterize the spatial disposition of each step in terms of six rigid-body parameters, one of which, coincidentally, is also called the twist. Of interest is the difference in the mathematical properties between this step-parameter twist and the twist of supercoiling associated with a given base-pair step. For example, it turns out that the latter twist, unlike the former, is sensitive to certain translational shearing distortions of the molecule that are chiral in nature. Thus, by comparing the values for the two twists for each step of a high-resolution structure of a protein-DNA complex, the nucleosome considered here, for example, we may be able to determine how the binding of various proteins contributes to chiral structural changes of the DNA.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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