Global curvature, thickness, and the ideal shapes of knots

Global curvature, thickness, and the ideal shapes of knots
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DOI:
10.1073/pnas.96.9.4769
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发表时间:
1999-04-27
影响因子:
11.1
通讯作者:
Maddocks, JH
Maddocks, JH
中科院分区:
综合性期刊1区
文献类型:
--
作者:
Gonzalez, O;Maddocks, JH

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引入了空间曲线的整体曲率半径。这个函数与标准的局部曲率半径有关,但又有所不同,并且与曲线的各种物理上吸引人的性质有关。特别是,全局曲率半径函数提供了一个简洁的表征曲线的厚度,和某些理想的形状的结已经在DNA的背景下进行了研究。
The global radius of curvature of a space curve is introduced. This function is related to, but distinct from, the standard local radius of curvature and is connected to various physically appealing properties of a curve. In particular, the global radius of curvature function provides a concise characterization of the thickness of a curve, and of certain ideal shapes of knots as have been investigated within the context of DNA.