Global curvature, thickness, and the ideal shapes of knots

被引:197
作者
Gonzalez, O [1 ]
Maddocks, JH [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland
关键词
D O I
10.1073/pnas.96.9.4769
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 [理学]; 0710 [生物学]; 09 [农学];
摘要
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.
引用
收藏
页码:4769 / 4773
页数:5
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