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

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1999年 / 96卷 / 09期

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

页码：4769 / 4773

页数：5

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