Generalization of distance to higher dimensional objects

Proc Natl Acad Sci U S A. 2007 Sep 18;104(38):14899-904. doi: 10.1073/pnas.0607833104. Epub 2007 Sep 11.

Abstract

The measurement of distance between two objects is generalized to the case where the objects are no longer points but are one-dimensional. Additional concepts such as nonextensibility, curvature constraints, and noncrossing become central to the notion of distance. Analytical and numerical results are given for some specific examples, and applications to biopolymers are discussed.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Biopolymers / chemistry*
  • Computer Simulation
  • Models, Theoretical*

Substances

  • Biopolymers