Discrete Differential Geometry of <i>n</i>-Simplices and Protein Structure Analysis

• 作者: Naoto Morikawa
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Differential GEOMETRY n-Simplex Discrete MATHEMATICS Protein Structure TETRAHEDRON
• 年，卷（期）: 2014,（16）
• 页码范围: 2458-2463
• 页数: 6页
• 分类号: O1

摘要

This paper proposes a novel discrete differential geometry of n-simplices. It was originally developed for protein structure analysis. Unlike previous works, we consider connection between space-filling n-simplices. Using cones of an integer lattice, we introduce tangent bundle-like structure on a collection of n-simplices naturally. We have applied the mathematical framework to analysis of protein structures. In this paper, we propose a simple encoding method which translates the conformation of a protein backbone into a 16-valued sequence.