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Morikawa, N. (2007) Discrete Differential Geometry of Tetrahedrons and Encoding of Local Protein Structure. arXiv: math.CO/0710.4596.

has been cited by the following article:

• TITLE: Discrete Differential Geometry of n-Simplices and Protein Structure Analysis

  AUTHORS: Naoto Morikawa

  KEYWORDS: Differential Geometry, n-Simplex, Discrete Mathematics, Protein Structure, Tetrahedron

  JOURNAL NAME: Applied Mathematics, Vol.5 No.16, August 29, 2014

  ABSTRACT: 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.