Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49371#.VI5b1MnQrzE Author(s) Naoto Morikawa Affiliation(s) Genocript, Zama, Japan . 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 sequenc...
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