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Discrete Differential Geometry of n-Simplices and Protein Structure Analysis

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DOI: 10.4236/am.2014.516237    2,689 Downloads   2,996 Views   Citations
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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.

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Morikawa, N. (2014) Discrete Differential Geometry of n-Simplices and Protein Structure Analysis. Applied Mathematics, 5, 2458-2463. doi: 10.4236/am.2014.516237.


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