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Parabolic section and distance excess of space curves applied to protein structure classification

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Abstract

Proteins are long chain molecules that fold up into beautiful and complicated three-dimensional structures before fulfilling their biological functions in the living organisms. With the aim of providing an efficient tool for describing the proteins’ native folds, we present a global geometric measure of a space curve. This geometric measure allows us to define descriptors of protein structures that quantify how parallel the secondary structure elements of a protein are. These descriptors are C 2 in deformations of the protein structure, are evaluated very fast and reliably, and are demonstrated to capture essential parts of the protein native fold universe.

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Denmark, Building 303S, 2800, Kongens Lyngby, Denmark

    Peter Røgen & Per W. Karlsson

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  1. Peter Røgen
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  2. Per W. Karlsson
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Correspondence to Peter Røgen.

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Røgen, P., Karlsson, P.W. Parabolic section and distance excess of space curves applied to protein structure classification. Geom Dedicata 134, 91–107 (2008). https://doi.org/10.1007/s10711-008-9247-z

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  • DOI: https://doi.org/10.1007/s10711-008-9247-z

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