Discrete differential geometry of proteins: a new method for encoding three-dimensional structures of proteins

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dc.creatorMorikawa, Naoto
dc.date2005-06-05
dc.date.accessioned2026-07-07T05:20:31Z
dc.date.available2026-07-07T05:20:31Z
dc.descriptionIn nature the three-dimensional structure of a protein is encoded in the corresponding gene. In this paper we describe a new method for encoding the three-dimensional structure of a protein into a binary sequence. The feature of the method is the correspondence between protein-folding and ``integration''. A protein is approximated by a folded tetrahedron sequence. And the binary code of a protein is obtained as the ``second derivative'' of the shape of the folded tetrahedron sequence. With this method at hand, we can extract static structural information of a protein from its gene. And we can describe the distribution of three-dimensional structures of proteins without any subjective hierarchical classification.
dc.description10 pages, 6 figures, 3 tables. Submitted
dc.identifierhttps://arxiv.org/abs/math/0506082
dc.identifierhttp://arxiv.org/abs/math/0506082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75407
dc.subjectCombinatorics
dc.subjectDiscrete Mathematics
dc.subjectMetric Geometry
dc.subjectGenomics
dc.subject52B99, 92D20 (primary)
dc.titleDiscrete differential geometry of proteins: a new method for encoding three-dimensional structures of proteins
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