Discrete differential geometry of proteins: a new method for encoding three-dimensional structures of proteins
Abstract
In 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.
Keywords
Cite
@article{arxiv.math/0506082,
title = {Discrete differential geometry of proteins: a new method for encoding three-dimensional structures of proteins},
author = {Naoto Morikawa},
journal= {arXiv preprint arXiv:math/0506082},
year = {2007}
}
Comments
10 pages, 6 figures, 3 tables. Submitted