Analyzing the Data Bank of Proteins Space Structures (PDB): A Geometrical Approach


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Abstract

A geometrical approach to the analysis of a data bank containing information on space structures of proteins is suggested. As a result of the analysis, several relationships concerning possible conformations are found, and also there is obtained a list of polypeptides whose structures differ essentially from typical concepts of the 3D-structure of proteins. Those deviations could indicate possible errors and gaps of the interpreting models in use, as well as some new unknown relations and rules.

About the authors

E. A. Vilkul

Department of Probability Theory, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

Author for correspondence.
Email: elena.tuzhilina@mail.ru
Russian Federation, Moscow

A. O. Ivanov

Department of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Department of Mathematical Modeling, Bauman Moscow Technical State University

Email: elena.tuzhilina@mail.ru
Russian Federation, Moscow; Moscow

A. S. Mishchenko

Department of High Geometry and Topology, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

Email: elena.tuzhilina@mail.ru
Russian Federation, Moscow

Th. Yu. Popelenskii

Department of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

Email: elena.tuzhilina@mail.ru
Russian Federation, Moscow

A. A. Tuzhilin

Department of Differential Geometry and Applications, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

Email: elena.tuzhilina@mail.ru
Russian Federation, Moscow

K. V. Shaytan

Department of Bioengineering, Biological Faculty, Lomonosov Moscow State University

Email: elena.tuzhilina@mail.ru
Russian Federation, Moscow

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