Fourier transformation in spherical systems as a tool of structural biology
https://doi.org/10.29235/1561-2430-2020-56-4-496-503
Abstract
Applications of the most common adaptation of Fourier analysis in spherical coordinate systems used to solve a number of problems in structural biology, namely, flat wave decomposition (flat waves are represented as spherical functions decomposition), are herein considered. Arguments in favor of this decomposition are compared with other decompositions in superposition of special functions. A more general justification for the correctness of this decomposition is obtained than that existing today. A method for representing groups of atoms in the form of a Fourier object is proposed. It is also considered what opportunities give such a representation. The prospects for the application of Fourier analysis in structural biophysics are discussed.
About the Authors
A. V. Batyanovskii
Institute of Cell Biophysics and Cell Technology of the National Academy of Sciences of Belarus
Belarus
Belarus
Alexander V. Batyanovskii – Ph. D. (Physics and Mathematics), Researcher
27, Akademicheskaya Str., 220072, Minsk
V. A. Namiot
Lomonosov Moscow State University
Russian Federation
Russian Federation
Vladimir A. Namiot – Dr. Sc. (Physics and Mathematics), Senior Researcher
1/2, Leninskie Gory, 119991, Moscow
I. V. Filatov
Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
Ivan V. Filatov – Ph. D. (Physics and Mathematics), Teacher
9, Institutskii Lane, Dolgoprudny, 141701, Moscow
V. G. Tumanyan
Engelhard Institute of Molecular Biology of the Russian Academy of Sciences
Russian Federation
Russian Federation
Vladimir G. Tumanyan – Dr. Sc. (Physics and Mathematics), Professor, Head of the Laboratory of Computational Methods for System Biology
32, Vavilov Str., 119991, Moscow
N. G. Esipova
Engelhard Institute of Molecular Biology of the Russian Academy of Sciences
Russian Federation
Russian Federation
Natalia G. Esipova – Ph. D. (Physics and Mathematics), Senior Researcher
32, Vavilov Str., 119991, Moscow
I. D. Volotovsky
Institute of Cell Biophysics and Cell Technology of the National Academy of Sciences of Belarus
Belarus
Belarus
Igor D. Volotovsky – Academician of the National Academy of Sciences of Belarus, Dr. Sc. (Biology), Professor, Head of the Laboratory of Molecular Cell Biology
27, Akademicheskaya Str., 220072, Minsk
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