Fourier transformation in spherical systems as a tool of structural biology-Reference-Cited by-同舟云学术

Fourier transformation in spherical systems as a tool of structural biology

Published:2020-12-31 Issue:4 Volume:56 Page:496-503
ISSN:2524-2415
Container-title:Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series
language:
Short-container-title:Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk

Author:

Batyanovskii A. V.¹,Namiot V. A.²,Filatov I. V.³,Tumanyan V. G.⁴,Esipova N. G.⁴,Volotovsky I. D.¹

Affiliation:

1. Institute of Cell Biophysics and Cell Technology of the National Academy of Sciences of Belarus

2. Lomonosov Moscow State University

3. Moscow Institute of Physics and Technology

4. Engelhard Institute of Molecular Biology of the Russian Academy of Sciences

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.

Publisher

Publishing House Belorusskaya Nauka

Subject

Computational Theory and Mathematics,General Physics and Astronomy,General Mathematics

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