A Mathematical Approach that Includes the Fourier Transform (Plane Wave Decomposition Using Spherical Coordinates) and Simultaneously Assesses Complex Movements, Such as Rotations and Displacements, in Complicated Molecular Constructions

A multimodal mathematical approach is proposed that makes it possible to consider the Fourier objects that arise when macromolecules are described in spherical coordinates. With spherical coordinates, it is relatively simple to identify certain symmetries that may occur in macromolecules. The approa...

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Published inBiophysics (Oxford) Vol. 64; no. 2; pp. 167 - 169
Main Authors Batyanovskii, A. V., Namiot, V. A., Filatov, I. V., Esipova, N. G., Volotovskii, I. D.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2019
Springer Nature B.V
Subjects
Biological and Medical Physics
Biophysics
Fourier transforms
Macromolecules
Molecular Biophysics
Physics
Physics and Astronomy
Fourier transform
molecular recognition
plane waves
macromolecule
spherical functions
long-range interactions
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Summary:A multimodal mathematical approach is proposed that makes it possible to consider the Fourier objects that arise when macromolecules are described in spherical coordinates. With spherical coordinates, it is relatively simple to identify certain symmetries that may occur in macromolecules. The approach also includes plane wave decomposition (intended to describe macromolecules) in a series of spherical functions and thus provides the ability to simultaneously consider both rotations and displacements of an entire macromolecule in space.
ISSN:0006-3509
1555-6654
DOI:10.1134/S0006350919020027