Ultrametric random walk and dynamics of protein molecules

This paper is a brief survey of applications of the p -adic equation of ultrametric random walk to the description of conformational dynamics of protein molecules. Two main experiments are considered that determine the properties of the fluctuation dynamic mobility of protein molecules from 300 to 4...

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Bibliographic Details
Published inProceedings of the Steklov Institute of Mathematics Vol. 285; no. 1; pp. 3 - 25
Main Authors Avetisov, V. A., Bikulov, A. Kh, Zubarev, A. P.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2014
Subjects
Mathematics
Mathematics and Statistics
STEKLOV Institute
Protein Molecule
Conformational State
Energy Landscape
Heme Iron
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Summary:This paper is a brief survey of applications of the p -adic equation of ultrametric random walk to the description of conformational dynamics of protein molecules. Two main experiments are considered that determine the properties of the fluctuation dynamic mobility of protein molecules from 300 to 4 K: the studies of the kinetics of CO binding to myoglobin and spectral diffusion in proteins. It is shown that an ultrametric description allows one to build a unified picture of the conformational mobility of a protein molecule in the whole range of the indicated temperatures and realize the fact that it varies in a self-similar way. This feature of protein molecules, which has remained hidden to date, significantly expands the idea of the structure of nanoscale systems related to the family of molecular machines.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543814040026