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This article is cited in 4 scientific papers (total in 4 papers)
Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory
Ultrametricity as a basis for organization of protein molecules: CO binding to myoglobin
V. A. Avetisova, A. Kh. Bikulova, A. P. Zubarevb a N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow, 119991, Russia
b Samara State Transport University, Samara, 443066, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In this paper, the basic notions of ultrametric ($p$-adic) description of protein conformational dynamics and CO rebinding to myoglobin are presented. It is shown that one and the same model of the reaction — ultrametric diffusion type describes essentially different features of the rebinding kinetics at high-temperatures ($300{\div}200$ K) and low-temperatures ($180{\div}60$ K). We suggest this result indicates a special structural order in a protein molecule. Besides all the other structural features, it is organized by such a way that its conformational mobility changes self-similar from room temperature up to the cryogenic temperatures.
Keywords:
CO rebinding to myoglobin, protein dynamics, enzyme kinetics, mathematical modeling, ultrametric random walk, $p$-adic numbers.
Original article submitted 09/XI/2012 revision submitted – 14/I/2013
Citation:
V. A. Avetisov, A. Kh. Bikulov, A. P. Zubarev, “Ultrametricity as a basis for organization of protein molecules: CO binding to myoglobin”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 315–325
Linking options:
https://www.mathnet.ru/eng/vsgtu1154 https://www.mathnet.ru/eng/vsgtu/v130/p315
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