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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013 Issue 1(30), Pages 315–325 (Mi vsgtu1154)

This article is cited 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

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.

UDC: 517.958:57

MSC: 82D80, 92D20

Original article submitted 09/XI/2012
revision submitted – 14/I/2013

DOI: 10.14498/vsgtu1154



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