Ultrametricity as a basis for organization of protein molecules: CO binding to myoglobin


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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.

About the authors

Vladik Avanesovich Avetisov

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Email: avetisov@chph.ras.ru
Doctor of physico-mathematical sciences, Professor

Al'bert Khakimovich Bikulov

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Email: bikulov1903@rambler.ru, beecul@mail.ru
Candidate of physico-mathematical sciences

Alexander Petrovich Zubarev

Samara State Transport University

Email: apzubarev@mail.ru
Candidate of physico-mathematical sciences, Associate professor

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