Mathematical modeling of molecular "nano-machines"

Abstract


A new approach to mathematical modeling of "molecular machines", e.g. macromolecular structures which functional prototypes are the proteins, is presented. In the center of the approach lies the description of multi-scale fluctuation induced mobility of proteins by the ultrametric random processes. In order todemonstrate how p-adic equations of the reaction-diffusion type are described the molecular machine operation, a heuristic model is constructed in this article. It is shown that such multi-scale modeling allows to have an insight into unexpected resources that can be used in order to control the functional cycle.

About the authors

Vladik A Avetisov

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

Email: avetisov@chph
д.ф.-м.н., зав. лабораторией, лаб. теории сложных систем; Институт химической физики им. Н. Н. Семенова РАН; N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Albert Kh Bikulov

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

Email: bikulov1903@rambler.ru
к.ф.-м.н., старший научный сотрудник, лаб. теории сложных систем; Институт химической физики им. Н. Н. Семенова РАН; N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences

Alexander P Zubarev

Samara State University

Email: , apzubarev@mail.ru
к.ф.-м.н., ведущий научный сотрудник, лаб. математической физики; Самарский государственный университет; Samara State University

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