Geodesic
Mathematical Modeling of Molecular ``nano-machines''
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 9-15

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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.
Keywords: mathematical modeling, proteins, molecular nano-machines, ultrametricity
Mots-clés : reaction-diffusion processes, $p$–adic equations. 
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     title = {Mathematical {Modeling} of {Molecular} ``nano-machines''},
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V. A. Avetisov; A. Kh. Bikulov; A. P. Zubarev. Mathematical Modeling of Molecular ``nano-machines''. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 9-15. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a1/