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Netrebko A. V., Netrebko N. V., Romanovsky Y. M., Hurgin J. I., Ebeling W. Stochastic cluster dynamics of enzyme - substrate complex. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 3, pp. 53-66.

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Russian
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Article
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539.194

Stochastic cluster dynamics of enzyme - substrate complex

Autors: 
Netrebko Aleksej Vasilevich, Lomonosov Moscow State University
Netrebko Nina Vladimirovna, Lomonosov Moscow State University
Romanovsky Yuri Mihajlovich, Lomonosov Moscow State University
Hurgin Jurij Isaakovich, Lomonosov Moscow State University
Ebeling Werner, Humboldt University of Berlin
Abstract: 

Since the known paper о L.Pontryagin, А. Andronov and А. Vitt (1933) а lot of problems were considered in nonlinear dynamics, associated with the study of the transition of a multistable system from one stable state to another under the influence of noise. In the recent years new problems emerged in the studies of complex vibrational systems. These problems deal with the transitions of test particles in the 2D potential relieves with the fluctuating or periodically changing parameters. As a complex relief is a variant of Sinai billiards, the motions of test pasticles therein become stochastic even without any external action. The examples of the cluster dynamics of macromolecules are considered. The dependencies are established of the time of transition of a test particles from the area of one minimum to the zone of attraction of another one on the frequency of the periodic changes of the parameters of the potential relief. The study of these processes will allow us to get closer to the comprehension of principles of molecular machines.

Key words: 
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Acknowledgments: 
The authors express their gratitude to A.Yu. Chikishev and L. Shimansky for their help and useful discussions. The program for determining Lyapunov exponents was kindly provided by employees of Saratov State University A. Neumann and M. Safonova. The work was carried out with the support of the Russian Foundation for Basic Research (RFBR), project 95-0205877 a.
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Received: 
08.11.1995
Accepted: 
28.12.1995
Published: 
15.12.1996
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