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On one probabilistic model of bimolecular chemical reaction. (English) Zbl 1401.92228

Summary: In the paper the construction of a probabilistic model of a biochemical reaction with two reagents is reduced to the construction of a probabilistic model of a unimolecular reaction. Explicit forms are obtained for the mathematical expectation and variance of the reagent and product. The numerical example is also considered.

MSC:

92E20 Classical flows, reactions, etc. in chemistry
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References:

[1] Dawes E. (1967) Quantitative problems in biochemistry. Longman, London and New York.
[2] Karlin S. (1971) Fundamentals of the theory of random processes. M. (in Russian).
[3] Dochviri B., Nadaraya E., Sokhadze G., Tkemaladze G. (2011) On the estimation of the coefficients in one stochastic model of an enzymic reaction. Bull. Georgian Natl. Acad. Sci., 5, 1: 104-107. · Zbl 1221.92047
[4] Dochviri B., Purtukhia O., Sokhadze G., Tkemaladze G. (2013) On one stochastic model of a chemical reaction. Bull. Georgian Natl. Acad. Sci., 7, 2: 92-96. · Zbl 1329.92148
[5] Sokhadze G., Dochviri B., Tkemaladze G. (2015) A new approach to the estimation of the parameters of the Michaelis-Menten equation. Open J. Biochemistry, 2, 1: 1-7.
[6] Dochviri B. M., Sokhadze G. A., Tkemaladze G. Sh., Makhashvili K. A. (2015) On a Kinetics of the bimolecular chemical reaction. Georgian Engineering News, 76, 4: 100-103 (in Russian).
[7] Barucha-Rid A. (1960) Elements of the theory of Markovian processes and their applications.
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