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• W2019900134 abstract "Different experimental conditions can give rise to changes in rate constants of biochemical reactions, thus resulting in different stochastic fluctuations in the numbers of chemical species molecules. A naturally arising question is how to choose a set of reaction rate constants such that experiment-depending stochastic fluctuations can be optimally controlled. In this paper, we determine the optimal rate constants by optimally controlling stochastic fluctuations in the numbers of chemical species molecules based on the theory of continuous-time Markov decision processes. Specifically, we first propose a stochastic model for a coupled set of biochemical reactions, then solve an optimality problem for rate constants with the mean-maximal numbers of chemical species molecules, and finally find, using a policy iteration algorithm of the continuous-time Markov decision processes, optimal rate constants with the variance-minimal molecule numbers over all possible sets of the rate constants with the maximal-mean molecule numbers obtained." @default.
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• W2019900134 date "2009-06-01" @default.
• W2019900134 modified "2023-09-26" @default.
• W2019900134 title "OPTIMAL CONTROL OF STOCHASTIC FLUCTUATIONS IN BIOCHEMICAL REACTIONS" @default.
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• W2019900134 doi "https://doi.org/10.1142/s0218339009002806" @default.
• W2019900134 hasPublicationYear "2009" @default.
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