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arXiv · 1802.04409

Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming

Garrett R. Dowdy·Paul I. Barton
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Abstract

Applying the method of moments to the chemical master equation (CME) appearing in stochastic chemical kinetics often leads to the so-called closure problem. Recently, several authors showed that this problem can be partially overcome using moment-based semidefinite programs (SDPs). In particular, they showed that moment-based SDPs can be used to calculate rigorous bounds on various descriptions of the stochastic chemical kinetic system's stationary distribution(s) -- for example, mean molecular counts, variances in these counts, and so on. In this paper, we show that these ideas can be extended to the corresponding dynamic problem, calculating time-varying bounds on the same descriptions.

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BibTeXRIS

Garrett R. Dowdy, Paul I. Barton. 2018-03-09. Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming. https://doi.org/10.1063/1.5029926

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