AI Article Synopsis
- The method of moments applied to the chemical master equation often encounters a "closure problem" in stochastic chemical kinetics.
- Recent work has demonstrated that moment-based semidefinite programs (SDPs) can help address this issue by providing rigorous bounds on the stationary distributions of the system.
- This paper extends these concepts to dynamic problems, allowing for the calculation of time-varying bounds on aspects such as mean molecular counts and their variances.
Article Abstract
Applying the method of moments to the chemical master equation 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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| http://dx.doi.org/10.1063/1.5029926 | DOI Listing |
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