# Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming

Source: [Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming](<https://www.sota2.com/research/paper/68fa55191e209131ce99152b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:23:39.775Z

Authors: Garrett R. Dowdy, Paul I. Barton

Published: 2018-02-13T00:39:54.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1802.04409>)

[PDF](<https://arxiv.org/pdf/1802.04409.pdf>)