Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming
Probability
2018-08-24 v2 Optimization and Control
Molecular Networks
Quantitative Methods
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.
Cite
@article{arxiv.1802.04409,
title = {Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming},
author = {Garrett R. Dowdy and Paul I. Barton},
journal= {arXiv preprint arXiv:1802.04409},
year = {2018}
}