Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming
Name
1802.04409.pdf
Description
Accepted version
Size
835.51 KB
Format
Unknown
Checksum (MD5)
2fc45cef3c9ae40b662b99203a2e0998
Author(s)
Dowdy, Garrett R.
Barton, Paul I.
Date Issued
August 2018
Journal
The Journal of Chemical Physics
Publisher
AIP Publishing
Version
Author's final manuscript
Abstract
© 2018 Author(s). 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.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1063/1.5029926
