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Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming
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Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming
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1802.04409.pdf
Description
Accepted version
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835.51 KB
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sword-2019-08-13T15:56:40.original.xml (130 B)
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Author(s)
Dowdy, Garrett R
•
Barton, Paul I
Date Issued
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.
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Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/135808
DOI of Published Version
10.1063/1.5029926
