Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming
© 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 pa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/135808 |
| _version_ | 1826192539914338304 |
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| author | Dowdy, Garrett R Barton, Paul I |
| author_facet | Dowdy, Garrett R Barton, Paul I |
| author_sort | Dowdy, Garrett R |
| collection | MIT |
| description | © 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. |
| first_indexed | 2024-09-23T09:18:31Z |
| format | Article |
| id | mit-1721.1/135808 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:18:31Z |
| publishDate | 2021 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1358082022-03-30T14:26:25Z Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming Dowdy, Garrett R Barton, Paul I © 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. 2021-10-27T20:29:24Z 2021-10-27T20:29:24Z 2018 2019-08-13T15:56:40Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135808 en 10.1063/1.5029926 The Journal of Chemical Physics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf AIP Publishing arXiv |
| spellingShingle | Dowdy, Garrett R Barton, Paul I Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| title | Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| title_full | Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| title_fullStr | Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| title_full_unstemmed | Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| title_short | Dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| title_sort | dynamic bounds on stochastic chemical kinetic systems using semidefinite programming |
| url | https://hdl.handle.net/1721.1/135808 |
| work_keys_str_mv | AT dowdygarrettr dynamicboundsonstochasticchemicalkineticsystemsusingsemidefiniteprogramming AT bartonpauli dynamicboundsonstochasticchemicalkineticsystemsusingsemidefiniteprogramming |