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dc.contributor.authorNaghnaeian, Mohammad
dc.contributor.authorDel Vecchio, Domitilla
dc.date.accessioned2018-11-16T21:35:41Z
dc.date.available2018-11-16T21:35:41Z
dc.date.issued2017-08
dc.identifier.isbn978-1-5090-2182-6
dc.identifier.isbn978-1-5090-2181-9
dc.identifier.isbn978-1-5090-2183-3
dc.identifier.urihttp://hdl.handle.net/1721.1/119165
dc.description.abstractThe Chemical Master Equation (CME) is used to stochastically model biochemical reaction networks, under the Markovian assumption. The low-order statistical moments induced by the CME are often the key quantities that one is interested in. However, in most cases, the moments equation is not closed; in the sense that the first n moments depend on the higher order moments, for any positive integer n. In this paper, we develop a moment closure technique in which the higher order moments are approximated by an affine function of the lower order moments. We refer to such functions as the affine Moment Closure Functions (MCF) and prove that they are optimal in the worst-case context, in which no a priori information on the probability distribution is available. Furthermore, we cast the problem of finding the optimal affine MCF as a linear program, which is tractable. We utilize the affine MCFs to derive a finite dimensional linear system that approximates the low-order moments. We quantify the approximation error in terms of the induced norm of some linear system. Our results can be effectively used to approximate the low-order moments and characterize the noise properties of the biochemical network under study.en_US
dc.description.sponsorshipUnited States. Air Force. Office of Scientific Research (grant FA9550-14-1-0060)en_US
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/CCTA.2017.8062585en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleRobust moment closure method for the chemical master equationen_US
dc.typeArticleen_US
dc.identifier.citationNaghnaeian, Mohammad, and Domitilla Del Vecchio. “Robust Moment Closure Method for the Chemical Master Equation.” 2017 IEEE Conference on Control Technology and Applications (CCTA) (August 2017), Mauna Lani, HI, USA, Institute of Electrical and Electronics Engineers (IEEE), 2017.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.mitauthorNaghnaeian, Mohammad
dc.contributor.mitauthorDel Vecchio, Domitilla
dc.relation.journal2017 IEEE Conference on Control Technology and Applications (CCTA)en_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/ConferencePaperen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dc.date.updated2018-11-09T16:43:47Z
dspace.orderedauthorsNaghnaeian, Mohammad; Del Vecchio, Domitillaen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-6472-8576
mit.licenseOPEN_ACCESS_POLICYen_US


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