Finite state abstraction of a stochastic model of the lactose regulation system of Escherichia coli

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dc.contributor.authorJulius, Agung
dc.contributor.authorKumar, R. Vijay
dc.contributor.authorHalász, Ádám
dc.contributor.authorPappas, George J
dc.date2023-05-17T02:16:06.000
dc.date.accessioned2023-05-22T23:46:41Z
dc.date.available2023-05-22T23:46:41Z
dc.date.issued2006-12-15
dc.date.submitted2008-05-30T12:06:43-07:00
dc.description.abstractThis paper focuses on the lactose regulation system in Escherichia coli bacteria, one of the most extensively studied examples of positive feedback in a naturally occurring gene network. State-of-the-art nonlinear dynamical system models predict a bi-stability phenomenon that is confirmed in experiments. However, such deterministic models fail to explain experimental observations of spontaneous transition between the two stable states in the system and the simultaneous occurrence of both steady states in a population of cells. In this paper, we propose a stochastic model that explains this phenomenon. Furthermore, we also extract a coarser two-state continuous-time Markov chain as a higher level abstraction of this model, and show that macroscopic properties are retained in the abstraction.
dc.description.commentsCopyright 2006 IEEE. Reprinted from Proceedings of the 45th IEEE Conference on Decision & Control 2006. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/39860
dc.legacy.articleid1156
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1156&context=meam_papers&unstamped=1
dc.source.issue151
dc.source.journalDepartmental Papers (MEAM)
dc.source.peerreviewedtrue
dc.source.statuspublished
dc.subject.otherGRASP
dc.titleFinite state abstraction of a stochastic model of the lactose regulation system of Escherichia coli
dc.typePresentation
digcom.contributor.authorJulius, Agung
digcom.contributor.authorHalász, Ádám
digcom.contributor.authorisAuthorOfPublication|email:kumar@grasp.upenn.edu|institution:University of Pennsylvania|Kumar, R. Vijay
digcom.contributor.authorisAuthorOfPublication|email:pappasg@seas.upenn.edu|institution:University of Pennsylvania|Pappas, George J
digcom.identifiermeam_papers/151
digcom.identifier.contextkey517396
digcom.identifier.submissionpathmeam_papers/151
digcom.typeconference
dspace.entity.typePublication
relation.isAuthorOfPublication3baa51e5-8e46-41ad-8508-56c025d0f9f1
relation.isAuthorOfPublication00473ef0-d415-4df9-b027-00f0cf171730
relation.isAuthorOfPublication00473ef0-d415-4df9-b027-00f0cf171730
relation.isAuthorOfPublication.latestForDiscovery3baa51e5-8e46-41ad-8508-56c025d0f9f1
upenn.schoolDepartmentCenterDepartmental Papers (MEAM)
upenn.schoolDepartmentCenterGeneral Robotics, Automation, Sensing and Perception Laboratory
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