Bounding the effect of retroactivity in the presence of parameter uncertainty

Thomas P. Prescott, Andras Gyorgy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

As the number of synthetic genetic modules grows, the issue of reliably predicting their behavior upon interconnection becomes more pressing. The trajectory of an upstream module changes once connected to a downstream module due to retroactivity. Here, we employ dissipativity analysis to provide an upper bound on the L2 measure of this difference. To obtain this upper bound we formulate a Sum of Squares (SOS) optimization problem which we then solve using semi-definite programming. One particular strength of this approach is the ability to successfully handle parameter uncertainties while providing guaranteed upper bounds on the difference between the trajectories. We illustrate how to apply our method in the case of the most recurrent motif in gene networks.

Original languageEnglish (US)
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3120-3125
Number of pages6
ISBN (Electronic)9781479986842
DOIs
StatePublished - Jul 28 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Publication series

NameProceedings of the American Control Conference
Volume2015-July
ISSN (Print)0743-1619

Other

Other2015 American Control Conference, ACC 2015
CountryUnited States
CityChicago
Period7/1/157/3/15

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Prescott, T. P., & Gyorgy, A. (2015). Bounding the effect of retroactivity in the presence of parameter uncertainty. In ACC 2015 - 2015 American Control Conference (pp. 3120-3125). [7171812] (Proceedings of the American Control Conference; Vol. 2015-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2015.7171812