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Stability and Control of Biomolecular Circuits through Structure

Xiao, Fangzhou and Khammash, Mustafa and Doyle, John C. (2021) Stability and Control of Biomolecular Circuits through Structure. In: 2021 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 476-483. ISBN 978-1-6654-4197-1.

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Due to omnipresent uncertainties and environmental disturbances, natural and engineered biological organisms face the challenging control problem of achieving robust performance using unreliable parts. The key to overcoming this challenge rests in identifying structures of biomolecular circuits that are largely invariant despite uncertainties, and building control through such structures. In this work, we show that log derivatives can capture the structural regimes of biocircuits in regulating the production and degradation rates of molecules. We show that log derivatives can establish stability of fixed points based on structure, despite large variations in rates and functional forms of models. Furthermore, we demonstrate how control objectives, such as robust perfect adaptation (i.e. step disturbance rejection), could be implemented through structure. Due to the method's simplicity, structural properties for analysis and design of biomolecular circuits can often be determined by a glance at the equations.

Item Type:Book Section
Related URLs:
URLURL TypeDescription Paper
Xiao, Fangzhou0000-0002-5001-5644
Khammash, Mustafa0000-0002-4855-9220
Doyle, John C.0000-0002-1828-2486
Additional Information:© 2021 AACC. The authors would like to thank Daniele Cappelletti and John Marken for constructive discussions. F. X. and J. C. D. are partially funded by the Defense Advanced Research Projects Agency (Agreement HR0011-16-2-0049 and HR0011-17-2-0008).
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)HR0011-16-2-0049
Defense Advanced Research Projects Agency (DARPA)HR0011-17-2-0008
Record Number:CaltechAUTHORS:20201106-110344530
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Official Citation:F. Xiao, M. Khammash and J. C. Doyle, "Stability and Control of Biomolecular Circuits through Structure," 2021 American Control Conference (ACC), 2021, pp. 476-483, doi: 10.23919/ACC50511.2021.9483039
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106478
Deposited By: Tony Diaz
Deposited On:06 Nov 2020 19:35
Last Modified:25 Aug 2021 17:55

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