Stability and Control of Biomolecular Circuits through Structure
Abstract
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.
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).Attached Files
Submitted - 2020.11.04.368381v1.full.pdf
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Additional details
- Eprint ID
- 106478
- Resolver ID
- CaltechAUTHORS:20201106-110344530
- Defense Advanced Research Projects Agency (DARPA)
- HR0011-16-2-0049
- Defense Advanced Research Projects Agency (DARPA)
- HR0011-17-2-0008
- Created
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2020-11-06Created from EPrint's datestamp field
- Updated
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2021-08-25Created from EPrint's last_modified field