A1 Journal article (refereed)
Chaos and its Degradation-Promoting-Based Control in an Antithetic Integral Feedback Circuit (2022)

Zand, A. M., Tavazoei, M. S., & Kuznetsov, N. V. (2022). Chaos and its Degradation-Promoting-Based Control in an Antithetic Integral Feedback Circuit. IEEE Control Systems Letters, 6, 1622-1627. https://doi.org/10.1109/LCSYS.2021.3129320

JYU authors or editors

Publication details

All authors or editors: Zand, Armin M.; Tavazoei, Mohammad Saleh; Kuznetsov, Nikolay V.

Journal or series: IEEE Control Systems Letters

eISSN: 2475-1456

Publication year: 2022

Volume: 6

Pages range: 1622-1627

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1109/LCSYS.2021.3129320

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/78876

Abstract

This letter deals with a novel variant of antithetic integral feedback controller (AIFC) motifs which can feature robust perfect adaptation, a pervasive (desired) ability in natural (synthetic) biomolecular circuits, when coupled with a wide class of process networks to be regulated. Using the separation of timescales in the proposed kind of AIFC, here we find a reducedorder controller that captures the governing slow part of the original solutions under suitable assumptions. Inspired by R(ossler systems, we then make use of such a simpler controller to show that the antithetic circuit can exhibit chaotic behaviors with strange attractors, where the bifurcation from a homeostatic state to chaotic orbits can happen, e.g., when considering saturated Hill-type reactions for the actuation. Addition of degradation terms to the controller species, whether naturally due to dilution or exogenously using protein tags, is showcased by simulation results to be an effective solution in suppressing deterministic chaos and aperiodic oscillations. In the same vein, we recapitulate the recently introduced antithetic rein IFC motif and confirm that the promotion of degradation by a rein mechanism also can control chaos and improve the stability of closed-loop circuit.

Keywords: electronic circuits; oscillators; models (objects); mathematical models; control theory; chaos theory

Free keywords: chaos; process control; degradation; mathematical models; oscillators; integrated circuit modeling; biological system modeling

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 1