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Chaos and its degradation-promoting-based control in an antithetic integral feedback circuit

Zand, A. M ; Sharif University of Technology | 2022

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  1. Type of Document: Article
  2. DOI: 10.1109/LCSYS.2021.3129320
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2022
  4. Abstract:
  5. 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 time-scales in the proposed kind of AIFC, here we find a reduced-order controller that captures the governing slow part of the original solutions under suitable assumptions. Inspired by Rössler 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. © 2017 IEEE
  6. Keywords:
  7. Adaptation ; Bifurcation analysis ; Oscillatory reaction networks ; Singular perturbation theory ; Synthetic biology ; Bifurcation (mathematics) ; Biological systems ; Chaos theory ; Circuit simulation ; Controllers ; Feedback ; Integrated circuits ; Oscillators (electronic) ; Perturbation techniques ; Process control ; Synthetic biology ; Adaptation ; Bifurcation analyse ; Bifurcation analysis ; Biological system modeling ; Integrated circuit modeling ; Oscillatory reaction ; Oscillatory reaction network ; Reaction network ; Singular perturbation theory ; Synthetic biology ; Timing circuits
  8. Source: IEEE Control Systems Letters ; Volume 6 , 2022 , Pages 1622-1627 ; 24751456 (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/9621220