Chaos and its Degradation-Promoting-Based Control in an Antithetic Integral Feedback Circuit
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
Published inIEEE Control Systems Letters
DisciplineTietotekniikkaComputing, Information Technology and MathematicsLaskennallinen tiedeMathematical Information TechnologyComputing, Information Technology and MathematicsComputational Science
© IEEE 2021
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. ...
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Publication in research information system
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Additional information about fundingThis work was supported by a joint Russian-Iranian program, entitled ”Oscillatory Behavior Analysis in Dynamical Systems and its Applications in Control Systems,” between St. Petersburg University and Sharif University of Technology (Corresponding author: M. S. Tavazoei)
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