PT - JOURNAL ARTICLE AU - Noah Olsman AU - Fulvio Forni TI - Antithetic integral feedback for the robust control of monostable and oscillatory biomolecular circuits AID - 10.1101/838748 DP - 2020 Jan 01 TA - bioRxiv PG - 838748 4099 - http://biorxiv.org/content/early/2020/05/20/838748.short 4100 - http://biorxiv.org/content/early/2020/05/20/838748.full AB - Biomolecular feedback systems are now a central application area of interest within control theory. While classical control techniques provide valuable insight into the function and design of both natural and synthetic biomolecular systems, there are certain aspects of biological control that have proven difficult to analyze with traditional methods. To this end, we describe here how the recently developed tools of dominance analysis can be used to gain insight into the nonlinear behavior of the antithetic integral feedback circuit, a recently discovered control architecture which implements integral control of arbitrary biomolecular processes using a simple feedback mechanism. We show that dominance theory can predict both monostability and periodic oscillations in the circuit, depending on the corresponding parameters and architecture. We then use the theory to characterize the robustness of the asymptotic behavior of this circuit in a nonlinear setting.Competing Interest StatementThe authors have declared no competing interest.