Title: Antithetic integral feedback for the robust control of monostable and oscillatory biomolecular circuits Show Chinese title

Title: 单稳态和振荡生物分子电路的抗对称积分反馈鲁棒控制

Abstract: Biomolecular feedback systems are now a central application area of interest within control theory. While classical control techniques provide invaluable 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 the circuit in a nonlinear setting. Show Chinese abstract

Abstract: 生物分子反馈系统现在是控制理论中的一个核心应用领域。 虽然经典控制技术为自然和合成生物分子系统的功能和设计提供了宝贵的见解，但某些生物学控制方面已被证明难以用传统方法进行分析。 为此，我们在这里描述了如何使用最近开发的主导性分析工具来深入了解反向积分反馈电路的非线性行为，这是一种最近发现的控制架构，它使用简单的反馈机制实现任意生物分子过程的积分控制。 我们表明，主导性理论可以根据相应的参数和架构预测电路中的单稳态和周期性振荡。 然后，我们利用该理论在非线性环境下表征电路渐近行为的鲁棒性。