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.

中文翻译：

---

对数积分反馈，用于稳健地控制单稳态和振荡生物分子电路

现在，生物分子反馈系统是控制理论中关注的中心应用领域。尽管经典的控制技术为天然和合成生物分子系统的功能和设计提供了宝贵的见识，但生物控制的某些方面已证明很难用传统方法进行分析。为此，我们在这里描述如何使用最新开发的优势分析工具来了解对立积分反馈电路的非线性行为，这是一种最近发现的控制体系结构，可使用简单的反馈机制对任意生物分子过程进行积分控制。我们表明，支配性理论可以根据相应的参数和体系结构预测电路中的单稳态和周期性振荡。