PID Control of Biochemical Reaction Networks

• 成果类型: Article
• 署名作者: Whitby, Max; Cardelli, Luca; Kwiatkowska, Marta; Laurenti, Luca; Tribastone, Mirco; Tschaikowski, Max
• 署名单位: University of Oxford; IMT School for Advanced Studies Lucca; Aalborg University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3062544
• 发表日期: 2022
• 页码: 1023-1030
• 关键词: Kinetic theory; encoding; Rails; dna; Plants (biology); Perturbation methods; PD control; Biological systems; chemical process control; Modeling; Nonlinear systems

摘要

Principles of feedback control have been shown to naturally arise in biological systems and have been applied with success to build synthetic circuits. Here, we present an implementation of a proportional-integral-derivative (PID) controller as a chemical reaction network with mass-action kinetics. This makes the controller synthesizable in vitro using DNA strand displacement technology, owing to its demonstrated capability of realizing arbitrary reaction-network designs as interacting DNA molecules. Previous related work has studied biological PID architectures using linearizations of nonlinear dynamics arising in both the controller components and in the plant. In this article, we present a proof of correctness of our nonlinear design in closed loop using arguments from singular perturbation theory. As an application to show the effectiveness of our controller, we provide numerical simulations on a genetic model to perform PID feedback control of protein expression.