PID control of biochemical reaction networks

Max Whitby, Luca Cardelli, Marta Kwiatkowska, Luca Laurenti, Mirco Tribastone, Max Tschaikowski

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

2 Citationer (Scopus)

Abstrakt

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 paper 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.

OriginalsprogEngelsk
TidsskriftI E E E Transactions on Automatic Control
ISSN0018-9286
DOI
StatusUdgivet - 2021

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