PID Control of Biochemical Reaction Networks
Abstract
Principles of feedback control have been shown to naturally arise in biological systems and successfully applied to build synthetic circuits. In this work we consider Biochemical Reaction Networks (CRNs) as a paradigm for modelling biochemical systems and provide the first implementation of a derivative component in CRNs. That is, given an input signal represented by the concentration level of some species, we build a CRN that produces as output the concentration of two species whose difference is the derivative of the input signal. By relying on this component, we present a CRN implementation of a feedback control loop with Proportional-Integral-Derivative (PID) controller and apply the resulting control architecture to regulate the protein expression in a microRNA regulated gene expression model.
Keywords
Cite
@article{arxiv.1903.10390,
title = {PID Control of Biochemical Reaction Networks},
author = {Max Whitby and Luca Cardelli and Marta Kwiatkowska and Luca Laurenti and Mirco Tribastone and Max Tschaikowski},
journal= {arXiv preprint arXiv:1903.10390},
year = {2019}
}
Comments
8 Pages, 4 figures, Submitted to CDC 2019