Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability

B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …

[HTML][HTML] Balancing a genetic toggle switch by real-time feedback control and periodic forcing

JB Lugagne, S Sosa Carrillo, M Kirch, A Köhler… - Nature …, 2017 - nature.com
Cybergenetics is a novel field of research aiming at remotely pilot cellular processes in real-
time with to leverage the biotechnological potential of synthetic biology. Yet, the control of …

Systems biology, synthetic biology and control theory: a promising golden braid

JER Cury, FL Baldissera - Annual reviews in control, 2013 - Elsevier
This article provides an overview of how three branches of science, namely Systems
Biology, Synthetic Biology and Control Theory might be interlaced to help solve relevant …

Optimal control of bacterial growth for the maximization of metabolite production

I Yegorov, F Mairet, H De Jong, JL Gouzé - Journal of mathematical …, 2019 - Springer
Microorganisms have evolved complex strategies for controlling the distribution of available
resources over cellular functions. Biotechnology aims at interfering with these strategies, so …

Balancing Cell Populations Endowed with a Synthetic Toggle Switch via Adaptive Pulsatile Feedback Control

A Guarino, D Fiore, D Salzano… - ACS synthetic …, 2020 - ACS Publications
The problem of controlling cells endowed with a genetic toggle switch has been recently
highlighted as a benchmark problem in synthetic biology. It has been shown that a carefully …

Analysis and control of genetic toggle switches subject to periodic multi-input stimulation

D Fiore, A Guarino… - IEEE control systems letters, 2018 - ieeexplore.ieee.org
In this letter, we analyze a genetic toggle switch recently studied in the literature where the
expression of two repressor proteins can be tuned by controlling two different inputs, namely …

In-silico feedback control of a MIMO synthetic toggle switch via pulse-width modulation

A Guarino, D Fiore… - 2019 18th European …, 2019 - ieeexplore.ieee.org
The genetic toggle switch is a MIMO control system that can be controlled by varying the
concentrations of two inducer molecules, aTc and IPTG, to achieve a desired level of …

Robust control of uncertain nonlinear switched genetic regulatory networks with time delays: A redesign approach

H Moradi, VJ Majd - Mathematical Biosciences, 2016 - Elsevier
In this paper, the problem of robust stability of nonlinear genetic regulatory networks (GRNs)
is investigated. The developed method is an integral sliding mode control based redesign …

Modeling and analysis of gene regulatory networks

G Bernot, JP Comet, A Richard, M Chaves… - … in computational biology …, 2012 - Springer
This chapter describes basic principles for modeling genetic regulatory networks, using
three different classes of formalisms: discrete, hybrid, and continuous differential systems. A …

Hybrid control of a bioreactor with quantized measurements

F Mairet, JL Gouzé - IEEE Transactions on automatic control, 2015 - ieeexplore.ieee.org
We consider the problem of global stabilization of an unstable bioreactor model (eg, for
anaerobic digestion), when the measurements are discrete and in finite number …