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Hybrid model predictive control of induction of escherichia coli

Julius, A. Agung and Sakar, M. Selman and Bemporad, Alberto and Pappas, George J. Hybrid model predictive control of induction of escherichia coli. In: Decision and Control. IEEE, 12th-14th December 2007, 3913-3918 . ISBN 978-1-4244-1497-0 (2007)

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The lactose regulation system of Escherichia coli is known to exhibit a bistable behavior. The stable states correspond to the phenotypical states of the system, induced and uninduced. Stochastic modeling of the system enables us to reproduce an experimentally observed phenomenon of spontaneous transitions between the induced and uninduced states. The average behavior of a colony of a large number of cells can be accurately described by an abstract model of the system, which is a two state Markov chain. In this paper, we consider a control problem that involves regulating the fraction of induction of a colony of Escherichia coli. We use the abstract model to design a feedback controller based on model predictive control strategy. Upon simulation, we show that the model predictive control is superior to other control strategies that we have designed before, in terms of less fluctuation in the control input and less tracking error.

Item Type: Book Section
Identification Number: 10.1109/CDC.2007.4434840
Projects: project "Advanced control methodologies for hybrid dynamical systems”
Funders: This work was partially supported by the NSF Presidential Early CAREER (PECASE) Grant 0132716, the HYCON Network of Excellence (contract number FP6-IST-511368), the Italian Ministry for University and Research (MIUR) and NSF Information Technology Resear
Uncontrolled Keywords: Escherichia coli induction; bistable behavior; colony behavior; feedback controller design; hybrid model predictive control; lactose regulation system; phenotypical state; spontaneous transition; stochastic modeling; two state Markov chain; Markov processes; biocontrol; control system synthesis; feedback; microorganisms; multivariable control systems; predictive control; stability
Subjects: Q Science > QA Mathematics
R Medicine > R Medicine (General)
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:39
Last Modified: 05 Aug 2011 13:17
URI: http://eprints.imtlucca.it/id/eprint/510

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