Controlling Biological Systems: The Lactose Regulation System of Escherichia Coli

Loading...
Thumbnail Image
Penn collection
Departmental Papers (MEAM)
General Robotics, Automation, Sensing and Perception Laboratory
Degree type
Discipline
Subject
GRASP
Engineering
Mechanical Engineering
Funder
Grant number
License
Copyright date
Distributor
Related resources
Author
Julius, Anak Agung
Halasz, Ádam
Contributor
Abstract

In this paper we present a comprehensive framework for abstraction and controller design for a biological system. The first half of the paper concerns modeling and model abstraction of the system. Most models in systems biology are deterministic models with ordinary differential equations in the concentration variables. We present a stochastic hybrid model of the lactose regulation system of E. coli bacteria that capture important phenomena which cannot be described by continuous deterministic models. We then show that the resulting stochastic hybrid model can be abstracted into a much simpler model, a two-state continuous time Markov chain. The second half of the paper discusses controller design for a specific architecture. The architecture consists of measurement of a global quantity in a colony of bacteria as an output feedback, and manipulation of global environmental variables as control actuation. We show that controller design can be performed on the abstracted (Markov chain) model and implementation on the real model yields the desired result.

Advisor
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Publication date
2007-07-11
Journal title
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Suggested Citation: Julius, Anak Agung, Adam Halasz, Vijay Kumar and George Pappas. (2007). Controlling biological systems: the lactose regulation system of Escherichia coli. 2007 American Control Conference. New York, New York. July 11-13, 2007. ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Recommended citation
Collection