Application of optimal control theory to bioremediation

Sanjay Chawla, Suzanne M. Lenhart

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In situ bioremediation is a remediation technology in which the indigenous subsurface bacteria are stimulated by injecting compounds to provide food and energy. The stimulated bacteria break down the target contaminants into less harmful substances. The way the compounds are injected is a crucial component of the technology. We use techniques from the theory of optimal control of distributed parameter systems to characterize an 'optimal' injection function in a tube bioreactor. The state system, the set of equations that govern the evolution of bioremediation, is a 'hybrid' system consisting of both partial and ordinary differential equations.

Original languageEnglish
Pages (from-to)81-102
Number of pages22
JournalJournal of Computational and Applied Mathematics
Volume114
Issue number1
DOIs
Publication statusPublished - 15 Jan 2000
Externally publishedYes

Fingerprint

Optimal Control Theory
Bioremediation
Control theory
Bacteria
Bioreactor
Distributed Parameter Systems
Bioreactors
Remediation
Hybrid systems
Hybrid Systems
Ordinary differential equations
Partial differential equations
Breakdown
Injection
Tube
Optimal Control
Ordinary differential equation
Partial differential equation
Impurities
Target

Keywords

  • Bioremediation
  • Hybrid systems
  • Optimal control

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Application of optimal control theory to bioremediation. / Chawla, Sanjay; Lenhart, Suzanne M.

In: Journal of Computational and Applied Mathematics, Vol. 114, No. 1, 15.01.2000, p. 81-102.

Research output: Contribution to journalArticle

@article{79f88508b7e54ad586ca89561b9e0645,
title = "Application of optimal control theory to bioremediation",
abstract = "In situ bioremediation is a remediation technology in which the indigenous subsurface bacteria are stimulated by injecting compounds to provide food and energy. The stimulated bacteria break down the target contaminants into less harmful substances. The way the compounds are injected is a crucial component of the technology. We use techniques from the theory of optimal control of distributed parameter systems to characterize an 'optimal' injection function in a tube bioreactor. The state system, the set of equations that govern the evolution of bioremediation, is a 'hybrid' system consisting of both partial and ordinary differential equations.",
keywords = "Bioremediation, Hybrid systems, Optimal control",
author = "Sanjay Chawla and Lenhart, {Suzanne M.}",
year = "2000",
month = "1",
day = "15",
doi = "10.1016/S0377-0427(99)00290-3",
language = "English",
volume = "114",
pages = "81--102",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Application of optimal control theory to bioremediation

AU - Chawla, Sanjay

AU - Lenhart, Suzanne M.

PY - 2000/1/15

Y1 - 2000/1/15

N2 - In situ bioremediation is a remediation technology in which the indigenous subsurface bacteria are stimulated by injecting compounds to provide food and energy. The stimulated bacteria break down the target contaminants into less harmful substances. The way the compounds are injected is a crucial component of the technology. We use techniques from the theory of optimal control of distributed parameter systems to characterize an 'optimal' injection function in a tube bioreactor. The state system, the set of equations that govern the evolution of bioremediation, is a 'hybrid' system consisting of both partial and ordinary differential equations.

AB - In situ bioremediation is a remediation technology in which the indigenous subsurface bacteria are stimulated by injecting compounds to provide food and energy. The stimulated bacteria break down the target contaminants into less harmful substances. The way the compounds are injected is a crucial component of the technology. We use techniques from the theory of optimal control of distributed parameter systems to characterize an 'optimal' injection function in a tube bioreactor. The state system, the set of equations that govern the evolution of bioremediation, is a 'hybrid' system consisting of both partial and ordinary differential equations.

KW - Bioremediation

KW - Hybrid systems

KW - Optimal control

UR - http://www.scopus.com/inward/record.url?scp=0034052213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034052213&partnerID=8YFLogxK

U2 - 10.1016/S0377-0427(99)00290-3

DO - 10.1016/S0377-0427(99)00290-3

M3 - Article

VL - 114

SP - 81

EP - 102

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1

ER -