Convex Optimization of Bioprocesses

Josh A. Taylor; Alain Rapaport; Denis Dochain

doi:10.1109/TAC.2022.3167310

Convex Optimization of Bioprocesses

Josh A. Taylor, Alain Rapaport, Denis Dochain

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady-state cases. When the growth kinetics are modeled by the Contois or, under constant biomass, Monod or Powell functions, the relaxation is a second-order cone program, which can be solved efficiently at large scales. We implement the model on a numerical example based on a wastewater treatment system.

Original language	English (US)
Pages (from-to)	4932-4938
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	67
Issue number	9
DOIs	https://doi.org/10.1109/TAC.2022.3167310
State	Published - Sep 1 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Keywords

Bioprocess
compartmental system
convex relaxation
second-order cone programming (SOCP)
wastewater treatment

Access to Document

10.1109/TAC.2022.3167310

Cite this

@article{188e346a2e7c4dccbbbee635e5869782,

title = "Convex Optimization of Bioprocesses",

abstract = "We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady-state cases. When the growth kinetics are modeled by the Contois or, under constant biomass, Monod or Powell functions, the relaxation is a second-order cone program, which can be solved efficiently at large scales. We implement the model on a numerical example based on a wastewater treatment system.",

keywords = "Bioprocess, compartmental system, convex relaxation, second-order cone programming (SOCP), wastewater treatment",

author = "Taylor, {Josh A.} and Alain Rapaport and Denis Dochain",

note = "Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2022",

month = sep,

day = "1",

doi = "10.1109/TAC.2022.3167310",

language = "English (US)",

volume = "67",

pages = "4932--4938",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "9",

}

TY - JOUR

T1 - Convex Optimization of Bioprocesses

AU - Taylor, Josh A.

AU - Rapaport, Alain

AU - Dochain, Denis

PY - 2022/9/1

Y1 - 2022/9/1

N2 - We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady-state cases. When the growth kinetics are modeled by the Contois or, under constant biomass, Monod or Powell functions, the relaxation is a second-order cone program, which can be solved efficiently at large scales. We implement the model on a numerical example based on a wastewater treatment system.

AB - We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady-state cases. When the growth kinetics are modeled by the Contois or, under constant biomass, Monod or Powell functions, the relaxation is a second-order cone program, which can be solved efficiently at large scales. We implement the model on a numerical example based on a wastewater treatment system.

KW - Bioprocess

KW - compartmental system

KW - convex relaxation

KW - second-order cone programming (SOCP)

KW - wastewater treatment

UR - http://www.scopus.com/inward/record.url?scp=85128296718&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85128296718&partnerID=8YFLogxK

U2 - 10.1109/TAC.2022.3167310

DO - 10.1109/TAC.2022.3167310

M3 - Article

AN - SCOPUS:85128296718

SN - 0018-9286

VL - 67

SP - 4932

EP - 4938

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 9

ER -

Convex Optimization of Bioprocesses

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this