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

2 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

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10.1109/TAC.2022.3167310

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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.",

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

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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

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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

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