Convex optimization of bioprocesses

Josh Taylor; Alain Rapaport; Denis Dochain

doi:10.1109/TAC.2022.3167310

Convex optimization of bioprocesses

Josh 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)
Journal	IEEE Transactions on Automatic Control
DOIs	https://doi.org/10.1109/TAC.2022.3167310
State	Accepted/In press - 2022
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Keywords

Biomass
Bioprocess
compartmental system
convex relaxation
Kinetic theory
Media
second-order cone programming
Steady-state
Substrates
Trajectory
Transient analysis
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 = "Josh Taylor and Alain Rapaport and Denis Dochain",

note = "Publisher Copyright: IEEE",

year = "2022",

doi = "10.1109/TAC.2022.3167310",

language = "English (US)",

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T1 - Convex optimization of bioprocesses

AU - Taylor, Josh

AU - Rapaport, Alain

AU - Dochain, Denis

N1 - Publisher Copyright: IEEE

PY - 2022

Y1 - 2022

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 - Biomass

KW - Bioprocess

KW - compartmental system

KW - convex relaxation

KW - Kinetic theory

KW - Media

KW - second-order cone programming

KW - Steady-state

KW - Substrates

KW - Trajectory

KW - Transient analysis

KW - wastewater treatment

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SN - 0018-9286

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

ER -

Convex optimization of bioprocesses

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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