Bacteria Mutualism in a Chemostat: Analysis and Optimization with Interval Detector

Juan Carlos Arceo*, Olivier Bernard, Jean Luc Gouze

*Corresponding author for this work

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Abstract

This work focuses on a model of two bacteria growing and exchanging nutrients in a chemostat. Bacterial uptake rate is described via Michaelis-Menten equations; we assume a constant yield and metabolite production directly proportional to bacterial growth. We analyse the model via a reduced order system, then, conditions to determine existence and global stability of the equilibria are given in terms of the dilution rate. Finally, bacterial productivity is maximized; an interval detector is designed to estimate this productivity and an optimization strategy for periodic dilution rates is proposed.

Original languageEnglish
Title of host publication2022 IEEE 61st Conference on Decision and Control, CDC 2022
Number of pages6
PublisherIEEE Signal Processing Society
Publication date2022
Pages3225-3230
ISBN (Electronic)9781665467612
DOIs
Publication statusPublished - 2022
Externally publishedYes
Event61st IEEE Conference on Decision and Control, CDC 2022 - Cancun, Mexico
Duration: 6 Dec 20229 Dec 2022

Conference

Conference61st IEEE Conference on Decision and Control, CDC 2022
Country/TerritoryMexico
CityCancun
Period06/12/202209/12/2022
Sponsoret al., MathWorks, Mitsubishi Electric, Quanser, Raytheon Technologies, Society for Industrial and Applied Mathematics (SIAM)
SeriesProceedings of the IEEE Conference on Decision and Control
Volume2022-December
ISSN0743-1546

Bibliographical note

Publisher Copyright:
© 2022 IEEE.

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