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Optimal production of microalgae in the presence of grazers.
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SYSNO ASEP 0562604 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Optimal production of microalgae in the presence of grazers. Author(s) Martínez, Carlos (BC-A) RID, ORCID
Pessi, B.A. (FR)
Bernard, O. (FR)Number of authors 3 Source Title Journal of Process Control. - : Elsevier - ISSN 0959-1524
Roč. 118, Oct (2022), s. 153-164Number of pages 12 s. Language eng - English Country GB - United Kingdom Keywords Biotechnology ; Chemostat ; Predator-prey ; Optimal control ; Biomass productivity ; Dilution rate Subject RIV BD - Theory of Information OECD category Applied mathematics R&D Projects EF18_053/0016982 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Open access Institutional support BC-A - RVO:60077344 UT WOS 000863338700002 EID SCOPUS 85138588639 DOI 10.1016/j.jprocont.2022.09.001 Annotation Zooplankton contamination represents a major constraint in large-scale microalgal cultivation systems. While zooplankton contamination cannot be avoided, their development can be controlled by regulat-ing the dilution rate. However, it is not straightforward to find the best control strategy for the dilution rate. Low dilution rates (or long retention times) favor grazer development and high dilution rates avoid their establishment at the risk of reducing microalgal productivity. Furthermore, the presence of periodic regimes arising from the interaction predator-prey makes it unclear if the presence of grazers must be completely avoided. In this paper, we study the role of the dilution rate in the control of zooplankton populations and in the optimization of biomass productivity. We show that in the long-term operation (static optimal control problem or SOCP), the optimal constant dilution rate must ensure the eradication of the zooplankton population. In the case of time-varying dilution rate, we numerically solve an optimal control problem (OCP) over a finite interval of time. We find that the optimal solution approaches the solution for the SOCP most of the time, except when zooplankton actively avoid the pond outflow. Based on these results, we propose a simple sub-optimal feedback control that approximately matches the solution of the OCP when the initial concentration of grazers is low.(c) 2022 Elsevier Ltd. All rights reserved. Workplace Biology Centre (since 2006) Contact Dana Hypšová, eje@eje.cz, Tel.: 387 775 214 Year of Publishing 2023 Electronic address https://doi.org/10.1016/j.jprocont.2022.09.001
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