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Optimal control of bacterial growth for the maximization of metabolite production ArchiMer
Yegorov, Ivan; Mairet, Francis; De Jong, Hidde; Gouze, Jean-luc.
Microorganisms have evolved complex strategies for controlling the distribution of available resources over cellular functions. Biotechnology aims at interfering with these strategies, so as to optimize the production of metabolites and other compounds of interest, by (re)engineering the underlying regulatory networks of the cell. The resulting reallocation of resources can be described by simple so-called self-replicator models and the maximization of the synthesis of a product of interest formulated as a dynamic optimal control problem. Motivated by recent experimental work, we are specifically interested in the maximization of metabolite production in cases where growth can be switched off through an external control signal. We study various optimal...
Tipo: Text Palavras-chave: Optimal control; Nonlinear dynamical systems; Mathematical modelling; Bacterial growth; Biotechnology.
Ano: 2019 URL: https://archimer.ifremer.fr/doc/00486/59791/63028.pdf
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Optimal feedback strategies for bacterial growth with degradation, recycling, and effect of temperature ArchiMer
Yegorov, Ivan; Mairet, Francis; Gouze, Jean-luc.
Mechanisms of bacterial adaptation to environmental changes are of great interest for both fundamental biology and engineering applications. In this work, we consider a continuous-time dynamic problem of resource allocation between metabolic and gene expression machineries for a self-replicating prokaryotic cell population. In compliance with evolutionary principles, the criterion is to maximize the accumulated structural biomass. In the model, we include both the degradation of proteins into amino acids and the recycling of the latter (ie, using as precursors again). On the basis of the analytical investigation of our problem by Pontryagin's maximum principle, we develop a numerical method to approximate the switching curve of the optimal feedback control...
Tipo: Text Palavras-chave: Bacterial growth; Chattering regime; Effect of temperature; Feedback strategy; Optimal control; Pontryagin's maximum principle; Protein degradation; Recycling; Resource allocation; Singular regime; Switching curve.
Ano: 2018 URL: https://archimer.ifremer.fr/doc/00434/54592/56057.pdf
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