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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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