Optimal cell growth under periodic environment
Résumé
We study the optimization of resource allocation in bacteria evolving in periodic environments. We use a dynamical model of the metabolism of these microorganisms with a control variable representing the allocation of protein precursors. We mathematically define the objective of maximizing the long-term growth of a given cell. We carry out a theoretical analysis of the resulting dynamical optimal control problem (DOCP), which we complete with a numerical resolution of its solution.Then we examine the effects of period and amplitude of the external forcing.
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