Turnpike Property in Optimal Microbial Metabolite Production Caillau, Jean-Baptiste Djema, Walid Gouzé, Jean-Luc Maslovskaya, Sofya Pomet, Jean-Baptiste Applied Mathematics Management Science and Operations Research Control and Optimization <jats:title>Abstract</jats:title><jats:p>We consider the problem of maximization of metabolite production in bacterial cells formulated as a dynamical optimal control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions are concatenations of singular and bang arcs and exhibit the chattering or <jats:italic>Fuller</jats:italic> phenomenon, which is problematic for applications. To avoid chattering, we introduce a reduced model which is still biologically relevant and retains the important structural features of the original problem. Using a combination of analytical and numerical methods, we show that the singular arc is dominant in the studied DOCPs and exhibits the <jats:italic>turnpike</jats:italic> property. This property is further used in order to design simple and realistic suboptimal control strategies.</jats:p> Springer Science and Business Media LLC 2022 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_6501 https://ris.uni-paderborn.de/record/30861 Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. <i>Journal of Optimization Theory and Applications</i>. Published online 2022. doi:<a href="https://doi.org/10.1007/s10957-022-02023-0">10.1007/s10957-022-02023-0</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s10957-022-02023-0 info:eu-repo/semantics/altIdentifier/issn/0022-3239 info:eu-repo/semantics/altIdentifier/issn/1573-2878 info:eu-repo/semantics/closedAccess