[{"citation":{"short":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).","ieee":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” Journal of Optimization Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.","ama":"Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0","apa":"Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0","chicago":"Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.","bibtex":"@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }","mla":"Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” Journal of Optimization Theory and Applications, Springer Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0."},"year":"2022","type":"journal_article","language":[{"iso":"eng"}],"_id":"30861","date_updated":"2022-04-08T18:23:02Z","doi":"10.1007/s10957-022-02023-0","author":[{"last_name":"Caillau","first_name":"Jean-Baptiste","full_name":"Caillau, Jean-Baptiste"},{"last_name":"Djema","full_name":"Djema, Walid","first_name":"Walid"},{"last_name":"Gouzé","full_name":"Gouzé, Jean-Luc","first_name":"Jean-Luc"},{"full_name":"Maslovskaya, Sofya","first_name":"Sofya","id":"87909","last_name":"Maslovskaya"},{"last_name":"Pomet","full_name":"Pomet, Jean-Baptiste","first_name":"Jean-Baptiste"}],"publisher":"Springer Science and Business Media LLC","publication":"Journal of Optimization Theory and Applications","department":[{"_id":"636"}],"keyword":["Applied Mathematics","Management Science and Operations Research","Control and Optimization"],"publication_identifier":{"issn":["0022-3239","1573-2878"]},"publication_status":"published","status":"public","date_created":"2022-04-08T17:23:13Z","abstract":[{"lang":"eng","text":"AbstractWe 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 Fuller 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 turnpike property. This property is further used in order to design simple and realistic suboptimal control strategies."}],"title":"Turnpike Property in Optimal Microbial Metabolite Production","user_id":"87909"}]