---
_id: '30861'
abstract:
- lang: eng
  text: <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>
author:
- first_name: Jean-Baptiste
  full_name: Caillau, Jean-Baptiste
  last_name: Caillau
- first_name: Walid
  full_name: Djema, Walid
  last_name: Djema
- first_name: Jean-Luc
  full_name: Gouzé, Jean-Luc
  last_name: Gouzé
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Jean-Baptiste
  full_name: Pomet, Jean-Baptiste
  last_name: Pomet
citation:
  ama: 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>
  apa: Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., &#38; Pomet, J.-B.
    (2022). Turnpike Property in Optimal Microbial Metabolite Production. <i>Journal
    of Optimization Theory and Applications</i>. <a href="https://doi.org/10.1007/s10957-022-02023-0">https://doi.org/10.1007/s10957-022-02023-0</a>
  bibtex: '@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property
    in Optimal Microbial Metabolite Production}, DOI={<a href="https://doi.org/10.1007/s10957-022-02023-0">10.1007/s10957-022-02023-0</a>},
    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}
    }'
  chicago: Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya,
    and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.”
    <i>Journal of Optimization Theory and Applications</i>, 2022. <a href="https://doi.org/10.1007/s10957-022-02023-0">https://doi.org/10.1007/s10957-022-02023-0</a>.
  ieee: 'J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike
    Property in Optimal Microbial Metabolite Production,” <i>Journal of Optimization
    Theory and Applications</i>, 2022, doi: <a href="https://doi.org/10.1007/s10957-022-02023-0">10.1007/s10957-022-02023-0</a>.'
  mla: Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite
    Production.” <i>Journal of Optimization Theory and Applications</i>, Springer
    Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s10957-022-02023-0">10.1007/s10957-022-02023-0</a>.
  short: J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal
    of Optimization Theory and Applications (2022).
date_created: 2022-04-08T17:23:13Z
date_updated: 2022-04-08T18:23:02Z
department:
- _id: '636'
doi: 10.1007/s10957-022-02023-0
keyword:
- Applied Mathematics
- Management Science and Operations Research
- Control and Optimization
language:
- iso: eng
publication: Journal of Optimization Theory and Applications
publication_identifier:
  issn:
  - 0022-3239
  - 1573-2878
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Turnpike Property in Optimal Microbial Metabolite Production
type: journal_article
user_id: '87909'
year: '2022'
...