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Geometric Optimal Control of the Generalized Lotka--Volterra Model of the Intestinal Microbiome
  • Rouot Jérémy,
  • Bernard Bonnard,
  • Cristina Silva
Rouot Jérémy
Laboratoire de Mathematiques de Bretagne Atlantique

Corresponding Author:[email protected]

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Bernard Bonnard
Institut de Mathematiques de Bourgogne
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Cristina Silva
ISCTE-Instituto Universitario de Lisboa Incubadora Labs Lisboa
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We introduce the theoretical framework from geometric optimal control for a control system modeled by the Generalized Lotka-Volterra (GLV) equation, motivated by restoring the gut microbiota infected by Clostridium difficile combining antibiotic treatment and fecal injection. We consider both permanent control and sampled-data control related to the medical protocols.
15 Nov 2022Submitted to Optimal Control, Applications and Methods
15 Nov 2022Submission Checks Completed
15 Nov 2022Assigned to Editor
15 Nov 2022Review(s) Completed, Editorial Evaluation Pending
22 Nov 2022Reviewer(s) Assigned
17 Mar 2023Editorial Decision: Revise Minor
14 Jul 20231st Revision Received
25 Jul 2023Submission Checks Completed
25 Jul 2023Assigned to Editor
25 Jul 2023Review(s) Completed, Editorial Evaluation Pending
25 Jul 2023Reviewer(s) Assigned