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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:jeremy.rouot@univ-brest.fr

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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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Abstract

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.

Peer review status:UNDER REVIEW

15 Nov 2022Submitted to Optimal Control, Applications and Methods
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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