Geometric optimal control of the generalized Lotka–Volterra model of the intestinal microbiome-Reference-Cited by-同舟云学术

Geometric optimal control of the generalized Lotka–Volterra model of the intestinal microbiome

Published:2024-02-06 Issue:2 Volume:45 Page:544-574
ISSN:0143-2087
Container-title:Optimal Control Applications and Methods
language:en
Short-container-title:Optim Control Appl Methods

Author:

Bonnard Bernard¹²,Rouot Jérémy³^ORCID,Silva Cristiana J⁴⁵

Affiliation:

1. Université de Bourgogne Franche‐Comté, Institut de Mathématiques de Bourgogne Dijon France

2. Inria Sophia Antipolis Sophia Antipolis France

3. Univ Brest, UMR CNRS 6205, Laboratoire de Mathématiques de Bretagne Atlantique Brest France

4. Iscte ‐ Instituto Universitário de Lisboa Lisbon Portugal

5. Center for Research and Development in Mathematics and Applications (CIDMA) Aveiro Portugal

Abstract

AbstractWe introduce the theoretical framework from geometric optimal control for a control system modeled by the generalized Lotka–Volterra 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.

Funder

Center for Research and Development in Mathematics and Applications

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/oca.3089

Reference28 articles.

1. A theoretical framework for controlling complex microbial communities

2. AIMS Series on Applied Mathematics;Jones EW,2020

3. Ecological Modeling from Time-Series Inference: Insight into Dynamics and Stability of Intestinal Microbiota

4. Cambridge Studies in Advanced Mathematics;Jurdjevic V,1997

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