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Geometric Optimal Control of the Generalized Lotka-Volterra Model of the Intestinal Microbiome

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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.
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Dates and versions

hal-03861565 , version 1 (20-11-2022)

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  • HAL Id : hal-03861565 , version 1

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Bernard Bonnard, Jérémy Rouot, Cristiana Silva. Geometric Optimal Control of the Generalized Lotka-Volterra Model of the Intestinal Microbiome. 2022. ⟨hal-03861565⟩
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