肠道微生物群广义洛特卡-伏特拉模型的几何优化控制

Optimal Control Applications and Methods Pub Date : 2024-02-06 DOI:10.1002/oca.3089

Bernard Bonnard, Jérémy Rouot, Cristiana J Silva

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摘要

我们以结合抗生素治疗和粪便注射恢复受艰难梭菌感染的肠道微生物群为动机，从几何最优控制的角度介绍了以广义洛特卡-伏特拉方程为模型的控制系统的理论框架。我们考虑了与医疗方案相关的永久控制和采样数据控制。

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

We 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.

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Optimal Control Applications and Methods

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