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Toward simple in silico experiments for drugs administration in some cancer treatments

Michel Fliess 1, 2 Cédric Join 3, 2 Kaouther Moussa 4 Seddik Djouadi 5 Mohamed Alsager 5
1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 AL.I.E.N. - ALgèbre pour Identification & Estimation Numériques
3 CRAN - Centre de Recherche en Automatique de Nancy
4 GIPSA-COPERNIC - GIPSA - COntrol, PErception, Robots, navigation and Intelligent Computing
GIPSA-PSD - GIPSA Pôle Sciences des Données
5 The University of Tennessee [Knoxville]
Abstract : We present some "in silico" experiments to design combined chemo-and immunotherapy treatment schedules. We introduce a new framework by combining flatness-based control, which is a model-based setting, along with model-free control. The flatness property of the used mathematical model yields straightforward reference trajectories. They provide us with the nominal open-loop control inputs. Closing the loop via model-free control allows to deal with the uncertainties on the injected drug doses. Several numerical simulations illustrating different case studies are displayed. We show in particular that the considered health indicators are driven to the safe region, even for critical initial conditions. Furthermore, in some specific cases there is no need to inject chemotherapeutic agents.
Keywords : biomedical control cancer nonlinear control fault accommodation flatness-based control model-free control shooting method
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https://hal-polytechnique.archives-ouvertes.fr/hal-03299417
Contributor : Michel Fliess Connect in order to contact the contributor
Submitted on : Wednesday, November 10, 2021 - 2:35:50 PM
Last modification on : Saturday, November 20, 2021 - 11:49:50 PM

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Michel Fliess, Cédric Join, Kaouther Moussa, Seddik Djouadi, Mohamed Alsager. Toward simple in silico experiments for drugs administration in some cancer treatments. 11th IFAC symposium on Biological and Medical Systems, BMS 2021, Sep 2021, Ghent, Belgium. ⟨10.1016/j.ifacol.2021.10.263⟩. ⟨hal-03299417v2⟩

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