1. Toward simple in silico experiments for drugs administration in some cancer treatments
- Author
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Kaouther Moussa, Mohamed W. Alsager, Seddik M. Djouadi, Cédric Join, Michel Fliess, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), GIPSA - COntrol, PErception, Robots, navigation and Intelligent Computing (GIPSA-COPERNIC), GIPSA Pôle Sciences des Données (GIPSA-PSD), Grenoble Images Parole Signal Automatique (GIPSA-lab), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP ), Université Grenoble Alpes (UGA)-Grenoble Images Parole Signal Automatique (GIPSA-lab), Université Grenoble Alpes (UGA), The University of Tennessee [Knoxville], and Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
0209 industrial biotechnology ,J.3 ,Property (programming) ,Computer science ,In silico ,Flatness (systems theory) ,flatness-based control ,[SDV.CAN]Life Sciences [q-bio]/Cancer ,02 engineering and technology ,Systems and Control (eess.SY) ,Nonlinear control ,model-free control ,01 natural sciences ,Electrical Engineering and Systems Science - Systems and Control ,020901 industrial engineering & automation ,Control theory ,[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering ,FOS: Electrical engineering, electronic engineering, information engineering ,FOS: Mathematics ,[INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY] ,cancer ,Control (linguistics) ,Closing (morphology) ,Mathematics - Optimization and Control ,Simple (philosophy) ,92C42, 93B52 ,010401 analytical chemistry ,shooting method ,fault accommodation ,0104 chemical sciences ,3. Good health ,Control and Systems Engineering ,Optimization and Control (math.OC) ,biomedical control ,nonlinear control ,[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] ,Injected drug - 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., Comment: IFAC Symposium on Biological and Medical Systems - 11th BMS 2021 -- Ghent, Belgium, 19-22 September 2021
- Published
- 2021