Preliminary in silico experiments: Towards new cancer treatments?

Michel Fliess (1, 2) , Cedric 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
5 The University of Tennessee [Knoxville]

We present some “in silico” experiments to design combined chemo- and immunotherapy treatment schedules. We introduce a new framework by combining flatness-based control 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.

Mots clés: cancer; chemotherapy; immunotherapy; flatness-based control; model-free control; Cancer

Domaines: Cancer; Bio-Informatique, Biologie Systémique [q-bio.QM]; Systèmes et contrôle [cs.SY]; Automatique; Automatique / Robotique; Optimisation et contrôle [math.OC]

Michel Fliess, Cedric Join, Kaouther Moussa, Seddik Djouadi, Mohamed Alsager. Preliminary in silico experiments: Towards new cancer treatments?. 2021. ⟨hal-03191649⟩