Robust domain of attraction estimation for a tumor growth model. (English) Zbl 1510.92099

Moussa, Kaouther; Fiacchini, Mirko; Alamir, Mazen

Appl. Math. Comput. 410, Article ID 126482, 13 p. (2021).

Summary: This paper deals with the estimation of regions of attraction (RoAs) for a cancer dynamical model. The estimation of this type of sets is important in the field of control for cancer dynamics, since it provides the set of possible initial health indicators, for which a treatment protocol exists allowing to heal the patient. In this paper, a methodology is proposed to estimate the region of attraction of a nonlinear dynamical system describing the interaction between a tumor, the immune system and combined therapies of cancer. A method for characterizing the RoA for a given model parameter vector is provided and employed in order to derive an outer approximation of the robust RoA under parametric uncertainties.

MSC:

92C50	Medical applications (general)
34C60	Qualitative investigation and simulation of ordinary differential equation models
34H05	Control problems involving ordinary differential equations
93D20	Asymptotic stability in control theory

Keywords:

cancer dynamical model; chemoimmunotherapy; domain of attraction estimation; uncertain systems; parametric uncertainties

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