Search

• An extensive parametric analysis for a cancer dynamical model is carried out. • The cancer growth model incorporates commonly non considered terms. • Necessary and sufficient conditions on the existence of equilibrium points are provided. • A readily applicable methodology to compute regions of attraction is proposed. • An estimation of the robust region of attraction is provided. 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. [ABSTRACT FROM AUTHOR]