Robust domain of attraction estimation for a tumor growth model

Kaouther Moussa, Mirko Fiacchini and Mazen Alamir

Applied Mathematics and Computation, 2021, vol. 410, issue C

Abstract: 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.

Keywords: Cancer dynamical model; Chemoimmunotherapy; Domain of attraction estimation; Uncertain systems; Parametric uncertainties (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005713

DOI: 10.1016/j.amc.2021.126482

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