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Robust domain of attraction estimation for a tumor growth model

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  • Moussa, Kaouther
  • Fiacchini, Mirko
  • Alamir, Mazen

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.

Suggested Citation

  • Moussa, Kaouther & Fiacchini, Mirko & Alamir, Mazen, 2021. "Robust domain of attraction estimation for a tumor growth model," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    • Handle: RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005713
    DOI: 10.1016/j.amc.2021.126482
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    References listed on IDEAS

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    1. Urszula Ledzewicz & Heinz Schättler, 2020. "On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies," Journal of Optimization Theory and Applications, Springer, vol. 187(2), pages 305-335, November.
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