Probabilistically Certified Region of Attraction of a Tumor Growth Model with Combined Chemo- and Immunotherapy

2020/04/29 by Kaouther Moussa, Mirko Fiacchini, Moussa, Kaouther +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · Mathematics · Medicine · #FOS: Electrical engineering #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Monoclonal and Polyclonal Antibodies Research #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2004.14077

arxiv created 2020/04/29 · openalex publication_date 2020/04/29 · arxiv updated 2020/04/30 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

This paper deals with the estimation of regions of attraction (RoAs) under parametric uncertainties for a cancer growth model with combined therapies. We propose a framework of probabilistic certification, based on the randomized methods, in order to derive probabilistically certified RoAs of a cancer growth model. The model that we consider in this paper describes the interaction between tumor and immune system in presence of a combined chemo- and immunotherapy. Furthermore, we model the concentration of the chemotherapy agent in the body via a pharmacokinetic equation.

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