论文标题

肿瘤生长模型与化学疗法合并的肿瘤生长模型的吸引力区域

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

论文作者

Moussa, Kaouther, Fiacchini, Mirko, Alamir, Mazen

论文摘要

本文介绍了与综合疗法的癌症生长模型的参数不确定性下吸引区域(ROA)的估计。我们根据随机方法提出了一个概率认证框架,以得出癌症生长模型的概率认证的ROA。我们在本文中考虑的模型描述了在合并化学和免疫疗法的存在下肿瘤与免疫系统之间的相互作用。此外,我们通过药代动力学方程对体内化疗剂的浓度进行建模。

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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