联合化疗和免疫治疗的肿瘤生长模型的概率证明吸引区
Probabilistically Certified Region of Attraction of a Tumor Growth Model with Combined Chemo- and Immunotherapy
摘要：
研究了参数不确定性下癌症生长模型的吸引域估计问题。我们提出了一个框架的概率认证，基于随机化的方法，以获得概率认证的RoA的癌症生长模型。我们在本文中考虑的模型描述了在联合化疗和免疫治疗的存在下肿瘤和免疫系统之间的相互作用。此外，我们通过药代动力学方程模拟体内化疗药物的浓度。
英文摘要：
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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