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On the role of pharmacometrics in mathematical models for cancer treatments
Discrete and Continuous Dynamical Systems-Series B ( IF 1.3 ) Pub Date : 2020-07-03 , DOI: 10.3934/dcdsb.2020213
Urszula Ledzewicz , , Heinz Schättler , ,

We review and discuss various aspects that the modeling of pharmacometric properties has on the structure of optimal solutions in mathematical models for cancer treatment. These include (i) the changes in the interpretation of the solutions as pharmacokinetic (PK) models are added, respectively deleted from the modeling and (ii) qualitative changes in the structures of optimal controls that occur as pharmacodynamic (PD) models are varied. The results will be illustrated with a sample of models for cancer treatment.

中文翻译:

关于药理学在癌症治疗数学模型中的作用

我们审查和讨论药理学性质建模对癌症治疗数学模型中最佳解决方案的结构所具有的各个方面。其中包括(i)随着药代动力学(PK)模型的增加或从模型中删除,溶液解释的变化;以及(ii)随着药效学(PD)模型的变化,最佳对照的结构发生质的变化。结果将通过癌症治疗模型样本进行说明。
更新日期:2020-07-03
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