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On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies
Journal of Optimization Theory and Applications ( IF 1.9 ) Pub Date : 2020-09-30 , DOI: 10.1007/s10957-020-01754-2
Urszula Ledzewicz 1, 2 , Heinz Schättler 3
Affiliation  

We review and discuss results obtained through an application of tools of nonlinear optimal control to biomedical problems. We discuss various aspects of the modeling of the dynamics (such as growth and interaction terms), modeling of treatment (including pharmacometrics of the drugs), and give special attention to the choice of the objective functional to be minimized. Indeed, many properties of optimal solutions are predestined by this choice which often is only made casually using some simple ad hoc heuristics. We discuss means to improve this choice by taking into account the underlying biology of the problem.

中文翻译:

关于目标在优化生物医学治疗室模型中的作用

我们回顾并讨论了通过将非线性最优控制工具应用于生物医学问题而获得的结果。我们讨论动力学建模的各个方面(例如生长和相互作用项)、治疗建模(包括药物的药理学),并特别注意要最小化的目标函数的选择。事实上,最优解的许多属性都是由这种选择所注定的,而这种选择通常只是使用一些简单的临时启发式方法随便做出的。我们讨论了通过考虑问题的潜在生物学来改进这种选择的方法。
更新日期:2020-09-30
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