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论目标在生物医学治疗房室模型优化中的作用

On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies.

作者信息

Ledzewicz Urszula, Schättler Heinz

机构信息

Lodz University of Technology, 90-924 Lodz, Poland.

Southern Illinois University Edwardsville, Edwardsville, IL 62026-1653 USA.

出版信息

J Optim Theory Appl. 2020;187(2):305-335. doi: 10.1007/s10957-020-01754-2. Epub 2020 Sep 30.

DOI:10.1007/s10957-020-01754-2
PMID:33012845
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7525767/
Abstract

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.

摘要

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所获得的结果。我们讨论了动力学建模的各个方面（如生长和相互作用项）、治疗建模（包括药物的药代动力学），并特别关注要最小化的目标函数的选择。实际上，最优解的许多性质由这种选择预先决定，而这种选择通常只是随意地使用一些简单的临时启发式方法做出的。我们讨论了通过考虑问题的基础生物学来改进这种选择的方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/6af179545a73/10957_2020_1754_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/5c60b778a752/10957_2020_1754_Fig1_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/61272f518b60/10957_2020_1754_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/6af179545a73/10957_2020_1754_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/5c60b778a752/10957_2020_1754_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/7838e810c5ca/10957_2020_1754_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/0e747ba5e0de/10957_2020_1754_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/00d096f5f1f4/10957_2020_1754_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/08ac6b0d3a8a/10957_2020_1754_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/3408765ef8c2/10957_2020_1754_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/b670574c556d/10957_2020_1754_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/6501cbe29195/10957_2020_1754_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/61272f518b60/10957_2020_1754_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3eb2/7525767/6af179545a73/10957_2020_1754_Fig10_HTML.jpg

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