Optimal robust control of drug delivery in cancer chemotherapy: A comparison between three control approaches
Optimal robust control of drug delivery in cancer chemotherapy: A comparison between three control approaches
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DOI：
10.1016/j.cmpb.2013.06.020
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发表时间：
2013-10-01
影响因子：
6.1
通讯作者：
Salarieh, Hassan
中科院分区：
文献类型：
--
作者：
Moradi, Hamed;Vossoughi, Gholamreza;Salarieh, Hassan
在化疗的药物递送过程中，癌细胞和正常健康细胞都可能被杀死。本文考虑了三种细胞杀伤数学模型：对数杀伤假设、Norton-Simon假设和E-max假设。提出了基于最优线性调节、基于极值变化的非线性最优控制和基于μ综合的H ∞鲁棒控制三种控制方法。定义了一个适当的成本函数，使得所需药物的量最小化，同时肿瘤体积减小。第一次，系统的性能进行了研究和比较的三种控制策略，应用在三个非线性模型的过程。此外，他们的效率进行了比较，在模型参数的不确定性。结果表明，在存在模型不确定性的情况下，基于极值变化量设计的控制器比线性调节控制器更有效。然而，H ∞鲁棒控制是更有效地提高不确定模型的鲁棒性能，更快地减少肿瘤和最小的药物使用。(C)2013爱思唯尔爱尔兰有限公司版权所有。
During the drug delivery process in chemotherapy, both of the cancer cells and normal healthy cells may be killed. In this paper, three mathematical cell-kill models including log-kill hypothesis, Norton-Simon hypothesis and E-max hypothesis are considered. Three control approaches including optimal linear regulation, nonlinear optimal control based on variation of extremals and H-infinity-robust control based on mu-synthesis are developed. An appropriate cost function is defined such that the amount of required drug is minimized while the tumor volume is reduced. For the first time, performance of the system is investigated and compared for three control strategies; applied on three nonlinear models of the process. In additions, their efficiency is compared in the presence of model parametric uncertainties. It is observed that in the presence of model uncertainties, controller designed based on variation of extremals is more efficient than the linear regulation controller. However, H-infinity-robust control is more efficient in improving robust performance of the uncertain models with faster tumor reduction and minimum drug usage. (C) 2013 Elsevier Ireland Ltd. All rights reserved.