文章基本信息

标题：Robust Optimal Control-based Design of Combined Chemo- and Immunotherapy Delivery Profiles
本地全文：下载
作者：Kaouther Moussa ; Mirko Fiacchini ; Mazen Alamir 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：26
页码：76-81
DOI：10.1016/j.ifacol.2019.12.239
语种：English
出版社：Elsevier
摘要：This paper addresses the problem of drug injection schedules design for cancer treatment, in the presence of model parametric uncertainties. It is commonly known that achieving optimal recovery performances under uncertainties is a complex task. Therefore, we propose to use a recent optimal control approach, based on the moment optimization framework. This method allows to formulate and solve robust optimal control problems by taking into account uncertain parameters and initial states, modeled as probability distributions. We analyse a two dimensional model that describes the interaction dynamics between tumor and immune cells. Furthermore, we derive statistically optimal combined strategies of chemo-and immunotherapy treatments, assuming the knowledge of probability distributions of some uncertain model parameters, namely, the tumor growth rate and the rate of immune cells influx. Numerical simulations are carried out in order to illustrate the effects of parametric uncertainties on dynamics, when using a nominal injection profile. Finally, we compare the recovery performance of nominal and robust schedules.
关键词：KeywordsBiomedical controlrobust optimal controluncertain dynamic systemsgeneralized moment problemcancer treatment schedulingchemotherapyimmunotherapy