{"title":"肿瘤化疗:线性最优控制的研究","authors":"S. Sabir, N. Raissi, M. Serhani","doi":"10.1109/ICOA49421.2020.9094505","DOIUrl":null,"url":null,"abstract":"This work is based on the Kuznetsov model which is composed of two ordinary differential equations describing the dynamics of tumor and effector cells as well as their interaction. We introduce in this model a control variable which describes a chemotherapy treatment. The goal is to characterize a minimum dose that minimizes the density of tumor cells to reduce the impact of treatment side effects on the patient's health. The necessary optimality conditions are provided. Since the control variable appears linearly in the assiciated problem, optimal controls are concatenations of bang-bang and singular arcs.","PeriodicalId":253361,"journal":{"name":"2020 IEEE 6th International Conference on Optimization and Applications (ICOA)","volume":"480-481 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chemotherapy for Tumors: a Study of Linear Optimal Control\",\"authors\":\"S. Sabir, N. Raissi, M. Serhani\",\"doi\":\"10.1109/ICOA49421.2020.9094505\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work is based on the Kuznetsov model which is composed of two ordinary differential equations describing the dynamics of tumor and effector cells as well as their interaction. We introduce in this model a control variable which describes a chemotherapy treatment. The goal is to characterize a minimum dose that minimizes the density of tumor cells to reduce the impact of treatment side effects on the patient's health. The necessary optimality conditions are provided. Since the control variable appears linearly in the assiciated problem, optimal controls are concatenations of bang-bang and singular arcs.\",\"PeriodicalId\":253361,\"journal\":{\"name\":\"2020 IEEE 6th International Conference on Optimization and Applications (ICOA)\",\"volume\":\"480-481 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE 6th International Conference on Optimization and Applications (ICOA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOA49421.2020.9094505\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE 6th International Conference on Optimization and Applications (ICOA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOA49421.2020.9094505","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Chemotherapy for Tumors: a Study of Linear Optimal Control
This work is based on the Kuznetsov model which is composed of two ordinary differential equations describing the dynamics of tumor and effector cells as well as their interaction. We introduce in this model a control variable which describes a chemotherapy treatment. The goal is to characterize a minimum dose that minimizes the density of tumor cells to reduce the impact of treatment side effects on the patient's health. The necessary optimality conditions are provided. Since the control variable appears linearly in the assiciated problem, optimal controls are concatenations of bang-bang and singular arcs.
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