{"title":"基于增强对流给药的恶性肿瘤化疗优化","authors":"O. B. Stelya, D. Klyushin","doi":"10.17721/2706-9699.2022.1.06","DOIUrl":null,"url":null,"abstract":"The article describes a numerical method for optimizing the chemotherapy of malignant tumors on the basis of drug delivery using increased convection. The problem of optimal control with point sources for reaching the desired intratumor distribution of drugs in macroscopic scale granting the properties of intersticial space and effects of convective diffusion is considered. The efficiency of proposed algorithm for optimal control is shown.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"21 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"OPTIMIZATION OF CHEMOTHERAPY OF MALIGNANT TUMORS BASED ON DELIVERY OF DRUGS WITH ENHANCED CONVECTION\",\"authors\":\"O. B. Stelya, D. Klyushin\",\"doi\":\"10.17721/2706-9699.2022.1.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article describes a numerical method for optimizing the chemotherapy of malignant tumors on the basis of drug delivery using increased convection. The problem of optimal control with point sources for reaching the desired intratumor distribution of drugs in macroscopic scale granting the properties of intersticial space and effects of convective diffusion is considered. The efficiency of proposed algorithm for optimal control is shown.\",\"PeriodicalId\":40347,\"journal\":{\"name\":\"Journal of Numerical and Applied Mathematics\",\"volume\":\"21 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Numerical and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17721/2706-9699.2022.1.06\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/2706-9699.2022.1.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
OPTIMIZATION OF CHEMOTHERAPY OF MALIGNANT TUMORS BASED ON DELIVERY OF DRUGS WITH ENHANCED CONVECTION
The article describes a numerical method for optimizing the chemotherapy of malignant tumors on the basis of drug delivery using increased convection. The problem of optimal control with point sources for reaching the desired intratumor distribution of drugs in macroscopic scale granting the properties of intersticial space and effects of convective diffusion is considered. The efficiency of proposed algorithm for optimal control is shown.
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