A. Kovtanyuk, A. Chebotarev, T. Seleznev, R. Lampe
{"title":"未知表面源的脑氧运输模型","authors":"A. Kovtanyuk, A. Chebotarev, T. Seleznev, R. Lampe","doi":"10.1109/DD55230.2022.9960959","DOIUrl":null,"url":null,"abstract":"The analysis of an optimization algorithm for solving an inverse problem for the cerebral oxygen transport model is carried out. A theorem on the solvability of the optimal control problem is presented, an optimality system is constructed, and the convergence of approximate solutions to the solution of the inverse problem is proved. The results of numerical simulation are presented.","PeriodicalId":125852,"journal":{"name":"2022 Days on Diffraction (DD)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cerebral oxygen transport model with unknown surface sources\",\"authors\":\"A. Kovtanyuk, A. Chebotarev, T. Seleznev, R. Lampe\",\"doi\":\"10.1109/DD55230.2022.9960959\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The analysis of an optimization algorithm for solving an inverse problem for the cerebral oxygen transport model is carried out. A theorem on the solvability of the optimal control problem is presented, an optimality system is constructed, and the convergence of approximate solutions to the solution of the inverse problem is proved. The results of numerical simulation are presented.\",\"PeriodicalId\":125852,\"journal\":{\"name\":\"2022 Days on Diffraction (DD)\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD55230.2022.9960959\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD55230.2022.9960959","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cerebral oxygen transport model with unknown surface sources
The analysis of an optimization algorithm for solving an inverse problem for the cerebral oxygen transport model is carried out. A theorem on the solvability of the optimal control problem is presented, an optimality system is constructed, and the convergence of approximate solutions to the solution of the inverse problem is proved. The results of numerical simulation are presented.