{"title":"脉冲激光治疗的数学建模","authors":"O. Trofimova, A. Kovtanyuk, I. Prokhorov","doi":"10.1109/DD46733.2019.9016546","DOIUrl":null,"url":null,"abstract":"The paper considers a mathematical model of laser thermotherapy of biological tissue. The model is based on the radiation transfer equation and the heat equation. An algorithm for solving the problem, based on the use of a diffusion approximation with the release of the ballistic component of the radiation flux, was implemented. A numerical analysis of radiation and thermal processes occured under laser irradiation of biological tissue containing a tumor filled with a colloidal solution of gold nanoparticles was carried out. A significant contribution of the scattered radiation component to the temperature increase in the medium was recorded.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical modeling of pulsed laser therapy\",\"authors\":\"O. Trofimova, A. Kovtanyuk, I. Prokhorov\",\"doi\":\"10.1109/DD46733.2019.9016546\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper considers a mathematical model of laser thermotherapy of biological tissue. The model is based on the radiation transfer equation and the heat equation. An algorithm for solving the problem, based on the use of a diffusion approximation with the release of the ballistic component of the radiation flux, was implemented. A numerical analysis of radiation and thermal processes occured under laser irradiation of biological tissue containing a tumor filled with a colloidal solution of gold nanoparticles was carried out. A significant contribution of the scattered radiation component to the temperature increase in the medium was recorded.\",\"PeriodicalId\":319575,\"journal\":{\"name\":\"2019 Days on Diffraction (DD)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD46733.2019.9016546\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD46733.2019.9016546","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper considers a mathematical model of laser thermotherapy of biological tissue. The model is based on the radiation transfer equation and the heat equation. An algorithm for solving the problem, based on the use of a diffusion approximation with the release of the ballistic component of the radiation flux, was implemented. A numerical analysis of radiation and thermal processes occured under laser irradiation of biological tissue containing a tumor filled with a colloidal solution of gold nanoparticles was carried out. A significant contribution of the scattered radiation component to the temperature increase in the medium was recorded.
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