{"title":"高强度聚焦超声中组织温度分布的近似解析解","authors":"Dehui Li, G. Shen, Jingfeng Bai, Yazhu Chen","doi":"10.1109/BMEI.2009.5304866","DOIUrl":null,"url":null,"abstract":"An approximate analytical solution for tissue temperature distribution in high-intensity focused ultrasound (HIFU) is obtained in this work. Based on variable separation method (VSM), the solution is performed to solve the simplified bioheat transfer equation (BHTE). Lack of enough boundary conditions; the parameters in this analytic solution are estimated using the temperature data calculated by finite element method (FEM) with nonlinear least square algorithm. The absolute root mean square error (RMSE) of temperature is 0.21℃ and 0.22℃ for two strategies, respectively. Feasibility and accuracy of the analytical solution are verified by comparison with FEM for transient temperature response in a longer time domain. The average deviation of temperature is about 0.35℃. So this analytic solution is suitable to calculate spatiotemporal temperature distribution in HIFU treatment, and it is quite useful to the treatment planning.","PeriodicalId":6389,"journal":{"name":"2009 2nd International Conference on Biomedical Engineering and Informatics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2009-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Approximate Analytical Solution for Tissue Temperature Distribution in High-Intensity Focused Ultrasound\",\"authors\":\"Dehui Li, G. Shen, Jingfeng Bai, Yazhu Chen\",\"doi\":\"10.1109/BMEI.2009.5304866\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An approximate analytical solution for tissue temperature distribution in high-intensity focused ultrasound (HIFU) is obtained in this work. Based on variable separation method (VSM), the solution is performed to solve the simplified bioheat transfer equation (BHTE). Lack of enough boundary conditions; the parameters in this analytic solution are estimated using the temperature data calculated by finite element method (FEM) with nonlinear least square algorithm. The absolute root mean square error (RMSE) of temperature is 0.21℃ and 0.22℃ for two strategies, respectively. Feasibility and accuracy of the analytical solution are verified by comparison with FEM for transient temperature response in a longer time domain. The average deviation of temperature is about 0.35℃. So this analytic solution is suitable to calculate spatiotemporal temperature distribution in HIFU treatment, and it is quite useful to the treatment planning.\",\"PeriodicalId\":6389,\"journal\":{\"name\":\"2009 2nd International Conference on Biomedical Engineering and Informatics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 2nd International Conference on Biomedical Engineering and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/BMEI.2009.5304866\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 2nd International Conference on Biomedical Engineering and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/BMEI.2009.5304866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximate Analytical Solution for Tissue Temperature Distribution in High-Intensity Focused Ultrasound
An approximate analytical solution for tissue temperature distribution in high-intensity focused ultrasound (HIFU) is obtained in this work. Based on variable separation method (VSM), the solution is performed to solve the simplified bioheat transfer equation (BHTE). Lack of enough boundary conditions; the parameters in this analytic solution are estimated using the temperature data calculated by finite element method (FEM) with nonlinear least square algorithm. The absolute root mean square error (RMSE) of temperature is 0.21℃ and 0.22℃ for two strategies, respectively. Feasibility and accuracy of the analytical solution are verified by comparison with FEM for transient temperature response in a longer time domain. The average deviation of temperature is about 0.35℃. So this analytic solution is suitable to calculate spatiotemporal temperature distribution in HIFU treatment, and it is quite useful to the treatment planning.
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