生物体非均匀热物性测试方法及无损获取生物体皮下温度的近似变分解  

TECHNIQUE FOR MEASURING THE NONHOMOGENEOUS THERMAL PROPERTIES OF LIVING TISSUES AND VARIATIONAL SOLUTION FOR NONINVASIVELY MEASURING SUBCUTANEOUS TEMPERATURE

作　　者：刘静[1] 任泽霈[1] 王存诚[1] 

机构地区：[1]北京清华大学热能工程系

出　　处：《中国生物医学工程学报》1997年第2期174-180,192,共8页Chinese Journal of Biomedical Engineering

基　　金：国家自然科学基金

摘　　要：本文提出了一套可用于同时测定生物传热方程Ｐｅｎｎｅｓ方程中随空间变化的导热系数Ｋ、血液灌注率Ｗｂ和代谢热产率ｑｍ以及导温系数α的新方法，从而克服了传统生物热物性测试技术中诸如只能测量常物性的Ｋ、Ｗｂ和α以及ｑｍ难以利用Ｐｅｎｎｅｓ方程测出的不足；文中超定方程采用Ｈｏｕｓｅｈｏｌｄｅｒ变换法求解。为了实现对深核体温的无创测取，本文进一步将变分原理引入强非线性生物传热方程的求解，获取了该问题的近似变分解。这些内容可为研究生物传热学、热生理学以及实现肿瘤热疗中的温度监控打下一定的基础。A new technique was postulated to measure the space-dependent conductivety( K ), blood perfusion rate( W b), metabolic rate( q m), and thermal diffusivity ( α ) in Pennes' bioheat equation, thus overcomes the shortcoming of classical approaches , in which only the constant parameters( K,W b, α ) but q m could be obtained. The over-determined equations were solved by using Householder's transformation. In order to noninvasively measure the subcutaneous temperature, the variational principle was applied to solve the nonlinear bioheat equation and an approximate variational solution is obtained. The paper may serve as a basis for studies of bioheat transfer, thermal physioloigy and temperature monitoring in cancer hyperthermia.

关 键 词：生物传热 非均匀热物性 无损测温 近似变分解 

分 类 号：R318.04[医药卫生—生物医学工程]