摘要
为通过相对简单的热传递模型建立表面温度分布与内部热源之间的关系,从生物传热理论出发,研究了内热源影响下的组织表面温度分布,实现了在表面温度分布已知的情况下得到内部热源的相关信息。基于傅里叶定律和能量守恒定律建立了具有内热源的组织导热微分方程,通过求解微分方程推导出组织表面温度分布与内部异常热源之间的组织传热模型,采用有限元分析方法对该模型进行模拟计算和数值分析。考虑了两种不同情况下的组织内部异常热源信息的获取,所得结果(1.64 cm、1.56 cm、1.55 cm和0.78 cm、1.64 cm、2.55 cm)与根据热断层成像技术估测所得的热源深度(1.6 cm和0.8 cm、1.6 cm、2.5 cm)十分接近,验证了模型的可行性与准确性。
The surface temperature distribution affected by the inner heat source is researched from the bio-heat transfer theory. The relationship between the surface temperature distribution and the inner heat source is established by the relatively simple heat transfer model. The information of inner heat source by the surface temperature distribution is acquired. Based on the Fourier law and the law of energy conservation, the heat conduction differential equation of the isotropy tissue with inner heat source is established. By the solution of the equation, the expression of the relationship between the surface temperature distribution and the abnormal inner heat source is deduced. The model is simulatedly computed and numerically analysed by the finite element analysis. Two different cases of the information acquisition of abnormal heat source in tissues are considered. The results (1.64 cm, 1.56 cm, 1.55 cm and 0.78 cm, 1.64 cm, 2.55 cm) are quite closer to the depth of heat source ( 1.6 cm and 0.8 cm, 1.6 cm, 2.5 cm) estimated by the thermal texture mapping (TTM). The feasibility and accuracy of the model are validated.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2009年第3期379-382,387,共5页
Journal of Nanjing University of Science and Technology
关键词
生物传热
生物组织
表面温度分布
有限元分析
热源深度
信息获取
bio-heat transfer
biological tissues
surface temperature distribution
finite element analysis
heat source depth
information acquisition