皮肤表面温度场分布的数值仿真  

A RBF-HT FEM Method for Heat Conduction Problem in Living Tissue

作　　者：赵宁[1] 曹蕾蕾[1] 郭辉[1] 贾清健[1] 

机构地区：[1]西北工业大学机电学院,陕西西安710072

出　　处：《计算机仿真》2011年第11期148-152,共5页Computer Simulation

摘　　要：研究皮肤表面温度分布,有效识别病变区,针对生物组织的热传导问题,为了准确判断生物组织健康状态,提出了一种新的求解生物组织热传导方程的数值方法。通过时间步进法对佩恩生物热传导方程进行时间离散。采用径向基函数的线性组合对非齐次解进行近似,用Trefftz有限元法求解方程的齐次解。可分别以健康皮肤和肿瘤病变皮肤为例,利用Matlab编制程序,对温度分布进行数值仿真,结果表明血流注入率越大,生物组织的温度越低。肿瘤病变会影响生物组织的温度分布。试验证明,肿瘤处的温度较周围组织的温度高。所得结果验证了方法的正确性和有效性,为非入侵式医疗诊断提供了依据。A new numerical method to solve the heat conduction problem for the living tissue was developed in this paper.First,the time variable in Pennes bioheat equation was moved by time-marching method.Then,the particular solution of the equation was approximated by a linear combination of radial basis functions（RBF）,and the homogeneous solution was determined by the Trefftz finite element method.Finally,the numerical examples conducted by Matlab show that a larger blood perfusion rate results in a quick drop in the tissue temperature and the temperature distribution in the tumor tissue is higher than that in the healthy skin.The results demonstrate the correctness and efficiency of the proposed method.

关 键 词：径向基函数 杂交有限元法 生物热传导方程 温度场分布 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]