生物热物性全参数辨识方法（TITP）的稳定求解措施──正则化途径  

A Stable Solution to the Technique for Identifying the Total Parameters (TITP) of Biological Materials──Regularization Approach

作　　者：刘静[1] 张学学[1] 王存诚[1] 李晋 

机构地区：[1]北京清华大学热能工程系

出　　处：《北京生物医学工程》1996年第4期209-214,共6页Beijing Biomedical Engineering

基　　金：国家自然科学青年基金

摘　　要：针对生物体内空间非均匀热物性的全参数辨识方法（ＴＩＴＰ法），明确地指出了求解该类反问题的数值方法上的特殊性；将Ｔｉｋｈｏｎｏｖ正则化方法引入该问题的求解，给出了该方法在实际处理过程中的具体步骤，初步考察了其算法特性，从而使ＴＩＴＰ物性测试方法的理论基础进一步得到完善。Concerning the technique for identifying the total nonhomogeneous thermal parameters of biological materials in vivo (TITP method), the special features of numerical method of this kind of inverse problems are shown here clearly,and Tikhonov's regularization method is adopted to deal with the problem to obtain a solution. The numerical algorithm in practical procedures is given and its performance is studied preliminarily. The technique improves theoretical basis of TITP.

关 键 词：生物传热 热参数 TITP法 正则化法 

分 类 号：R318.08[医药卫生—生物医学工程]