微波诱导生物热传导方程的最优控制问题  

Optimal Control Problem for Bio-Heat Equation Due to Induced Microwave

作　　者：P·德哈 R·德哈 黄锋(译) 张禄坤(校) 

机构地区：[1]传统学院数学系,印度加尔各答700107 [2]维德雅瑟格大学,印度西孟加拉邦密达纳普尔 [3]不详

出　　处：《应用数学和力学》2010年第4期499-504,共6页Applied Mathematics and Mechanics

摘　　要：用一组方程式描述均匀平板状生物组织的热传导,分析其分布式的最优控制问题,研究该生物组织在肿瘤局部特殊点上达到所必需的温度,通过控制微波,使微波辐射的诱导作用,在手术进程的总时间内,该肿瘤点达到过高热.研究在手术过程不同时间点上生物组织温度与其长度间的依赖关系,使肿瘤达到期望的温度值.A distributed optimal control problem for a system described by bio-heat equation for a homogeneous plane slab of tissue was analytically investigated so that a required temperature of the tissue at a particular point of location of tumor in hyperthermia could be attained within a total time of operation of the process due to induced microwave radiation which was taken as control. Here the temperature of the tissue against the length of the tissue at different times of operation of the process was considered for investigation to attain the desired temperature of the tumor.

关 键 词：生物传热方程 过高热 最优化 微波 肿瘤 

分 类 号：O232[理学—运筹学与控制论]