Optimal control for bio-heat equation due to induced microwave  

作　　者：Piyanka DHAR Ranajit DHAR 

机构地区：[1]Department of Mathematics,Heritage Academy [2]Office of the Registra,Vidyasagar University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第4期529-534,共6页应用数学和力学（英文版）

摘　　要：A distributed optimal control problem for a system described by a bio-heat equation for a homogeneous plane slab of tissue is analytically investigated. The required tissue temperature at a particular location of the tumour in hyperthermia can be attained within the total operation time of the process due to induced microwave radiation which is taken as control. The tissue temperature against the tissue length at different operation time of the process is considered to attain the desired temperature of the tumor.A distributed optimal control problem for a system described by a bio-heat equation for a homogeneous plane slab of tissue is analytically investigated. The required tissue temperature at a particular location of the tumour in hyperthermia can be attained within the total operation time of the process due to induced microwave radiation which is taken as control. The tissue temperature against the tissue length at different operation time of the process is considered to attain the desired temperature of the tumor.

关 键 词：bio-heat equation HYPERTHERMIA optimization MICROWAVE TUMOR 

分 类 号：O232[理学—运筹学与控制论] TQ138.11[理学—数学]