Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (4): 529-534.doi: https://doi.org/10.1007/s10483-010-0413-x

• Articles • 上一篇    

Optimal control for bio-heat equation due to induced microwave

Piyanka Dhar Ranajit Dhar   

  1. 1. Department of Mathematics, Heritage Academy, Chowbagha Road, Kolkata 700107, India;
    2. Office of the Registrar, Vidyasagar University, Midnapore 721102, West Bengal, India
  • 收稿日期:2010-11-17 修回日期:2010-12-16 出版日期:2010-04-20 发布日期:2010-04-01

Optimal control for bio-heat equation due to induced microwave

Piyanka Dhar Ranajit Dhar   

  1. 1. Department of Mathematics, Heritage Academy, Chowbagha Road, Kolkata 700107, India;
    2. Office of the Registrar, Vidyasagar University, Midnapore 721102, West Bengal, India
  • Received:2010-11-17 Revised:2010-12-16 Online:2010-04-20 Published:2010-04-01

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.

Abstract: 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.

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