微波诱导生物热传导方程的最优控制问题

P·德哈; R·德哈

doi:10.3879/j.issn.1000-0887.2010.04.012

微波诱导生物热传导方程的最优控制问题

doi: 10.3879/j.issn.1000-0887.2010.04.012

P·德哈¹,
R·德哈²

传统学院数学系,加尔各答 700107,印度;

详细信息

中图分类号: O232
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出版历程
- 收稿日期: 2009-11-17
- 修回日期: 2009-12-16
- 刊出日期: 2010-04-15

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

Piyanka Dhar¹,
Ranjit Dhar²

Department of Mathematics, Heritage Academy, Chowbagha Road, Kolkata 700 107, India;
Registrar, Vidyasagar University, Midnapur, West Bengal, India

摘要

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．
- 生物传热方程 /
- 过高热 /
- 最优化 /
- 微波 /
- 肿瘤
Abstract: 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 with in 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 tmies of operation of the process was considered for investigation to atta in the desired temperature of the tumor.
- bio-heat equation /
- hyperthermia /
- optimization /
- microwave /
- tumor

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参考文献(14)

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