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

Piyanka Dhar; Ranjit Dhar

doi:10.3879/j.issn.1000-0887.2010.04.012

Volume 31 Issue 4

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Piyanka Dhar, Ranjit Dhar. Optimal Control Problem for Bio-Heat Equation Due to Induced Microwave[J]. Applied Mathematics and Mechanics, 2010, 31(4): 499-504. doi: 10.3879/j.issn.1000-0887.2010.04.012

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

doi: 10.3879/j.issn.1000-0887.2010.04.012

Piyanka Dhar¹,
Ranjit Dhar²

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

Received Date: 2009-11-17
Rev Recd Date: 2009-12-16
Publish Date: 2010-04-15

Abstract

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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References(14)

References

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