An optimal control problem by controlling heat source of the surface of tissue

Year 2013, Volume: 3 Issue: 3, 8 - 18, 23.07.2016

1Rikhiya Dhar Ranajit Dhar Piyanka Dhar

Abstract

A distributed optimal control problem for a system described by bio-heat equation for a homogeneous plane tissue is analytically investigated such that a desired temperature of the tissue at a particular point of location of tumour in hyperthermia can be attained at the end of a total time of operation of the process due to induced microwave on the surface of the tissue which is taken as control. Here the temperature of the tissue along the length of the tissue at different times of operation of the process are numerically calculated which display the rise of the desired temperature of the tumour

Keywords

Bio-heat equation, hyperthermia, optimization, microwave, tumour, control

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