Optimal Control Problem in Hyperthermia by Heating Probe

Abstract

A mathematical investigation is performed in hyperthermia by inserting a conducting heating probe at the location of the tumour [1] so as to attain a desired rise of temperature in the deep tumour site of the tissue consisting of skin, fat, muscle, point tumour and muscle during total time of the operation of the process, by controlling the power of conducting heating probe and also by controlling optimally surface cooling temperature by using finite difference Numerical calculation of temperature distributions of the tissue against the length of the tissue at different times on various value of total time of operation have been carried out which displayed the rise of temperature of the tumour. Here the switching time during which the heating power is operative has been obtained