A Short Review of Analytical Studies in Hyperthermia

Abstract

In planning hyperthermia treatments, it is desirable to predict the temperature of the tumour and the normal tissue so as to attain a therapeutic beneficial (desired) temperature of the tumour while avoiding the damage of the normal tissue. The desired temperature is attained by controlling both the heating power induced by microwave, laser and ultrasound etc [33] and surface cooling temperature. To attain this goal, improved version of mathematical models which include the effects of flow of blood through the vessels inside the tissue have been considered [2,3,4,5]. Recent developments of dual-phase-lag models in the biological tissue have been obtained on the aspects of hyperthermia treatment planning [ 8,9,10,11]. In Magnetic Fluid Hyperthermia (MFH), some recent analytical investigations on optimization problems to determine the optimum heating pattern, induced by multiple magnetic particle injections in tumour models, have been studied [ 12,13,14,15]. Some optimal control problems on temperature distribution of the tumour embedded inside the biological tissue in hyperthermia are investigated in few important articles [ 22,23,26,27,28,29,30,31,32].