Theoretical modelling of temperature changes during induction heating of magnetite suspensions

Although now it is customary to use magnetic hyperthermia in the treatment of oncological diseases as an auxiliary method, detailed modeling of the tissue heating process with parameters close to real ones will allow this method to be included in the main ones. Modelling of liquid heating with evenly distributed identical energy sources was presented. It allows choosing the optimal modes of using hyperthermia in real conditions. The model is based on experimental data and explains the dependence of the temperature of magnetite particles’ aqueous suspension versus the time. Newton's law equations were used for modelling of dependence of body temperature versus time at a constant temperature Tenv. It was hypothesized that the overheating problem could be avoided by using controlled concentrations of magnetite. The obtained results show that about 40 mg/cm3 of magnetite is required to avoid overheating.