Simulation of tissue heating by magnetic fluid hyperthermia

Objective: Magnetic fluid hyperthermia is a technique in which thermal energy is generated by magnetic nanoparticles (MNPs) that are excited by an alternating magnetic field (AC field). During hyperthermia, in-vivo monitoring of elevation of temperature relies on invasive insertion of conventional thermometers, or employment of thermo-sensitive cameras that lack high precision. The objective of this manuscript is to provide a mathematical approach to better estimate elevation of temperature and its profile after hyperthermia of MNPs inside an AC field. Methods: To this end, we first show that temperature profile due to hyperthermia of iron oxide MNPs at 10, 25, and 50 mg/ml are concentration dependent. Then by using best-fit polynomial equations, we show that the temperature profile for any given concentration of the same iron oxide MNPs can be traced to close approximation. Thermodynamic heat transfer equations were then used to graph the distribution of temperature in a tissue with a known heat capacity and conductivity parameters. Results: The resulting MatLab software simulation provides the thermal profile of a hypothetical tumor placed adjacent to a muscle tissue. Conclusions: In conclusion, the proposed mathematical approach can closely estimate the temperature profile of magnetic fluid hyperthermia.