Numerical study on the multi-region bio-heat equation to model magnetic fluid hyperthermia (MFH) using low Curie temperature nanoparticles.

This study develops and solves two-dimensional convective-conductive coupled partial differential equations based on Pennes' bio-heat transfer model using low Curie temperature nanoparticles (LCTNPs) to illustrate thermal behavior quantitatively within tumor-normal composite tissue by establishing a multi-region finite difference algorithm. The model combines NEel relaxation and temperature-variant saturation magnetization derived from Brillouin Equation and Curie-Weiss Law. The numerical results indicate that different deposition patterns of LCTNP and boundary conditions directly effect the steady state temperature distribution.