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Temperature Field Optimization and Magnetic Nanoparticles Optimal Approximation of MFH for Cancer Therapy

The magnetic nanoparticles (MNPs) in ac alternating magnetic fields will produce a sufficient amount of heats owing to the Néel and Brown relaxations. Magnetic fluid hyperthermia (MFH), based on this mechanism, is a new promising approach for tumor treatments. The temperature field distribution in the cancer and its neighbor regions have a significant effect on the therapeutic effect of MFH. As a result, it is generally required to maintain the temperature in the cancer in the range of 42 °C-90 °C while guaranteeing a sharp temperature gradient in the neighbor regions of the cancer and healthy tissues. This paper provides an automated shape and MNP volume fraction solid design optimization methodology with finite element analysis, coupled field analysis, and an enhanced multiobjective quantum particle swarm optimization, to realize the aforementioned two ultimate goals. Moreover, an optimal radial basis function approximation technique is proposed to approximate the distribution of the optimized nanoparticles volume fraction solids to give a smooth and implementable nanoparticles distribution.