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The response of biocompatible magnetic nanoparticles to time-varying magnetic fields forms the basis of exciting biomedical applications, such as nanoscale magnetic thermal therapy (magnetic hyperthermia), magnetic particle imaging, relaxometric sensing, and magnetically-triggered drug release. In all these applications, understanding the coupling between magnetic, hydrodynamic, thermal, and magnetocrystalline torques on the magnetic nanoparticle dipoles is vital to predict the performance of magnetic nanoparticles. Our group has made fundamental contributions to understanding these phenomena through a combination of theoretical, simulation, and experimental approaches. Modeling of rotational Brownian relaxation and internal dipole rotation in the nanoparticles has led to understanding of the effect of non-linear magnetization on heat dissipation rates and understanding of the role of relaxation time and relaxation mechanism on magnetic particle imaging signal strength and resolution. This understanding is enabling realization of the theranostic potential of magnetic nanoparticles in magnetic particle imaging and hyperthermia applications.

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