2023/07/07 by Hannes Albers, Albers, Hannes, Tobias Kluth +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #35Q70 #35R30 (Primary) #82D80 #Characterization and Applications of Magnetic Nanoparticles #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #NMR spectroscopy and applications #Numerical methods in inverse problems #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2307.03560
openalex publication_date 2023/07/07 · openalex created_date 2023/07/11 · openalex updated_date 2026/07/28
In this article, we consider a model motivated by large ensembles of nanoparticles' magnetization dynamics using the Fokker-Planck equation and analyze the underlying parabolic PDE being defined on a smooth, compact manifold without boundary with respect to time-dependent parameter identification using regularization schemes. In the context of magnetic particle imaging, possible fields of application can be found including calibration procedures improved by time-dependent particle parameters and dynamic tracking of nanoparticle orientation. This results in reconstructing different parameters of interest, such as the applied magnetic field and the particles' easy axis. These problems are in particular addressed in the accompanied numerical study.