2015/02/01 by Daniel Schmidt, Florian Palmetshofer, David Heinke +2
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · #Characterization and Applications of Magnetic Nanoparticles #Computational physics #Computer science #Condensed matter physics #Field (mathematics) #Geomagnetism and Paleomagnetism Studies #Harmonics #Magnetic field #Magnetization #Mathematics #Microfluidic and Bio-sensing Technologies #Nuclear magnetic resonance #Particle (ecology) #Phenomenological model #Physics #Quantum mechanics #Relaxation (psychology) #SIGNAL (programming language) #Spectral line #Spherical harmonics #Statistical physics
paper · doi:10.1109/tmag.2014.2345192
openalex publication_date 2015/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
In this paper, we present a new approach to describe the magnetic particle spectroscopy (MPS) signal, which is based on Shliomis' effective field method. Contrary to other approaches, we do not model single particle dynamics via the Landau-Lifshitz-Gilbert equation, but use measurable quantities to minimize the influence of unknown model parameters. The necessary material values are gained from static magnetization and magnetorelaxometry measurements. The model contains two free parameters to describe the field-dependent relaxation time. To obtain these parameters, we currently still need measured MPS data to find the relaxation parameters that match the experimental results, but we are looking into methods to avoid this matching. We present the equations to calculate the harmonic spectrum of an magnetic particle imaging tracer. We also present first results of this method obtained on FeraSpin R and other tracer formulations and compare the calculated spectrum to the measured harmonics. For all formulations, we found a coefficient of determination R2>0.99 between our model and the measured spectra.