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Updated: Jan 20, 2026
Frequency-dependent Selection and Phenotype Fitness
Larmor frequency dependence on structural anisotropy of magnetically heterogeneous media
Alexander Ruh1, Valerij G Kiselev2
1Medical Physics, Dept. of Radiology, Medical Center - University of Freiburg, Faculty of Medicine, University of Freiburg, Germany; Dept. of Radiology, Feinberg School of Medicine, Northwestern University, Chicago, IL, United States.
Abstract:
The effect of anisotropic magnetic microstructure on the measurable Larmor frequency offset is investigated in media with heterogeneous magnetic susceptibility using Monte Carlo simulations. The focus is on the transition between the regimes of fast and slow diffusion of NMR-reporting molecules. Simulations demonstrate a perfect agreement with the previously developed analytic theory for fast diffusion. Beyond this regime, the frequency offset shows a pronounced dependence on the medium microarchitecture and the diffusivity of NMR-reporting spins in relation to the magnitude of the susceptibility-induced magnetic field.
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