6 papers
SNR-enhanced diffusion MRI with structure-preserving low-rank denoising in reproducing kernel Hilbert spaces
Gabriel Ramos-Llordén, Gonzalo Vegas-Sánchez-Ferrero, Congyu Liao +3
Purpose: To introduce, develop, and evaluate a novel denoising technique for diffusion MRI that leverages non-linear redundancy in the data to boost the SNR while preserving signal…
Dynamics of position-phase probability density in magnetic resonance
Cem Yolcu, Magnus Herberthson, Carl-Fredrik Westin +1
We consider the behaviour of precessional angle (phase) carried by molecules of a diffusing specimen under magnetic fields typical of magnetic resonance experiments. An evolution e…
Maxwell-compensated design of asymmetric gradient waveforms for tensor-valued diffusion encoding
Filip Szczepankiewicz, Carl-Fredrik Westin, Markus Nilsson
Purpose: Asymmetric gradient waveforms are attractive for diffusion encoding due to their superior efficiency, however, the asymmetry may cause a residual gradient moment at the en…
Tensor-valued diffusion MRI in under 3 minutes: An initial survey of microscopic anisotropy and tissue heterogeneity in intracranial tumors
Markus Nilsson, Filip Szczepankiewicz, Jan Brabec +5
Purpose: To evaluate the feasibility of a 3-minute b-tensor encoding protocol for diffusion MRI-based assessment of the microscopic anisotropy and tissue heterogeneity in a wide ra…
Orientationally-averaged diffusion-attenuated magnetic resonance signal for locally-anisotropic diffusion
Magnus Herberthson, Cem Yolcu, Hans Knutsson +2
Diffusion-attenuated MR signal for heterogeneous media has been represented as a sum of signals from anisotropic Gaussian sub-domains. Any effect of macroscopic (global or ensemble…
NMR signal for particles diffusing under potentials: From path integrals and numerical methods to a new model of diffusion anisotropy
Cem Yolcu, Muhammet Memiç, Kadir Şimşek +2
We study the influence of diffusion on NMR experiments when the molecules undergo random motion under the influence of a force field, and place special emphasis on parabolic (Hooke…