NMR diffusion-encoding with axial symmetry and variable anisotropy: Distinguishing between prolate and oblate microscopic diffusion tensors with unknown orientation distribution

The Journal of Chemical Physics
Stefanie ErikssonDaniel Topgaard

Abstract

We introduce a nuclear magnetic resonance method for quantifying the shape of axially symmetric microscopic diffusion tensors in terms of a new diffusion anisotropy metric, DΔ, which has unique values for oblate, spherical, and prolate tensor shapes. The pulse sequence includes a series of equal-amplitude magnetic field gradient pulse pairs, the directions of which are tailored to give an axially symmetric diffusion-encoding tensor b with variable anisotropy bΔ. Averaging of data acquired for a range of orientations of the symmetry axis of the tensor b renders the method insensitive to the orientation distribution function of the microscopic diffusion tensors. Proof-of-principle experiments are performed on water in polydomain lyotropic liquid crystals with geometries that give rise to microscopic diffusion tensors with oblate, spherical, and prolate shapes. The method could be useful for characterizing the geometry of fluid-filled compartments in porous solids, soft matter, and biological tissues.

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Citations

Mar 1, 2016·NeuroImage·Carl-Fredrik WestinMarkus Nilsson
Nov 20, 2015·Journal of Magnetic Resonance·Jens SjölundHans Knutsson
Sep 1, 2016·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Andrada IanuşIvana Drobnjak
Sep 23, 2016·Magnetic Resonance in Chemistry : MRC·Mikhail ZubkovWilliam S Price
Mar 8, 2016·Physical Chemistry Chemical Physics : PCCP·Daniel Topgaard
Jul 8, 2017·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Markus NilssonDaniel Topgaard
Nov 28, 2017·Physics in Medicine and Biology·Daniel L MarksAmy L Oldenburg
Oct 29, 2018·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Grant Yang, Jennifer A McNab
Jan 17, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Rafael Neto HenriquesNoam Shemesh
Feb 15, 2018·Scientific Reports·Jonathan Scharff NielsenHenrik Lundell
Feb 26, 2019·Human Brain Mapping·Björn LampinenMarkus Nilsson
May 31, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Filip SzczepankiewiczMarkus Nilsson
Sep 14, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Markus NilssonPia C Sundgren
Feb 23, 2020·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Maryam AfzaliDerek K Jones
Mar 7, 2020·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Björn LampinenMarkus Nilsson
Feb 8, 2019·NMR in Biomedicine·Daniel Topgaard
Sep 22, 2020·Brain Communications·Kasper Winther AndersenTim B Dyrby
Mar 12, 2016·Physical Review Letters·João P de Almeida Martins, Daniel Topgaard
Oct 7, 2020·Human Brain Mapping·João P de Almeida MartinsDaniel Topgaard
Dec 11, 2020·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Alexis ReymbautDaniel Topgaard
Nov 27, 2020·Journal of Neuroscience Methods·Filip SzczepankiewiczMarkus Nilsson

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