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Published in: Magnetic Resonance Materials in Physics, Biology and Medicine 5/2018

01-10-2018 | Research Article

Inferring diameters of spheres and cylinders using interstitial water

Authors: Sheryl L. Herrera, Morgan E. Mercredi, Richard Buist, Melanie Martin

Published in: Magnetic Resonance Materials in Physics, Biology and Medicine | Issue 5/2018

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Abstract

Object

Most early methods to infer axon diameter distributions using magnetic resonance imaging (MRI) used single diffusion encoding sequences such as pulsed gradient spin echo (SE) and are thus sensitive to axons of diameters > 5 μm. We previously simulated oscillating gradient (OG) SE sequences for diffusion spectroscopy to study smaller axons including the majority constituting cortical connections. That study suggested the model of constant extra-axonal diffusion breaks down at OG accessible frequencies. In this study we present data from phantoms to test a time-varying interstitial apparent diffusion coefficient.

Materials and Methods

Diffusion spectra were measured in four samples from water packed around beads of diameters 3, 6 and 10 μm; and 151 μm diameter tubes. Surface-to-volume ratios, and diameters were inferred.

Results

The bead pore radii estimates were 0.60±0.08 μm, 0.54±0.06 μm and 1.0±0.1 μm corresponding to bead diameters ranging from 2.9±0.4 μm to 5.3±0.7 μm, 2.6±0.3 μm to 4.8±0.6 μm, and 4.9±0.7 μm to 9±1 μm. The tube surface-to-volume ratio estimate was 0.06±0.02 μm−1 corresponding to a tube diameter of 180±70 μm.

Conclusion

Interstitial models with OG inferred 3-10 μm bead diameters from 0.54±0.06 μm to 1.0±0.1 μm pore radii and 151 μm tube diameters from 0.06±0.02 μm−1 surface-to-volume ratios.
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Metadata
Title
Inferring diameters of spheres and cylinders using interstitial water
Authors
Sheryl L. Herrera
Morgan E. Mercredi
Richard Buist
Melanie Martin
Publication date
01-10-2018
Publisher
Springer International Publishing
Published in
Magnetic Resonance Materials in Physics, Biology and Medicine / Issue 5/2018
Print ISSN: 0968-5243
Electronic ISSN: 1352-8661
DOI
https://doi.org/10.1007/s10334-018-0685-9

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