An analytical model of restricted diffusion in bovine optic nerve
Abstract
An analytical model of restricted diffusion in bovine optic nerve is presented. The nerve tissue model is composed of two different objects: prolate ellipsoids (axons) and spheres (glial cells) surrounded by partially permeable membranes. The free diffusion coefficients of intracellular and extracellular water may differ. Analytical formulas for signal loss due to diffusion in the pulsed gradient spin echo (PGSE) experiment for this tissue model are derived. The model is fitted to experimental data for bovine optic nerve. The obtained model parameters are shown to be reasonable. The model describes all of the characteristics of the PGSE data: anisotropy, upward curvature of decay curves, and diffusion time dependence. The validity and sensitivity of the model are also discussed.
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Early approaches attempted to model curvature in diffusion signal decay arising from co-existence of multiple compartments, sometimes without assigning each component to a specific microstructural entity.
“Early approaches attempted to model curvature in diffusion signal decay arising from co-existence of multiple compartments (Stanisz et al., 1997), sometimes without assigning each component to a specific microstructural entity (Le Bihan, 1995, 2007; Niendorf et al., 1996).”
From 40 Years of diffusion MRI in the brain: From history to emerging frontiers (2026) · cites this paper as Stanisz et al., 1997
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“Early approaches attempted to model curvature in diffusion signal decay arising from co-existence of multiple compartments ( Stanisz et al., 1997), sometimes without assigning each component to a specific micro-structural entity ( Le Bihan, 1995, 2007; Niendorf et al., 1996).”
- Authors
- Stanisz, G. J., Wright, G. A., Henkelman, R. M., & Szafer, A.
- Affiliations
- Sunnybrook Health Science Centre (CA)
- Yale University (US)
- Corresponding author
- Stanisz, Greg J.
- Venue
- Magnetic Resonance in Medicine
- Publisher
- Wiley
- Published
- 1997-01
- Volume
- 37
- Issue
- 1
- Pages
- 103-111
- ISSN
- 0740-3194 (ISSN-L)
- 1522-2594
- OpenAlex
- W2082182286
- Cited by
- 501
- References
- 1
- Citations by year
- 2026: 12 · 2025: 18 · 2024: 19 · 2023: 12 · 2022: 18 · 2021: 27 · 2020: 35 · 2019: 26 · 2018: 28 · 2017: 24 · 2016: 28 · 2015: 23 · 2014: 23 · 2013: 24 · 2012: 7
- FWCI
- 12.02
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Magnetic Resonance in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › NMR spectroscopy and applications
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced MRI Techniques and Applications
- Keywords
- restricted diffusion, optic nerve, analytical diffusion model, prolate spheroid, axons, glial cells, intracellular and extracellular water, pulsed gradient spin echo, diffusion anisotropy, diffusion time dependence
- MeSH terms
- Animals, Cattle, Computer Simulation, Magnetic Resonance Imaging, Magnetic Resonance Spectroscopy, Optic Nerve
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