ArticleMagnetic resonance in medicine2015
A model for extra-axonal diffusion spectra with frequency-dependent restriction.
Article in Magnetic resonance in medicine, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Validating the standard model of diffusion MRI in white matter with numerical substrates.Imaging neuroscience (Cambridge, Mass.) · 2026Article
- Diffusion time dependency of extracellular diffusion.Magnetic resonance in medicine · 2023Article
- A simple estimate of axon size with diffusion MRI.NeuroImage · 2021Article
- Towards microstructure fingerprinting: Estimation of tissue properties from a dictionary of Monte Carlo diffusion MRI simulations.NeuroImage · 2019Article
- Comparison of diffusion-weighted MRI and anti-Stokes Raman scattering (CARS) measurements of the inter-compartmental exchange-time of water in expression-controlled aquaporin-4 cells.Scientific reports · 2018Article
- Physical and numerical phantoms for the validation of brain microstructural MRI: A cookbook.NeuroImage · 2018Review
- Toward faster inference of micron-scale axon diameters using Monte Carlo simulations.Magma (New York, N.Y.) · 2018Article
- Choice of reference measurements affects quantification of long diffusion time behaviour using stimulated echoes.Magnetic resonance in medicine · 2018Article
- [Computational neuroanatomy and microstructure imaging using magnetic resonance imaging].Der Nervenarzt · 2017Review
- Double oscillating diffusion encoding and sensitivity to microscopic anisotropy.Magnetic resonance in medicine · 2017Article
- Impact of transcytolemmal water exchange on estimates of tissue microstructural properties derived from diffusion MRI.Magnetic resonance in medicine · 2017Article
- Assessing the accuracy of using oscillating gradient spin echo sequences with AxCaliber to infer micron-sized axon diameters.Magma (New York, N.Y.) · 2017Article
- Simulations on the influence of myelin water in diffusion-weighted imaging.Physics in medicine and biology · 2016Article
- PGSE, OGSE, and sensitivity to axon diameter in diffusion MRI: Insight from a simulation study.Magnetic resonance in medicine · 2016Article
- Mapping mean axon diameter and axonal volume fraction by MRI using temporal diffusion spectroscopy.NeuroImage · 2014Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
purposeIn the brain, there is growing interest in using the temporal diffusion spectrum to characterize axonal geometry in white matter because of the potential to be more sensitive to small pores compared to conventional time-dependent diffusion. However, analytical expressions for the diffusion spectrum of particles have only been derived for simple, restricting geometries such as cylinders, which are often used as a model for intra-axonal diffusion. The extra-axonal space is more complex, but the diffusion spectrum has largely not been modeled. We propose a model for the extra-axonal space, which can be used for interpretation of experimental data. THEORY AND
methodsAn empirical model describing the extra-axonal space diffusion spectrum was compared with simulated spectra. Spectra were simulated using Monte Carlo methods for idealized, regularly and randomly packed axons over a wide range of packing densities and spatial scales. The model parameters are related to the microstructural properties of tortuosity, axonal radius, and separation for regularly packed axons and pore size for randomly packed axons.
resultsForward model predictions closely matched simulations. The model fitted the simulated spectra well and accurately estimated microstructural properties.
conclusionsThis simple model provides expressions that relate the diffusion spectrum to biologically relevant microstructural properties.
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