ArticleNMR in biomedicine2020
Time-dependent diffusion in undulating thin fibers: Impact on axon diameter estimation.
Article in NMR in biomedicine, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 28 papers.
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Who cites it
28 citing papers in PubMed.
- Axon Diameter Mapping From Myelin Water Diffusion MRI.IEEE transactions on medical imaging · 2026Article
- Axon Diameter Mapping in the Living Human Brain with Ultra-High-Gradient Diffusion MRI at 500 mT/m Gradient Strength.Human brain mapping · 2026Article
- Decoding gray matter, large-scale analysis of brain cell morphometry to inform microstructural modeling of diffusion MR signals.Communications biology · 2026Article
- Validating the standard model of diffusion MRI in white matter with numerical substrates.Imaging neuroscience (Cambridge, Mass.) · 2026Article
- Scattering approach to diffusion quantifies axonal damage in brain injury.Nature communications · 2025Article
- Article
- White Matter Geometry Confounds Diffusion Tensor Imaging Along Perivascular Space (DTI-ALPS) Measures.Human brain mapping · 2025Article
- Interplay between MRI-based axon diameter and myelination estimates in macaque and human brain.Imaging neuroscience (Cambridge, Mass.) · 2025Article
- The effects of axonal beading and undulation on axonal diameter estimation from diffusion MRI: Insights from simulations in human axons segmented from three-dimensional electron microscopy.NMR in biomedicine · 2024Article
- Fast multi-compartment Microstructure Fingerprinting in brain white matter.Frontiers in neuroscience · 2024Article
- Exploring white matter dynamics and morphology through interactive numerical phantoms: the White Matter Generator.Frontiers in neuroinformatics · 2024Article
- Diffusion MRI with pulsed and free gradient waveforms: Effects of restricted diffusion and exchange.NMR in biomedicine · 2023Article
- Review
- Mapping the human connectome using diffusion MRI at 300 mT/m gradient strength: Methodological advances and scientific impact.NeuroImage · 2022Review
- Mapping complex cell morphology in the grey matter with double diffusion encoding MR: A simulation study.NeuroImage · 2021Article
- The variability of MR axon radii estimates in the human white matter.Human brain mapping · 2021Article
- The present and the future of microstructure MRI: From a paradigm shift to normal science.Journal of neuroscience methods · 2021Review
- Realistic Microstructure Simulator (RMS): Monte Carlo simulations of diffusion in three-dimensional cell segmentations of microscopy images.Journal of neuroscience methods · 2021Article
- Bundle-Specific Axon Diameter Index as a New Contrast to Differentiate White Matter Tracts.Frontiers in neuroscience · 2021Article
- The sensitivity of diffusion MRI to microstructural properties and experimental factors.Journal of neuroscience methods · 2021Review
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3 authors.
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Abstract
Diffusion MRI may enable non-invasive mapping of axonal microstructure. Most approaches infer axon diameters from effects of time-dependent diffusion on the diffusion-weighted MR signal by modeling axons as straight cylinders. Axons do not, however, propagate in straight trajectories, and so far the impact of the axonal trajectory on diameter estimation has been insufficiently investigated. Here, we employ a toy model of axons, which we refer to as the undulating thin fiber model, to analyze the impact of undulating trajectories on the time dependence of diffusion. We study time-dependent diffusion in the frequency domain and characterize the diffusion spectrum by its height, width, and low-frequency behavior (power law exponent). Results show that microscopic orientation dispersion of the thin fibers is the main parameter that determines the characteristics of the diffusion spectra. At lower frequencies (longer diffusion times), straight cylinders and undulating thin fibers can have virtually identical spectra. If the straight-cylinder assumption is used to interpret data from undulating thin axons, the diameter is overestimated by an amount proportional to the undulation amplitude and microscopic orientation dispersion of the fibers. At higher frequencies (shorter diffusion times), spectra from cylinders and undulating thin fibers differ. The low-frequency behavior of the spectra from the undulating thin fibers may also differ from that of cylinders, because the power law exponent of undulating fibers can reach values below 2 for experimentally relevant frequency ranges. In conclusion, we argue that the non-straight nature of axonal trajectories should not be overlooked when analyzing and interpreting diffusion MRI data.
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