ArticleMagnetic resonance in medicine2017
New insights about time-varying diffusivity and its estimation from diffusion MRI.
Article in Magnetic resonance in medicine, 2017. 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.
- Clinical Soma and Neurite Density Imaging (SANDI): Translational Microstructure Mapping on Clinical 3T MRI Scanners.Magnetic resonance in medicine · 2026Article
- Revisiting classical diffusion magnetic resonance methods as a means to measure time-dependent diffusion.Magnetic resonance letters · 2025Article
- Measuring the velocity autocorrelation function using diffusion NMR.The Journal of chemical physics · 2025Article
- Investigating time-independent and time-dependent diffusion phenomena using steady-state diffusion MRI.Scientific reports · 2025Article
- Dynamical anomalous transport of molecules subject to inhomogeneous body forces.Zeitschrift fuer angewandte mathematik und physik · 2025Article
- The Diffusion Exchange Ratio (DEXR): A minimal sampling of diffusion exchange spectroscopy to probe exchange, restriction, and time-dependence.bioRxiv : the preprint server for biology · 2024Article
- Accelerating joint relaxation-diffusion MRI by integrating time division multiplexing and simultaneous multi-slice (TDM-SMS) strategies.Magnetic resonance in medicine · 2022Article
- Fundamentals of turbulent flow spectrum imaging.Magnetic resonance in medicine · 2022Article
- Disentangling the effects of restriction and exchange with diffusion exchange spectroscopy.Frontiers in physics · 2022Article
- A single-shot measurement of time-dependent diffusion over sub-millisecond timescales using static field gradient NMR.The Journal of chemical physics · 2021Article
- Probing tissue microstructure by diffusion skewness tensor imaging.Scientific reports · 2021Article
- The sensitivity of diffusion MRI to microstructural properties and experimental factors.Journal of neuroscience methods · 2021Review
- Maxwell-compensated design of asymmetric gradient waveforms for tensor-valued diffusion encoding.Magnetic resonance in medicine · 2019Article
- Tensor-valued diffusion encoding for diffusional variance decomposition (DIVIDE): Technical feasibility in clinical MRI systems.PloS one · 2019Article
- Cumulant expansions for measuring water exchange using diffusion MRI.The Journal of chemical physics · 2018Article
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4 authors.
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Abstract
purposeCharacterizing the relation between the applied gradient sequences and the measured diffusion MRI signal is important for estimating the time-dependent diffusivity, which provides important information about the microscopic tissue structure. THEORY AND
methodsIn this article, we extend the classical theory of Stepišnik for measuring time-dependent diffusivity under the Gaussian phase approximation. In particular, we derive three novel expressions which represent the diffusion MRI signal in terms of the mean-squared displacement, the instantaneous diffusivity, and the velocity autocorrelation function. We present the explicit signal expressions for the case of single diffusion encoding and oscillating gradient spin-echo sequences. Additionally, we also propose three different models to represent time-varying diffusivity and test them using Monte-Carlo simulations and in vivo human brain data.
resultsThe time-varying diffusivities are able to distinguish the synthetic structures in the Monte-Carlo simulations. There is also strong statistical evidence about time-varying diffusivity from the in vivo human data set.
conclusionThe proposed theory provides new insights into our understanding of the time-varying diffusivity using different gradient sequences. The proposed models for representing time-varying diffusivity can be utilized to study time-varying diffusivity using in vivo human brain diffusion MRI data. Magn Reson Med 78:763-774, 2017. © 2016 International Society for Magnetic Resonance in Medicine.
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