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Resolving degeneracy in diffusion MRI biophysical model parameter estimation using double diffusion encoding
- Source :
- Magnetic Resonance in Medicine, Coelho, S, Pozo, J M, Jespersen, S N, Jones, D K & Frangi, A F 2019, ' Resolving degeneracy in diffusion MRI biophysical model parameter estimation using double diffusion encoding ', Magnetic Resonance in Medicine, vol. 82, pp. 395-410 . https://doi.org/10.1002/mrm.27714
- Publication Year :
- 2018
-
Abstract
- Purpose: Biophysical tissue models are increasingly used in the interpretation of diffusion MRI (dMRI) data, with the potential to provide specific biomarkers of brain microstructural changes. However, it has been shown recently that, in the general Standard Model, parameter estimation from dMRI data is ill‐conditioned even when very high b‐values are applied. We analyze this issue for the Neurite Orientation Dispersion and Density Imaging with Diffusivity Assessment (NODDIDA) model and demonstrate that its extension from single diffusion encoding (SDE) to double diffusion encoding (DDE) resolves the ill‐posedness for intermediate diffusion weightings, producing an increase in accuracy and precision of the parameter estimation. Methods: We analyze theoretically the cumulant expansion up to fourth order in b of SDE and DDE signals. Additionally, we perform in silico experiments to compare SDE and DDE capabilities under similar noise conditions. Results: We prove analytically that DDE provides invariant information non‐accessible from SDE, which makes the NODDIDA parameter estimation injective. The in silico experiments show that DDE reduces the bias and mean square error of the estimation along the whole feasible region of 5D model parameter space. Conclusions: DDE adds additional information for estimating the model parameters, unexplored by SDE. We show, as an example, that this is sufficient to solve the previously reported degeneracies in the NODDIDA model parameter estimation.
- Subjects :
- microstructure imaging
Mean squared error
Models, Neurological
single diffusion encoding
030218 nuclear medicine & medical imaging
diffusion MRI
03 medical and health sciences
0302 clinical medicine
biophysical tissue models
Image Processing, Computer-Assisted
Applied mathematics
Radiology, Nuclear Medicine and imaging
Computer Simulation
Diffusion (business)
Mathematics
Full Paper
Estimation theory
Noise (signal processing)
Feasible region
Invariant (physics)
3. Good health
double diffusion encoding
Diffusion Magnetic Resonance Imaging
Full Papers—Biophysics and Basic Biomedical Research
Degeneracy (mathematics)
parameter estimation
white matter
030217 neurology & neurosurgery
Algorithms
Diffusion MRI
Subjects
Details
- ISSN :
- 15222594 and 07403194
- Volume :
- 82
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Magnetic resonance in medicine
- Accession number :
- edsair.doi.dedup.....01dbc2d9f07c401eebaecf4effd872ab