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. Author manuscript; available in PMC: 2018 Mar 12.
Published in final edited form as: J Neurosci Res. 2017 Jun 13;96(4):612–625. doi: 10.1002/jnr.24065

Table 2.

Comparative overview of diffusion MRI models. For physical and biophysical dMRI models (column 1, light and dark grey shading respectively) a summary of the modeling approach (column 2) and acquisition strategy (columns 3 and 4) are given as well as the primary scalar metrics (column 5).

Modeling approach Acquisition Metrics Seminal References
DWI sampling DWI weighting
ADC S = S0ebD Few DWIs; 1 b=0 and 1 DWI low ADC 81
DTI S = S0eb:D Few DWIs; 1 shell, minimum 6 directions, low combinations of I1, I2, I3. E.G. FA, TR, WL, WP, etc. 76
DKI
S=S0e-bD+16b2D2K
Moderate # of DWIs; 2 shells low and moderate only DTI metrics and mean kurtosis, axial and radial kurtosis and KFA 77, 78, 86
MAP Asymmetric Simple Harmonic Oscillator Reconstruction and Estimation Moderate to many DWIs: Multi shell acquisition low, moderate and high DTI metrics and non-Gaussianity, zero-displacement probabilities, propagator anisotropy, ODFs 90, 91
DSI Model-free Many DWIs; cartesiangrid low, moderate and high ODFs possible to generate zero displacement probabilities 84
Q-ball Model-free Moderate # of DWIs: Single shell HARDI acquisition high ODFs possible to generate zero displacement probabilities 85
CHARMED Intra/extra-axonal compartments modeled by restricted/hindered sheets and cylinders Multi shell acquisition low, moderate and high restricted and hindered component fractions; cone of uncertainty 96
Axcaliber similar to CHARMED, but with additional modeling of axon diameter Multi shell acquisition low, moderate and high CHARMED metrics and axon diameter 97
NODDI Watson Distributed cylinders and sticks Moderate # of DWIs: Multi shell acquisition low, moderate and high (flexible) Cellular fractions, orientation dispersion index 103, 104
WMTI intra/extra-axonal compartments modeled with the Gaussian part of the DKI model Moderate # of DWIs; 2 shells (same as DKI) low and moderate only axonal water fraction, intra-axonal diffusivity, extra-axonal radial/axial diffusivity, extra-axonal tortuosity 102
CSD Tractography Constrained Spherical Deconvolution Single shell HARDI acquisition high ODFs and tractograms 94, 95