PMC

Correlation between the average kurtosis, the average diffusion coefficient, and the area of cerebral infarction on T2-weighted imaging. A: Correlation between the average kurtosis and the area of cerebral infarction; B: Correlation between the average diffusion coefficient and the area of cerebral infarction. MD: Average diffusion coefficient; MK: Average kurtosis; T2WI: T2-weighted imaging.

Study‐specific MRI data: A, Scatter plots show the relationship between the ordinary and regularized NLS estimates of mean kurtosis (), radial kurtosis (), and axial kurtosis () for all non‐problematic voxels in the study‐specific MRI data. Note that a “problematic voxel” has at least one negative when fitted with the ordinary NLS. B, The 3D kurtosis geometry, ie, apparent kurtosis coefficient evaluated along different directions, as estimated with the ordinary and regularized NLS for a non‐problematic and problematic voxel. These 3D kurtosis geometry were extracted from a voxels near the mid‐sagittal plane of the genus of the corpus callosum (direction marked by the black line corresponds to the principal direction of the diffusion tensor and are truncated

Time dependence of the diffusion coefficient and diffusional kurtosis for the Kärger model. The diffusion coefficient is independent of the diffusion time, but the kurtosis decreases on a time scale set by the water exchange time τ.

DWI and DKI metrics maps from a 46-year-old healthy female volunteer.
MD, D_a, and D_r maps were almost the same as the ADC map. DWI: Diffusion-weighted imaging; ADC: apparent diffusion coefficient; FA: fractional anisotropy; MD: mean diffusivity; D_a: axial diffusivity; D_r: radial diffusivity; MK: mean kurtosis; K_a: axial kurtosis; K_r: radial kurtosis; DKI: diffusion kurtosis imaging.