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Practical correction of gradient nonlinearity bias for mean diffusion kurtosis model parameters
Dariya Malyarenko1 and Thomas L Chenevert1
1University of Michigan, Ann Arbor, MI, United States
Gradient nonlinearity bias in diffusion weighting b-value does not affect mean kurtosis parameter for DKI model fit, while biased mean DKI diffusivity can be corrected using previously developed formalism for mono-exponential diffusion.
Figure 3: Effect of GNL-induced b-value bias (Cb) on brain DKI parametric maps (DK – top row, K – bottom row) is compared to bias-free Z0-reference (left) and corrected Z12-GNC (right). The color-bar shows common DK(μm2/ms) and K (unitless) scale. The biased (Z12) maps are outlined with the magenta box. Parameter histograms from central WM ROIs (defined for K>0.8 on three brain slices near the middle of the axial stack) are shown on the right. The color-codes for reference, biased and corrected (blue: Eq.[2], cyan: Eq.[3]) histograms are summarized in the legend.
Figure 1: Effect of GNL b-value bias (Cb=.7-.75, magenta) on DKI signal (log-DWI dependence on b) is compared to bias-free reference (Cb = 1, green) and bias correction (via b-value, GNCb: blue; and via DWI intensity, GNCS: cyan) for (left-to-right): analytical model, phantom (V2 ROI mean) and brain white matter (WM ROI mean). The asterisks mark DWI data and lines show the corresponding model fits (GNC is dashed). The legends summarize the model fit parameters and GNL biases, Cb.