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Optimizing DWI b-value Sampling for Accurate Metabolic and Cytometric Parameter Extraction: Activity MRI [aMRI]
Xin Li1, Eric M. Baker1, Brendan Moloney1, Cory Wyatt1, Eric Baetscher1, Erin W. Gilbert2, Charles S. Springer1, Alexander R. Guimaraes1,3, and William D. Rooney1
1Advanced Imaging Research Center, Oregon Health & Science University, Portland, OR, United States, 2Surgery, Oregon Health & Science University, Portland, OR, United States, 3Diagnostic Radiology, Oregon Health & Science University, Portland, OR, United States
Using seven b-value acquisitions as an example, the optimal maximum DWI b-value for pancreas tail tissue is found to be generally under 3,000 s/mm2.  Evenly-spaced b-value strategies are often sufficient.  
Figure 3. Contour plots of ln (1- a) for different bmax (from 2,000 to 7,000) and different b-spacing power (r) values for four different SNRs (single real or imaginary channel) of 50 (A), 100 (B), 200 (C), 300 (D). The log spacing option (gray arrows) was appended to the far right to the r values in each panel with white shading for differentiation. For normal pancreatic tail tissue, a bmax under 3000 s/mm2 is sufficient for practical achievable SNR and even b-spacing pattern is often among the optimal choices. See Fig. 4 for more details.
Figure 4. The numerically determined radius (R) of curvature reciprocal for the “true” DWI curve (Fig. 1 solid curve) is plotted against the b-values in panel A. When 1/R approaches zero, the b-space decay approaches a straight line. Panel B plots the derivative of (1/R) with respect to b. It quantifies how quickly the curvature in panel A changes with respective to b. For this case, the most dramatic change occurs when b < 3,000 s/mm2, matching the Fig. 3 simulation results. (The ordinate units are not given.)