Research Article

A General Framework for Automated Accurate Calculation of b-Matrix (Auto-b) in Diffusion MRI Pulse Sequences

Table 5

Estimated physiological parameters and their relative error using accurate and nominal b-values in an optimized SE-EPI sequence.

IVIM fitting resultsS 0D (10−3 mm2/s)f (10−2 mm2/s)

Case 1
0.8 × 0.8 × 0.8 mm3
Ideal parameters10002.200.301.60
Accurate b-values1000.11 (−0.01%)2.20 (−0.18%)0.30 (0.37%)1.61 (−0.42%)
Approximate b-values954.02 (4.60%)2.21 (−0.52%)0.29 (4.93%)1.14 (29.05%)

Case 2
0.6 × 0.6 × 0.8 mm3
Ideal parameters1000.002.200.301.60
Accurate b-values1000.13 (−0.01%)2.20 (−0.19%)0.30 (0.37%)1.61 (−0.44%)
Approximate b-values927.56 (7.24%)2.21 (−0.46%)0.28 (6.00%)0.85 (46.91%)