“…ΔM(x, y, z) is the difference between dynamic-averaged signal intensity in control image and that in the label image at voxel (x, y, z). Here α, the labeling efficiency, is 0.92 according to the relationship of labeling efficiency and blood velocity in the previous study (Aslan et al, 2010) with the blood velocity of 10.77 ± 4.44 cm/sec measured from PC MRI of 14 neonates; λ , the blood-brain partition coefficient, is 0.9 mL/g (Herscovitch and Raichle, 1985); PLD(z), the post labeling delay time at the slice z, is 2500ms for images acquired with 3D GRASE pCASL sequence and 2500+(z-1)*w for images acquired with multi-slice pCASL sequence, where w = 35ms is the slice timing delay between adjacent slices; LabelDur, the labeling duration, is 1650ms; T 1a , T 1 of arterial blood, was obtained for each subject based on blood T1-hematocrit curve (Liu et al, 2015). The subject-specific hematocrit was estimated with the subjects’ age at scan based on the hematocrit-age curve (Jopling et al, 2009).…”