. Author manuscript; available in PMC: 2016 Dec 1.

Published in final edited form as: Magn Reson Imaging. 2015 Aug 3;33(10):1191–1204. doi: 10.1016/j.mri.2015.07.008

Table 3.

Quantified results from simulated images using the low orientation method.

Angle	T_E	Δχ	A	ρ_0,c	ρ₀

Degree	ms	ppm	pixel²
10	17	0.41 ± 0.03 (17/24)	3.27 ± 0.78	4.2 ± 1.6	9.89 ± 0.20
	24		3.15 ± 0.75	3.4 ± 1.6	9.89 ± 0.20
30	17	0.42 ± 0.13 (17/24)	3.14 ± 1.70	4.2 ± 1.7	9.89 ± 0.20
	24		2.96 ± 1.60	4.5 ± 2.8	9.88 ± 0.20
30	17	0.42 ± 0.05 (17/30)	2.89 ± 0.84	4.2 ± 1.2	9.79 ± 0.20
	30		2.96 ± 0.86	2.5 ± 1.4	9.76 ± 0.20

The first column lists the orientation. The second column lists T_E. The third column lists Δχ solved from Eq. (8). Numbers inside parentheses show the two echo times used for calculating the susceptibility. The theoretical value of Δχ is 0.4 ppm and the theoretical cross-sectional area is 3.14 pixel². The chosen radius, R, for solving Eq. (8) is 1.5 pixel. The fourth column lists the cross-sectional area of the cylinder calculated from Eq. (7). The fifth column lists the effective spin density inside the object calculated from the imaginary part used in Eq. (7). The sixth column lists the quantified effective spin density outside the object.