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. 2020 Feb 15;207:116399. doi: 10.1016/j.neuroimage.2019.116399

Table 1.

Top part: A and B coefficients obtained for each metabolite when fitting the function A ​+ ​B ​× ​cos(2ϕ). The B coefficient is higher for neuronal than glial marker. The cost function was calculated for each subject using c=ϕ(xϕyϕ)², xϕ and yϕ being the fitted and experimental data respectively. Here, the mean and standard deviation for c clearly increase in the case of MM, underlining the poor quality of the fit due to lower signal modulation as well as more pronounced inter-individual variations. Error corresponds to the standard deviation calculated over four animals. Bottom part: Dfree and dfiber values corresponding to the best fit for each metabolite to a basis of simulated signals using the infinite cylinder model. Error on Dfree and dfiber was estimated using Monte Carlo simulations. Dfree appears underestimated whereas dfiber is overestimated.

METABOLITES
tNAA (neuronal marker) tCr Tau Ins (glial marker) tCho (glial marker) Lac MM
Fitting to A ​+ ​B ​× ​cos(2ϕ)
Offset (A) 0.293 ​± ​0.004 0.235 ​± ​0.012 0.197 ​± ​0.011 0.228 ​± ​0.016 0.286 ​± ​0.018 0.130 ​± ​0.004 0.742 ​± ​0.030
Amplitude Modulation (B) 0.040 ​± ​0.004 0.036 ​± ​0.004 0.035 ​± ​0.005 0.030 ​± ​0.003 0.029 ​± ​0.003 0.028 ​± ​0.006 0.020 ​± ​0.012
B/A ratio 0.137 ​± ​0.014 0.155 ​± ​0.020 0.177 ​± ​0.024 0.132 ​± ​0.015 0.101 ​± ​0.014 0.212 ​± ​0.051 0.026 ​± ​0.016
Cost function 0.018 ​± ​0.006 0.027 ​± ​0.004 0.020 ​± ​0.004 0.024 ​± ​0.006 0.017 ​± ​0.006 0.029 ​± ​0.002 0.055 ​± ​0.019
Fitting to the infinite cylinders model
Dfree (μm2/ms) 0.20 ​± ​0.02 0.22 ​± ​0.04 0.25 ​± ​0.03 0.21 ​± ​0.03 0.17 ​± ​0.02 0.34 ​± ​0.06 /
dfiber (μm) 3.22 ​± ​0.29 3.89 ​± ​0.43 4.20 ​± ​0.26 4.14 ​± ​0.0.15 3.76 ​± ​0.30 4.80 ​± ​0.27 /