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 , and 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 | / |