Specialised quantitative MRI techniques, while considered state-of-the-art for quantitative studies, increase acquisition times and costs. On the other hand, clinical techniques routinely added to every MR-protocol are dismissed from quantitative analyses because labelled as qualitative. In this study, macromolecular tissue volume (MTV) and T1-/T2-weighted ratio (T1w/T2w) maps extracted from clinical images were compared with magnetisation transfer ratio (MTR, gold standard for myelin mapping) to assess whether clinical scans can also be used for myelin mapping in multiple sclerosis. Good correlation and similar sensitivity to disease were observed for both comparisons, with MTV appearing overall more reliable than T1w/T2w when compared with MTR.
Subjects and MR-acquisition: The cohort is composed of 63 HC and 185 MS patients with different disease subtypes. The clinical scans include a PD-/T2-weighted turbo spin-echo (TE=19/85ms, TR=3.5s, 1x1x3mm3, 4:01’) and a T1-weighted spin-echo (TE=10ms, TR=625ms, 1x1x3mm3, 5:43’). MTR data include two 3D gradient-echo (TE=2.4ms, TR=30ms, 1x1x1mm3, ~12:30’), with and without a MT saturation pulse (~25:00’ total). All images were acquired on a 3T Philips Achieva MR system.
Data analysis: Lesions were manually traced by a clinical expert on the T2-weighted images. Quantitative PD,T2,T1 maps were extracted from clinical images by solving the associated Bloch equations4:
$$S_{PD}=PD(1-e^{-TR_1/T_1})e^{-TE_1/T_2}\\S_{T2}=PD(1-e^{-TR_1/T_1})e^{-TE_2/T_2}\\S_{T1}=PD(1-e^{-TR_2/T_1})e^{-TE_3/T_2}$$
where $$$S_{PD},S_{T2},S_{T1}$$$ represent PD-,T2-,T1-weighted signals. Receiver bias field correction was performed on the PD maps as described by Volz 20125. MTV maps were then calculated as MTV=1-PD. T1w/T2w maps were produced by dividing the T1- by the T2-weighted scan voxel-wise. MTR maps were calculated by normalising the image with MT-weighting by the one without. All images were non-linearly registered to MNI space6 (resolution 2x2x2mm3)(Fig.1).
Comparison: Within-subject correlation between modalities was tested by calculating, for each subject, the median value of MTV and T1w/T2w in normal-appearing white matter (NAWM) and grey matter (GM)7, and comparing it with MTR (Fig.2). Across-subjects comparisons were performed by running a t-test between the HC and MS groups using the median values for each modality (Fig.3). Voxel-wise t-test between the two groups was also performed using the maps in MNI space, excluding voxels within lesions (Fig.4). Mutual information (MI) between modalities was then calculated by comparing MTV and T1w/T2w values voxel-wise across subjects with MTR, excluding lesions. A reference MI map between MTR and itself was calculated to spatially normalise the previous two between 0 and 1(Fig.5).
Regional MTV values showed the strongest correlation with MTR and appeared to be better than T1w/T2w at discriminating between HC and MS patients in GM. When testing for differences between the two groups voxel-wise, similar significant t-statistics patterns were observed in the corpus callosum and periventricular region in all three modalities, with MTV and T1w/T2w showing more widespread alterations than MTR, which seems to suggest a higher sensitivity to the disease. Since no significant alterations were observed instead when testing on T1-weighted images, and only few voxels survived the test when using T2-weighted images, it is reasonable to assume that these results are not an artifact of non-linear registration.
The overall higher MI-values observed when comparing MTR with MTV suggest that MTR shares a higher degree of information with MTV than T1w/T2w. The uniform distribution of MI in NAWM and deep GM confirms that the information shared with MTR across subjects is not spatially dependent. The higher MI-values observed in cortical GM in the MTV-MTR comparison are most likely due to partial volume effects with CSF.
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Figure 3. Results of the t-tests between HC and MS patients using regional median values. The boxplots show the distributions of the median values of MTV, T1w/T2w and MTR in NAWM and GM for HC and MS patients. The distributions have been standardised across subjects (mean=0, standard deviation=1).
MTV and MTR values show similar distributions for both HC and MS. After correcting for multiple comparisons using Bonferroni’s correction (p<0.05/n, n=6 comparisons, *=significantly different), all modalities showed significant differences in NAWM, while only MTV and MTR showed significant differences in GM (both deep and cortical).
Figure 5. Top row: maps of MI between modalities, across patients. The MI-map of MTR against itself indicates the maximum MI-value achievable in every voxel and is therefore used as voxel-wise normalisation factor. Bottom row: normalised MI-maps and scores.
MI-scores were higher when comparing MTR with MTV, which implies that MTR matches more closely with MTV than T1w/T2w. Uniform values were observed in NAWM and deep-GM (dGM), showing that the degree of shared information across subjects between modalities is spatially independent. Higher values have been observed in cortical-GM (cGM) when comparing MTV with MTR, probably due to partial volume effects with CSF.