# Combined Use of MRI, fMRIand Cognitive Data for Alzheimer's Disease: Preliminary Results
## 3 Results
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Region Number** & **Location** & \(p\)**-Value** \\ \hline
1 & Precentral L & 0.0259 \\
2 & Precentral R & 0.0093 \\
4 & Frontal Sup R & 0.0275 \\
5 & FrontSupOrbL & 0.0275 \\
8 & Frontal Mid R & 0.0371 \\
11 & FrontInfOperL & 0.0061 \\
12 & FrontInf Oper R & 0.000631 \\
14 & FrontInf TriR & 0.0251 \\
17 & Rolandic Oper L & 0.0011 \\
29 & Insula L & 0.013 \\
30 & Insular R & 0.00e-34 \\
37 & Hippocamp L & 0.0087 \\
43 & Calcarine L & 0.045 \\
44 & Calcarine R & 0.0361 \\
47 &ingual L & 0.0214 \\
48 &ingual R & 0.0123 \\
50 & Occipital Sup R & 0.0468 \\
56 & Fusiform R & 0.0054 \\
57 & Postcentral L & 0.0251 \\
58 & Postcentral R & 0.0063 \\
59 & Parietal SupL & 0.0495 \\
60 & Parietal Sup R & 0.0315 \\
61 & Parietal Inf L & 0.0284 \\
62 & Parietal Inf R & 0.0093 \\
63 & Supramarginal L & 0.0160 \\
64 & Supramarginal R & 0.0115 \\
65 & Angular L & 0.0166 \\
66 & Angular R & 0.009 \\
67 & Precuneus L & 0.010 \\
68 & Precuneus R & 0.0131 \\
73 & Putamen L & 0.0442 \\
75 & Pallidum L & 0.0040 \\
76 & Pallidum R & 0.0394 \\
82 & Temporal Sup R & 0.0023 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Regions with a significant difference in grey matter volume between AD and HC that did not survive after [PERSON]’s correction. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Region Number** & **Location** & \(p\) & \(p\)**-Value** \\ \hline
11 & FrontInf Oper L & 0.2460 & 0.0416 \\
12 & FrontInf Oper R & 0.27533 & 0.0221 \\
17 & Rolandic Oper L & 0.2618 & 0.0298 \\
18 & Rolandic Oper R & 0.3453 & 0.0037 \\
29 & Insula L & 0.2455 & 0.0421 \\
37 & Hippocamp L & 0.2783 & 0.0206 \\
67 & Precuneus L & 0.261 & 0.0309 \\
73 & Putamen L & 0.2601 & 0.0309 \\
75 & Pallidum L & 0.2632 & 0.0289 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Regions with significant correlation between grey matter volume and MMSE across AD and HC groups. Successively, the correlation analysis between GMV and the clustering coefficient in the ROIs was assessed. This step was necessary to evaluate if any possible correlation between structural and functional information existed and can be exploited as a clinical feature to identify a possible difference between the HC and AD groups. The analysis was performed considering the two groups separated and then combining AD and HC subjects. This choice was aimed to identify if the correlation coefficient, \(\rho\), can be statistically significant for a given ROI and to understand in which measure it can contribute to the knowledge of the differences between healthy control and diseased subjects, also when the two classes are grouped and mixed. In the literature, nobody has demonstrated this possible relationship using structural MRI and fMRI. Previous studies employed GMV as a covariate [23; 73; 74; 81] or evaluated the anatomical overlap between GM atrophy and functional disconnection [80]. Other techniques, such as diffusion MRI [24], were used to evaluate such a probable correlation. In this work, across groups, the GMV and the CC were correlated in seven ROIs; after [PERSON]'s correction, no ROI survived. From Figure 6a, higher GMV was associated with high CC in the right supplementary motor area (\(\rho\) = 0.3107, \(p\) = 0.0096). Within the HC group, nine ROIs presented correlation between GMV and CC. Higher GMV was associated with a higher correlation coefficient in the left calcarine (rho = 0.4597, \(p\) = 0.0052), as shown in Figure 6b. Within the AD group, as observed from Figure 6c, only four ROIs presented a correlation between GMV and CC. Higher GMV was associated with a higher CC in the left hippocampus (\(\rho\) = 0.4014, \(p\) = 0.0213). Other results of the correlation analysis are shown in Table 4. The findings from Table 4, considering the HC subjects, indicated that the correlation coefficient of GMV and CC of both the supplementary motor areas and the cuneus, the left calcarine, the middle-left occipital, and left angular were statistically significant.