1. Background
2. Objectives
3. Methods
3.1. Studied Groups
3.2. Magnetic Resonance Imaging
3.3. MRI Analysis and First-Order Histogram Features
3.4. Surgical Pathology Differential Diagnosis
3.5. Sample Size
3.6. Statistical Analysis
4. Results
| FOH Features | ADCs a for GBM-ODG (N = 31) | ADCs a for GBM (N = 26) | ADCs a in Total (N = 57) | P-Value | |||
|---|---|---|---|---|---|---|---|
| Mean ± SD | Median (Minimum; Maximum) | Mean ± SD | Median (Minimum; Maximum) | Mean ± SD | Median (Minimum; Maximum) | ||
| Mean | 1.234 ± 0.353 | 1.231 (0.111; 1.905) | 1.351 ± 0.460 | 1.188 (0.669; 2.554) | 1.288 ± 0.406 | 1.201 (0.111; 2.554) | 0.798 |
| Maximum | 2.259 ± 0.663 | 2.205 (0.228; 3.454) | 2.290 ± 0.746 | 2.131 (1.161; 3.794) | 2.273 ± 0.696 | 2.153 (0.228; 3.794) | 0.867 b |
| Minimum | 0.593 ± 0.202 | 0.556 (0.078; 0.994) | 0.686 ± 0.251 | 0.631 (0.334; 1.407) | 0.635 ± 0.228 | 0.614 (0.078; 1.407) | 0.126 b |
| Median | 1.185 ± 0.353 | 1.172 (0.107; 1.920) | 1.326 ± 0.486 | 1.160 (0.659; 2.603) | 1.249 ± 0.421 | 1.168 (0.107; 2.603) | 0.689 |
| Normal mean | 0.543 ± 0.089 | 0.535 (0.397; 0.746) | 0.587 ± 0.100 | 0.580 (0.359; 0.777) | 0.563 ± 0.096 | 0.552 (0.359; 0.777) | 0.086 b |
| SD | 0.131 ± 0.028 | 0.130 (0.076; 0.197) | 0.123 ± 0.039 | 0.109 (0.081; 0.217) | 0.127 ± 0.033 | 0.123 (0.076; 0.217) | 0.107 |
| Smoothness | 13.5×10 -9 ± 32.5×10 -9 | 81.2×10-11 (11.3×10-11; 14.8×10-8) | 98.7984×10 -10 ± 16.722112×10 -9 | 17.9378×10-10 (86×10-11; 671.70×10-10) | 118.5144×10 -10 ± 263.65655×10 -10 | 15.5879×10-10 (8.6×10-11; 1478.47×10-10) | 0.287 |
| Third moment | 0.002 ± 0.001 c | 0.001 (-0.002; 0.004) c | 0.001 ± 0.002 c | 0.001 (-0.003; 0.009) c | 0.001 ± 0.002 c | 0.001 (-0.003; 0.009) c | 0.014 c |
| Uniformity | 1488.795 ± 1084.923 | 1439.856 (185.397; 4152.125) | 1425.414 ± 1115.675 | 1153.173 (199.925; 4386.708) | 1459.885 ± 1089.616 | 1245.590 (185.397; 4386.708) | 0.730 |
| Entropy | 6.741 ± 0.325 | 6.700 (6.002; 7.461) | 6.642 ± 0.338 | 6.696 (6.002; 7.269) | 6.696 ± 0.331 | 6.699 (6.002; 7.461) | 0.266 b |
| Kurtosis | 4.177 ± 2.210 | 3.186 (2.033; 10.946) | 4.175 ± 2.235 | 3.467 (1.924; 10.691) | 4.176 ± 2.201 | 3.361 (1.924; 10.946) | 0.743 |
| 25 Percentile | 0.448 ± 0.091 | 0.427 (0.300; 0.681) | 0.498 ± 0.117 | 0.495 (0.231; 0.719) | 0.471 ± 0.106 | 0.462 (0.231; 0.719) | 0.073 b |
| 75 Percentile | 0.621 ± 0.102 | 0.622 (0.449; 0.813) | 0.669 ± 0.109 | 0.686 (0.433; 0.849) | 0.643 ± 0.107 | 0.649 (0.433; 0.849) | 0.096 b |
| 95 Percentile | 0.788 ± 0.093 | 0.806 (0.574; 0.936) | 0.797 ± 0.084 | 0.812 (0.622; 0.935) | 0.792 ± 0.088 | 0.807 (0.574; 0.936) | 0.719 b |
Abbreviations: ADC, apparent diffusion coefficient; CI, confidence interval; FOH, first-order histogram; GBM, Glioblastoma; GBM-ODG, Glioblastoma with Oligodendroglia component; SD, standard deviation. SE, standard error.
a ADCs unit is ×10-3 mm2/s.
b Results are using two independent samples t-test.
c Results are significant in comparisons.
| FOH Features | ADCs a for GBM-ODG (N = 26) | ADCs a for GBM (N = 24) | ADCs a in Total (N = 50) | P-Value | |||
|---|---|---|---|---|---|---|---|
| Mean ± SD | Median (Minimum; Maximum) | Mean ± SD | Median (Minimum; Maximum) | Mean ± SD | Median (Minimum; Maximum) | ||
| Mean | 1.186 ± 0.357 | 1.203 (0.112; 2.038) | 1.392 ± 0.404 | 1.288 (0.927; 2.318) | 1.285 ± 0.391 | 1.244 (0.112; 2.318) | 0.151 |
| Maximum | 2.129 ± 0.566 | 2.153 (0.256; 3.275) | 2.352 ± 0.656 | 2.267 (1.500; 3.784) | 2.236 ± 0.615 | 2.204 (0.256; 3.784) | 0.472 |
| Minimum | 0.584 ± 0.183 b | 0.591 (0.080; 0.966) b | 0.734 ± 0.248 b | 0.702 (0.374; 1.592) b | 0.656 ± 0.227 b | 0.671 (0.080; 1.592) b | 0.018 b,c |
| Median | 1.155 ± 0.373 | 1.136 (0.106; 2.158) | 1.378 ± 0.456 | 1.248 (0.880; 2.412) | 1.262 ± 0.426 | 1.188 (0.106; 2.412) | |
| Normal mean | 0.546 ± 0.099 | 0.537 (0.382; 0.721) | 0.592 ± 0.112 | 0.583 (0.382; 0.888) | 0.568 ± 0.107 | 0.571 (0.382; 0.888) | 0.137 c |
| Standard deviation | 0.119 ± 0.019 | 0.115 (0.081; 0.150) | 0.124 ± 0.040 | 0.113 (0.074; 0.255) | 0.121 ± 0.031 | 0.115 (0.074; 0.255) | 0.634 |
| Smoothness | 731.60×10 -10 ± 254.631×10 -9 | 160.0659×10-10 (6.85×10-10; 13151.96×10-10) | 264.15142×10 -9 ± 107.91×10 -8 | 218.2458×10-10 (7.42×10-10; 53202.34×10-10) | 1648.3565×10 -10 ± 7674.272×10 -10 | 184.4799×10 -10 (6.85×10 -10; 53202.34×10 -10) | 0.528 |
| Third moment | 0.001 ± 0.001 | 0.001 (-0.004; 0.004) | 0.001 ± 0.003 | 0.001 (-0.006; 0.015) | 0.001 ± 0.003 | 0.001 (-0.006; 0.015) | 0.086 |
| Uniformity | 500.572 ± 364.928 | 431.151 (54.836; 1907.015) | 498.858 ± 419.333 | 316.356 (37.249; 1697.927) | 499.750 ± 387.922 | 408.917 (37.249; 1907.015) | 0.567 |
| Entropy | 6.536 ± 0.294 | 6.622 (5.838; 6.941) | 6.503 ± 0.521 | 6.556 (4.888; 7.342) | 6.520 ± 0.414 | 6.593 (4.888; 7.342) | 0.946 |
| Kurtosis | 5.078 ± 2.558 | 3.962 (2.759; 13.519) | 4.451 ± 2.874 | 3.677 (2.084; 13.519) | 4.777 ± 2.705 | 3.802 (2.084; 13.519) | 0.203 |
| 25 Percentile | 0.464 ± 0.098 | 0.447 (0.276; 0.642) | 0.503 ± 0.126 | 0.483 (0.203; 0.836) | 0.483 ± 0.113 | 0.476 (0.203; 0.836) | 0.216 c |
| 75 Percentile | 0.612 ± 0.112 | 0.619 (0.411; 0.830) | 0.666 ± 0.119 | 0.658 (0.411; 0.959) | 0.638 ± 0.118 | 0.634 (0.411; 0.959) | 0.105 c |
| 95 Percentile | 0.768 ± 0.098 | 0.804 (0.565; 0.896) | 0.807 ± 0.093 | 0.821 (0.592; 0.992) | 0.787 ± 0.097 | 0.809 (0.565; 0.992) | 0.157 c |
Abbreviations: ADC, apparent diffusion coefficient; CI, confidence interval; FOH, first-order histogram; GBM, Glioblastoma; GBM-ODG, Glioblastoma with Oligodendroglia component; SD, standard deviation. SE, standard error.
a ADCs unit is ×10-3 mm2/s.
b Results are significant in comparisons.
c Results are using two independent samples t-test.
| FOH Features | ADCs a for GBM-ODG (N = 17) | ADCs a for GBM (N = 10) | ADCs a in Total (N = 27) | P-Value | |||
|---|---|---|---|---|---|---|---|
| Mean ± SD | Median (Minimum; Maximum) | Mean ± SD | Median (Minimum; Maximum) | Mean ± SD | Median (Minimum; Maximum) | ||
| Mean | 1.424 ± 0.349 | 1.494 (0.125; 1.674) | 1.402 ± 0.269 | 1.315 (1.144; 2.076) | 1.416 ± 0.316 | 1.454 (0.125; 2.076) | 0.066 |
| Maximum | 1.911 ± 0.501 | 2.018 (0.170; 2.588) | 2.205 ± 0.633 | 2.173 (1.446; 3.581) | 2.020 ± 0.560 | 2.060 (0.170; 3.581) | 0.309 |
| Minimum | 0.755 ± 0.273 | 0.892 (0.079; 1.053) | 0.712 ± 0.207 | 0.733 (0.279; 1.062) | 0.739 ± 0.247 | 0.815 (0.079; 1.062) | 0.243 |
| Median | 1.443 ± 0.354 b | 1.489 (0.125; 1.687) b | 1.390 ± 0.278 b | 1.323 (1.128; 2.107) b | 1.423 ± 0.324 | 1.474 (0.125; 2.107) | 0.018 b |
| Normal mean | 0.750 ± 0.065 b | 0.758 (0.562; 0.841) b | 0.627 ± 0.122 b | 0.633 (0.364; 0.770) b | 0.704 ± 0.106 | 0.736 (0.364; 0.841) | 0.04 b |
| SD | 0.101 ± 0.018 | 0.099 (0.073; 0.154) | 0.112 ± 0.026 | 0.109 (0.069; 0.159) | 0.105 ± 0.021 | 0.102 (0.069; 0.159) | 0.243 |
| Smoothness | 37×10 -10 ± 84×10 -10 | 11×10-10 (2×10-10; 357×10-10) | 45×10 -10 ± 110×10 -10 | 9×10-10 (0; 357×10-10) | 40×10 -10 ± 93×10 -10 | 10×10-10 (0; 357×10-10) | 0.570 |
| Third moment | -0.001 ± 0.002 b | -0.001 (-0.006; 0.000) b | 0.001 ± 0.002 b | 0.000 (-0.001; 0.007) b | 0.000 | 0.000 (-0.006; 0.007) | 0.003 b |
| Uniformity | 2085.458 ± 971.932 | 2245.070 (270.412; 3833.182) | 2426.117 ± 1721.120 | 2005.982 (270.412; 5593.440) | 2211.628 ± 1278.602 | 2168.382 (270.412; 5593.440) | 0.824 |
| Entropy | 6.519 ± 0.205 | 6.521 (6.132; 6.868) | 6.640 ± 0.262 | 6.683 (6.115; 6.971) | 6.564 ± 0.231 | 6.528 (6.115; 6.971) | 0.170 |
| Kurtosis | 3.525 ± 1.064 | 3.389 (2.291; 6.949) | 3.541 ± 1.127 | 3.110 (2.700; 5.732) | 3.531 ± 1.066 | 3.243 (2.291; 6.949) | 0.675 |
| 25 Percentile | 0.691 ± 0.069 b | 0.688 (0.500; 0.797) b | 0.552 ± 0.137 b | 0.560 (0.254; 0.722) b | 0.639 ± 0.119 | 0.681 (0.254; 0.797) | 0.003 b |
| 75 Percentile | 0.820 ± 0.064 b | 0.832 (0.638; 0.900) b | 0.699 ± 0.123 b | 0.720 (0.428; 0.836) b | 0.775 ± 0.106 | 0.806 (0.428; 0.900) | 0.002 b |
| 95 Percentile | 0.896 ± 0.059 b | 0.901 (0.718; 0.950) b | 0.820 ± 0.076 b | 0.837 (0.694; 0.915) b | 0.868 ± 0.074 | 0.881 (0.694; 0.950) | 0.005 b |
Abbreviations: ADC, apparent diffusion coefficient; CI, confidence interval; FOH, first-order histogram; GBM, Glioblastoma; GBM-ODG, Glioblastoma with Oligodendroglia component; SD, standard deviation. SE, standard error.
a ADCs unit is ×10-3 mm2/s.
b Results are significant in comparisons.
| FOH Features | AUC, Mean ± SE | 95% CI | P-Value | Criterion (Cut-off) (×10-3 mm2/s) | Sensitivity% (95%CI) | Specificity% (95% CI) |
|---|---|---|---|---|---|---|
| Mean | 0.718 ± 0.117 | (0.513 to 0.873) | 0.0630 | > 1.3274 | 88.24 (63.6 - 98.5) | 60 (26.2 - 87.8) |
| Maximum | 0.624 ± 0.136 | (0.418, 0.801) | 0.3637 | ≤ 2.169 | 88.24 (63.6 – 98.5) | 60 (26.2 -87.8) |
| Minimum | 0.641 ± 0.118 | 0.435 to 0.815 | 0.2325 | > 0.8153 | 64.71 (38.3 - 85.8) | 80 (44.4 - 97.5) |
| Median | 0.776 ± 0.112 b | 0.576 to 0.913 b | 0.0134 b | > 1.3516 b | 88.24 (63.6 - 98.5) b | 70 (34.8 - 93.3) b |
| Normal mean | 0.829 ± 0.0863 b | 0.636 to 0.946 b | 0.0001 b | > 0.6671 b | 94.12 (71.3 - 99.9) b | 70 (34.8 - 93.3) b |
| SD | 0.635 ± 0.126 | 0.429 to 0.810 | 0.2813 | ≤ 0.1124 | 88.24 (63.6 - 98.5) | 50 (18.7 - 81.3) |
| Smoothness | 0.571 ± 0.125 | 0.367 to 0.758 | 0.5713 | > 1.48629E-009 | 47.06 (23.0 - 72.2) | 80 (44.4 - 97.5) |
| Third moment | 0.835 ± 0.0844 b | 0.643 to 0.949 b | 0.0001 b | ≤ -0.0001 b | 70.59 (44.0 - 89.7) b | 90 (55.5 - 99.7) b |
| Uniformity | 0.524 ± 0.135 | 0.324 to 0.718 | 0.8618 | ≤ 2887.4672 | 88.24 (63.6 - 98.5) | 40 (12.2 - 73.8) |
| Entropy | 0.665 ± 0.124 | 0.458 to 0.833 | 0.1835 | ≤ 6.5428 | 70.59 (44.0 - 89.7) | 70 (34.8 - 93.3) |
| kurtosis | 0.547 ± 0.121 | 0.345 to 0.738 | 0.6979 | > 3.2427 | 58.82 (32.9 - 81.6) | 70 (34.8 - 93.3) |
| 25 Percentile | 0.829 ± 0.0864 b | 0.636 to 0.946 b | 0.0001 b | > 0.5929 b | 94.12 (71.3 - 99.9) b | 70 (34.8 - 93.3) b |
| 75 Percentile | 0.847 ± 0.0773 b | 0.657 to 0.956 b | < 0.0001 b | > 0.7336 b | 88.24 (63.6 - 98.5) b | 70 (34.8 - 93.3) b |
| 95 Percentile | 0.821 ± 0.0826 b | 0.626 to 0.940 b | 0.0001 b | > 0.8542 b | 88.24 (63.6 - 98.5) b | 70.00 (34.8 - 93.3) b |
Abbreviations: AUC, Area under the Curve; CI, confidence interval; FOH, first-order histogram; SD, Standard deviation; SE, standard error.
a The area under the receiver operating characteristic (ROC) curve (abbreviated as AUC) is a single scalar value that estimates the general implementation of a binary classifier. The AUC values range from [0.5 to 1.0], with the lowest value corresponding to random classifier performance and the highest value corresponding to an ideal classifier.
b Results are significant in comparisons.

