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Anisotropy of Anomalous Diffusion Helps in Grading of Gliomas
Boyan Xu1, Lu Su2, Zhenxiong Wang3, Yang Fan4, Bing Wu4, Gaolang Gong5, Wenzhen Zhu3, Peiyi Gao2, and Jia-Hong Gao1

1Center for MRI Research, Peking University, Beijing, China, 2Department of Radiology, Beijing Tiantan Hospital, Capital Medical University, Beijing, China, 3Department of Radiology, Tongji Hospital, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, China, 4MR Research China, GE Healthcare, Beijing, China, 5State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing, China

Synopsis

Anomalous diffusion model has been introduced and shown to be beneficial in clinical applications, compared with conventional diffusion models. However, the anisotropy of anomalous diffusion was neglected and its clinical feasibility remains uncertain. In this study, the use of anisotropy of anomalous diffusion is investigated for differentiating low- and high-grade cerebral gliomas. Based on the results, it is shown that the anisotropy of anomalous diffusion offers advantages compared to that of conventional diffusion models, indicating its potential to facilitate future studies of neuropathological changes in clinical populations.

Purpose

It has been shown that the anomalous diffusion models better depict the diffusion-induced MR signal attenuation, as compared to the conventional mono-exponential model1. The clinical feasibility of anomalous models has also been demonstrated2–5. Up to date, only the “mean” anomalous parameters, obtained by averaging maps acquired with gradients oriented along different directions, were investigated and the effect of diffusion anisotropy was ignored. Recently, it has been demonstrated in healthy subjects that the anisotropy of anomalous diffusion is non-negligible and it can offer different contrast when compared with the conventional diffusion tensor imaging6–9. However, the clinical utility of the directional information from the anomalous diffusion remains uncertain. In this work, the use of anisotropy indices of anomalous diffusion in differentiating low- and high-grade cerebral gliomas is investigated.

Methods

A total of 22 patients with pathologically-verified gliomas were enrolled in this prospective study. According to the World Health Organization (WHO) criteria10, these patients were divided into two groups: low-grade (n = 6; 1 females; mean age, 40.5±10.0 years; 4 WHO grade II astrocytic tumors and 2 WHO grade II oligoastrocytic tumors) and high-grade (n = 16; 6 females; mean age, 43.9±12.0 years; 1 WHO grade III astrocytic tumor, 11 WHO grade IV astrocytic tumors, and 4 WHO grade III oligoastrocytic tumors).

The MRI acquisition was performed on a 3.0T MRI scanner (Discovery MR750, GE Healthcare, Milwaukee, Wisconsin) equipped with an 8-channel head coil. The acquisition parameters were: TR/TE = 3800 ms/110 ms; accelerating factor = 2; field-of-view = 24 cm × 24 cm; matrix size = 128 × 128; slice thickness = 5 mm; and number of excitations = 2. The diffusion gradient separation time (Δ) was varied at 27.5, 40.0, and 55.5 ms consecutively. For each Δ value, the diffusion gradient amplitude (G0) was varied at 15.67, 19.68, 24.73, 31.06, 39.01, and 49.00 mT/m. The gradient duration (δ) was kept constant at 20.4 ms. Therefore, a total of 18 non-zero b-values were applied in one direction, ranging from 151 to 3482 s/mm2. The diffusion gradients were successively applied along the x-, y-, and z-axes.

After correction for eddy current distortions and head motions using FSL tools11, the diffusion MRI images were analyzed using the fractional motion (FM) model, which is thought appropriate to describe the anomalous diffusion in biological tissue12. The Noah exponent α and the Hurst exponent H were calculated, both of which characterize the FM model13,14. In addition, apparent diffusion coefficient (ADC) maps were also obtained using the images acquired at b-values of 0 and 950 s/mm2. To quantify anisotropy, an index similar to FA, termed generalized FA (gFA), was introduced as the sample standard deviation dividing the root mean square:

$$gFA(V)=\sqrt{\frac{N}{N-1}\frac{\sum^N_{i=1}(V_i-\bar{V})^2}{\sum^N_{i=1}V_i^2}}$$

where N is the number of sampling directions, Vi is the parameter in the i-th direction, and $$$\bar{V}$$$ is the directionally averaged parameter. The gFA maps were calculated for ADC, α, and H.

Two experienced radiologists manually placed region of interests (ROI) on solid tumor and normal-appearing white matter (NAWM) regions on the b0 images, with reference to contrast-enhanced T1-weighted images and T2-weighted images. The NAWM ROI was drawn in contralateral normal-appearing centrum semiovale to the tumor ROI, with the same size. The mean values of the gFA for ADC, α, and H were calculated over the selected ROIs and compared between low- and high-grade gliomas using the Mann-Whitney U test. Receiver operating characteristic (ROC) curves were generated to assess the sensitivity and specificity of different parameters in differentiating low- and high-grade gliomas.

Results

Anatomical images and the gFA maps of two representative patients are shown in Figure 1. It should be noted that gFA(H) shows clear delineation of tumor lesions from normal tissues. Figure 2 displays scatter diagram of gFA(α) vs gFA(H). It is seen that the tumor lesions and NAWM can be separated. The gFA(H) values of high-grade gliomas were significantly higher than those of low-grade gliomas (P-value=0.015); while no significant differences were observed between these two groups using gFA(ADC) (P-value=0.53) and gFA(α) (P-value=0.58) values. Figure 3 depicts the ROC curves. It is seen that the largest AUC (Area Under Curve) was obtained with gFA(H) (AUC=0.813) compared with gFA(ADC) (AUC=0.594) and gFA(α) (AUC=0.583).

Discussion and Conclusion

In this study, the use of anisotropy of anomalous diffusion was investigated in differentiating low- and high-grade cerebral gliomas. The results indicated that the Hurst exponent showed good performance and outperformed the conventional ADC in the differentiation. Although the direct voxel-wise radiologic-pathologic correlation should be further explored, the anisotropy of anomalous diffusion offers distinctive information on the grading of glioma tumors.

Acknowledgements

No acknowledgement found.

References

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Figures

Representative MR images and generalized fractional anisotropy (gFA) maps from one low-grade tumor patient (top row, a 36-year-old male with astrocytoma (WHO grade II)) and one high-grade tumor patient (bottom row, a 38-year-old female with glioblastoma (WHO grade IV)). The solid tumor ROIs are shown with red contours in the gFA maps.

Scatter diagram of gFA(α) versus gFA(H). All gliomas are classified according to type and grade. The values for the normal-appearing white matter (NAWM) regions are displayed for reference.

Receiver operating characteristic (ROC) curves obtained using gFA values for ADC, α, and H for differentiating low- and high-grade gliomas.

Proc. Intl. Soc. Mag. Reson. Med. 26 (2018)
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