While several multi-compartment models of diffusion have been developed to describe the healthy neural tissue, most of these models fail in the presence of tumours, because they are unable to capture their heterogeneity. By contrast, models of diffusion able to quantify histologic features of colorectal and prostate tumors in vivo have been proposed. Here we combine the sensitivity of these models to tumour histology and the ability of multi-compartment models of dMRI in the brain to describe the complexity of the neural tissue.
Patients’ clinical data
Data were collected from 5 patients (4 males; median age=64 years; range=23-70 years); patients details and their histopathological diagnosis according to the new WHO 2016 brain tumor classification are shown in Table 1. , Patients 1-3 had WHO-III astrocytoma IDH-wt (wild-type) with infiltrative oedema, patient 4 had a secondary tumor lesion (metastasis from melanoma), with purely vasogenic oedema, and patient 5 had WHO-II astrocytoma (IDH-wt).
MRI imaging protocol
MRI was acquired at 3T (ingenia CX, Philips Healthcare). A series of 10 dMRI scans were acquired, each along 3 orthogonal diffusion-encoding directions varying the TE, the diffusion gradient amplitude (G), duration (δ), and separation (Δ). A b0 image was acquired for each TE. Finally we acquired a two-shell dMRI data set with b=711 (38 directions) and b=3000s/mm2 (63 directions), respectively, and TE=78ms. Twelve b0 images were also collected with the same TE. Additionally, 3D-FLAIR images and post-contrast 3D-T1 weighted images were acquired. Regions of interest (ROI) masks for the whole tumour were segmented on 3D-FLAIR images and for the tumour core on post-contrast 3D-T1 images, in order to outline the core and the periphery of the tumours (Figure 1).
Tissue model and fitting for the DWI data
The model characterizes the diffusion signal such that the total signal STotal within each voxel is the weighted sum of the signal from each compartment:
$$$S_{Total} = fic\star{S_{Sphere}} + fn\star{S_{Tensor}} +fiso\star{S_{Ball}}$$$
Where: SSphere is the signal from the tumour intra-cellular tissue (restricted water), STensor is the signal from the neural tissue, SBall is the signal from the free water, fic, fn and fiso are the volume fractions of the intra-cellular, neural tissue and free water, respectively. Details about the Sphere, Tensor and Ball models can be found in (4,5). For this proof-of-concept study we fixed the diffusivity within compartments: the intracellular diffusivity (di), and the free water diffusivity (diso) to 1*10-9 and 3*10-9 m2/s, respectively. So the following parameters were estimated fic, fn, R (cell radius)). The normalization constant and T2 were also fitted for all models to account for the variable TE. The free water volume fraction fiso was was calculated as: fiso = 1-( fic + fn ).
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