We investigated the influence of voxel size on the accuracy and precision of intracranial vessel wall thickness measurements on MR images. Circle of Willis specimens were scanned at ultra-high resolution (0.11mm). Downsampling these images showed that distinguishing thin (0.35-0.45mm), medium (0.65-0.75mm) and thick (0.95-1.05mm) vessel walls requires voxel sizes below 0.55-0.66mm, although thickness measurements showed considerable bias at those resolutions. Unbiased measurements required a voxel size of 0.2mm or less. A clinically used MRI protocol (0.8mm), could only correctly measure vessel walls thicker than 0.9mm. In summary, current intracranial vessel wall MRI protocols provide limited quantification of vessel wall thickness.
In this study, 12 human specimens of the circle of Willis, (mean age, 75 years; range, 66-84 years), obtained between 2008-2015 and examined in 2016, were used. An ultra-high resolution sequence (3D gradient echo, isotropic acquired voxel size: 0.11mm) and a clinically used low resolution sequence (MPIR-TSE10, isotropic acquired voxel size: 0.8mm) were performed. A skeletonization of the vessel wall was performed on the ultra-high and low resolution images. At each skeleton point, the vessel wall thickness was automatically estimated as the full width at half maximum of the intensity profile, perpendicular to the vessel wall.
Three analyses were performed on the middle cerebral artery. First, the automatically determined reference thickness, the vessel wall thickness measured on the ultra-high resolution images, was validated to manual measurements from previous work11. Second, we compared the vessel wall thickness estimated on low resolution images to the reference thickness. Last, we investigated the correctness of vessel wall thickness measurements for three vessel wall thickness ranges (thin (0.35-0.45mm), medium (0.65-0.75mm) and thick (0.95-1.05mm)), on downsampled ultra-high resolution images (Figure 1). Additionally, we determined the maximum voxel size required to distinguish between the three thickness ranges.
For the distinguishability estimation, a bootstrapping method was employed for sample generation. The distinguishability between two thickness ranges, Y and Z, at a given voxel size, was defined as the certainty that a new sample x, an element of unified sets Y and Z, was labeled in one of the thickness ranges over the other. The value of x was compared to that of randomly sampled values y and z, elements from Y and Z, respectively. If the value of x was closer to y than z, we assumed that x originated from Y, and vice versa. In total, 10,000 bootstrapped y-z pairs were compared to the value of x, yielding a percentage of labeling x into Y and Z. The highest percentage was taken as the certainty that sample x came from one set. By averaging over the highest percentages estimated for 10,000 samples x, the distinguishability was determined.
The reference thickness showed excellent agreement with previously validated manual measurements11, see Figure 2 (median and interquartile range difference: -0.052±0.08mm).
The second analysis showed that up to a reference thickness of 0.9mm, no differences in estimated thickness were measured from the low resolution images, see Figure 3. For thicker walls, the estimated thickness increased almost linearly with the reference thickness.
The downsampled images, in the last analysis, showed that when the voxel size increases, the spread and median estimated thickness increases as well (Figure 4). Up to a voxel size of 0.22mm, the median vessel wall thickness could be accurately estimated. Hereafter, the median thickness started to deviate from the reference thickness. At a voxel size of 0.55mm, the distinguishability between the thin and medium thickness ranges (Figure 5, blue line) was almost 50%, indicating that a new sample is labelled as thin or medium with equal chance. From a voxel size of 0.66mm, the estimated thickness is similar for the medium and thick ranges, given the low distinguishability at this voxel size.
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