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Asymmetry Analysis in Rodent Cerebral Ischemia Models

Rationale and Objectives

An automated method for identification and segmentation of acute/subacute ischemic stroke, using the inherent bi-fold symmetry in brain images, is presented. An accurate and automated method for localization of acute ischemic stroke could provide physicians with a mechanism for early detection and potentially faster delivery of effective stroke therapy.

Materials and Methods

Segmentation of ischemic stroke was performed on magnetic resonance (MR) images of subacute rodent cerebral ischemia. Eight adult male Wistar rats weighing 225–300 g were anesthetized with halothane in a mix of 70% nitrous oxide/30% oxygen. Animal core temperature was maintained at 37°C during the entire surgical procedure, including occlusion of the middle cerebral artery (MCA) and the 90-minute post-reperfusion period. To confirm cerebral ischemia, transcranial measurements of cerebral blood flow were performed with laser-Doppler flowmetry, using 15-mm flexible fiberoptic Doppler probes attached to the skull over the MCA territory. Animal MR scans were performed at 1.5 T using a knee coil. Three experts performed manual tracing of the stroke regions for each rat, using the histologic-stained slices to guide delineation of stroke regions. A strict tracing protocol was followed that included multiple (three) tracings of each stroke region. The volumetric MR image data were processed for each rat by computing the axis of symmetry and extracting statistical dissimilarities. A nonparametric Wilcoxon rank sum test operating on paired windows in opposing hemispheres identified seeds in the pixels exhibiting statistically significant bi-fold mirror asymmetry. Two brain reference maps were used for analysis: an absolute difference map (ADM) and a statistical difference map (SDM). Although an ADM simply displays the absolute difference by subtracting one brain hemisphere from its reflection, SDM highlights regions by labeling pixels exhibiting statistically significant asymmetry.

Results

To assess the accuracy of the proposed segmentation method, the surrogate ground truth (the stroke tracing data) was compared to the results of our proposed automated segmentation algorithm. Three accuracy segmentation metrics were utilized: true-positive volume fraction (TPVF), false-positive volume fraction (FPVF), and false-negative volume fraction (FNVF). The mean value of the TPVF for our segmentation method was 0.8877; 95% CI 0.7254 to 1.0500; the mean FPVF was 0.3370, 95% CI –0.0893 to 0.7633; the mean FNVF was 0.1122, 95% CI –0.0502 to 0.2747.

Conclusions

Unlike most segmentation methods that require some degree of manual intervention, our segmentation algorithm is fully automated and highly accurate in identifying regions of brain asymmetry. This approach is attractive for numerous neurologic applications where the operator’s intervention should be minimal or null.

Stroke is the third leading cause of death in the United States, resulting in approximately 150,000 deaths per year ( ). Building a computer-aided diagnostic tool that detects the presence or absence of an acute/subacute ischemic infarct could improve patient outcomes through earlier detection. An accurate, automated, and efficient method that identifies acute/subacute brain ischemia with magnetic resonance (MR) imaging could provide physicians with an additional tool for delivering fast and effective stroke therapy.

Automated detection and segmentation of brain abnormalities spans several decades of research ( ). To facilitate fully automated segmentation, it is known that image information alone is insufficient to successfully differentiate among target organs, abnormal tissue, and the background ( ). For example, the active contour classification ( ) and simple fuzzy connectedness ( ) methods require manual selection of seeds to initialize the segmentation process. Some existing fully automated methods experience other shortcomings. For example, statistical classification methods ( ) may fail when a brain lesion shows insufficient contrast against its background or presents highly inhomogeneous patterns. Inhomogeneity results in overlapping intensity distributions between healthy tissue and abnormal tissue.

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Materials and methods

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Approach Overview

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Figure 1, The proposed segmentation framework is demonstrated in a flowchart (a) and a graphic illustration (b) in segmenting stroke from rat ischemia stroke models in magnetic resonance imaging. 2D, two dimensional; ADM, absolute difference map; SDM, statistical difference map.

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Detection of the Symmetry Axis for each Individual Scan

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Figure 2, (a) The axis of symmetry in an almost symmetric object. Each point has been reparameterized by its radius R and the angle θ . (b) In r-θ polar space, we seek the global minimum of the symmetry measure—the sum of element-by-element absolute difference—between two adjacent windows of size π.

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Generation of the SDM and ADM

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The Statistical Difference Map

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Figure 3, Statistical significance test is performed based on two paired windows as the sample units.

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If there is a significant normal variation between hemispheres, it is highly likely that the method will capture both pathologic abnormalities and artifacts coming from normal asymmetries. The presence of normal and pathologic asymmetries makes it essential to introduce an additional threshold that will allow for differentiation between these two types of asymmetries.

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Figure 4, Ischemic stroke segmentation from magnetic resonance imaging rat images. (a) The original images; (b) the absolute difference map; (c) the statistical difference map (a small empirical P value is chosen); and (d) final segmented images after region growing operation.

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The ADM

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ADM(rx,cy)=[∥XL−XR∥,f(∥XL−XR∥)]. A

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Region growing within the difference map

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Results

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Development of Expert-based Ground Truth

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Figure 5, Delineation of stroke area in rat magnetic resonance (MR) data using histologic slices for guidance: (a) histologic data, (b) delineated stroke regions in histologic data, (c) MR data, and (d) delineated stroke regions in MR data ( 21 ).

Figure 6, Surrogate ground truth derived from hand delineations of a single slice (a–i) nine S1–S9 hand-segmentations generated by experts. (j) The fuzzy object representing surrogate ground truth.

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Table 1

The Intra- and Interoperator Variabilities Between the Hand-segmented Delineations of the Stroke Region Affects the Reliability of the Resulting Surrogate Ground Truth

Intra- and Interoperator Variabilities for One Rat Scan Operator 1 Operator 2 Operator 3 Segmentation Trial 1 Trial 2 Trial 3 Trial 1 Trial 2 Trial 3 Trial 1 Trial 2 Trial 3 Ground truth area (pixel) 476.3 Segmented area (pixel) 534 475 514 577 666 459 419 390 396 Area of difference 12.1% 0.29% 7.91% 21.13% 39.8% 6.39% 12.0% 18.1% 16.8% TPVF 0.935 0.899 0.933 0.954 1 0.872 0.838 0.798 0.779 Intra CV 6.30% 21.80% 3.21% Inter CV 19.08%

CV: coefficient of variation; TPVF: true-positive volume fraction.

The accuracy assessment of the automated segmentations is affected. The “experts” used in this project were trained medical students who have showed noticeable intra- and interoperator discrepancies quantified by CV. For a given rat scan, operator 1 has shown 6.30% intraoperator variability; this value is 21.80% and 3.21% for operator 2 and 3, respectively. The interoperator variability is 19.08%.

Table 2

Intra- and Interoperator Variabilities for 12 Scans

Slice 10 Slice 11 Slice 12 Intraoperator Interoperator Intraoperator Interoperator Intraoperator Interoperator Exp_A Exp_B Exp_C Exp_A Exp_B Exp_C Exp_A Exp_B Exp_C Rat 1 43.96% 42.80% 20.45% 37.98% 9.10% 17.07% 13.44% 13.98% 12.15% 20.00% 11.20% 16.51% Rat 2 8.38% 14.81% 22.77% 19.92% 9.92% 15.30% 12.19% 12.67% 18.07% 18.07% 16.39% 15.18% Rat 3 22.44% 12.03% 17.18% 19.67% 6.12% 11.65% 2.79% 9.38% 10.21% 9.01% 19.25% 12.58% Rat 4 6.50% 11.63% 4.18% 12.98% 3.49% 11.96% 8.59% 11.13% 15.19% 10.18% 6.13% 15.21%

The mean coefficient of intraoperator variation of is 13.74%; the mean coefficient of interoperator variation 16.43%.

Each expert (Exp) A, B, and C segmented the stroke area three times on different days. Intra- and inter-coefficient of variations are computed.

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Assessment of Accuracy

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Figure 7, Validation of ischemic stroke segmentation in the rat cerebral ischemia cases, acquired with magnetic resonance imaging. In each group of nine images representing one rat study, the left-most column is the original brain with identified symmetry axes; the second column is the surrogate ground truth of the stroke region, and the third column contains the final segmentation results using our algorithm.

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Figure 8, A geometric illustration of the three accuracy factors for manual delineation of a stroke region. S T and S are sets of pixels representing segmentations from the ground truth and our algorithm. Accuracy is measured by three metrics: truth-positive volume fraction (TPVF), false-positive volume fraction (FPVF), and false-negative volume fraction (FNVF).

Table 3

Accuracy Measurement of the Automated Segmentation Method

Slice 10 Slice 11 Slice 12 TPVF FPVF FNVF TPVF FPVF FNVF TPVF FPVF FNVF Rat 1 (S2) 0.822 0.7787 0.1779 0.962 0.2697 0.0382 0.993 0.3563 0.0067 Rat 2 (S2) 0.948 0.7526 0.0515 0.803 0.1375 0.1973 0.722 0.2997 0.2776 Rat 3 (S2) 0.880 0.3622 0.1199 0.847 0.1549 0.1530 0.974 0.3689 0.0256 Rat 4 (S2) 0.915 0.1451 0.0848 0.837 0.1757 0.1634 0.949 0.2431 0.0510

FPVF: false-positive volume fraction; TPVF: true-positive volume fraction;

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Assessment of Efficiency

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Discussion

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Figure 9, The statistical difference map (SDM) computed with different window sizes. From left to right, the window sizes are 5, 7, and 9 pixels, respectively. The α value (ie, level of significance) is fixed as 5.0770e-09.

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Figure 10, An illustration of dealing with a brain lesion crossing the symmetry axis (left image). We can discover the dissimilarities and characterize them as seeds (shown as the wedge on the right image) via a pairwise statistical test; thus, the symmetric portion of the lesion has mostly been canceled out.

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Figure 11, Comparison of segmentation results of stroke magnetic resonance imaging data from rats (a) using the level set method ( b ). Ground truth and segmented stroke using symmetry-based method are depicted in (c) and (d) , respectively. Level set segmentation, although it automatically classifies the brain tissue into four major classes, misclassifies some normal tissues (on the healthy side of the brain) signally overlapping with that of stroke (illustrated in white signals in b ).

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Conclusion

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Acknowledgments

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