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Ex Vivo Renal Stone Characterization with Single-Source Dual-Energy Computed Tomography A Multiparametric Approach

Rationale and Objectives

We aimed to investigate a multiparametric approach using single-source dual-energy computed tomography (ssDECT) for the characterization of renal stones.

Materials and Methods

ssDECT scans were performed at 80 and 140 kVp on 32 ex vivo kidney stones of 3–10 mm in a phantom. True composition was determined by infrared spectroscopy to be uric acid (UA; n = 14), struvite ( n = 7), cystine ( n = 7), or calcium oxalate monohydrate ( n = 4). Measurements were obtained for up to 52 variables, including mean density at 11 monochromatic keV levels, effective Z, and multiple material basis pairs. The data were analyzed with five multiparametric algorithms. After omitting 8 stones smaller than 5 mm, the remaining 24-stone dataset was similarly analyzed. Both stone datasets were also analyzed with a subset of 14 commonly used variables in the same fashion.

Results

For the 32-stone dataset, the best method for distinguishing UA from non-UA stones was 97% accurate, and for distinguishing the non-UA subtypes was 72% accurate. For the 24-stone dataset, the best method for distinguishing UA from non-UA stones was 100% accurate, and for distinguishing the non-UA subtypes was 75% accurate.

Conclusion

Multiparametric ssDECT methods can distinguish UA from non-UA stones of 5 mm or larger with 100% accuracy. The best model to distinguish the non-UA renal stone subtypes was 75% accurate. Further refinement of this multiparametric approach may increase the diagnostic accuracy of separating non-UA subtypes and assist in the development of a clinical paradigm for in vivo use.

Introduction

Urinary stones are increasing in prevalence and can be associated with morbidities ranging from pain and obstruction to renal failure and sepsis . Management of urinary calculi is influenced not only by the size, number, and location of stones, but also by their underlying chemical composition .

Conventional computed tomography (CT) has been used to evaluate the size, number, and location of stones. When using Hounsfield unit (HU) analysis at a single energy level, however, CT has limited specificity in determining the underlying chemical composition because considerable overlap in HU values has been reported for different urinary stone compositions . The recent commercial availability of dual-energy CT (DECT) has allowed for further characterization of the chemical composition of stones by exploiting the ability to acquire and measure data at both 140 kV and 80 kV simultaneously . Single-source DECT (ssDECT) scanners use a fast kV–switch single X-ray source, which flips rapidly between high and low energies during the scan .

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Materials and Methods

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Table 1

Variables Used

Variables_N_ Paired Materials \* 52-Variable set Mean 40–140 keV † 11 NA Mean effective Z 1 NA CaOx pairs 4 Water, cystine, struvite, UA NaUrate pairs 3 Calcium, HAP, water Calcium pairs 6 Iodine, NaUrate, water, struvite, cystine, UA Struvite pairs 5 CaOx, calcium, water, cystine, UA Iodine pairs 3 Calcium, water, UA Cystine pairs 5 CaOx, calcium, water, struvite, UA HAP pair 1 NaUrate UA pairs 6 CaOx, calcium, iodine, water, cystine, struvite Water pairs 7 CaOx, calcium, iodine, NaUrate, cystine, struvite, UA 14-Variable set Mean 40–140 keV † 11 NA Mean effective Z 1 NA Iodine pair 1 Water Water pair 1 Iodine

CaOx, calcium oxalate; HAP, hydroxyapatite; NA, not applicable; NaUrate, sodium urate; UA, uric acid.

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Figure 1, Image representation of material pair decomposition. ( a–c ) Images of a 5-mm struvite stone viewed as a 70-keV monochromatic image ( a ), calcium (uric acid) basis pair ( b ), and uric acid (calcium) basis pair ( c ). Components of the struvite stone are projected into both basis dimensions. ( d–f ) Images of 4-mm and 6-mm uric acid stones viewed as a 70-keV monochromatic image ( d ), calcium (uric acid) basis pair ( e ), and uric acid (calcium) basis pair ( f ). Components of uric acid stones are fully projected into the uric acid basis for complete separation.

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Table 2

Decision Models

Name and Description Parameters ANN (Artificial Neural Network):

A classifier that uses back-propagation to classify instances. Similar to human brain structure, an ANN comprises an interconnected network of nodes and directed links. L (learning rate): 0.3

M (momentum): 0.2

N (number of epochs): 500

V (percentage size of validation set): 0

S (seed for random number generator): 0

E (threshold for number of consecutive errors): 20

H (comma-separated numbers for nodes on each layer): derived number, which is the average of the numbers of attributes and classes SVM (Support Vector Machine):

A classification method that can effectively perform nonlinear classification by first mapping the input data into high-dimensional feature space and then using an optimum linear hyperplane to separate two sets of data in the feature space. This optimum hyperplane is constructed by maximizing the margin of the two sets. C (complexity constant): 1

L (tolerance parameter): 0.001

P (epsilon for round-off error): 1.0 × 10 −12

N (whether to 0 = normalize/1 = standardize/2 = neither): 0

V (number of folds for the internal cross-validation): −1 (default setting using training data)

W (random number seed): 1

K (kernel to use): weka.classifiers.functions.supportVector.PolyKernel C4.5 (Decision Tree):

A classification algorithm that constructs decision trees in a top-down, recursive, divide-and-conquer manner. In a decision tree, every leaf node has an assigned class label. Attribute test conditions are used to separate records having different characteristics in the nonterminal nodes, which consist of the root node and other internal nodes. Decision trees, especially smaller-sized trees, are relatively easy to interpret. C (confidence threshold for pruning): 0.25

M (minimum number of instances per leaf): 2 RandomTree:

A classification algorithm that constructs multiple decision trees randomly. To construct each tree, the algorithm randomly picks a remaining (not used in previous nodes) feature at each node expansion. Each tree outputs a class probability distribution. The final class distribution is the average of outputs from multiple trees. K (number of attributes to randomly investigate): 0

M (minimum number of instances per leaf): 1

S (seed for random number generator): 1 NBTree (Naïve Bayes Tree):

A classifier for generating a decision tree with Naïve Bayes classifiers at the leaves. The Naïve Bayes classifier is based on the Bayes rule of conditional probability. None

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Results

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Table 3

Accuracy Distinguishing UA from Non-UA Stones \*

32-Stone Dataset 24-Stone Dataset Method 52 Variables 14 Variables 52 Variables 14 Variables ANN 97%(31) 97%(31) 100%(24) 100%(24) SVM 97%(31) 97%(31) 100%(24) 100%(24) C4.5 91%(29) 94%(30) 96%(23) 96%(23) RandomTree 94%(30) 97%(31) 100%(24) 100%(24) NBTree 97%(31) 94%(30) 100%(24) 100%(24)

ANN, Artificial Neural Network; C4.5, Decision Tree; NBTree, Naïve Bayes Tree; SVM, Support Vector Machine; UA, uric acid.

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Figure 2, Box plot of the multiparametric accuracies for the five methods in distinguishing uric acid (UA) from non-UA stones. Note the limited scale of the y -axes (75%–100%). ( a ) 52 variables on 32-stone dataset ( best value ): Artificial Neural Network (ANN) ( 0.97 ), Support Vector Machine (SVM) ( 0.97 ), Decision Tree (C4.5) ( 0.91 ), RandomTree ( 0.94 ), and Naïve Bayes Tree (NBTree) ( 0.97 ). ( b ) 14 variables on 32-stone dataset: ANN ( 0.97 ), SVM ( 0.97 ), C4.5 ( 0.94 ), RandomTree ( 0.97 ), and NBTree ( 0.94 ). ( c ) 52 variables on 24-stone dataset: ANN ( 1 ), SVM ( 1 ), C4.5 ( 0.96 ), RandomTree ( 1 ), and NBTree ( 1 ). ( d ) 14 variables on 24-stone dataset: ANN ( 1 ), SVM ( 1 ), C4.5 ( 0.96 ), RandomTree ( 1 ), and NBTree ( 1 ). RandomTree is the recommended model for its perfomance and ease of clinical interpretation.

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Table 4

Accuracy Distinguishing Non-UA Stone Subtypes \*

18-Stone Dataset 12-Stone Dataset Method 52 Variables 14 Variables 52 Variables 14 Variables ANN 50%(9) 50%(9) 42%(5) 50%(6) SVM 44%(8) 44%(8) 42%(5) 42%(5) C4.5 33%(6) 39%(7) 33%(4) 33%(4) RandomTree 56%(10) 44%(8) 75%(9) 67%(8) NBTree 72%(13) 61%(11) 17%(2) 17%(2)

ANN, Artificial Neural Network; C4.5, Decision Tree; NBTree, Naïve Bayes Tree; SVM, Support Vector Machine; UA, uric acid.

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Figure 3, Box plot of the multiparametric accuracies for the five methods in distinguishing non-uric acid stone subtypes. ( a ) 52 variables on 18-stone dataset ( best value ): Artificial Neural Network (ANN) ( 0.5 ), Support Vector Machine (SVM) ( 0.44 ), Decision Tree (C4.5) ( 0.33 ), RandomTree ( 0.56 ), and Naïve Bayes Tree (NBTree) ( 0.72 ). ( b ) 14 variables on 18-stone dataset: ANN ( 0.50 ), SVM ( 0.44 ), C4.5 ( 0.39 ), RandomTree ( 0.44 ), and NBTree ( 0.61 ). ( c ) 52 variables on 12-stone dataset: ANN ( 0.42 ), SVM ( 0.42 ), C4.5 ( 0.33 ), RandomTree ( 0.75 ), and NBTree ( 0.17 ). ( d ) 14 variables on 12-stone dataset: ANN ( 0.50 ), SVM ( 0.42 ), C4.5 ( 0.33 ), RandomTree ( 0.67 ), and NBTree ( 0.17 ). RandomTree is the recommended model for its perfomance and ease of clinical interpretation.

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Discussion

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