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* From the Division of Diagnostic Radiology (Drs. Tateishi, Yonemori, Satake, and Arai), National Cancer Center Hospital, Tokyo, Japan; the Department of Biostatistics (Dr. Uno), Harvard School of Public Health, Boston, MA; and the Division of Biostatistics (Takeuchi), Kitasato University Graduate School, Tokyo, Japan.
Correspondence to: Ukihide Tateishi, MD, PhD, Division of Diagnostic Radiology, National Cancer Center Hospital, Tsukiji, Chuo-Ku, 104-0045, Tokyo, Japan; e-mail: utateish{at}ncc.go.jp
| Abstract |
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Methods: CT scan images were obtained in 288 consecutive patients with adenocarcinoma of the lung before surgical resection. Total tumor volume, the volume of the nonsolid component, and the proportion occupied by the nonsolid component were calculated by the perimeter method. The performance of the derived logistic regression model and the volumetric results were evaluated by receiver operating characteristic analysis. The model derived for the prediction of tumors without vessel invasion was assessed by means of the leave-one-out cross-validation technique.
Results: The pathologic diagnosis was adenocarcinoma with vessel invasion in 160 cases, and without vessel invasion in 128 cases. The median total tumor volume, the median volume of the nonsolid component, and median proportion occupied by the nonsolid component were 1,123.7 mm3, 253.4 mm3, and 58.0%, respectively. With the derivation of the predictive rule, stepwise regression yielded the following five features: the proportion occupied by the nonsolid component; spiculation; pleural indentation; gender; and tumor size. The Az value, a measure of diagnostic power represented as the area under the curve, was 0.957 for prediction of lung adenocarcinoma without vessel invasion. The cross-validation accuracy achieved by applying the rule was 90.3%.
Conclusions: The proportion occupied by the nonsolid component based on a CT scan volumetric analysis was a reliable predictor of tumors without vessel invasion in patients with adenocarcinoma of the lung.
Key Words: CT scan lung lung cancer
| Introduction |
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The reliability of almost all data on the proportion occupied by the nonsolid component is limited, because the investigators assumed that the lesions were spherical and used the maximum cross-sectional diameter on CT scan images to calculate it,56 and the only large series to date used the maximum cross-sectional area of the tumor to predict invasion.11 To our knowledge, few studies have used CT scanning to calculate the volume of the nonsolid component within tumors and to correlate the proportion occupied by the nonsolid component with pathologic characteristics of tumor invasion. Moreover, most studies to date have proposed diagnostic criteria for lesions without testing their diagnostic validity.67891011
We therefore conducted both a derivation and validation cohort study of patients with adenocarcinoma of the lung in order to predict tumors without vessel invasion. Our results will assist physicians in estimating more accurately the probability of a tumor being unassociated with vessel invasion and to decide whether further investigation is necessary to rule the presence of a noninvasive tumor in or out.
| Materials and Methods |
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CT scanning was performed with a multidetector scanner (Aquilion V-detector; Toshiba Medical Systems; Tokyo, Japan) by using axial 2.0-mm x 4 or 1.0-mm x 16 modes (ie, 4 or 16 images per gantry rotation), 120 kVp, 200 to 250 mA, and a 0.5-s scanning time. Thin-section CT scan images were obtained using 2.0-mm sections that were reconstructed at 2.0-mm intervals by means of a high-spatial frequency algorithm and were retrospectively retargeted to each lung with a 20-cm field of view. All images were displayed at window settings for lung (center, 600 Hounsfield units; width, 2,000 Hounsfield units). Image viewing and manipulation were controlled with a workstation (ZIOSOFT M900, Quadra, version 3.10f; ZIOSoft Inc; Tokyo, Japan) that allows the reader to draw lines through regions of interest and the perimeters around them.
The CT scan images were assessed in random order by two independent observers without reference to the clinical findings. The observers examined the images for the following: maximum tumor diameter; nodular edge (irregular or not); presence of a nonsolid component; presence of an air-bronchogram; presence of cavitation, lobulation, pleural indentation, bubble-like lucencies, spiculation, vascular convergence, bronchiectasis, or bronchiolectasis; and the lobe in which the lesion was located (eg, upper, middle, or lower). Nonsolid component was defined as an area of ground-glass attenuation or hazy increased parenchymal attenuation without obscuring of the underlying vascular markings. We distinguished between nonsolid tumors and part-solid tumors, with the former being defined as tumors containing only a nonsolid component, and the latter as tumors that contained a partially solid component. Bubble-like lucencies were diagnosed when there were multiple cystic air spaces measuring
5 mm in diameter within the lesion surrounded by a wall of variable thickness.13 After an initial independent evaluation, the two observers reviewed all cases in which their interpretations disagreed and reached a final decision by consensus.
The volume of each tumor was calculated by the perimeter method.141516 The cross-sectional areas of the entire tumor and of the solid component were calculated by a workstation that manipulates a voxel matrix of 512 x 512 pixels. Two board-certified radiologists who were experienced with image-viewing and image-manipulation software drew a line around the perimeter of each tumor twice. The total tumor volume and the volume of the solid component were calculated by summing the cross-sectional areas and multiplying by the section increment. The volume of the nonsolid component was calculated by subtracting the volume of the solid component from the total volume. The averages of the two volume values calculated by each of the two observers were used in the analyses.
Statistical Analysis
Interobserver variation in relation to CT scan findings was quantified as the weighted
coefficient of agreement. The predictive performance of volumetric data was evaluated by receiver operating characteristic (ROC) analysis, and the areas under curve were represented by the Az values, which are a measure of diagnostic power represented by the area under the curve.1718 A stepwise procedure was used in the logistic regression analysis to select the independent variables that should have been included in the model to predict tumors without vessel invasion. A variable was entered into the model if the probability of its score statistic was < 0.05. The odds ratio (OR) and 95% confidence interval (CI) for the multivariate predictors were estimated. The Hosmer-Lemeshow test was also performed to evaluate goodness-of-fit.19 Calibration curves comparing the observed proportion of tumors without vessel invasion with the probability of tumors without vessel invasion ordered by the increasing probability of tumors without vessel invasion were constructed. The performance of the learned model was verified by using the leave-one-out cross-validation method, in which all cases but one were used to train the prediction rule, which was then applied to the single excluded case.202122 This procedure was repeated for each case, until each case had been left out only once. Cross-validation accuracy was calculated by comparing the predicted response and the observed response.23 The following variables were considered for their prognostic value: age; gender; presence or absence of vessel invasion; tumor size; total tumor volume; the volume of the nonsolid component; the proportion occupied by the nonsolid component; and CT scan findings. Univariate analysis was performed by comparing Kaplan-Meier disease-free or recurrence-free survival curves and carrying out log-rank tests. All analyses were conducted using a statistical software package (SAS, version 8.2; SAS Institute, Cary, NC; and R software, version 1.9.0; R project, Center for Computational Intelligence; Vienna, Austria).
| Results |
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coefficient, 0.63 to 0.79). The following CT scan findings were more frequently identified in tumors with vessel invasion than in tumors without vessel invasion according to the univariate analysis: cavitation; air bronchogram; irregular margin; speculation; lobulation; and bronchiectasis or bronchiolectasis. Irregular margins were common in tumors without vessel invasion but were more frequent in tumors with vessel invasion. Vascular convergence was a less common finding and was noted only in patients with tumors that were associated with vessel invasion. Bubble-like lucencies were observed in one tumor with vessel invasion and in one tumor without vessel invasion.
Volumetric Analysis
The results of the volumetric analysis are summarized in Table 2 . The median total tumor volume, the median volume of the nonsolid component, and the median proportion occupied by the nonsolid component were 1,123.7 mm3 (range, 43.6 to 6,912.2 mm3), 253.4 mm3 (range, 0 to 6,593.4 mm3), and 58.0% (range, 0 to 100%), respectively. Significant differences were found between the mean values for total volume and the proportion values in two groups. The ROC analyses to predict tumors without vessel invasion revealed that Az values of total tumor volume, the volume of the nonsolid component, and the proportion occupied by the nonsolid component were 0.699 (95% CI, 0.638 to 0.760), 0.714 (95% CI, 0.653 to 0.775), and 0.928 (95% CI, 0.895 to 0.961), respectively (Fig 1
). The potential predictors of tumors without vessel invasion at the threshold of each median value were as follows: total tumor volume; the volume of the nonsolid component; and the proportion occupied by the nonsolid component (Table 3
). Univariate analysis showed that our predictor of interest, the proportion occupied by the nonsolid component, was highly predictive of tumors without vessel invasion at an OR of 42.8 (95% CI, 21.6 to 84.8) with 80.0% as the threshold value.
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2, 3.6563; degrees of freedom, 8; p = 0.89) indicated that the observed proportion of patients with tumors without vessel invasion was similar to the predicted proportion in the derivation group. The calibration curves for the derivation data demonstrated good calibration of the prediction rule.
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Prognostic Analysis
At the last follow-up, 1 of the 288 patients (0.3%) had died, 12 patients (4.2%) were alive with recurrent disease, and the 5-year overall survival rate was 98.7%. Univariate analysis revealed that none of the variables had a significant impact on overall survival. The 5-year recurrence-free survival rate was 83.5%. The patients with tumors without vessel involvement had a 5-year recurrence-free rate of 88.0%, which was significantly better than the rate of 74.6% among the patients with vessel invasion (p < 0.05). Cavitation and vascular convergence were significantly associated with recurrence-free survival according to the univariate analysis (p < 0.01).
| Discussion |
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We performed ROC analysis to assess the ability of the proportion occupied by the nonsolid component to discriminate between tumors with and without vessel invasion. We have documented that the diagnostic probability of the proportion occupied by the nonsolid component for tumors without vessel invasion is accurate. The Az value observed for the proportion occupied by the nonsolid component was 0.957. In our study population, its discriminatory capacity yielded positive and negative predictive values for tumors without vessel invasion of 89.7% and 90.7%, respectively. These observations suggest that the identification of the proportion occupied by the nonsolid component on CT images may be useful for predicting tumors without vessel invasion in patients with adenocarcinoma of the lung.
At both baseline screenings and repeat CT screenings for lung cancer, tumors containing a nonsolid component have been found to be a significant sign of malignancy.24 Henschke and colleagues25 found that 19% of the 233 cases with positive results at baseline screening had a tumor with the nonsolid component and that the tumors were predominantly bronchioloalveolar carcinoma and adenocarcinoma with bronchioloalveolar carcinoma features. These predominant histologic types of malignancy corresponded to noninvasive and invasive tumors of lung adenocarcinoma. The quantification of the extent or growth rate of the solid and nonsolid components of tumors is necessary during CT scan screening for lung cancer.
Swensen and colleagues18 created a multivariate logistic regression model to predict a malignant solitary pulmonary nodule (SPN) in a derivation and validation analysis. Of 629 radiologically intermediate nodules in their study, 23% were malignant SPNs. The investigators identified the following three independent findings that predicted malignant SPNs: upper lobe distribution; tumor size; and spiculation. Among these findings, spiculation was associated with the prediction model in our results. Pleural indentation and male predilection were also significant predictors of tumors with vessel invasion in our study.
Some studies262728 using the segmentation algorithm of software have yielded calculations of tumor volume in three dimensions. The excellent interobserver variability suggests that tumor volume estimations by different observers can be reliably compared when three-dimensional volumetric software is used. However, this technique does not enable the segmentation of tumors that contain a nonsolid component.2728 Since most tumors in our study contained a nonsolid component and were not appropriate for three-dimensional volumetric analysis, tumor volume was calculated by the perimeter method, which had potential sources of error that affected the results of volumetric analyses.29
The proportion occupied by the nonsolid component was dichotomized using the median value for a threshold level in the univariate and multivariate analyses performed. In both the univariate and multivariate analyses, the proportion occupied by the nonsolid component yielded the highest point estimates and CIs for the ORs of tumors without vessel invasion. However, it should be noted that there was enough of a difference between the values for patients in whom the nonsolid component occupied a high proportion of the tumor and those for patients in whom the nonsolid component occupied a small proportion of the tumor that similar results could have been obtained with different threshold values.
There are other potential limitations of this study. The size of the sample may also have led to false-positive results because of the number of covariates included in the initial analysis. However, the strength of the association with our primary outcome of interest, as well as the historical precedence of other significant predictors in our multivariate analysis, lends credence to our conclusions. In summary, the results of our study confirm that the proportion occupied by the nonsolid component of a tumor on CT scans is a reliable predictor of tumors without vessel invasion with much greater confidence than was possible in the past.
| Footnotes |
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Dr. Uno received support for this research by Banyu Life Science Foundation International.
Received for publication January 12, 2005. Accepted for publication May 4, 2005.
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