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Density Features of Screened Lung Tumors in Low-Dose Computed Tomography

Rationale and Objectives

Using low-dose computed tomography (LDCT), small and heterogeneous lung tumors are detected in screening. The criteria for assessing detected tumors are crucial for determining follow-up or resection strategies. The purpose of this study was to investigate the capacity of density features in differentiating lung tumors.

Materials and Methods

From July 2008 to December 2011, 48 surgically confirmed tumors (29 malignancies, comprising 17 cases of adenocarcinoma and 12 cases of adenocarcinoma in situ [AdIs], and 19 benignancies, comprising 11 cases of atypical adenomatous hyperplasia [AAH] and eight cases of benign non-AAH) in 38 patients were retrospectively evaluated, indicating that the positive predictive value (PPV) of physicians is 60.4% (29/48). Three types of density features, tumor disappearance rate (TDR), mean, and entropy, were obtained from the CT values of detected tumors.

Results

Entropy is capable of differentiating malignancy from benignancy but is limited in differentiating AdIs from benign non-AAH. The combination of entropy and TDR is effective for predicting malignancy with an accuracy of 87.5% (42/48) and a PPV of 89.7% (26/29), improving the PPV of physicians by 29.3%. The combination of entropy and mean adequately clarifies the four pathology groups with an accuracy of 72.9% (35/48). For tumors with a mean below −400 Hounsfield units, the criterion of an entropy larger than 5.4 might be appropriate for diagnosing malignancy. For others, the pathology is either benign non-AAH or adenocarcinoma; adenocarcinoma has a higher entropy than benign non-AAH, with the exception of tuberculoma.

Conclusions

Combining density features enables differentiating heterogeneous lung tumors in LDCT.

The advent of low-dose computed tomography (LDCT) has altered the landscape of lung cancer screening because of its capability of detecting tumors at early stages . The use of LDCT is particularly necessary for clinical applications in population-based screening and follow-up examinations because the risk of cancer caused by diagnostic X-ray-based examinations can thereby be reduced . Thin-section CT is also critical because it depicts realistic tumor characteristics , improves the probability of detecting small nodules , and identifies true calcification in subcentimeter nodules . However, the image quality is determined by the interaction between the radiation dose and slice thickness . Thin-section CT has the advantage of depicting realistic characteristics for tumor assessment, but a high radiation exposure is necessary for improving the image quality. The limitation of radiation exposure sacrifices the CT image quality acquired using the low-dose and thin-section protocol . Thus, the assessment of aggressive and heterogeneous tumors has become a challenge because interpretation is subjective, resulting in poor interobserver agreement regarding LDCT images of inferior quality, low tissue contrast, and high noise ratio.

The tumor disappearance rate (TDR) is a simple method that assesses a lung tumor by comparing tumor sizes in a two-window (lung and mediastinal) setting . In each setting, the tumor size is measured according to the maximum diameter or the approximate area, which is the product of the maximum diameter and the perpendicular diameter. The TDR has been reported to correlate with clinical histopathology and conveys an independent prognostic factor . The TDR could also be used to evaluate the presence a high–CT attenuation component in the tumor. Based on the presence or absence of high-attenuation components, tumors can be classified into three categories: pure ground-glass opacity (GGO), partial-solid, and solid. In CT screening for lung cancer, the detected nodules are frequently partial-solid or non-solid, which are more likely to be malignant than those that are solid .

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Materials and methods

Patients

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Table 1

Characteristics of Enrolled Patients

Characteristics Benign Non-AAH AAH AdIs AdCa Single/multiple lesions 2/6 5/6 8/4 17/0 Tumor size Minimum diameter (mm) 5.13 4.04 6.15 7.16 Maximum diameter (mm) 15.58 12.02 14.20 17.65 Mean ± SD 8.96 ± 3.25 7.35 ± 2.25 10.42 ± 2.46 12.00 ± 3.41 Male/female 3/2 3/6 3/8 9/8 Age (years) 50.80 ± 8.67 49.00 ± 10.90 48.27 ± 11.62 58.29 ± 9.69

AAH, atypical adenomatous hyperplasia; AdCa, adenocarcinoma; AdIs, adenocarcinoma in situ; SD, standard deviation.

Thirty-two patients have single lesion and six patients have multiple lesions.

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CT Screening Protocol

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Target Tumor Identification

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Figure 1, Three examples show the details of tumor identification, using our computer-aided diagnosis software. E1: A tuberculoma with solid characteristics. E2: An adenocarcinoma in situ tumor with partial-solid characteristics. E3: An AdIs tumor with pure ground-glass opacity (GGO) characteristics. C1: region of interest (ROI). C2: A histogram showing the distribution of computed tomography (CT) values of the ROI, with the corresponding threshold selected using Otsu's method, indicated by the red line . C3: The foreground objects ( orange ). C4: A relief map constructed from C3. Gray intensity pixels indicate the distance from each pixel to the closest boundary between foreground and background objects. C5: The result of the watershed transform performed on C4. C6: For a partial-solid or pure GGO tumor, the largest foreground object detected by the watershed transform is eliminated from the ROI. A new binarized threshold was derived from the CT numbers of the remaining pixels. C7: The tumor identified using the new threshold. For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.

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Computerized Features

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TDRArea=(1−(AreaMAreaL))×100%, TDR

Area

=

(

1

(

Area

M

Area

L

)

)

×

100

%

,

TDRPerimeter=(1−(PerMPerL))×100%, TDR

Perimeter

=

(

1

(

Per

M

Per

L

)

)

×

100

%

,

TDRMaxD=(1−(MDMMDL))×100%, TDR

MaxD

=

(

1

(

MD

M

MD

L

)

)

×

100

%

,

TDRMaxDPerD=(1−(MDM×PDMMDL×PDL))×100%. TDR

MaxDPerD

=

(

1

(

MD

M

×

PD

M

MD

L

×

PD

L

)

)

×

100

%

.

Figure 2, Computerized tumor disappearance rate (TDR) features. (a) The original image. (b,c) The area, perimeter, maximum diameter, and perpendicular diameter of an identified tumor were computed and regarded as the tumor size measured in the lung window. (d) In the region of the identified tumor, the pixels with computed tomography values below −140 Hounsfield units were deleted from the tumor, as shown in the mediastinal window. (e,f) The area, perimeter, maximum diameter, and perpendicular diameter of the modified tumor were computed and regarded as the tumor size measured in the mediastinal window. (g) The difference between the identified tumor and the modified tumor. The TDR features were therefore computed using the tumor sizes measured in the two-window setting.

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Mean=Σ(x,y)intumorI(x,y)N Mean

=

Σ

(

x

,

y

)

in

tumor

I

(

x

,

y

)

N

where I ( x , y ) represents the HU value at pixel ( x , y ), and N indicates the number of pixels in the identified tumor.

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B1=[lowboundofCTvalue,C1),Bi=[Ci,Ci+1),i=1,2…,M−2,andBM=[CM−1,upperboundofCTvalue). B

1

=

[

low

bound

of

CT

value,

C

1

)

,

B

i

=

[

C

i

,

C

i

+

1

)

,

i

=

1

,

2

,

M

2

,

and

B

M

=

[

C

M

1

,

upper

bound

of

CT

value

)

.

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P(Bi)=PiN P

(

B

i

)

=

P

i

N

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Entropy=−ΣP(Bi)logP(Bi) Entropy

=

Σ

P

(

B

i

)

log

P

(

B

i

)

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Statistical Methods

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Results

Tumor Sizes in Differentiating Tumor Types

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Table 2a

The Significance of the Difference between Any Two Tumor Types on Tumor Diameter

MD L Benign Non-AAH AAH AdIs AdCa Benign non-AAH .708 .755 .135 AAH .708 .114 .002 AdIs .755 .114 .569 AdCa .135 .002 .569

AAH, atypical adenomatous hyperplasia; AdCa, adenocarcinoma; AdIs, adenocarcinoma in situ; MD L , maximum diameter in the lung window.

Table 2b

The Significance of the Difference between Any Two Tumor Types on the Diameter of the Solid Component

MD M Benign Non-AAH AAH AdIs AdCa Benign non-AAH .006 .005 .989 AAH .006 1 <.001 AdIs .005 1 <.001 AdCa .989 <.001 <.001

AAH, atypical adenomatous hyperplasia; AdCa, adenocarcinoma; AdIs, adenocarcinoma in situ; MD M , maximum diameter in the mediastinal window.

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Correlations for Computerized TDR Features

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Capacity of Individual Density Features to Enable Discriminating Malignancy from Benignancy

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Figure 3, Box plots for comparing the density features between malignancy and benignancy in a-f. TDR, tumor disappearance rate; MaxD, maximum diameter; MaxDPerD, product of maximum diameter and perpendicular diameter; circle, an outlier is farther than 1.5 interquartile ranges and closer than 3 interquartile ranges.

Figure 4, The capacity of density features and computer-aided diagnosis (CAD) systems for predicting malignancy. (a) The Az values of each density feature were 0.904 for entropy, 0.579 for mean, 0.475 for TDR Area , 0.456 for TDR Perimeter , 0.465 for TDR MaxD , and 0.452 for TDR MaxDPerD . (b) The Az values of initial and verified CAD systems are 0.955 and 0.913, respectively. MaxD, maximum diameter; MaxDPerD, product of maximum diameter and perpendicular diameter; ROC, receiver operating characteristics; TDR, tumor disappearance rate.

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Individual Density Feature Ability for Discriminating Histopathology

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Figure 5, The measurements of the TDR Area feature are divided into 11 intervals to classify tumors. In each interval, the tumors are further shown according to the pathology. The first interval, the leftmost end of the tumor disappearance rate (TDR) axis, indicates no tumor with a TDR Area ranged between 0% and 9%. The second interval shows an adenocarcinoma tumor with a TDR Area ranging between 10% and 19%. The last interval, the rightmost end of the TDR axis, indicates 27 tumors with a TDR Area of 100%, including one benign non–atypical adenomatous hyperplasia (AAH), 11 AAH, 12 adenocarcinoma in situ (AdIs), and three adenocarcinoma (AdCa).

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Figure 6, Box plots for comparing the density features of the four-type histopathology in a-f. AAH, atypical adenomatous hyperplasia; AdCa, adenocarcinoma; AdIs, adenocarcinoma in situ; MaxD, maximum diameter; MaxDPerD, product of maximum diameter and perpendicular diameter; TDR, tumor disappearance rate; circle, an outlier is farther than 1.5 interquartile ranges and closer than 3 interquartile ranges; asterisk, an outlier is farther than 3 interquartile ranges.

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Figure 7, Scattering of the four-category histopathology of lung tumors on the plane constructed using mean and entropy. For each type of tumor, the 95% confidence interval (CI) of the group mean was bounded by a rectangle . AAH, atypical adenomatous hyperplasia; AdCa, adenocarcinoma; AdIs, adenocarcinoma in situ.

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Computer-aided Diagnosis in Predicting Malignancy and in Classifying Histopathology

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P(lungcancer)=11+e−(8.568×Entropy+0.04TDRPerimeter−50.617). P

(

lung

cancer

)

=

1

1

+

e

(

8.568

×

Entropy

+

0.04

TDR

Perimeter

50.617

)

.

Table 3

Prediction Model Determines the Probability of Lung Cancer for Tumors Detected in LDCT

Predictor Variable_P_ Value Beta Coefficient Entropy .002 5259.924 TDR Perimeter .010 1.041 Constant .002 0

LDCT, low-dose computed tomography; TDR, tumor disappearance rate.

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Discussion

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Conclusion

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Acknowledgments

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