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Computed Tomography Density Histogram Analysis to Evaluate Pulmonary Emphysema in Ex-smokers

Rationale and Objectives

High-resolution computed tomography (CT) measurements of emphysema typically use Hounsfield unit (HU) density histogram thresholds or observer scores based on regions of low x-ray attenuation. Our objective was to develop an automated measurement of emphysema using principal component analysis (PCA) of the CT density histogram.

Materials and Methods

Ninety-seven ex-smokers, including 53 subjects with chronic obstructive pulmonary disease (COPD) and 44 asymptomatic subjects (AEs), provided written informed consent to imaging as well as plethysmography and spirometry. We applied PCA to the CT density histogram to generate whole lung and regional density histogram principal components including the first and second components and the sum of both principal components (density histogram principal component score [D H P C S]). Significant relationships for D H P C S with single HU thresholds, pulmonary function measurements, an expert’s emphysema score, and hyperpolarized 3 He magnetic resonance imaging apparent diffusion coefficients (ADCs) were determined using linear regression and Pearson coefficients. Receiver operator characteristics analysis was performed using forced expiratory volume in 1 second (FEV 1 )/forced vital capacity (FVC) as the independent diagnostic.

Results

There was a significant difference ( P < .0001) between AE and COPD subjects for D H P C S; FEV 1 /FVC; diffusing capacity of lung for carbon monoxide %predicted ; attenuation values below −950, −910, and −856 HU; and 3 He ADCs. There were significant correlations for D H P C S with FEV 1 /FVC ( r = −0.85, P < .0001); diffusing capacity of lung for carbon monoxide %predicted ( r = −0.67, P < .0001); attenuation values below −950/−910/−856 HU ( r = 0.93/0.96/0.76, P < .0001); and 3 He ADCs ( r = 0.85, P < .0001). Receiver operator characteristics analysis showed a 91% classification rate for D H P C S.

Conclusions

We generated an automated emphysema score using PCA of the CT density histogram with a 91% COPD classification rate that showed strong and significant correlations with pulmonary function tests, single HU thresholds, and 3 He magnetic resonance imaging ADCs.

Pulmonary emphysema is defined as a “progressive condition of the lung characterized by abnormal and permanent enlargement of the airspaces distal to the terminal bronchioles, accompanied by the destruction of their walls, and without obvious fibrosis” . Currently, thoracic x-ray computed tomography (CT) is typically used to diagnose and evaluate the presence and extent of emphysema by exploiting the difference in x-ray attenuation of air and the lung parenchyma in Hounsfield units (HU). To facilitate computerized and automated analysis, the CT density histogram of all HU values is evaluated using a number of HU thresholds to generate the relative area (RA) of the lung occupied by attenuation values lower than specific thresholds and percentiles . Although such automated threshold-based measurements correlate well with manual radiologists’ emphysema scores , pulmonary function tests , and both microscopic and macroscopic measurements of emphysema , there is no definitive consensus regarding an optimal HU threshold for emphysema. Other quantification techniques such as low attenuation cluster analysis also use HU thresholds, and the validation of low attenuation cluster analysis with pathologic standards is still not completely understood . Indeed, although single HU threshold–based techniques are the most common methods to generate automated CT measurements of emphysema, lower HU thresholds differentiate more severe emphysematous regions , disregarding regions with mild tissue destruction. Conversely, higher HU thresholds identify mild emphysematous regions but underestimate severe tissue destruction. Another approach involves texture feature analysis that takes into account the spatial or regional relationships between image voxels and their densities; this has been used to characterize emphysema and centrilobular emphysema in combination with centrilobular nodularity from thoracic CT images.

Thoracic CT images acquired in lung cancer screening studies have also been used to study the relationship between emphysema and lung cancer. Lung cancer and emphysema share smoking as a risk factor with lung cancer risk models having identified emphysema as a strong cancer predictor. Thus, thoracic CT acquired in lung cancer screening trials may provide important information relevant to the study of the relationship between emphysema and airways disease with lung cancer . Recently, the direct relationship between emphysema and lung cancer was reported using manual expert radiologists’ scores , but this relationship was not significant when computer-generated single threshold methods were used . Although it is difficult to directly pinpoint the reason for these differences, it is possible that single threshold measurements might not take into account all the factors that a radiologist considers when scoring emphysema in thoracic CT.

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Materials and methods

Study Subjects

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Spirometry and Plethysmography

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Image Acquisition

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Density Histogram Principal Component Score (D H P C S)

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DHPCS=∑−500i=−1024RAiPCi D

H

P

C

S

=

i

=

1024

500

R

A

i

P

C

i

where RA is the relative area under the histogram curve for each HU value and PC is PC calculated from PCA analysis. The leave-one-out method was performed and all histograms except one were used as the training data for the calculation of PCs with the excluded histogram used as the test data. Indeed, we excluded a single histogram and PCs were generated using the 96 remaining histograms. The D H P C scores were calculated for the training data-set based on Equation 1 and, therefore, the derived PCs were dependent on the cohort of 96 histograms. This process was repeated for all subject histograms.

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Figure 1, Schematic representation of method. (a) Representative density histograms for asymptomatic subjects (AE) ( solid line ) and chronic obstructive pulmonary disease (COPD) subjects ( dashed lines ) with thresholds ( dotted lines ) of −950, −910, and −856 HU and percentile (15th) of the distribution of attenuation coefficients. (b) Principal components (PC) generated by PC analysis with the first PC ( dashed line ), the second PC ( dotted line ), and the sum of both PCs ( solid line ). (c) Representative density histograms for AE ( solid line ) and COPD subjects ( dashed lines ) and the sum of both PCs ( dotted line ).

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CT Density Histogram Threshold Measurements

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Expert Observer Emphysema Quantification

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EmpyesemaScore=4×∑ni=1(ESL+ESR)n×8 Empyesema

Score

=

4

×

i

=

1

n

(

E

S

L

+

E

S

R

)

n

×

8

where ES__L and ES__R are the left and right lung emphysema scores in each of n slices, respectively.

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Statistical Analysis

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Results

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Table 1

Subject Demographics and Emphysema Measurements

Asymptomatic Ex-smokers (AE) ( n = 44) COPD ( n = 53) Significance of Difference ( P Value) Age (y [range]) 70 (8) [50–85] 71 (9) [48–87] .825 Males 28 37 Pack-years 26 (19) 48 (31) ∗ <.0001 FEV 1%pred 103 (14) 61 (23) <.0001 FEV 1 /FVC 0.81 (0.06) 0.49 (0.13) <.0001 IC %pred 109 (21) 87 (25) <.0001 RV %pred 101 (26) 154 (41) <.0001 FRC %pred 95 (19) 138 (31) <.0001 TLC %pred 99 (19) 116 (15) <.0001 DL co %pred † 76 (18) 51 (18) <.0001 D H P C S −4.32 (0.75) −0.61 (2.68) <.0001 Emphysema score ‡ 0.08 (0.15) 1.13 (0.79) <.0001 RA 950 (%) 1.45 (1.09) 12.56 (10.26) <.0001 RA 910 (%) 9.80 (6.26) 34.19 (15.37) <.0001 RA 856 (%) 39.00 (14.60) 64.24 (13.47) <.0001 HU 15% −893 (19) 939 (26) <.0001 3 He ADC § 0.27 (0.03) 0.43 (0.12) <.0001

FEV 1 , forced expiratory volume in 1 second; FVC, forced vital capacity; IC, inspiratory capacity; RV, residual volume; FRC, functional residual capacity; TLC, total lung capacity; DL co , diffusing capacity of lung for carbon monoxide; D H P C S, density histogram principal component score; emphysema score, subjective scoring of emphysema by an expert chest radiologist; RA 950 , relative area of the lung with attenuation values below −950 HU; RA 910 , relative area of the lung with attenuation values below −910 HU; RA 856 , relative area of the lung with attenuation values below −856 HU; HU 15 , 15th percentile of the frequency distribution histogram in HU; ADC, apparent diffusion coefficient; %pred, %predicted.

Data are presented as mean (± standard deviation).

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Figure 2, Coronal center slice 3 He apparent diffusion coefficient (ADC) maps, computed tomographic images, and relative area (RA) masks for HU thresholds. Emphysema masks for −950, −910, and −856 HU for representative asymptomatic subjects (AE) and subjects with chronic obstructive pulmonary disease Global Initiative for Chronic Obstructive Lung Disease (GOLD) stages I, II, III, and IV.

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Figure 3, Whole lung and regional density histogram principal component score (D H P C S) for asymptomatic subjects (AE) and chronic obstructive pulmonary disease (COPD) subjects. (a) Whole lung box-and-whisker plot of D H P C S for AE and COPD subjects showing the 25th to 75th percentile range ( boxes ), ranges ( bars ), and median value ( solid line ). (b) Box-and-whisker plots for D H P C S for superior, medial, and inferior lung regions of interest. (c) Receiver operating characteristic (ROC) curve for D H P C S, expert emphysema score (ES), relative area for values below −950 HU (RA 950 ) (%), and 3 He apparent diffusion coefficient (ADC) as predictors of COPD. The areas under the curve were 0.91 (D H P C S), 0.94 (expert emphysema score), 0.91 [RA 950 (%)], and 0.93 ( 3 He ADC). *Significant difference, P < .01.

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Figure 4, Significant correlations for whole lung density histogram principal component score (D H P C S) and emphysema measurements. Linear regressions for (a) forced expiratory volume in 1 second/forced vital capacity (FEV 1FVC) ( r = −0.85, P < .0001), (b) diffusing capacity of lung for carbon monoxide (DL co %) ( r = −0.67, P < .0001), (c) emphysema score ( r = 0.87, P < .0001), (d) 3 He apparent diffusion coefficient (ADC) ( r = 0.85, P < .0001), (e) relative area of the lung with attenuation values below −950 HU (RA 950 ) ( r = 0.93, P < .0001), relative area of the lung with attenuation values below −910 HU (RA 910 ) ( r = 0.96, P < .0001), relative area of the lung with attenuation values below −856 HU (RA 856 ) ( r = 0.76, P < .0001), and (f) 15th percentile of the frequency distribution histogram in HU (HU 15% ) ( r = −0.87, P < .0001). The 95% confidence intervals are shown as dotted lines .

Table 2

Pearson Correlation Coefficients ∗

D H P C S PC 1 PC 2 Emphysema score 0.87 0.69 0.51 RA 950 0.93 0.74 0.63 RA 910 0.96 0.95 0.35 RA 856 0.76 0.98 NS HU 15% −0.87 −0.92 −0.22 3 He ADC 0.85 0.68 0.54 FEV 1 /FVC −0.85 −0.82 −0.33 DL co %pred −0.67 −0.59 −0.34

D H P C S, density histogram principal component score based on the summation of both first and second principal components; PC 1 , D H P C S using the first principal component; PC 2 , D H P C S using the second principal component; RA 950 , relative area of the lung with attenuation values below −950 HU; RA 910 , relative area of the lung with attenuation values below −910 HU; RA 856 , relative area of the lung with attenuation values below −856 HU; HU 15 , 15th percentile of the frequency distribution histogram in HU; ADC, apparent diffusion coefficient; FEV 1 , forced expiratory volume in 1 second; FVC, forced vital capacity; DL co , diffusing capacity of lung for carbon monoxide; NS, not significant; %pred, %predicted.

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Table 3

Significant Differences between Pearson Correlation Coefficients for D H P C S and Other Emphysema Measurements

D H P C S PC RA 950 RA 910 RA 856 HU 15% 3 He ADC FEV 1 /FVC DL co %pred Emphysema score 0.31 0.0005 0.27 1 1 1 0.006 RA 950 0.54 0.0001 0.33 0.09 0.09 0.0001 RA 910 <0.0001 0.0006 0.0001 0.0001 0.0001 RA 856 0.29 0.75 0.67 1 HU 15% 1 1 0.006 3 He ADC 1 0.04 FEV 1 /FVC 0.04

D H P C S, density histogram principal component score based on the summation of both first and second principal components; PC 1 RA 950 , relative area of the lung with attenuation values below −950 HU; RA 910 , relative area of the lung with attenuation values below −910 HU; RA 856 , relative area of the lung with attenuation values below −856 HU; HU 15 , 15th percentile of the frequency distribution histogram in HU; ADC, apparent diffusion coefficient; FEV 1 , forced expiratory volume in 1 second; FVC, forced vital capacity; DL co , diffusing capacity of lung for carbon monoxide; NS, not significant; %pred, %predicted.

Pearson correlation coefficients for the relationship between D H P C S and other emphysema measures were compared using Fisher’s z transformation; P values after Holm-Bonferroni correction.

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Discussion

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Acknowledgments

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