Mammographic density assessed at full-field digital mammography by using Breast Imaging Reporting and Data Systems (BI-RADS) classification and semiautomatic and fully automatic computer-assisted methods was significantly associated with breast cancer risk; radiologist-assigned BI-RADS density categorization was as accurate as computer-assisted methods for discrimination of patients with breast cancer from control subjects.
Abstract
Purpose
To compare three metrics of breast density on full-field digital mammographic (FFDM) images as predictors of future breast cancer risk.
Materials and Methods
This institutional review board–approved study included 125 women with invasive breast cancer and 274 age- and race-matched control subjects who underwent screening FFDM during 2004–2013 and provided informed consent. The percentage of density and dense area were assessed semiautomatically with software (Cumulus 4.0; University of Toronto, Toronto, Canada), and volumetric percentage of density and dense volume were assessed automatically with software (Volpara; Volpara Solutions, Wellington, New Zealand). Clinical Breast Imaging Reporting and Data System (BI-RADS) classifications of breast density were extracted from mammography reports. Odds ratios and 95% confidence intervals (CIs) were estimated by using conditional logistic regression stratified according to age and race and adjusted for body mass index, parity, and menopausal status, and the area under the receiver operating characteristic curve (AUC) was computed.
Results
The adjusted odds ratios and 95% CIs for each standard deviation increment of the percentage of density, dense area, volumetric percentage of density, and dense volume were 1.61 (95% CI: 1.19, 2.19), 1.49 (95% CI: 1.15, 1.92), 1.54 (95% CI: 1.12, 2.10), and 1.41 (95% CI: 1.11, 1.80), respectively. Odds ratios for women with extremely dense breasts compared with those with scattered areas of fibroglandular density were 2.06 (95% CI: 0.85, 4.97) and 2.05 (95% CI: 0.90, 4.64) for BI-RADS and Volpara density classifications, respectively. Clinical BI-RADS was more accurate (AUC, 0.68; 95% CI: 0.63, 0.74) than Volpara (AUC, 0.64; 95% CI: 0.58, 0.70) and continuous measures of percentage of density (AUC, 0.66; 95% CI: 0.60, 0.72), dense area (AUC, 0.66; 95% CI: 0.60, 0.72), volumetric percentage of density (AUC, 0.64; 95% CI: 0.58, 0.70), and density volume (AUC, 0.65; 95% CI: 0.59, 0.71), although the AUC differences were not statistically significant.
Conclusion
Mammographic density on FFDM images was positively associated with breast cancer risk by using the computer assisted methods and BI-RADS. BI-RADS classification was as accurate as computer-assisted methods for discrimination of patients from control subjects.
© RSNA, 2016
Introduction
Mammographic density refers to the opacity or white areas on a mammogram that represent parts of the breast containing large amounts of epithelial and stromal tissue relative to adipose tissue (1,2). The association between mammographic density and breast cancer risk was established in studies (3,4) in which investigators used film mammography. Estimated odds ratios ranged from 2.9 to 6.0, with the highest density categories compared with the lowest, and were approximately 1.5 for each standard deviation increment of mammographic density in studies of film mammograms (5).
Film mammography has been replaced with full-field digital mammography (FFDM) in recent years. Both film mammography and FFDM use x-rays to produce an image of the breast, which is saved directly on film or as digital data, respectively. In FFDM, there are two types of images: raw and processed. Raw images directly reflect x-ray absorption by the imaging detectors, which is processed by using the manufacturers’ proprietary algorithms to improve the aesthetics and conspicuity of cancer on the processed images (6). If density is to be used for risk assessment at FFDM, the performance of different density estimation methods to predict breast cancer at FFDM must be evaluated.
Several measures of breast density have been developed. The American College of Radiology’s Breast Imaging Reporting and Data System (BI-RADS) has four qualitative breast density categories: almost entirely fatty, scattered areas of fibroglandular density, heterogeneously dense, and extremely dense (7,8). A BI-RADS density classification is assigned by the radiologist on the basis of visual inspection of the image. The most common quantitative measurement software, Cumulus (University of Toronto, Toronto, Canada) (9,10), uses semiautomated, user-interactive thresholding of the image to estimate the percentage of breast area that is dense tissue. Cumulus is limited by intra- and interreader variability in establishing a threshold for segmenting dense tissue from surrounding fat, and the process of measuring density with this method is labor intensive and time consuming. Nonetheless, Cumulus is regarded as the reference standard for predicting breast cancer risk on the basis of quantitative assessment of digitized film mammograms (11).
The Cumulus method uses two-dimensional images of the breast; thus it is limited because breast density is three-dimensional and potentially variable in appearance on two-dimensional mammograms due to differences in compression and projection angle (12). A measure that allows estimation of the volume of fibroglandular tissue relative to the total breast is expected to enhance the association between breast cancer and breast density. Volpara (Volpara Solutions, Wellington, New Zealand) is a commercial product recently developed to provide automated volumetric measurements of breast density. Volpara also uses an algorithm approved by the U.S. Food and Drug Administration to produce density classifications similar to those in the fourth edition of the BI-RADS manual.
The relationship of mammographic density to breast cancer risk may vary depending on the measurement method. To our knowledge, few studies have been performed to compare the association between density estimated by using different methods for processing FFDM images and breast cancer risk (10,13,14). The objective of this study was to compare the association of density measurements obtained by using three different approaches (Cumulus, Volpara, and radiologist-assigned BI-RADS classification) with breast cancer risk.
Materials and Methods
Study data were collected under a protocol approved by our institutional review board. Retrospective data were collected from patients who previously signed information release documents. Volpara Solutions provided the Volpara software. The authors had control of the data and the information submitted for publication.
Study Design and Population
We performed a matched case-control study to investigate the association of the percentage of density and absolute density with future risk of developing breast cancer on the basis of FFDM images assessed by using three density measurement approaches: Cumulus two-dimensional quantitative assessment, Volpara three-dimensional quantitative and qualitative assessment, and qualitative assessment by a radiologist according to BI-RADS criteria.
Patients comprised 125 women who underwent screening mammography at our institution between July 2003 and November 2012 and subsequently received a diagnosis of breast cancer. We selected the prediagnostic mammographic examination as the one at least 1 year before the date of diagnosis of breast cancer, when available, and closest to 1 year otherwise (median of 475 days from the prediagnostic mammographic examination to diagnosis). We used the image of the noncancerous breast contralateral to the affected breast to assess breast density, while avoiding the effect of the presence of cancer on the density measurement.
Control subjects comprised 274 women without a history of breast cancer who underwent screening mammography at our institution between 2004 and 2013. We ascertained the breast cancer–free status of control subjects by using the following inclusion criteria: (a) at least 10 years of follow-up for women aged 50 years or older at mammography and (b) three or more screening mammograms negative for cancer (BI-RADS assessment category 1 or 2) for women younger than 50 years at mammography. Exclusion criteria were: (a) diagnosis with breast cancer in our institutional cancer registry, (b) history of breast cancer in the medical record, (c) BI-RADS likelihood of malignancy assessment score of 3 or greater in mammography reports, or (d) breast cancer or breast implants noted in pathologic reports. Control subjects were frequency matched to patients according to 5-year age categories and race.
Acquisition of Images and Estimation of Density
All images were acquired at standard screening mammography. We selected the craniocaudal view of the noncancerous breast for patients and the left craniocaudal view for the matched control subjects. All mammograms were acquired with FFDM mammography units (Senograph Essential or Senograph 2000D; GE Medical Systems, Milwaukee, Wis). The patients were not stratified according to machine type, because this information (namely, the Digital Imaging and Communications in Medicine header for the “ManufacturerModelName”data element) was missing for the available images. These systems produceboth raw and processed images, and the latter are used for clinical image display. The raw images have 14-bit dynamic range for each pixel (values ranging from 0 to 16 383), whereas the processed images have 12-bit dynamic range (values ranging from 0 to 4095). The raw image pixel scale can be considered to represent the x-ray attenuation values, where adipose image regions appear bright (high pixel values) and fibroglandular regions appear dark (low pixel values). The processed images have a reversed intensity scale and a reduced dynamic range and resemble film mammograms.
To perform two-dimensional breast density assessment, the percentage of density measurements were estimated on the basis of the processed FFDM images in Digital Imaging and Communications in Medicine format by using Cumulus 6 software (9). To perform the Cumulus assessment, the operator adjusts a window and level to display the image optimally so that a threshold can be set to separate the dense tissue from the fatty tissue. The total breast area is determined by outlining the breast margins. The Cumulus percentage of density is calculated as the dense area divided by the total breast area. Processed GE images use only a small fraction of their 12-bit dynamic range, but are displayed in Cumulus at the full range (0–4095). To facilitate use of Cumulus on processed GE images, we applied the “softer” window boundaries by using the sigmoid transformation specified in the GE image metadata, and down-sampled images from a pixel size of 94 microns to 200 microns.
Study images for patients and their matched control subjects were read during the same session in random order, and a random subset of 10% of the study images (n = 48) were read a second time to assess intrareader reproducibility. A single reader (A.J., with 2 years of experience), who was blinded to whether the images were for patients or control subjects, performed all Cumulus measurements. The reader was trained by the providers of the Cumulus software (9). We previously found that noise reduction of processed FFDM images makes them appear more like film mammograms, and this can significant-ly improve reproducibility for readers with relatively little prior experience (15). Here, we applied a median filter with a radius of 2 pixels to assist the study reader (16). Reader proficiency was confirmed by means of a blinded test in which she attained excellent intrareader agreement, with a Pearson correlation coefficient of 0.90 (4,17), on the basis of 40 mammograms read twice in a different random order three days apart to reduce recall bias and an interreader correlation of 0.81, with the Cumulus instructor reading the same images. Reproducibility between Cumulus operators is generally lower than within the same operator (18). The proficiency of the study reader was independently confirmed in a blinded test of 74 study images that were read 5 months apart, in which she attained an intrareader correlation coefficient of 0.92.
To perform three-dimensional breast density assessment, we estimated Volpara volumetric percentage of density from the raw (unprocessed) images. We calculated percentage of density on the basis of raw mammograms as the total dense volume, normalized by the total breast volume, to give the percentage of dense breast tissue as the volumetric percentage of density measure. In comparison with two-dimensional methods (BI-RADS density assessment and Cumulus), which do not account for the degree of thickness or compression of the breast, the Volpara three-dimensional method accounts for these factors in its estimation of volumetric density. The software also assigns classifications that are similar to the BI-RADS density categories 1–4, defined as less than 4.5%, 4.5%–7.49%, 7.5%–15.49%, and greater than or equal to 15.5% volumetric percentage of density (14). To obtain the clinical assessment of breast density, we recorded the BI-RADS category assigned by the radiologist in the mammographic report for each case.
Statistical Analysis
We used conditional logistic regression stratified by age (<40, 40–44, 45–49, 50–54, 55–59, 60–64, 65–69, 70–74, and 75–79 years) and race (white, black, Asian, other) to estimate the odds ratio and 95% confidence interval (CI) for breast cancer associated with the Cumulus percentage of density and dense area, Volpara volumetric percentage of density and dense volume, and BI-RADS and Volpara density categories, adjusting for menopausal status, parity, and body mass index (BMI). We selected variables by using backward stepwise conditional logistic regression with the Akaike information criterion (19).
Quantitative density measurements were categorized into quartiles on the basis of the density distribution in the control women. We applied square-root and cube-root transformations to Cumulus percentage of density and dense area, respectively, and log-transformations to Volpara volumetric percentage of density and dense volumes, to obtain normal distributions. Quantitative density measurements were also modeled as continuous variables in units of the standard deviation in the control women. To facilitate comparison with clinical BI-RADS assessments, we also categorized the quantitative density measurements by using the percentile cut points of the BI-RADS distribution in the control women. BMI (in kilograms per square meter) was categorized as less than 25, 25–29, and 30 plus. Menopausal status was categorized as premenopausal, perimenopausal, and postmenopausal. Parity was categorized as nulliparous and one, two, and three or more live births. We used multiple imputation techniques to handle missing values for parity and BMI (20). Assuming a multivariate normal distribution, each missing value was replaced with a set of plausible values by using the Markov chain Monte Carlo method. Each imputed dataset (n = 10) was then analyzed by using conditional logistic regression matched according to age and race and adjusted for menopausal status, parity, and BMI. The parameter estimates were then combined to produce a single risk estimate with a 95% CI.
A receiver operating characteristic curve for each density measure was created by plotting the true-positive rate versus the false-positive rate at varying density thresholds in models including age, race, menopausal status, parity, and BMI. The area under the receiver operating characteristic curve (AUC) is the probability that, in a randomly selected patient-control subject pair, the patient will have a higher assigned risk than does the control subject. The AUC is a measure of how well the metric discriminates between patients and control subjects. A value of 0.5 indicated that the model was no better than chance at making a prediction of membership in a group, and a value of 1.0 indicated that the model perfectly predicted membership in a group. We compared the AUCs for different density estimation methods by using the DeLong test (21). All analyses were performed with software (SAS version 9.4; SAS Institute, Cary, NC). A P value of less than or equal to .05 was considered to indicate a significant difference.
Results
Study Population
The study included 125 patients with invasive breast cancer and 274 control subjects (Table 1). Compared with control subjects, a larger proportion of the patients were postmenopausal and had a BMI greater than or equal to 30 kg/m2, and a smaller proportion of the patients were nulliparous. Approximately 55% of patients and 39.8% of control subjects had heterogeneously dense or extremely dense breasts (clinical BI-RADS classification C or D). Cumulus area-based percentage of density measurements were substantially higher than were Volpara volumetric percentage of density measurements; however, the two percentage of density measures were highly correlated, with a Pearson correlation coefficient of 0.82. Cumulus dense area and Volpara dense volume were also correlated, with a Pearson correlation coefficient of 0.71. The agreement of clinical BI-RADS and Volpara density categorizations was fair, with a weighted κ statistic of 0.47.
Table 1.
Characteristics of Patients and Control Subjects

Note.—Unless otherwise indicated, data are number of patients, with percentage in parentheses.
*Data are means ± standard deviation.
Association of Breast Density with Breast Cancer Risk
Table 2 shows the associations of quantitative Cumulus and Volpara density measures and breast cancer risk, controlling for age, race, BMI, parity, and menopausal status. Compared with women in the second quartile, women with Cumulus percentage of density in the highest quartile had an odds ratio of 2.00 (95% CI: 1.01, 3.98; P = .047) and women in the highest quartile of Volpara volumetric percentage of density had an odds ratio of 1.71 (95% CI: 0.83, 3.53; P = .147). All four continuous measures were significantly associated with breast cancer risk, although associations with absolute density measures were generally weaker than those with percentage of density measures for both the Cumulus and Volpara methods. The odds ratio for each standard deviation increment was 1.61 (95% CI: 1.19, 2.19; P = .002) and 1.49 (95% CI: 1.15, 1.92; P = .002) for Cumulus percentage of density and dense area, and 1.54 (95% CI: 1.12, 2.10; P = .007) and 1.41 (95% CI: 1.11, 1.80; P = .005) for Volpara volumetric percentage of density and dense volume.
Table 2.
Breast Cancer Risk Associated with Quantitative Mammographic Density Measured with Cumulus and Volpara Methods

Note.—Unless otherwise indicated, data are odds ratios, with 95% CIs in parentheses. Odds ratios and CIs were estimated with conditional logistic regression, with age and race matched, and were adjusted for menopausal status, parity, and BMI.
*P < .05.
†P < .005.
Table 3 shows the association of clinical BI-RADS and fully automated Volpara density classifications with breast cancer risk, controlling for age, race, BMI, parity, and menopausal status. Compared with women with areas of scattered fibroglandular density (BI-RADS B), women with fatty breasts had reduced risk (odds ratio, 0.38; 95% CI: 0.17, 0.84; P = .017) and women with heterogeneously dense (odds ratio, 2.35; 95% CI: 1.34, 4.12; P = .003) or extremely dense (odds ratio, 2.06; 95% CI: 0.85, 4.97; P = .107) breasts had elevated risk. Associations were generally weaker for Volpara classifications than for clinical BI-RADS classifications, although a statistically significant trend of increasing breast cancer risk with increasing density categories was observed for both methods.
Table 3.
Breast Cancer Risk Associated with BI-RADS and Volpara Density Categories

Note.—Unless otherwise indicated, data are odds ratios, with 95% CIs in parentheses. Odds ratios and CIs were estimated with conditional logistic regression, with age and race matched, and were adjusted for menopausal status, parity, and BMI.
*P < .05.
†P < .005.
To facilitate comparisons between clinical BI-RADS and quantitative density measurements, we categorized Cumulus and Volpara measurements by using the percentile cut points of the clinical BI-RADS distribution in the control women (Table 4). Compared with women in the second BI-RADS-like category, women in the highest category had more than twofold increased risks of breast cancer for Cumulus percentage of density and dense area, and Volpara volumetric percentage of density and dense volume measurements. The positive trend toward increasing risks with increasing density was most statistically significant for clinical BI-RADS assessments.
Table 4.
Breast Cancer Risk Associated with Cumulus fand Volpara Density Categories Defined by Using the Percentile Cutpoints of Radiologist BI-RADS Assessments in Control Subjects

Note.—Unless otherwise indicated, data are odds ratios, with 95% Cls in parentheses. Odds ratios and CIs were estimated with conditional logistic regression, with age and race matched, and were adjusted for menopausal status, parity, and BMI.
*P < .05.
†P < .005.
Discrimination of Patients and Control Subjects
The Figure shows the receiver operating characteristic curves for clinical BI-RADS, Cumulus, and Volpara density measurements. Clinical BI-RADS assessment was slightly better for discrimination of patients from control subjects (AUC, 0.68; 95% CI: 0.63, 0.74) than was Volpara density classification (AUC, 0.64; 95% CI: 0.58, 0.70) or quantitative measures of Cumulus percentage of density (AUC, 0.66; 95% CI: 0.60, 0.72) and dense area (AUC, 0.66; 95% CI: 0.60, 0.72), and Volpara volumetric percentage of density (AUC, 0.64; 95% CI: 0.58, 0.70) and dense volume (AUC, 0.65; 95% CI: 0.59, 0.71). However, the differences between the AUCs for clinical BI-RADS and other density measures were not statistically significant.
Graph shows AUCs for mammographic density measures. PD = percentage of density, DA = dense area, VPD = volumetric percentage of density, DV = dense volume.
Discussion
In this case-control study of breast density assessed with Cumulus, Volpara, and BI-RADS from processed FFDM images, we found that all density measures were positively associated with breast cancer risk. Clinical assessment with BI-RADS allowed the best discrimination of patients from control subjects, followed by Cumulus and Volpara measurements, although the AUC differences were small and not statistically significant. In a recent study, Brandt et al (14) also reported that clinical assessment with BI-RADS based on FFDM images was slightly better for discrimination than was assessment with Volpara BI-RADS categories. Eng et al (10) found that clinical BI-RADS, Cumulus percentage of density, and Volpara volumetric percentage of density measurements based on FFDM images were all positively associated with breast cancer risk; although in their study, the AUCs were similar for Volpara and Cumulus percentage of density measures and were not reported for BI-RADS assessments.
Clinical BI-RADS scores are qualitative determinations of breast density made by radiologists. These assessments may be influenced by imaging characteristics introduced into the processed mammograms that are not present on the raw images. These differences could partially explain the fair agreement between clinical BI-RADS and Volpara density classifications and the slightly weaker associations with breast cancer risk when the fully automated Volpara measures are used.
The AUC is well known to be a conservative measure for detecting subtle differences in discriminatory ability (10,22–24), and it is unusual to see a substantial increase in the AUC, even with the addition of a very strong risk factor (25). In addition, it is difficult to determine the reference standard for breast density estimation on FFDM images. However, our results are interesting in that, if visual assessment is the standard, as is now legislated in more than half of all states in the United States, then Cumulus and Volpara do not appear to provide much additional value for prediction of risk beyond that of routine clinical BI-RADS assessment. Additional studies would be helpful to determine whether there may be small incremental benefits of current computerized methods. Beyond differences in risk prediction, automated methods may provide benefits of reducing interobserver variability and improving reproducibility of breast density assessments over time. Future development of automated methods to quantify breast density and other risk features could improve risk prediction with FFDM images.
A main strength of this study was the availability of both the raw and processed mammographic images and corresponding radiologic reports, which allowed us to compare Cumulus, Volpara, and BI-RADS density assessments on all study images. Most institutions store only the processed images, and not the raw images, which prohibits retrospective Volpara assessments. A second important strength was the use of screening mammograms and images of the unaffected breast before the diagnosis of cancer in the contralateral breast to avoid the influence of the presence of cancer on the density assessments. Finally, this study included the collection of covariate data that were electronically captured at the time of mammographic screening from the electronic medical record.
There were several limitations to our study. First, the available sample size limited the ability to detect subtle differences in discrimination among the density assessment methods. Second, clinical BI-RADS density assessment was made by a single reader, as is the standard clinical practice in the United States. The purpose of our study was to compare routine clinical BI-RADS assessments, including variability among radiologists, with semiautomated and fully automated methods; thus, we did not require multiple radiologists to assess each image, although this could have improved the accuracy of the BI-RADS assessments. Finally, the Cumulus assessments were performed by a single reader, which has the advantage of eliminating interreader variability. The standard of practice for using Cumulus software is to require the reader to undergo specialized training and attain high levels of intrareader reproducibility with test images before reading the study images. The extensive training and time required to perform Cumulus measurements made it impractical to have more than one Cumulus reader for this study, although we acknowledge that having multiple readers could have strengthened the results.
Mammographic density assessed on the basis of FFDM images with Cumulus, Volpara, and BI-RADS was significantly associated with breast cancer risk. Radiologist-assigned BI-RADS density categorization allowed discrimination of patients with breast cancer from control subjects at least as well as did computer-assisted methods.
Advances in Knowledge
■ Mammographic density measured at full-field digital mammography was significantly associated with breast cancer risk when assessed by radiologists according to the Breast Imaging Reporting and Data System (BI-RADS) and by using semiautomated and fully automated computer-assisted methods.
■ The area under the receiver operating characteristic curve for mammographic percentage of density was 0.68, 0.66, and 0.64 for BI-RADS, the semiautomated method, and the fully automated method, respectively; thus, BI-RADS was as accurate as computer-assisted methods for discrimination of patients with breast cancer from control subjects.
Implication for Patient Care
■ BI-RADS should be considered an appropriate measure of mammographic density for estimation of patient risk of breast cancer and clinical decision making.
Acknowledgments
Acknowledgment
We thank Volpara Solutions, Wellington, New Zealand, for the use of Volpara.
Received September 17, 2015; revision requested October 29; revision received May 4, 2016; accepted May 24; final version accepted June 29.
Supported by National Institutes of Health (R01CA166827).
A.M.J. and W.S. contributed equally to this work.
Disclosures of Conflicts of Interest: A.M.J. disclosed no relevant relationships. W.S. disclosed no relevant relationships. J.A.L. disclosed no relevant relationships. J.H.R. disclosed no relevant relationships. V.M. disclosed no relevant relationships. A.S.W. disclosed no relevant relationships. D.L.R. disclosed no relevant relationships.
Abbreviations:
- AUC
- area under the receiver operating characteristic curve
- BI-RADS
- Breast Imaging Reporting and Data System
- BMI
- body mass index
- CI
- confidence interval
- FFDM
- full-field digital mammography
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