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Implications of reconstruction protocol for histo-biological characterisation of breast cancers using FDG-PET radiomics

Abstract

Background

The aim of this study is to determine if the choice of the 18F-FDG-PET protocol, especially matrix size and reconstruction algorithm, is of importance to discriminate between immunohistochemical subtypes (luminal versus non-luminal) in breast cancer with textural features (TFs).

Procedures

Forty-seven patients referred for breast cancer staging in the framework of a prospective study were reviewed as part of an ancillary study. In addition to standard PET imaging (PSFWholeBody), a high-resolution breast acquisition was performed and reconstructed with OSEM and PSF (OSEMbreast/PSFbreast). PET standard metrics and TFs were extracted. For each reconstruction protocol, a prediction model for tumour classification was built using a random forests method. Spearman coefficients were used to seek correlation between PET metrics.

Results

PSFWholeBody showed lower numbers of voxels within VOIs than OSEMbreast and PSFbreast with median (interquartile range) equal to 130 (43–271), 316 (167–1042), 367 (107–1221), respectively (p < 0.0001). Therefore, using LifeX software, 28 (59%), 46 (98%) and 42 (89%) patients were exploitable with PSFWholeBody, OSEMbreast and PSFbreast, respectively.

On matched comparisons, PSFbreast reconstruction presented better abilities than PSFwholeBody and OSEMbreast for the classification of luminal versus non-luminal breast tumours with an accuracy reaching 85.7% as compared to 67.8% for PSFwholeBody and 73.8% for OSEMbreast. PSFbreast accuracy, sensitivity, specificity, PPV and NPV were equal to 85.7%, 94.3%, 42.9%, 89.2%, 60.0%, respectively. Coarseness and ZLNU were found to be main variables of importance, appearing in all three prediction models. Coarseness was correlated with SUVmax on PSFwholeBody images (ρ = − 0.526, p = 0.005), whereas it was not on OSEMbreast (ρ = − 0.183, p = 0.244) and PSFbreast (ρ = − 0.244, p = 0.119) images. Moreover, the range of its values was higher on PSFbreast images as compared to OSEMbreast, especially in small lesions (MTV < 3 ml).

Conclusions

High-resolution breast PET acquisitions, applying both small-voxel matrix and PSF modelling, appeared to improve the characterisation of breast tumours.

Background

Breast cancer is the most common type of cancer and the leading cause of death related to cancer in women worldwide [1]. It displays a large inter- and intra-tumour heterogeneity with a strong impact on patient management and outcome. Inter-patient tumoral heterogeneity can be reflected by actual staging systems and histopathological classifications that are predictors of patients’ outcomes and major determinants for treatment planning [2]. In the context of invasive breast cancer staging, 2-deoxy-2[18F]-fluoro-d-glucose (18F-FDG) positron emission tomography coupled with computed tomography (PET/CT) has shown its value for the detection of unexpected node involvements and/or distant metastasis [3]. Therefore, the European Society for Medical Oncology (ESMO) international consensus as well as the National Comprehensive Cancer Network (NCCN) guidelines recommend to consider the use of FDG PET-CT if available, instead of CT and bone scan for the initial staging of inoperable and non-metastatic locally advanced breast cancer (stage III with the exception of T3 N1) [4]. However, due to the high heterogeneity of breast cancers, FDG tumour uptake intensity measured as maximum standardised uptake value (SUVmax) is highly variable, depending on multiple factors such as histological type, phenotypic type [5], proliferation index [6], histological grade and the presence of a P53 mutation [7] for example. However, SUVmax has been shown to be a prognostic index in invasive breast cancer [5]. More recently, PET textural features have emerged in the field of cancerology and have shown promising results in predicted response to treatment and/or patient survival in cervix, head and neck, lung and oesophageal cancer [8,9,10,11,12,13,14,15,16]. In breast cancers, heterogeneous tumour FDG uptake appeared to be frequent, especially in large tumours with intense FDG uptake [17]. Some studies have demonstrated that FDG breast tumour heterogeneity, based on single parameter or multi-feature signature, is significantly correlated with immunohistochemical factors and St Gallen’s subtypes [18,19,20]. Interestingly, these heterogeneity parameters were not correlated to SUV, meaning that they can surely provide additional information. However, these results are controversial because other studies did not find any ability of textural features (TFs) to discriminate between immunohistochemical subtypes [21, 22]. It is worth noticing that neither of these two studies used dedicated high-resolution images but images with standard 4 × 4 × 4 mm voxels. These findings thus suggest a potential role of textural features in breast cancer for non-invasive molecular subtype classification and subsequent patient prognosis stratification, but PET procedure seems to arise as a critical point in this field, especially when considering breast tumours that are usually small. Indeed, for such small lesions, it had already been demonstrated that small-voxel reconstruction and latest reconstruction algorithms bring better signal-to-noise ratio and could improve tumoral detection and the sensitivity of visual lymph node characterisation [23,24,25]. Therefore, the aim of this ancillary prospective clinical study is to compare different PET protocols with regard to their ability to discriminate between luminal versus non-luminal breast tumours.

Material and methods

Study population

This study is ancillary to a previous monocentric prospective study conducted by our team and approved by the local Ethics Committee (CPP Nord Ouest III, reference 2009-10) [23]. Informed and signed consent was obtained from all patients. Patients with newly diagnosed and histologically proven breast cancer for which breast surgery and axillary lymph node dissection was indicated were included from April 2009 to June 2012. All patients had a 18F-FDG PET/CT for initial staging of the disease.

PET/CT acquisitions

PET imaging studies were performed on a Biograph TrueV (Siemens Medical Solutions). 18F-FDG injection was preceded by a 6-h fasting period and a 15-min rest in a warm room. Patients were scanned 60 min after 18F-FDG injection from the skull base to the mid-thighs (2 min 40 s per bed position for normal-weight patients (BMI ≤ 25 kg/m2) and 3 min and 40 s per bed position for patients with BMI > 25 kg/m2). Images were reconstructed using a point spread function (PSF) algorithm (HD; TrueX, Siemens Medical Solutions, 3 iterations and 21 subsets) with no post-filtering (PSFWholeBody) and a 1682 matrix size leading to a voxel size of 4.1 × 4.1 × 5.0 mm. A complementary high-resolution (HR) breast dedicated bed position (6 min per bed position) was performed just after the completion of the skull base to the mid-thighs acquisition. Images were reconstructed using the same protocol as above (PSFbreast) and an ordered subset expectation maximization (OSEM) algorithm (four iterations, eight subsets) with a Gaussian post-filtering of 5 mm (OSEMbreast) with a 5122 matrix size leading to voxels of 1.3 × 1.3 × 1.9 mm. Scatter and attenuation corrections were applied for both acquisitions.

PET/CT images analysis

Injected dose, time between injection and acquisition and capillary glycaemia were recorded to seek for EANM recommendations fulfilment [26]. A single nuclear medicine physician drew volumes of interest (VOIs) encompassing the entire breast tumour on each PET acquisition using a PET edge method implemented in MIM software (MIM software, Cleveland, OH, US, version 5.6.5). In case of multiple lesions, only the biggest lesion was considered. To be close to real clinical practice, each PET dataset was contoured independently as it would have been done in a PET unit. The PET gradient method was used because it had been shown to be reproducible, little impacted by reconstruction type and have the ability to encompass the entire tumour by taking into account cold zones as opposed to threshold based VOIs [27]. Moreover, it is widely available. VOIs were subsequently saved as DICOM RT structures and then loaded in LifeX software [28] to extract SUVmax, SUVmean, metabolic tumour volumes (MTV), total lesion glycolysis (TLG) and TFs parameters.

The following TFs were extracted:

  • Homogeneity, energy, contrast, correlation, entropy, dissimilarity from grey level co-occurrence matrix (GLCM) that takes into account the arrangements of pairs of voxels

  • Coarseness, contrast and busyness from neighbourhood grey-level different matrix (NGLDM) that corresponds to the difference of grey-level between one voxel and its 26 neighbours in 3 dimensions.

  • SZE, LZE, LGZE, HGZE, SZLGE, SZHGE, LZLGE, LZHGE, GLNU, ZLNU, ZP (Table 1) from grey-level zone length matrix (GLZLM) that provides information on the size of homogeneous zones for each grey-level in three dimensions.

Table 1 Third-order textural features abbreviations

Absolute resampling using 64 grey levels between 0 and the maximum SUV units recorded for each reconstruction was used for all TFs: 27 for PSFWholeBody, 15 for OSEMbreast and 32 for PSFbreast leading to a size of bin of 0.4, 0.2 and 0.5, respectively [29, 30].

Coefficients of variation (CoV), measured in a 4 cm3 spherical VOI set in the descending thoracic aorta, were computed as follows for each reconstruction protocol:

$$ \mathrm{CoV}\kern0.5em =\kern0.75em \frac{\mathrm{standard}\ \mathrm{deviation}}{{\mathrm{SUV}}_{\mathrm{mean}}} $$

Further analyses were undergone. First, to assess the impact of quantification scaling, a supplemental analysis was undergone by using an upper SUV bound set to 32 for all 3 reconstructions leading to a size of bin of 0.5 for all reconstructions. Secondly, to assess the impact of the voxel size, a post-reconstruction resampling was applied to PSFwholeBody and to PSFbreast images to obtain a 2 mm3 voxel size and a 4 mm3 voxel size, respectively.

Statistical analysis

Quantitative data are presented as the median (interquartile range) or the mean (SD) when appropriate.

To compare PET metrics extracted from the three different reconstructions, non-parametric Friedman test with post-hoc test were used.

For each reconstruction protocol, a random forests (RF) method was used for building a prediction model for luminal versus non-luminal tumour classification. The method implemented classification and regression trees (CART, n = 100) and bootstrapping aggregating (bagging) method proposed by Breiman [31,32,33]. It allows studying the global heterogeneity of tumour rather than looking at individual features. For the validation, i.e. the training accuracy, the internal check in RF itself was used, based on the prediction error using the Out-Of-Bag (OOB) estimates of classification error: the smaller the OOB error rate, the better the reconstruction is able to classify between luminal and non-luminal tumours. Sensitivity (Se), specificity (Sp), positive predictive value (PPV), negative predictive value (NPV) and accuracy were computed. The importance of TFs in classification was assessed for each reconstruction protocol by measuring the mean decrease accuracy [34] of class prediction. Spearman coefficients were used to seek correlation between PET metrics of importance. Finally, the first three main PET metrics were considered for further paired comparison between reconstruction protocols using Friedman test with post-hoc test, Spearman correlation tests and ROC analyses.

Graph and statistical analysis were performed on XLSTAT Software (XLSTAT 2017: Data Analysis and Statistical Solution for Microsoft Excel. Addinsoft, Paris, France (2017)). For all statistical tests, a two-tailed P value of less than 0.05 was considered statistically significant.

Results

Patients and PET characteristics

Sixty-three patients were referred for the staging of breast carcinoma from April 2009 to June 2012. Sixteen patients were excluded from the analysis, for a final database of 47 patients (47 PET-CTs). The causes of exclusion were as follows: PET-CT not performed prior to surgery (n = 8), metastatic tumours on staging imaging (n = 4), missing data (n = 1) and breast lesions not visible on PET-CT (n = 3). The tumour types confirmed on histopathology included 38 infiltrating ductal carcinomas, 2 infiltrating lobular carcinomas, 5 mixed ductal/lobular infiltrating carcinomas, 1 tubular carcinoma and 1 infiltrating undifferentiated carcinoma. Patient characteristics are displayed in Table 2. Six patients (12.8%) had multiple lesions (range 2–4).

Table 2 Patients’ characteristics

The mean injected dose was equal to 282.1 (67.5) MBq. The mean uptake time was 62.0 (7.7) min for the whole body and 81.9 (8.3) min for HR breast acquisitions.

Lesions size: metabolic tumour volumes and number of voxels within the VOIs

Median metabolic tumour volumes (MTVs) (n = 47) were 3.62 (1.29–9.85), 2.43 (1.14–8.68), 2.43 (0.78–10.17) ml for PSFWholeBody, OSEMbreast and PSFbreast, respectively (p < 0.00001). Thirty five patients (74.5%) had MTVs < 10 cm3 with at least one PET protocol. Dedicated HR breast acquisitions led to significantly smaller MTVs than PSFwholeBody acquisitions for both OSEMbreast (p = 0.037) and PSFbreast (p < 0.0001). There was no significant difference between PSFbreast and OSEMbreast MTVs (p = 0.079) (Fig. 1a). The median numbers of voxels within VOIs were 130 (43–271), 316 (167–1042), 367 (107–1221) for PSFWholeBody, OSEMbreast and PSFbreast, respectively (p < 0.0001). Dedicated HR breast acquisitions led to a significantly higher number of voxels than PSFwholeBody acquisitions for both OSEMbreast (p < 0.0001) and PSFbreast (p < 0.0001) reconstructions. There was no significant difference between PSFbreast and OSEMbreast numbers of voxels (p = 0.062) (Fig. 1b). To be analysed in LifeX software, MTVs should contain at least 64 voxels. Therefore, 28 (59%), 46 (98%) and 42 (89%) patients were exploitable when using PSFWholeBody, OSEMbreast and PSFbreast reconstructions, respectively. Of note, due to a very low MTV, only one patient was not analysable by all three reconstructions and therefore was not included in the subsequent statistical analysis. She was a 72-year-old woman presenting a luminal A (ER+; PR+, HER2−, grade 1) breast tumour classified T1N1M0.

Fig. 1
figure 1

Paired comparison of OSEMbreast, PSFbreast and PSFwholeBody metabolic tumour volumes (a) and number of voxels within MTVs (b). Red cross represents the mean values. Legends for p values: ***< 0.001; **< 0.01; *< 0.05. ns non significant

Prediction accuracies for luminal status tumours classification and variables of importance identification for PSFwholeBody, PSFbreast and OSEMbreast PET protocols

When matched comparing the 28 patients analysed with PSFwholeBody and PSFbreast (22 luminal and 6 non-luminal tumours), PSFwholeBody showed higher OOB estimates of classification error than PSFbreast with values equal to 32.1% and 25.0%, respectively. Accuracy, Se, Sp, PPV and NPV are displayed in Table 3 and variables of importance for both PET protocols are displayed on Fig. 2. Interestingly, both protocols found coarseness and ZLNU to be variables of importance. However, coarseness was negatively correlated with SUVmax and SUVmean on PSFwholeBody images (ρ = − 0.526, p = 0.005 and ρ = − 0.406, p < 0.033, respectively), whereas it was not on PSFbreast images (ρ = − 0.093, p = 0.636 and ρ = 0.139, p < 0.479, respectively). ZLNU was correlated with SUVmax and SUVmean on both PSFwholeBody and PSFbreast images (ρ = 0.928, p < 0.0001 and ρ = 0.962, p < 0.0001, respectively for SUVmax correlation). Noticeably, variables of importance mean decrease accuracies were globally lower for PSFwholeBody images as compared to PSFbreast images. Moreover, all textural features were highly correlated with SUVmax and SUVmean values for PSFwholeBody images, whereas correlations were fewer and lower for PSFbreast images (Fig. 2). Concerning images noise, there was no significant difference between PSFwholeBody and PSFbreast images with a mean CoV of 0.175 (0.030) and 0.189 (0.031), respectively (p = 0.087). Moreover, coarseness was not correlated to noise: ρ = − 0.029, p = 0.883 for PSFwholeBody and ρ = 0.190, p = 0.330 for PSFbreast.

Table 3 Reconstruction protocols classification performances regarding tumour luminal status detection
Fig. 2
figure 2

Left panels display the mean decrease accuracy of textural features values and right panels display Spearman correlation matrixes of all PET metrics found to have positive mean decrease accuracy, whatever the value for PSFwholeBody (a) and PSFbreast (b) reconstructions. For Spearman correlation matrixes, the blue colour corresponds to a correlation close to − 1 and the red colour corresponds to a correlation close to 1. The green corresponds to a correlation close to 0

When applying a size of bin equal to 0.5 on PSFwholeBody images to meet the quantification scale of PSFbreast, the OOB estimates of classification error went from 32.1 to 28.6%, still higher than PSFbreast OOB estimates of classification error. Variables of importance and their correlations are displayed on Additional file 1: Figure S1a.

After applying to PSFwholeBody images a 2 mm3 post-reconstruction voxel resampling, the OOB estimates of classification error remained stable, equal to 32.1%. Variables of importance and their correlations for both protocols are displayed on Additional file 2: Figure S2a. Interestingly, there was no more correlation between SUVmax and coarseness values on PSFwholeBody images after post-reconstruction voxel resampling: ρ = − 0.276, p = 0.155.

When matched comparing the 42 patients analysed with both OSEMbreast and PSFbreast (35 luminal and 7 non-luminal tumours), PSFbreast showed higher classification accuracy and lower OOB estimates of classification error than OSEMbreast. OOB estimates were equal to 26.2% and 14.3% when using OSEMbreast and PSFbreast, respectively. Accuracy, Se, Sp, PPV and NPV are displayed in Table 3. Both protocols showed high sensitivity but low specificity for the luminal status detection: the best specificity was obtained using PSFbreast with a value equal to 42.9%. Figure 3 displays variables of importance for both PET protocols and demonstrates that coarseness and ZLNU were again variables of importance with both protocols as well as GLNU, SZLGE and busyness. GLNU and ZLNU were found to be significantly positively correlated with each other (p < 0.0001) and with SUVmax (p < 0.0001) on both protocols. Coarseness was not correlated with SUVmax with ρ equal to − 0.183 (p = 0.244) for OSEMbreast and − 0.244 (p = 0.119) for PSFbreast. Concerning images noise, there was no significant difference between OSEMbreast and PSFbreast images with a mean CoV of 0.175 (0.030) and 0.189 (0.031), respectively (p = 0.087). Moreover, coarseness was not correlated to noise: ρ = − 0.029, p = 0.883 for PSFwholeBody and ρ = 0.190, p = 0.330 for PSFbreast.

Fig. 3
figure 3

Left panels display the mean decrease accuracy of textural features values and right panels display Spearman correlation matrixes of all PET metrics found to have positive mean decrease accuracy, whatever the value for OSEMbreast (a) and PSFbreast (b) reconstructions. For Spearman correlation matrixes, the blue colour corresponds to a correlation close to − 1 and the red colour corresponds to a correlation close to 1. The green corresponds to a correlation close to 0

When applying a size of bin equal to 0.5 on OSEMbreast images to meet the quantification scale of PSFbreast, the OOB estimates of classification error decreased, equal to 21.4%, but were still higher than PSFbreast OOB estimates of classification error. Variables of importance and their correlations are displayed on Additional file 1: Figure S1b.

After applying to PSFbreast images a 4 mm3 post-reconstruction voxel resampling, the OOB estimates of classification error increased moderately, equal to 26.2%. Variables of importance and their correlations for both protocols are displayed on Additional file 2: Figure S2b. Of note, when applying a 4 mm3 post-reconstruction voxel resampling on PSFbreast images, coarseness was then correlated to SUVmax values: ρ = − 0.321, p = 0.05.

Comparison of coarseness, GLNU and ZLNU values obtained from PSFbreast and OSEMbreast protocols using adapted SUVmax bounds for each reconstruction to quantify textural features

Paired comparison of PSFbreast and OSEMbreast reconstructions found significant differences between coarseness, GLNU and ZLNU values (Fig. 4a). Interestingly, the range of coarseness values was wider when using PSFbreast especially for the smallest lesions, whereas it was quite similar between PSFbreast and OSEMbreast for GLNU and ZLNU values (Fig. 4b). However, PSFbreast and OSEMbreast coarseness, GLNU and ZLNU values were highly correlated (Fig. 4c). Coarseness displayed the lowest ρ value: 0.883 (p < 0.0001) with a dispersion of coarseness values between PET protocols occurring for coarseness values superior to 0.04 corresponding to the smallest lesions (MTV < 3 ml). On the contrary, GLNU and ZLNU seem to have the same distribution whatever the protocols and the MTV considered. Moreover, there was no difference between PSFbreast and OSEMbreast areas under the ROC for the luminal versus non-luminal status determination with GLNU values and ZLNU values, whereas the area under the ROC with PSFbreast coarseness values was significantly higher than that of OSEMbreast coarseness values (Fig. 5). Representative images of one luminal and one non-luminal breast tumours are shown on Fig. 6.

Fig. 4
figure 4

Comparison of coarseness, GLNU and ZLNU values extracted from PSFbreast and OSEMbreast images: box plots (a) correlation with MTV (ml) (b) and correlation between reconstruction protocols (c). Red cross in box plots represents the mean values and circle extreme values

Fig. 5
figure 5

ROC curves for SUVmean (a), SUVmax (b), MTV (c), coarseness (d), GLNU (e) and ZLNU (f) values. The blue line corresponds to OSEMbreast and the red one to PSFbreast reconstruction

Fig. 6
figure 6

Representative images of one luminal (a) and one non-luminal (b) breast tumour. The luminal tumour was a luminal B HER2 negative T3N1M0 ductal carcinoma. The non-luminal tumour was a T2N1M0 triple-negative ductal carcinoma. Images were scaled on the same maximum value (SUV = 5)

Discussion

As expected, there was a limited number of analysable tumours when using PSFwholeBody. Although this reconstruction led to larger MTVs, the number of voxels within MTVs was very low as compared to OSEMbreast and PSFbreast and thus led to 19 patients (40.4%) being non-exploitable. On the contrary, OSEMbreast and PSFbreast led to smaller MTVs but a higher number of voxels and therefore allowed studying nearly all patients: 98% for OSEMbreast and 89% for PSFbreast.

On matched comparison, PSFbreast reconstruction presented better abilities than PSFwholeBody and OSEMbreast for the classification of luminal versus non-luminal breast tumours with an accuracy reaching 85.7%. Using the same heterogeneity quantification scale for all three reconstructions, PSFbreast still showed higher abilities than others reconstructions. Noticeably, it displayed a high sensitivity but low specificity for the detection of luminal status. Coarseness and ZLNU were the only PET TFs identified as important classification variables by all three reconstruction models. But on PSFwholeBody images, coarseness was highly correlated with SUVmax, whereas it was not for HR breast protocols. Moreover, correlation between SUVmax and coarseness values seems to be linked to voxel size as it disappeared after applying a 2 mm3 post-reconstruction voxel resampling to PSFwholeBody images and appeared after applying a 4 mm3 post-reconstruction voxel resampling to PSFbreast images. The numerous and strong correlations of TFs with SUVmax observed on PSFwholeBody suggested that PET metrics extracted from PSFwholeBody may have less additional information over conventional PET indices. One could consider that the delay between whole body acquisition and the dedicated breast acquisition may have influenced our results. However, this delay was around 20 min and we feel unlikely that it influenced TFs values, as opposed to a previous study in which a second examination was performed 3 h after injection, with a mean time of 127 min between the two phases [35]. Considering image noise, one could have expected that using a small-voxel matrix would have led to higher noise in PSFbreast images as compared to PSFwholeBody. However, no significant difference in CoV was observed in the present study among all reconstruction protocols, but the small matrix size may have been counterbalanced by a longer acquisition time.

Among HR breast bed position, PSF reconstruction appeared to be more discriminative for luminal versus non-luminal status than OSEM reconstruction. This is in accordance with our previous publication [36] that compared those two types of reconstruction. Regarding PET metrics extracted from NGLDM matrix and especially coarseness, there was higher values dispersion with PSFbreast reconstruction, especially for small lesions and a better area under the ROC for luminal versus non-luminal status determination. Besides, this metric was not correlated to SUVmax suggesting that it could provide additional information. Considering TFs extracted from GLZLM, especially ZLNU and GLNU, no difference was found in the dispersion of these TFs values between PSFbreast and OSEMbreast reconstructions. As coarseness, GLNU and ZLNU were not explored in previous studies, no comparison can be made [17,18,19,20,21,22].

Concerning heterogeneity quantification process, the main analysis was designed in order to obtain data as close as possible to what could have been done in routine clinical practice, for example in PET units using different reconstruction algorithms. To this end, VOIs and SUV bounds were adapted to each reconstruction independently. To test the influence of quantification scale, a supplemental analysis was made using same SUV bounds for all reconstructions leading to same bin widths and showed no major change as compared to the first analysis. However, as SUV are highly reconstruction-dependent, with for example a mean percentage difference that could reach 66% between OSEM and PSF reconstructions [23], we firmly believe that SUV bounds have to be adapted specifically to the reconstruction of interest. When it comes to VOIs delineation, an appropriate VOI for each reconstruction seems more relevant to answer the question of the influence of reconstruction on FDG radiomics. Indeed, using the same volume of interest for all reconstructions is never meant to happen in clinical practice. Besides, using same VOIs or independent VOIs between different reconstructions showed almost no influence on a panel of second- and third-order textural features in a previous study [36]. Finally, small-voxel post-reconstruction resampling did not provide better capabilities in terms of histological classification and therefore seems to offer no additional information.

This study had some limitations. First of all, although random forests allowed matched comparison of datasets, it surely did not give definitive results concerning the ability of TFs in discriminating histological characteristics of breast tumours in view of the limited number of patients. The limited number of patients did not allow us to consider all histological tumour subtypes and therefore the discriminative power of TFs was restricted to luminal versus non-luminal tumours. However, the aim of the present study was not to have definitive results concerning PET abilities for histological discrimination. It demonstrated that a combination of PSF modelling and small-voxel reconstruction seems to be the best strategy to obtain additional information over conventional PET metrics and should be used when characterising the intra-tumoral FDG heterogeneity of breast cancers. These results are in line with previous publications using a breast-dedicated PET system, small-voxels and/or new generation reconstruction algorithms with time-of-flight, which found that FDG breast tumour heterogeneity was significantly correlated with immunohistochemical factors and St Gallen’s subtypes [18,19,20], whereas those using OSEM reconstruction with 4 × 4 × 4 mm voxels did not find any association [21, 22].

Conclusions

High-resolution breast PET acquisitions, applying both small-voxel matrix and PSF modelling, appeared to be necessary to improve the characterisation of breast tumours, especially when seeking a link between 18F-fluorodeoxyglucose heterogeneity and histological characteristics in breast cancer.

Abbreviations

BMI:

Body mass index

CART:

Classification and regression trees

CoV:

Coefficient of variation

CPP:

Comité de Protection des Personnes

DICOM:

Digital Imaging and Communications in Medicine

ER:

Estrogen receptors

ESMO:

European Society for Medical Oncology

FDG:

Fluorodeoxyglucose

GLCM:

Grey level co-occurrence matrix

GLNU:

Grey-level non-uniformity for zone

GLZLM:

Grey-level zone length matrix

HER2:

Human epidermal growth factor receptor-2

HGZE:

Low grey-level zone emphasis

LGZE:

Low grey-level zone emphasis

LZE:

Long-zone emphasis

LZHGE:

Long-zone high grey-level emphasis

LZLGE:

Long-zone low grey-level emphasis

MTV:

Metabolic tumour volume

NCCN:

National comprehensive cancer network

NGLDM:

Neighbourhood grey-level different matrix

NPV:

Negative predictive value

OOB:

Out-of-bag

OSEM:

Ordered subset expectation maximization

PET:

Positron emission tomography

PPV:

Positive predictive value

PR:

Progesterone receptors

PSF:

Point spread function

Se:

Sensitivity

Sp:

Specificity

SZE:

Short-zone emphasis

SZHGE:

Short-zone high grey-level emphasis

SZLGE:

Short-zone low grey-level emphasis

TF:

Textural feature

VOI:

Volume of interest

ZLNU:

Zone length non-uniformity

ZP:

Zone percentage

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Acknowledgements

Not applicable.

Funding

The authors declare that they had no funding.

Availability of data and materials

The datasets used and/or analysed during the current study are available from the corresponding author upon request.

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Authors

Contributions

NA designed the study and provided critical readings of the manuscript; TS performed the PET/CT images analysis and helped writing the manuscript; CBF performed the immunohistochemically analyses; JMG collected the clinical data; CLe included the patients; and CLa performed the statistical analysis, wrote the article and built figures and tables. All authors read and approved the final manuscript.

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Correspondence to Charline Lasnon.

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All procedures performed in studies involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.

This study is ancillary to a previous monocentric prospective study conducted by our team and approved by the local Ethics Committee (CPP Nord Ouest III, reference 2009-10). Informed and signed consent was obtained from all patients.

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Additional files

Additional file 1:

Figure S1. Impact of quantification scale. Left panels display the mean decrease accuracy of textural features values and right panels display Spearman correlation matrixes of all PET metrics found to have positive mean decrease accuracy, whatever the value for PSFwholeBody (a) and OSEMbreast (b) reconstructions. SUV bounds were set to 0–32 leading to a size of bin of 0.5 for both reconstructions. For Spearman correlation matrixes the blue colour corresponds to a correlation close to − 1 and the red colour corresponds to a correlation close to 1. The green corresponds to a correlation close to 0. (TIFF 5689 kb)

Additional file 2:

Figure S2. Impact of voxels post-reconstruction resampling. Left panels display the mean decrease accuracy of textural features values and right panels display Spearman correlation matrixes of all PET metrics found to have positive mean decrease accuracy as well as SUVmax and coarseness for PSFwholeBody after a 2mm3 voxels resampling (a) and PSFbreast after a 4mm3 voxels resampling (b) reconstructions. For Spearman correlation matrixes the blue colour corresponds to a correlation close to − 1 and the red colour corresponds to a correlation close to 1. The green corresponds to a correlation close to 0. (TIFF 6529 kb)

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Aide, N., Salomon, T., Blanc-Fournier, C. et al. Implications of reconstruction protocol for histo-biological characterisation of breast cancers using FDG-PET radiomics. EJNMMI Res 8, 114 (2018). https://doi.org/10.1186/s13550-018-0466-5

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