Causal effects of breast cancer risk factors across hormone receptor breast cancer subtypes: A two-sample Mendelian randomization study

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Abstract

Background It is unclear if established breast cancer risk factors exert similar causal effects across hormone receptor breast cancer subtypes. We estimated and compared causal estimates of height, body mass index (BMI), type 2 diabetes, age at menarche, age at menopause, breast density, alcohol consumption, regular smoking, and physical activity across these subtypes. Methods We used a two-sample Mendelian randomization approach and selected genetic instrumental variables from large-scale risk factor GWAS. Publicly available summary-level data for the following subtypes were included: luminal A-like; luminal B/HER2-negative-like; luminal B-like; HER2-enriched-like; triple negative. We employed multiple methods to evaluate the strength of causal evidence for each risk factor-subtype association. Results Collectively, our analyses indicated that increased height and decreased BMI are probable causal risk factors for all five subtypes. For the other risk factors, the strength of evidence for causal effects differed across subtypes. Heterogeneity in the magnitude of causal effect estimates for age at menopause and breast density was explained by null findings for triple negative tumours. Regular smoking was the sole risk factor for which there was no evidence for a causal effect on any subtype. Conclusions This study suggests that established breast cancer risk factors differ across hormone receptor subtypes.
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Skip to main content Home About Submit ALERTS / RSS Search for this keyword Advanced Search Causal effects of breast cancer risk factors across hormone receptor breast cancer subtypes: A two-sample Mendelian randomization study Renée MG Verdiesen , View ORCID Profile Mehrnoosh Shokouhi , View ORCID Profile Stephen Burgess , View ORCID Profile Sander Canisius , Jenny Chang-Claude , View ORCID Profile Stig E Bojesen , View ORCID Profile Marjanka K Schmidt doi: https://doi.org/10.1101/2024.09.02.24312928 Renée MG Verdiesen 1 Division of Molecular Pathology, The Netherlands Cancer Institute - Antoni van Leeuwenhoek Hospital , Amsterdam, the Netherlands Find this author on Google Scholar Find this author on PubMed Search for this author on this site Mehrnoosh Shokouhi 1 Division of Molecular Pathology, The Netherlands Cancer Institute - Antoni van Leeuwenhoek Hospital , Amsterdam, the Netherlands Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Mehrnoosh Shokouhi Stephen Burgess 2 MRC Biostatistics Unit, University of Cambridge , Cambridge, UK 3 Department of Public Health and Primary Care, University of Cambridge , Cambridge, UK Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Stephen Burgess Sander Canisius 1 Division of Molecular Pathology, The Netherlands Cancer Institute - Antoni van Leeuwenhoek Hospital , Amsterdam, the Netherlands 4 Division of Molecular Carcinogenesis, The Netherlands Cancer Institute - Antoni van Leeuwenhoek Hospital , Amsterdam, The Netherlands Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Sander Canisius Jenny Chang-Claude 5 Division of Cancer Epidemiology, German Cancer Research Center (DKFZ) , Heidelberg, Germany 6 University Medical Center Hamburg-Eppendorf, University Cancer Center Hamburg (UCCH), Cancer Epidemiology Group , Hamburg, Germany Find this author on Google Scholar Find this author on PubMed Search for this author on this site Stig E Bojesen 7 Copenhagen University Hospital, Copenhagen General Population Study, Herlev and Gentofte Hospital , Herlev, Denmark 8 Copenhagen University Hospital, Department of Clinical Biochemistry, Herlev and Gentofte Hospital , Herlev, Denmark 9 Faculty of Health and Medical Sciences, University of Copenhagen , Copenhagen, Denmark Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Stig E Bojesen Marjanka K Schmidt 1 Division of Molecular Pathology, The Netherlands Cancer Institute - Antoni van Leeuwenhoek Hospital , Amsterdam, the Netherlands 10 Division of Psychosocial Research and Epidemiology, The Netherlands Cancer Institute - Antoni van Leeuwenhoek Hospital , Amsterdam, The Netherlands Find this author on Google Scholar Find this author on PubMed Search for this author on this site ORCID record for Marjanka K Schmidt For correspondence: mk.schmidt{at}nki.nl Abstract Full Text Info/History Metrics Data/Code Preview PDF Abstract Background It is unclear if established breast cancer risk factors exert similar causal effects across hormone receptor breast cancer subtypes. We estimated and compared causal estimates of height, body mass index (BMI), type 2 diabetes, age at menarche, age at menopause, breast density, alcohol consumption, regular smoking, and physical activity across these subtypes. Methods We used a two-sample Mendelian randomization approach and selected genetic instrumental variables from large-scale risk factor GWAS. Publicly available summary-level data for the following subtypes were included: luminal A-like; luminal B/HER2-negative-like; luminal B-like; HER2-enriched-like; triple negative. We employed multiple methods to evaluate the strength of causal evidence for each risk factor-subtype association. Results Collectively, our analyses indicated that increased height and decreased BMI are probable causal risk factors for all five subtypes. For the other risk factors, the strength of evidence for causal effects differed across subtypes. Heterogeneity in the magnitude of causal effect estimates for age at menopause and breast density was explained by null findings for triple negative tumours. Regular smoking was the sole risk factor for which there was no evidence for a causal effect on any subtype. Conclusions This study suggests that established breast cancer risk factors differ across hormone receptor subtypes. Introduction Previous case-control and cohort studies provide some evidence for breast cancer subtype-specific risk factors, including reproductive factors 1 – 3 , body mass index (BMI) 2 , 4 , 5 , and alcohol consumption 2 , 6 , 7 , although reported associations are inconsistent across studies. A likely explanation for this inconsistency is the relatively small number of cases for rarer subtypes like HER2-enriched and triple negative breast cancer. In general, breast cancer studies that collected both risk factor data and detailed pathology data for a large number of women are limited. A second challenge is that results from observational studies are often subject to bias due to (residual) confounding, measurement error, and reverse causation 8 . As a result, it remains unclear whether previous results reflect causal associations with breast cancer subtypes. Mendelian randomization (MR) is a specific type of instrumental variable (IV) analysis that minimizes the risk of these biases through the use of germline genetic variants, provided that certain assumptions are valid 8 . Previous MR studies on breast cancer risk supported causal associations for height 9 , BMI 10 , age at menarche 11 , age at menopause 12 , breast density 13 and physical activity 14 , but not for type 2 diabetes (T2D) 15 , alcohol consumption and smoking 16 . Because of the heterogeneity of breast cancer, also within estrogen receptor (ER)-defined subtypes, it is essential to assess causality of these associations with hormone receptor subtypes. Thus far, only a handful of MR analyses included data on these biologically more homogenous subtypes 17 – 22 . However, most of these studies only partially assessed if all MR assumptions were met, and thus a comprehensive evaluation of causal evidence for subtype-specific risk factors is currently lacking. Therefore, the aim of this study was to estimate and compare causal effects of nine established risk factors, including anthropometric, reproductive, and behavioural exposures, across five hormone receptor breast cancer subtypes using a two-sample MR design. Methods Study design: two-sample MR We used a two-sample MR study design and summary-level data for both the risk factors and outcomes of interest. Specifically, we extracted summary statistics for single nucleotide polymorphism (SNP)-risk factor and SNP-breast cancer subtype associations from different genome-wide associations studies (GWAS), which are described into more detail below. All included GWAS conducted comprehensive quality control of the genetic data. To yield valid causal estimates, selected genetic IVs should meet the following three MR assumptions: (1) IVs are robustly associated with the risk factors of interest (relevance assumption); (2) IVs are not associated with confounders of the studied associations (independence assumption); and (3) IVs do not affect the risk of breast cancer subtypes through mechanisms that do not involve the risk factors of interest (exclusion restriction assumption) 8 . An important additional assumption of two-sample MR is that the study participants included in both samples are from similar underlying populations (homogeneity assumption) 23 . We performed extensive secondary analyses to assess if these assumptions were reasonable. Data sources for SNP-risk factor associations In 2020, Cancer Research UK published a list of established breast cancer risk factors, based on scientific evidence up to that moment 24 . From this list we selected the following nine breast cancer risk factors for our MR analyses: height, BMI, T2D, age at menarche, age at menopause, percent breast density, alcohol consumption, regular smoking, and overall physical activity. We extracted summary-level data for these risk factors from the largest published GWAS including (mostly) participants of European ancestry 12 , 13 , 25 – 32 that were published before September 2021. Details for each included data source are presented in Table 1 , details about the association models specified by each risk factor GWAS are included in Supplemental Table 1. Due to risk factor transformations that included GWAS performed, estimated MR odds ratios (ORs) correspond to a 1 standard deviation increase in risk factors, expect for age at menarche and age at menopause, for which ORs correspond to a 1-year increase. View this table: View inline View popup Table 1. Details about the setting and participants of included risk factor and breast cancer data sources. Data source for SNP-breast cancer subtype associations We extracted publicly available summary-level data from the largest Breast Cancer Association Consortium (BCAC) GWAS to date for total breast cancer (n = 247,173; 133,384 cases, 113,789 controls), and the five hormone receptor breast cancer subtypes: luminal A-like (45,253 cases), luminal B/HER2-negative-like (6,350 cases), luminal B-like (6,427 cases), HER2-enriched-like (2,884 cases), and triple negative breast cancer (8,602 cases) 33 . These subtypes were classified based on tumour grade, ER, progesterone receptor (PR) and human epidermal growth factor receptor 2 (HER2) status as follows: luminal A-like (ER+ and/or PR+ and HER2-, and grade 1 or 2), luminal B/HER2-negative-like (ER+ and/or PR+ and HER2- and grade 3), luminal B-like (ER+ and/or PR+ and HER2+), HER2-enriched-like (ER-,PR-,HER2+), or triple negative (ER-,PR-,HER2-). The same set of controls (91,477 controls) was used for all subtype-specific GWAS analyses. Participants included in this BCAC GWAS were all female and of European ancestry. Additional details about the study population are included in Table 1 . SNP-total breast cancer and SNP-subtype associations were estimated using standard logistic regression models and two-stage polytomous logistic models, respectively. Accordingly, the number of cases per hormone receptor subtype represents the effective number of cases per subtype, see Supplementary Note of 33 for details. We estimated the maximum percentage of overlap with the selected risk factor GWAS based on the largest number of individuals from studies that were included in both risk factor and BCAC GWAS analyses. Selection of risk factor-specific genetic IVs From each risk factor GWAS, we selected genome-wide significant SNPs (p < 5 x 10 -8 ). For height and BMI, an even more stringent p-value threshold (p < 1 x 10 -8 ) was used by the GWAS authors for the identification of significant hits 26 . The T2D GWAS 29 was the only data source that included a trans-ethnic population. To avoid confounding due to population stratification 8 , we only included SNPs that reached genome-wide significance in European ancestry-specific T2D GWAS analyses. For SNPs that were not available in the BCAC GWAS summary statistics, we searched for proxy SNPs (linkage disequilibrium (LD) r 2 ≥ 0.8) using the NIH LDlink API implemented in the LDlinkR R-package 34 . To maximize statistical power to detect causal effects, we did not exclude SNPs based on pairwise correlations for our primary analyses, but instead accounted for variant correlation in the analysis. Prior to conducting MR analyses, we performed harmonization of alleles and effect estimates between the risk factor and BCAC GWAS using the TwoSampleMR R-package 35 . At this step, we excluded palindromic SNPs with intermediate allele frequencies (i.e., A/T or C/G SNPs with an effect allele frequency ranging from 0.40 to 0.60) because harmonization of these specific variants between different data sources can be error prone. In addition, SNPs that were not available in the 1000G phase 3 reference panel were excluded during harmonization. Supplemental Figure 1 presentsa graphical overview of this selection process. Statistical analyses Prior to performing our primary MR analyses, we set out to calculate LD matrices for all SNPs for the specific risk factors using the ld_matrix function implemented in the TwoSampleMR R-package. However, due to the substantial proportion of highly correlated SNPs for height and BMI, the correlation matrices that we calculated for these risk factors were near-singular. Therefore, we used a previously published method 36 that performs unscaled principal component analysis on a weighted version of the genetic correlation matrix instead. This method results in transformed values for the SNP-risk factor and SNP-outcome associations and a transformed correlation matrix. We included these transformed objects in our primary inverse-variance weighted (IVW) analyses. Primary analysis We employed the IVW method using a multiplicative random-effects model to calculate primary MR estimates for all nine risk factors in relation to each hormone receptor breast cancer subtype. For these analyses, we included SNP-risk factor estimates from the largest GWAS sample available. Consequently, we used estimates from sex-combined estimates for the risk factors height, BMI, T2D, smoking behaviour, alcohol consumption and physical activity. If analyses from conditional and joint GWAS analyses (i.e., analyses that identify index and independent secondary SNPs) were available, we used these estimates to weigh SNP-risk factor associations (Supplemental Table 1). We performed post-hoc power calculations for subtype-specific associations using a publicly available web application ( https://sb452.shinyapps.io/power/ ). Specifically, we estimated statistical power to detect the magnitude of the causal effect estimate for overall breast cancer, as this estimate would be the most accurate under the null hypothesis that there is no heterogeneity across subtypes (see Supplemental Table 2 for used parameters). In addition to estimating causal effects of each risk factor on total breast cancer and breast cancer subtypes, we calculated the I 2 index to quantify heterogeneity (%) in primary MR estimates across subtypes. We calculated I 2 estimates through meta-analysis of the five subtype-specific causal effects estimates per risk factor using random-effect models implemented in the metafor R-package 37 . As our results suggested consistently different effect estimates for triple negative tumours, we calculated heterogeneity in subtype-specific estimates after exclusion of this subtype as post-hoc analysis. Secondary analyses We additionally performed IVW analyses restricted to uncorrelated SNPs (LD r2 ≤ 0.001). Our rationale for this was two-fold: (1) direct comparison with previously published MR estimates for breast cancer, and (2) direct comparison with robust MR analyses, which are not all extended for the inclusion of correlated IVs. To yield valid causal estimates, genetic IVs have to meet the relevance, independence and exclusion restriction assumptions. Selection of genetic IVs based on the genome-wide significance threshold is an accepted statistical approach to ensure that SNPs meet the relevance assumption 38 . To quantify the strength of included genetic IVs, we calculated F-statistics based on r 2 (i.e., the variance explained in the respective risk factor) estimated in independent study populations, if available (Supplemental Table 3). We performed the following robust MR methods to check how consistent our findings were under less stringent assumptions regarding pleiotropic effects of the included genetic IVs; MR-Egger regression 39 , weighted median 40 , mode-based estimator 41 and MR-PRESSO 42 . Altogether, the results of these different methods give some insight into the plausibility of the exclusion restriction assumption. Based on previous MR findings regarding breast cancer 11 , we also performed multivariable MR analyses for BMI and age at menarche. We performed two separate multivariable MR analyses; the first including summary-level data for BMI from the GWAS by Yengo et al. 26 , and the second including summary-level data from the largest BMI GWAS in UK Biobank by Elsworth et al. 43 . The reason for this was that ∼25% of the genetic IVs for age at menarche were missing in the most recent BMI GWAS 26 , whereas all variants were available in the UK Biobank GWAS summary statistics 43 . In addition to these three fundamental assumptions, the homogeneity assumption should be reasonable in two-sample MR studies 23 . However, the BCAC GWAS only included women, whereas six of the nine selected risk factor GWAS included both females and males ( Table 1 ). Accordingly, the homogeneity assumption is not met by design. To assess potential bias because of this violation, we conducted secondary analyses in which we weighed the SNPs that reached genome-wide significance in sex-combined analyses using female-specific betas. For height and BMI, we extracted female-specific betas from a previous GIANT GWAS 44 , 45 . Of the 3,146 SNPs for height, only 3,002 SNPs were available in this female-specific data source. For the remaining 144 SNPs we included weights from sex-combined GWAS analyses. For physical activity, we received female-specific betas from the authors of the selected GWAS 32 . For T2D, alcohol consumption and smoking behaviour female-specific estimates were not publicly available. We ultimately combined results from our primary and secondary MR analyses to evaluate the strength of evidence for causal effects of each risk factor on each breast cancer subtype. For this evaluation, we used the following recently proposed definition 46 : evidence was considered to be “robust” if all performed MR methods presented a p-value < 0.05; evidence was considered to be “probable” if at least one method (primary or secondary analysis) had a p-value < 0.05 and the direction of the effect estimate was concordant across all methods; evidence was considered to be “suggestive” if at least one method had a p-value < 0.05, but the direction of the effect estimates differed across methods; and evidence was considered to be “insufficient” if all MR methods had a p-value ≥ 0.05. All analyses were performed using R version 4.0.5 ( https://www.R-project.org/ ). All R code, including details on package versions, and summary-level data that were used to generate our results are available at https://github.com/SchmidtGroupNKI/MR_BCsubtypes . Results Descriptive statistics data sources Details about the setting and participants included in each selected risk factor GWAS and the breast cancer subtype GWAS are presented in Table 1 . Total sample size of the included GWAS ranged from 24,192 to 1,232,091 individuals for breast density and smoking behaviour, respectively. Except for the T2D GWAS all data sources were restricted to European study populations (T2D GWAS: 79.2% European). GWAS for height, BMI, T2D, alcohol consumption, regular smoking and physical activity included both females and males. For the latter three risk factors, ∼50% of the study participants was female, for the anthropometric-related risk factors these details were insufficiently reported. The age distribution of study participants included in the breast cancer subtype GWAS and risk factor GWAS were similar with a reported mean age over 55 years. We estimated the maximum overlap in study participants between the risk factor and BCAC GWAS to range from 0% (height, breast density and physical activity) to 16.3% (age at menarche) based on details reported by the included data sources. Causal effects of established breast cancer risk factors across hormone receptor breast cancer subtypes Causal effect estimates (ORs per 1 standard deviation increase or per 1 year increase for age at menarche and age at menopause) for each of the nine breast cancer risk factors across the five hormone receptor breast cancer subtypes are presented in Figure 1 and Table 2 . Statistical power estimates corresponding to our primary MR estimates are presented in Supplemental Table 2. In general, we observed that IVW estimates for luminal A-like and luminal B/HER2-negative-like subtypes were very similar to IVW estimates for overall breast cancer. Heterogeneity across subtype-specific causal effects was not due to opposite causal effect estimates, but due to stronger estimates or absence of an effect for some subtypes. Download figure Open in new tab Figure 1. Causal breast cancer subtype-specific effect estimates per unit increase for nine established breast cancer risk factors. Presented ORs and 95% confidence intervals were calculated using the inverse-variance weighted method including correlated variants, which was taken into account through the inclusion of a transformed linkage disequilibrium matrix (see Methods). ORs correspond to a 1 standard deviation increase for all risk factors, except for age at menarche and age at menopause. ORs for these two risk factors correspond to a 1 year increase. The grey vertical dotted line indicates an OR of 1.00 (i.e., absence of a causal association). View this table: View inline View popup Table 2. Subtype-specific causal effect estimates per unit* increase for all nine breast cancer risk factors across primary and secondary MR analyses. Anthropometric risk factors For height, primary IVW estimates were similar across breast cancer subtypes (I 2 =0%), but suggested only a causal risk-increasing effect of increasing height on luminal A-like and luminal B-like tumours. Estimated heterogeneity across hormone receptor subtypes remained 0% after exclusion of the estimate for triple negative tumours. The combination of our primary and secondary MR analyses provided robust evidence for a causal risk-increasing effect of increased height on the risk of luminal A-like tumours, and probable evidence for causal associations with luminal B/HER2-negative and luminal B-like tumours ( Table 2 ;Supplemental Figure 2A). Evidence for causal associations with HER2-enriched and triple negative tumours was insufficient . However, MR analyses including female-specific genetic IVs provided robust evidence for a causal risk-increasing effect of increased height on luminal B-like tumours, and probable evidence for the other four subtypes (Supplemental Table 4; Figure 2 ). Download figure Open in new tab Figure 2. Overview of evidence for (subtype-specific) causal effects per increasing unit of the risk factor. For this figure we counted the number of performed MR methods (both primary and secondary analyses) that provided statistical evidence for causal effects (threshold p < 0.05) and assessed the direction of causal effect estimates. In case the MR-PRESSO analysis indicated that there were no outliers, and thus the secondary IVW estimate was valid, we included the IVW estimate from our secondary analyses twice. Evidence was considered to be robust if all performed MR methods for the specific association reached p < 0.05. Evidence was considered to be probable if at least one MR method (main or sensitivity) for the specific association reached p < 0.05 and the direction of the effect estimate was concordant for all methods. Evidence was considered to be suggestive if at least one MR method (main or sensitivity) for the specific association reached p < 0.05, but the direction of the effect estimate differed between methods. Evidence was considered to be insufficient if none of the MR methods reached p < 0.05. * MR-Egger, weighted median, weighted mode and MR-PRESSO analyses are less suitable when only few genetic IVs are available, the results for physical activity should therefore be interpreted with appropriate caution. Abbreviations: BMI, body mass index; T2D, type 2 diabetes; MR, Mendelian randomization For increasing BMI, primary IVW estimates provided evidence for a causal risk-decreasing effect on luminal B-like and HER2-enriched-like tumours (OR lumB =0.91 [95%CI: 0.84, 0.99] and OR HER2+ =0.85 [95%CI: 0.76, 0.95]). Accordingly, I 2 estimates indicated moderate heterogeneity across subtype-specific estimates (I 2 =31.1% across all subtypes; I 2 =40.1% after exclusion of triple negative tumours). However, based on the combination of primary and secondary MR analyses, evidence for a causal effect of BMI was merely suggestive for luminal B-like and HER2-enriched tumours and insufficient for the other subtypes ( Table 2 ;Supplemental Figure 2B). In contrast, analyses including female-specific genetic IVs provided probable evidence for a causal risk-decreasing effect of increasing BMI on all hormone receptor subtypes (Supplemental Table 4; Figure 2 ). For increasing risk of T2D, our primary analyses only suggested a causal risk-decreasing effect on luminal A-like tumours, although causal effect estimates for the other subtypes were very similar (I 2 =0% for analyses in- and excluding triple negative tumours). Altogether, our primary and secondary MR analyses provided probable evidence for a causal risk-decreasing effect on the risk of HER2-enriched tumours. Evidence for causal associations with luminal A-like and triple negative tumours was suggestive , but insufficient for luminal B-like and luminal B/HER2-negative-like tumours ( Table 2 ;Supplemental Figure 2C; Figure 2 ). Reproductive risk factors We observed no evidence for a causal effect of higher age at menarche on any of the hormone receptor subtypes in primary MR analyses (I 2 =0%). Secondary univariable MR analyses supported these findings ( Table 2 ;Supplemental Figure 2D), but multivariable MR analyses for higher age at menarche and increasing BMI provided evidence for a direct causal association between higher age at menarche and the risk of luminal A-like, luminal B/HER2-negative-like, and triple negative breast tumours (Supplemental Figure 3). However, corresponding heterogeneity estimates suggested similar effects across subtypes (I 2 =15.1% based on Yengo et al. data; 0% based on UK Biobank data). Based on the combination of our primary and secondary analyses, including multivariable MR analyses, evidence for a causal effect of higher age at menarche was only probable for luminal A-like tumours, and suggestive for luminal B/HER2-negative like and triple negative tumours ( Figure 2 ). For higher age at menopause, primary IVW estimates suggested causal risk-increasing effects on luminal A-like, luminal B/HER2-negative-like and HER2-enriched, but not on luminal B-like and triple negative tumours (I 2 =42.1%). Estimated heterogeneity across hormone receptor subtypes excluding triple negative breast cancer was 0%, which indicates that the absence of a causal effect on this specific subtype (OR=1.01 [95%CI: 0.98, 1.04]) explains the observed heterogeneity across all five subtypes. Collectively, our MR analyses provided robust or probable evidence for a causal effect of age at menopause on all subtypes except triple negative breast cancer ( Table 2 ;Supplemental Figure 2E; Figure 2 ). In primary IVW analyses, genetically predicted higher breast density was only significantly associated with the risk of luminal B/HER2-negative-like breast cancer (I 2 =15.6% across all subtypes; I 2 =0% after exclusion of triple negative tumours). Based on the combination of all used MR methods, evidence for a causal effect was suggestive for luminal A-like and luminal B/HER2-negative like tumours, but insufficient for the other subtypes ( Table 2 ;Supplemental Figure 2F; Figure 2 ). Lifestyle factors Primary analyses did not provide evidence for causal effects of alcohol consumption and regular smoking on risk of any of the hormone receptor subtypes (I 2 alcohol =0%; I 2 smoking =0%). Two out of the five secondary MR analyses suggested a causal risk-decreasing effect of higher alcohol consumption on the risk of luminal B-like breast tumours, but not on the other subtypes ( Table 2 ;Supplemental Figure 2G). Consequently, our results only provide probable evidence for a causal effect of alcohol consumption of this specific subtype ( Figure 2 ). Secondary analyses for regular smoking supported our primary findings, and thus evidence for a causal association between smoking and risk of any of the hormone receptor subtypes is insufficient . For overall higher physical activity, our primary results only provided evidence for a causal risk-decreasing effect on the risk of luminal B-like/HER2-negative breast tumours (I 2 =0%). However, statistical power was in general low, except for the luminal A-like subtype (Supplemental Table 2). Moreover, confidence intervals around primary causal effect estimates were very wide, indicating a high degree of uncertainty. Based on the combination of our primary and secondary MR analyses, we found probable evidence for a causal effect of physical activity on luminal A-like breast cancer and suggestive evidence for luminal B/HER2-negative-like tumours. For the other subtypes, evidence for a causal effect was insufficient . MR analyses including female-specific IVs provided probable evidence for a causal risk-decreasing effect on luminal A-like, luminal B/HER2-negative like and HER2-enriched breast tumours (Supplemental Table 4). In these analyses, evidence for a causal association with luminal B-like tumours shifted to suggestive , whereas the evidence for a causal association with triple negative tumours remained insufficient ( Figure 2 ). Yet, the results of secondary MR analyses for physical activity should be interpreted with caution due to the very low number of genetic IVs available for this risk factor. Discussion This MR study indicates that causal effects of several established breast cancer risk factors differ across hormone receptor breast cancer subtypes. Specifically, we observed moderate heterogeneity in subtype-specific causal effects for age at menopause and breast density. Although this heterogeneity was explained by null findings for triple negative tumours, statistical evidence was also insufficient for causal associations of breast density with luminal B-like and HER2-enriched tumours. For height, BMI, risk of T2D, age at menarche, alcohol consumption, regular smoking and physical activity causal effect estimates were similar across breast cancer subtypes. However, only for height and BMI evidence for causal effects was probable , or stronger, for all five subtypes. In contrast, for regular smoking statistical evidence for a causal effect was insufficient for all subtypes. For the remaining six risk factors, the strength of causal evidence ranged from probable to insufficient across subtypes. There was no evidence of opposing effects of any risk factor across hormone receptor subtypes. Altogether, our findings suggest that it is more likely that there is heterogeneity in the presence or absence of causal associations between risk factors and breast cancer subtypes, than heterogeneity in the magnitude and direction of causal effects. Previous MR studies supported height, BMI, age at menarche, age at menopause, breast density and physical activity as breast cancer risk factors, but could not confirm risk of T2D, alcohol consumption and smoking behaviour as causal risk factors for overall breast cancer. The majority of breast cancer patients are diagnosed with luminal tumours 47 . As a result, established risk factor-breast cancer associations will in general represent associations with luminal subtypes, and potentially less with HER2-enriched and triple negative tumours. Our results indeed indicate that for triple negative breast cancer there is probable evidence of causality for only two out of the nine risk factors, while for the other subtypes there is probable evidence of causality for four to five risk factors. For HER2- enriched tumours, differences compared with luminal tumours were less clear, possibly due to the considerably lower statistical power for the HER2-enriched subtype. For triple negative tumours, we consider it likely that null findings for age at menopause, breast density and physical activity are not caused by insufficient statistical power, because the sample size for this subtype was similar to that for luminal B/HER2-negative-like and luminal B-like tumours and causal ORs were consistently one. Considering results from observational studies (i.e., not MR), recent large-scale analyses for height and age at menopause in relation to hormone receptor breast cancer subtypes are in line with our findings. Specifically, increasing height was associated with a higher risk of ER+PR+, ER+PR- and ER-PR- postmenopausal breast cancer 48 . In a recent BCAC analysis of self-reported data, age at menopause was also not associated with the risk of triple-negative tumours 1 . Results from the same two studies for BMI and age at menarche were however not in line with our findings. A higher adult BMI was associated with a lower risk of ER+PR+ premenopausal breast cancer and a higher risk of ER+PR+ and ER-PR- postmenopausal breast cancer 48 . Evidence for associations between BMI and other subtypes was less clear, although an association between higher BMI and a lower risk of breast cancer was suggested for ER+PR- postmenopausal tumours. The results from our analyses including female-specific weights, suggest that a higher genetically-determined BMI is associated with a lower risk of all hormone receptor subtypes. Our finding is in line with an earlier MR study that found that a higher BMI was associated with a lower risk of both pre- and postmenopausal breast cancer 49 , which contradicts observational evidence showing that a higher BMI is associated with a higher risk of postmenopausal breast cancer (e.g. 50 ). Unfortunately, we were not able to further investigate differences between pre- and postmenopausal status at diagnosis, due to the lack of GWAS summary-level data stratified by menopausal status. Based on observational BCAC data, a younger age at menarche was associated with all hormone receptor subtypes 1 , whereas our MR results only provided probable causal evidence for an association with luminal A-like tumours. Yet, estimated heterogeneity across subtypes in multivariable MR estimates for age at menarche was negligible, and statistical power to detect a causal effect was limited. Two recent observational studies suggested that breast density was also associated with all subtypes 4 , 51 , but based on our results evidence for a causal association is weak. Large-scale analyses that studied associations with hormone receptor breast cancer subtypes are currently lacking for risk of T2D, alcohol consumption, smoking behaviour, and physical activity, which hampers a meaningful comparison with our findings for these risk factors. However, systematic reviews of observational studies for several of these lifestyle-related traits indicate that their results for overall breast cancer are likely to be biased by unmeasured confounding(e.g. 52 ). This observation highlights the importance of approaches that are more robust to residual confounding and measurement error, like MR, to understand the aetiology of breast cancer subtypes. Until now, one other MR analysis set out to investigate multiple known risk factors in relation to hormone receptor breast cancer subtypes 17 . This previous study reported similar results for age at menopause, which was associated with all subtypes but triple negative tumours. Furthermore, a subtype-specific casual effect for alcohol consumption was reported, which was suggested to be only causally associated with the risk of HER2-enriched breast cancer. However, their MR-PRESSO and MR-Egger estimates for alcohol consumption were in line with our evidence for a causal risk- decreasing effect on the risk of luminal B-like tumours. This contradiction illustrates the added value of our approach to evaluate causal evidence based on the combination of six different MR methods (seven for age at menarche). Consequently, our conclusions are less likely to reflect invalid causal inferences due to unbalanced horizontal pleiotropy or due to chance findings because of multiple testing. We also assessed the homogeneity assumption through the inclusion of female-specific genetic IVs for height, BMI and physical activity and showed that these instruments were consistently associated with stronger causal evidence across all breast cancer subtypes, compared to combined-sex genetic IVs. In line with this observation, our findings for risk of T2D, alcohol consumption and regular smoking should be considered preliminary until female-specific IVs for these risk factors are used in future MR analyses. Altogether, our results underline the importance of an extensive investigation of the MR assumptions. Another frequently unassessed assumption for two-sample MR analyses is that the risk factor and outcome GWAS samples should be independent, i.e. there should be no overlap in study participants 23 . Since the BCAC includes several studies that also participate in other consortia, this assumption was not completely met in the current analysis. Based on reported details by the included GWAS, we estimated a relatively small overlap in participants ranging from 0% to 16.3%. Bias due to sample overlap in two-sample MR studies arises in analyses that include weak genetic instruments. In the case of minimal sample overlap, this bias will be towards the null and thus rather increase Type 2 error rates than Type 1 error rates 53 . For each risk factor, we estimated maximum and minimal F- statistics corresponding to primary IVW analyses for luminal A-like and HER2-enriched tumours, respectively. We based these estimations on the variance explained by the included SNPs in an independent study population, if such independent r2 estimates were available. This approach minimized the over-estimation of F-statistics due to winner’s curse bias in the discovery GWAS. Minimum F-statistics for height, BMI, alcohol, and smoking were below the arbitrary threshold of 10, which indicates that weak instrument bias may have biased causal effect estimates for these risk factors towards the null. A last important assumption for two-sample MR studies is that regression models employed for the risk factor GWAS and the outcome GWAS should be adjusted for the same covariates 23 . Specifically, adjustment for potential confounders in the risk factor GWAS can induce collider bias in two-sample MR analyses. In the current analysis, such bias may have affected our results for breast density, because its GWAS was adjusted for BMI. A higher BMI is associated with decreased breast density 54 , but without data on the causal association and confounding structure between the genetic IVs, breast density, BMI and breast cancer subtypes it is difficult to evaluate the potential impact on our results 23 , 55 . An additional strength of our study compared to previous MR studies that set out to investigate associations between breast cancer risk factors and the hormone receptor subtypes, is that we maximized statistical power of our primary analyses through the inclusion of as many genetic IVs as possible in combination with LD matrices. Although these correlation matrices were estimated based on genetic data of only ∼400 participants, causal estimates from our primary analyses were very similar to estimates from our secondary, more conservative, analyses. Despite our efforts, our post- hoc power analyses indicated that statistical power to detect causal risk factors across all subtypes was still suboptimal. Future MR studies including stronger genetic IVs, i.e., genetic IVs explaining more variance in the risk factor of interest, could further increase statistical power. However, identification of additional loci requires even larger GWAS study populations, and this has proved to be challenging for lifestyle-related risk factors like alcohol consumption, smoking and physical activity. Another possibility to increase statistical power is the inclusion of larger numbers of breast cancer cases for hormone receptor subtypes, which will be possible through initiatives like the Confluence project 56 . Further improvement of the quality of MR studies can be achieved if future risk factor GWAS stratify analyses by biological sex, and report full details about the included GWAS setting, participants and methods. In conclusion, our results suggest that, of the established breast cancer risk factors, height and BMI are likely to exert similar causal effects across all breast cancer subtypes. Our MR analyses also suggest that the majority of established breast cancer risk factors are not causally associated with the risk of triple negative tumours. These insights are valuable for the development of primary prevention strategies, and the improvement of breast cancer risk stratification in the general population. Our findings also emphasize the importance of taking breast cancer subtype into account for the identification of novel breast cancer risk factors. Data Availability All R code, including details on package versions, and summary-level data that were used to generate our results are available at https://github.com/SchmidtGroupNKI/MR_BCsubtypes https://github.com/SchmidtGroupNKI/MR_BCsubtypes Additional information Authors’ contributions Conceived the work that led to submission: RMGV, SB, MKS; Performed analyses: RMGV, MS; Played an important role in interpreting the results: all authors; Drafted manuscript: RMGV, MS; Revise manuscript: all authors; Approved final version of the manuscript: all authors; Agreed to be accountable for all aspects of the work in ensuring that questions related to the accuracy or integrity of any part of the work are appropriately investigated and resolved; all authors Ethics approval and consent to participate All GWAS that generated the used summary-level data received ethical approval from qualified institutional boards and all study participants provided informed consent. See corresponding manuscripts for original statements. Consent for publication Not applicable; this manuscript does not contain individual-level data. Data availability The code supporting the results reported in this manuscript will be made available upon publication at: https://github.com/SchmidtGroupNKI/MR_BCsubtypes . Competing interests The authors declare no conflict of interest. Funding information RMGV was funded by the European Union’s Horizon 2020 Research and Innovation Programme (grant number 633784 for B-CAST project). MS is funded by the Antoni van Leeuwenhoek (AVL) Foundation. Research at the Netherlands Cancer Institute is supported by institutional grants of the Dutch Cancer Society and of the Dutch Ministry of Health, Welfare and Sport. SB is supported by the Wellcome Trust (225790/Z/22/Z) and the United Kingdom Research and Innovation Medical Research Council (MC_UU_00002/7, MC_UU_00040/01). The breast cancer genome-wide association analyses for BCAC were supported by Cancer Research UK (PPRPGM-Nov20\100002, C1287/A10118, C1287/A16563, C1287/A10710, C12292/A20861, C12292/A11174, C1281/A12014, C5047/A8384, C5047/A15007, C5047/A10692, C8197/A16565) and the Gray Foundation, The National Institutes of Health (CA128978, X01HG007492- the DRIVE consortium), the PERSPECTIVE project supported by the Government of Canada through Genome Canada and the Canadian Institutes of Health Research (grant GPH-129344) and the Ministère de l’Économie, Science et Innovation du Québec through Genome Québec and the PSRSIIRI-701 grant, the Quebec Breast Cancer Foundation, the European Community’s Seventh Framework Programme under grant agreement n° 223175 (HEALTH-F2-2009-223175) (COGS), the European Union’s Horizon 2020 Research and Innovation Programme (634935 and 633784), the Post-Cancer GWAS initiative (U19 CA148537, CA148065 and CA148112 - the GAME-ON initiative), the Department of Defence (W81XWH-10-1-0341), the Canadian Institutes of Health Research (CIHR) for the CIHR Team in Familial Risks of Breast Cancer (CRN-87521), the Komen Foundation for the Cure, the Breast Cancer Research Foundation and the Ovarian Cancer Research Fund. All studies and funders are listed in Zhang H et al (Nat Genet, 2020). Acknowledgements The authors thank dr. Haoyu Zhang for providing additional details about the BCAC GWAS summary statistics, and professor Aiden Doherty for providing female-specific summary statistics for overall physical activity. We thank Renee Menezes for help with MR-PRESSO. We acknowledge the Breast Cancer Association Consortium (BCAC) for providing summary data. List of abbreviations BCAC breast cancer association consortium BMI body mass index ER estrogen receptor GIANT Genetic Investigation of ANthropometric Traits GWAS genome-wide association studies HER2 human epidermal growth factor receptor 2 IV instrumental variable IVW inverse-variance weighted LD linkage disequilibrium MR Mendelian randomization PR progesterone receptor SNP single nucleotide polymorphism T2D type 2 diabetes References ↵ Jung , A. Y. et al. 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