Lipoprotein(a) (Lp(a)) is an important causal cardiovascular risk factor, with serum Lp(a) levels predicting atherosclerotic heart disease and genetic determinants of Lp(a) levels showing association with myocardial infarction. Lp(a) levels vary widely between populations, with African-derived populations having nearly 2-fold higher Lp(a) levels than European Americans. We investigated the genetic basis of this difference in 4464 African Americans from the Jackson Heart Study (JHS) using a panel of up to 1447 ancestry informative markers, allowing us to accurately estimate the African ancestry proportion of each individual at each position in the genome. In an unbiased genome-wide admixture scan for frequency-differentiated genetic determinants of Lp(a) level, we found a convincing peak (LOD = 13.6) at 6q25.3, which spans the LPA locus. Dense fine-mapping of the LPA locus identified a number of strongly associated, common biallelic SNPs, a subset of which can account for up to 7% of the variation in Lp(a) level, as well as >70% of the African-European population differences in Lp(a) level. We replicated the association of the most strongly associated SNP, rs9457951 (p = 6×10−22, 27% change in Lp(a) per allele, ∼5% of Lp(a) variance explained in JHS), in 1,726 African Americans from the Dallas Heart Study and found an even stronger association after adjustment for the kringle(IV) repeat copy number. Despite the strong association with Lp(a) levels, we find no association of any LPA SNP with incident coronary heart disease in 3,225 African Americans from the Atherosclerosis Risk in Communities Study.
Citation: Deo RC, Wilson JG, Xing C, Lawson K, Kao WHL, Reich D, et al. (2011) Single-Nucleotide Polymorphisms in LPA Explain Most of the Ancestry-Specific Variation in Lp(a) Levels in African Americans. PLoS ONE6(1): e14581. https://doi.org/10.1371/journal.pone.0014581
Editor: Jonathan K. Pritchard, University of Chicago Howard Hughes Medical Institute, United States of America
Received: October 1, 2010; Accepted: December 23, 2010; Published: January 24, 2011
Copyright: © 2011 Deo et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Funding: These studies were supported by the National Heart, Lung, and Blood Institute and the National Center on Minority Health and Health Disparities through R01 HL084107 to JGW and NIH contracts N01-HC-95170, N01-HC-95171, and N01-HC-95172. RCD was supported by National Institutes of Health grant T32 HL007208 and K08 HL098361. The Dallas Heart Study was supported by the Donald W. Reynolds Foundation and grants HL082896 and HL092550 from NHLBI. CX was supported by a Pilot Award from UL1RR024982 from the National Center for Research Resources. The ARIC Study was carried out as a collaborative study supported by the National Heart, Lung, and Blood Institute (NHLBI) contracts N01-HC-55015, N01-HC-55016, N01-HC-55018, N01-HC-55019, N01-HC-55020, N01-HC-55021 and N01-HC-55022 with support for this analysis by R21DK073482 and K01DK067207 (WHLK). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Competing interests: The authors have declared that no competing interests exist.
Lipoprotein(a) (Lp(a)) is a subclass of lipoproteins, consisting of a low-density lipoprotein (LDL)-like particle covalently bound to the LPA gene product. Serum Lp(a) levels are a risk factor for cardiovascular disease, albeit with more modest effect than LDL-cholesterol –. Common variants within the LPA gene have been associated with myocardial infarction, suggesting a causal link between Lp(a) and atherosclerotic heart disease –.
The genetic determinants of Lp(a) levels have been investigated extensively both within and between ethnic groups. Lp(a) is highly variable, with over 90% of the variance in Lp(a) levels in European Americans attributable to variation within the LPA gene ; the corresponding percentage in African Americans is ∼80% . LPA includes a well-characterized 5.6 kilobase-pair copy-number variant (CNV) that encodes a kringle(IV) domain , . Higher copy numbers for this domain are associated with lower Lp(a) levels , presumably due to impaired secretion of the larger protein product . Biallelic SNPs and other CNVs also appear to contribute independently to Lp(a) level .
Lp(a) levels vary widely between populations , with some populations of African ancestry having nearly 4-fold higher Lp(a) levels than European Americans . The interethnic differences in populations seem to be only weakly explained by the kringle(IV) CNV, thus motivating searches for other responsible variants . Given the association of LPA variants with coronary heart disease (CHD), identifying these determinants may have clinical implications for differences in disease prevalence between populations.
Recent genetic association analyses in admixed populations such as African Americans have highlighted the complexities due to confounding by ancestry . We have extended our earlier work on admixture mapping and genetic association analysis in the Jackson Heart Study (JHS) to the Lp(a) trait and find the amount of African or European ancestry at the LPA locus is strongly associated with Lp(a) level. Dense fine-mapping of LPA identified multiple strongly associated variants, including rs9457951 and rs10455872, a SNP strongly associated with myocardial infarction in European populations . A multi-SNP model explains ∼7% of the variation in Lp(a) level and 73% of the association of local ancestry with this trait. We have replicated the strongest association (rs9457951) in the Dallas Heart Study (DHS), and find a stronger effect after adjustment for the kringle(IV) CNV. Finally, we genotyped 10 SNPs in >3200 African Americans in the Atherosclerosis Risk in Communities (ARIC) Study and, although we validated the strong association of LPA local ancestry and genotypes at 7 of the 10 SNPs with Lp(a) level, we find no significant association of these variables with incident CHD.
Admixture Mapping for Determinants of Lp(a) Levels Identifies a Strong Peak at the LPA Locus
We studied a sample of 4605 individuals from the JHS (Table 1), a community-based observational study of cardiovascular disease (CVD) in African Americans . We have previously used a panel of >1400 genotypic markers selected for high differences in frequency between European Americans and West Africans  to estimate African ancestry across the genome of 4464 individuals. To investigate the genetic basis of African-European differences in serum Lp(a) levels, we performed genomewide admixture mapping of the Lp(a) trait (see Methods).
Admixture mapping of Lp(a) reveals a compelling association of increased African ancestry with Lp(a) case status (upper quintile) at chromosome 6q25.3 (LOD 13.6, Figure 1). This far exceeds our threshold of significance of 5 for LOD scores  and suggests a marked association of local ancestry at this locus with Lp(a) level. In this region, individuals having Lp(a) levels in the upper quintile had a mean African ancestry of 87.4%, compared to 72.7% for those having Lp(a) values in the lower quintile (p<2×10−16). The 95% credible interval for this peak spans from 158 to 162 megabasepairs (Mb) and includes the LPA gene.
Local Ancestry at the LPA locus is strongly associated with Lp(a) Levels
In addition to localizing genetic determinants of disease, estimates of individual ancestry in admixed individuals can be correlated with continuous phenotypes (see Methods). To further characterize the admixture peak at the LPA locus, we obtained an estimate for overall ancestry and for local ancestry at the LPA locus for each individual in JHS. Looking first at overall ancestry, we found a 9.9±1.3% increase in Lp(a) level for each 10% increase in overall African ancestry (p = 6.8×10−7). Interestingly, this result is in keeping with the ∼2 fold difference in Lp(a) levels seen in ARIC between European and African Americans , suggesting that genetic determinants of the association between global ancestry and Lp(a) levels within an admixed population may prove useful in explaining differences in Lp(a) levels between African and European American populations. When we incorporated local ancestry as a covariate in the linear regression model, we found an increase of 7.7±0.5% in Lp(a) level for each 10% increase in local African ancestry at the LPA locus (p = 1.8×10−25). Furthermore, inclusion of the LPA local ancestry rendered the overall ancestry term non-significant, suggesting that local ancestry at LPA almost fully explains the ancestry-related differences in Lp(a) levels.
Common LPA SNPs Explain A Modest Percentage of Variance in Lp(a) Levels
We next performed a fine-mapping study to look for variant(s) in the LPA gene that can account for the admixture signal at this locus. Although several common variants as well as the kringle(IV) repeat have previously been shown to contribute to African-European differences , these earlier studies were performed without estimates of LPA local ancestry. In such cases, effects attributed to the repeat or to specific SNPs may reflect confounding by admixture linkage disequilibrium.
Given that genetic variation at the LPA locus has been shown to explain >80% of variation in Lp(a) levels , we selected a dense panel of SNPs spanning the LPA locus and extending 10 kb upstream and downstream (see Methods). This interval includes LPA and nearly all of LPAL2 (Lp(a)-like 2 precursor). SNP-Lp(a) associations were evaluated by linear regression, correcting for global and local ancestry at the LPA locus. As another approach to potential confounding by differing LD patterns, we tested association of each SNP separately in a subpopulation of 1831 individuals who had >95% probability of two African ancestral chromosomes in the region (JHS-AFR-2LPA), thus minimizing heterogeneity in local ancestry background, and a subpopulation of 615 individuals with >95% probability of at least one European ancestral allele (JHS-EUR-1_2LPA; see Table 1 for demographic characteristics of these subgroups).
Figure 2 and Table S1 present the p-values for association with Lp(a) for the 59 successfully genotyped SNPs. 24 SNPs had a p-value less than 0.00085 (corresponding to p = 0.05 with Bonferroni correction for 59 SNPs tested), with the strongest SNPs being rs9457951 (p = 9.2×10−26), rs6930542 (p = 9.2×10−27, r2 = 0.994 with rs9457951 in JHS-AFR-2 LPA), rs10455872, (p = 1.3×10−19) and rs6922216 (p = 5.4×10−15, r2 = 0.746 with rs9457951 in JHS-AFR-2LPA). Eighteen of the top 20 SNPs show significant association in the JHS-AFR-2LPA subpopulation at p<0.00085. The exceptions were rs10455872, which is nearly fixed in frequency (MAF = 0.001) in JHS-AFR-2LPA, and rs6919346, which has an MAF of 0.006 in this subgroup. Notably, for 21 of the 24 significant SNPs, the allele associated with higher Lp(a) levels is at higher frequency in the African ancestral subpopulation, providing a strong explanation for the association of African LPA local ancestry with increased Lp(a) levels. Furthermore, for 4 of the SNPs – rs9457951, rs6930542, rs6922216, rs7755463 – the allele corresponding to higher Lp(a) levels is nearly absent in JHS-EUR-2LPA. Pairwise LD values in the African and European local ancestry subpopulations are shown in Figures 3 and Figure S1.
For each SNP, -log(p-values) given in Table S1 are shown against chromosomal position (kb). rs9457951 is highlighted in blue, and SNPs in strong (r2≥0.8), moderate (0.8>r2≥0.25) and weak(0.25>r2≥0.10) and very weak (0.1>r2) linkage disequilibrium with rs9457951 in the Yoruba HapMap population are depicted by red, yellow, green, and white diamonds, respectively. The position of the LPA and LPAL2 genes are depicted by green arrows. The chromosomal recombination rate for the Yoruba population is depicted at the bottom of the plot, in light blue.
Effect sizes for individual SNPs are shown in Table 2. For rs9457951, which is intronic, the effect size is an increase in Lp(a) level by 25±2% per allele. The minor allele frequency for rs9457951 in JHS is 0.19, and this SNP alone appears to explain ∼5% of the residual variance in Lp(a) after adjustment for gender. The largest effect is seen for rs10455872, which demonstrates an effect size of 92±7% in Lp(a) level per inherited allele. This SNP is intronic, and was recently shown to explain ∼25% of the Lp(a) variance in a European cohort with a positive association with myocardial infarction . The high Lp(a) rs10455872 genotype is correlated with smaller LPA isoform number and thus the strong contribution to Lp(a) variance likely arises from the effect of the well known kringle(IV) repeat in the LPA gene.
Common LPA variants explain 7% of the variability in Lp(a) levels
To determine if a multi-SNP model could better explain the variability in Lp(a) levels, we performed stepwise linear regression combined with ANOVA (see Methods). Such analyses are prone to overestimation if SNP discovery, model building (SNP selection and parameter estimation) and variance calculations are all performed using the same individuals. We thus undertook five-fold cross-validation to more accurately estimate the percentage of Lp(a) variance explained by common LPA gene polymorphisms (see Methods). Using this approach, we found that common LPA variants explain 7±1% of the variance in gender-adjusted Lp(a) level. The strongest contribution was seen for rs9457951, which explains 5±1% of the variance.
Using all JHS individuals, we also built a 10 SNP model by stepwise linear regression for validation in other cohorts (see below).
Common Variants at LPA Explain Most of the Association of Local Ancestry with Lp(a) Level
Many of the most highly correlated SNPs we identified are quite differentiated in frequency between JHS-AFR-2LPA and JHS-EUR-2LPA, and thus may explain the observed association of LPA local ancestry with Lp(a) levels (Table S1, Table S2). We tested this systematically for each SNP by comparing:
- R2: the adjusted R2 for the regression of LPA local ancestry on gender-adjusted Lp(a) level
- R2geno: the adjusted R2 for the regression of LPA local ancestry on gender- and genotype-adjusted Lp(a) level
In principle, a statistic π = 1-(R2/R2geno) should give the percentage of the ancestry-specific variation explained by the SNP genotype. Table S2 shows π for the 10 SNPs that most strongly account for the ancestry-specific variance. Each of these 10 SNPs has π>0.25, with 4 (rs7755463, rs9365166, rs9457951, rs225830) having π>0.40. Thus a number of individual SNPs can explain a large fraction of the observed association between LPA local ancestry and Lp(a) level.
Since many of these SNPs are in linkage disequilibrium, we can look for a multi-SNP model that explains a larger fraction of the ancestry. We performed stepwise-model building, repeating five-fold cross-validation, and testing the fitted model for explanation of the local ancestry contribution to Lp(a) variance. We estimate that common LPA variants explain 73±13% of this ancestry association.
rs9457951 Is Strongly Associated with Isoform-adjusted Lp(a) Levels in an Independent Population
To validate our results in an independent population, we genotyped rs9457951 in 1,726 African Americans and 996 European Americans in DHS, and found a minor allele frequency of 0.176 and 0.00253 respectively. The African Americans in DHS had previously been genotyped using a panel of 2,270 genomewide ancestry informative markers (Smith et al. 2004), allowing us to generate global and local ancestry estimates. Furthermore, the kringle(IV) CNV had also been genotyped in DHS , allowing us to investigate the joint effects of isoform number, ancestry, and rs9457951 on Lp(a) level.
DHS African Americans had a mean of 15.8% European ancestry, with mean Lp(a) levels of 97.9 nmol/L, compared to 56.2 nmol/L in the DHS European Americans. Isoform number was a strong predictor of Lp(a) level in DHS African Americans, with a 13.9±0.4% decrease in Lp(a) per unit increase in isoform number (p = 4.2×10−180), accounting for 40.7% of the Lp(a) variance. We confirmed strong associations of Lp(a) with global ancestry (13±3% increase in Lp(a) per 10% increase in African ancestry proportion; p = 1.4×10−5) and local ancestry (9±1% increase in Lp(a) per 10% increase in African ancestry, p = 3.9×10−13). These estimates were reduced somewhat by adjustment for isoform number (11±2% and 7±1%, respectively), indicating a modest correlation of isoform number with global and local ancestry.
Genotype at rs9457951 was strongly associated with Lp(a) levels in DHS after correction for global and local ancestry (p = 3.4×10−9) and after additional correction for isoform number (p = 1.4×10−24), with a large effect on unadjusted and isoform-adjusted Lp(a) levels (29±4% and 41±3% per allele, respectively). The rs9457951 genotype was in fact able to account for 6.7% of the variance in isoform-adjusted Lp(a) levels. Figure 4 demonstrates Lp(a) levels in DHS African Americans represented according to their rs9457951 genotype and stratified by isoform number, showing a marked effect across multiple isoforms. Although the absolute change in Lp(a) level per rs9457951 allele decreases with isoform number, the percentage change is relatively constant, as evidenced by a non-significant genotype x isoform interaction on log-transformed Lp(a) levels (p = 0.14).
For genotypes CC and CG, the locally weighted scatterplot smoothing curve was drawn; for genotype GG, the raw data were plotted.
In addition to rs9457951, we investigated 3 SNPs that had previously been reported to explain a large proportion of African-European differences in Lp(a) level . As the prior study had not incorporated estimates of global and local ancestry, we wished to analyze these SNPs with adjustment for ancestry and isoform number. Of the 3 SNPs tested (rs1801693, G+1/inKIV-8A, and T3888P (rs41272110)), rs1801693 explains 11% of the isoform- and ancestry-adjusted variance, G+1inKIV-8A explains 3.7%, and T3888P explains 32%. In a similar analysis, rs9457951 explains 36% of isoform- and ancestry-adjusted variance in Lp(a), while a combination of T3888P and rs9457951 genotypes explains 56%.
rs9457951 is not Associated with Coronary Heart Disease Outcomes in ARIC
We evaluated the 10 SNP model of common LPA variants that we had discovered in JHS in 2200 African Americans from ARIC. Although there were 3225 African Americans in ARIC with Lp(a) levels and DNA available, 1000 of these are also JHS participants and had been included in the JHS analysis, so they were excluded from validation of SNP and ancestry association with Lp(a) levels in ARIC. We found strong association of local ancestry at the LPA locus with Lp(a) level (p<2.2×10−16) and confirmed association of 7 of the 10 SNPs at p<0.005 (Table S3). Furthermore, in keeping with the cross-validation results in JHS, we found that our 10 SNP model explained 71% of the association of local ancestry with Lp(a) level. However, despite these strong associations with Lp(a) level, we found no association of any of the 10 SNPs, or the 10 SNP model with the 389 incident CHD outcomes in the 3225 ARIC participants with surveillance data (Table S3). Furthermore, no significant association was seen for global (p = 0.14, β = −0.76, 95% CI −1.79–0.25) or local ancestry with CHD outcomes (p = 0.31, β = 0.12, 95% CI −0.11–0.34).
We were interested in determining whether we were adequately powered to detect an effect of genotype on myocardial infarction. Within ARIC, Lp(a) levels have weak associations with CHD outcomes, with a previously reported relative risk of 1.15 for African American women and 1.01 for African American men per unit standard deviation in Lp(a) level (∼100 mg/dL) . As relative risk and hazard ratios (HR) are not readily comparable, we used the previously reported HR of 1.22 per doubling of Lp(a) level  observed in European populations and estimated that we would have to be powered to detect an HR of 1.07 for the corresponding ∼25% change in Lp(a) seen per allele of rs9457951. Simulation-based power estimates using the exponential distribution to model survival times demonstrated that we with the 389 outcomes in ARIC, we only had 12% power to detect an HR of 1.07 or less at p<0.05 for the rs9457951 allele (see Methods).
Lp(a)-associated SNP Regions Harbor Potential Transcription Factor Binding Sites
In addition to identifying SNPs that may contribute to disease risk, genetic association studies have the potential to illuminate the regulatory transcriptional architecture of quantitative traits. Recent studies have mapped transcription factor motifs to DNA sequences harboring genetic variants and have subsequently used chromatin immunoprecipitation to demonstrate genotype-dependent occupancy of the binding site . To identify potential transcription factor binding sites that may be influenced by genetic variation at the Lp(a) locus, we scanned the genomic sequences surrounding the 24 Lp(a) associated SNPs using Jaspar (http://www.jaspar.genereg.net) and Transfac (http://www.gene-regulation.com) positional weight matrices (PWMs) with quantitative thresholds for match quality (see Methods). We focused on transcription factors with previously documented expression in liver (the site of Lp(a) production) and identified 7 SNPs for which genetic variation is likely to influence binding of such transcription factors (Figure 5). The transcription factors for the various SNPs include members of the GATA (rs3124787, rs6919346, rs6926458), and Forkhead families (rs2255830, rs2457550). Interestingly, the strongly associated rs6930542 SNP is expected to influence the binding of YY1, a ubiquitously expressed transcription factor with potential for either activating or repressive effects on gene expression . In this case the C allele associated with higher Lp(a) levels and higher frequencies in African ancestral populations would be expected to disrupt YY1 binding, suggesting that the baseline transcriptional effect of YY1 at this site would be repressive. Further experiments in liver tissue and/or cell lines will be needed to validate these predictions.
Sequences surrounding each of the 24 Lp(a) significantly associated SNPs were scanned for transcription factor binding motifs from the Transfac and Jaspar databases. Sequence logos for binding motifs predicted to be disrupted by allelic variation are displayed along with the HGNC symbol of associated transcription factor and the Jaspar or Transfac motif ID. Only transcription factors with literature evidence of liver expression are shown.
We have used a combination of admixture mapping and fine-mapping adjusted for local ancestry to characterize the genetic basis of interethnic differences in Lp(a) levels. Given that there is a pronounced influence of global ancestry on Lp(a) levels within African Americans (∼10% change in Lp(a) per 10% increase in African ancestry), genetic determinants of this association might, in fact, explain much of the difference in Lp(a) levels between African and European American populations. Towards this end, dense fine-mapping identified common biallelic SNPs that account for >70% of the global and local ancestry signal. Furthermore, the observed, prominent peak of admixture association indicated that variants differing in frequency between the African and European ancestral populations are important determinants of Lp(a) level in African Americans. One of these variants, rs9457951, explains up to 5% of Lp(a) variance, and, in combination with additional common SNPs, accounts for a total of 7% of variance.
We replicated the association of rs9457951 in the DHS cohort and demonstrated that the effect of rs9457951 is even more marked on isoform-adjusted Lp(a) levels. Similarly, rs9457951 explains a large proportion of the LPA local ancestry signal in DHS. In contrast to the recently described association of biallelic variants rs3798220 and rs10455872 with Lp(a) levels in Caucasian populations , no single common biallelic LPA variant explains a large proportion of variation in Lp(a) levels in African Americans. This is most likely a reflection of limited linkage disequilibrium between extreme kringle(IV) repeat numbers and common SNPs on the African ancestral background and is in keeping with recently observed genetic architecture for the Lp(a) locus in Chinese and South-Asian populations . In contrast to common biallelic SNPs, kringle(IV) copy numbers explained >40% of Lp(a) variance in DHS. Additional copy number variants and less common biallelic variants within LPA and other genes are expected to contribute to the remainder of the variance.
We further replicated the strong association of LPA local ancestry with Lp(a) levels in a third large cohort of African Americans and confirmed association of the majority of the SNPs in our multi-SNP model. However, we found no significant association of any LPA variant with CHD outcomes. This negative result can be attributed in part to the lower contribution of individual biallelic variants on Lp(a) levels in African Americans as compared to that seen for European Americans  as evidenced by our low power (12%) to detect the expected HR. It remains to be seen whether, with a much larger number of CHD cases, an association with biallelic variants in the LPA genes will be seen in African Americans.
This study was conducted according to the principles expressed in the Declaration of Helsinki. The study was approved by the Institutional Review Board of the Jackson Heart Study, ARIC and Dallas Heart Study. All patients provided written informed consent for the collection of samples and subsequent analysis.
Selection of Case and Control samples
Participants in the discovery sample for this study (n = 4605) were all self-identified African Americans in the Jackson Heart Study . Between Sept. 2000 and March 2004, 5,301 African Americans were recruited from three counties, Hinds, Rankin, and Madison, which comprise the Jackson, MS metropolitan area. Unrelated JHS participants were drawn from three sources in roughly equal numbers: (1) former ARIC participants; (2) participants selected randomly from a commercial residential listing; and (3) a constrained volunteer sample for which demographic cells for recruitment were designed to mirror the overall target population. 4464 individuals were successfully genotyped on the admixture panel , , . DHS samples were previously described in . The ARIC study is a prospective cohort study of 15,792 participants investigating the etiology of atherosclerosis and described in detail elsewhere .
Serum Lp(a) was analyzed in JHS samples by a Diasorin nephelometric assay on a Roche Cobas FARA analyzer . Lp(a) was analyzed in DHS using a sandwich ELISA that is insensitive to apo(a) isoform size . Isoform number was determined in DHS by immunoblot analysis with an LPA-specific antibody . Lp(a) was analyzed in ARIC using a double-antibody ELISA .
Linear regression analyses were used to evaluate association of ancestry with Lp(a) levels. Association analyses were performed using a combination of MERLIN  and R (www.Rproject.org). MERLIN was used to obtain p-values and regression coefficients over the entire cohort, accounting for the family structure among related individuals in JHS. For cross-validation, which was needed for accurate estimates of SNP contribution to Lp(a) variance (total and ancestry-specific), we used R (2.9.1), which allowed greater analytic flexibility. However, since we were unable to correct for family structure in cross-validation analyses, we randomly selected only one member of each family to be included in any given analysis. To minimize bias, we generated 100 overlapping groups of 3300 unrelated individuals and conducted all statistical analyses on each set, averaging the results. The pairwise LD plot was generated using the LDheatmap package in R.
Linear Regression Models
Lp(a) values in mg/dL were log transformed. Sex-adjusted Lp(a) was used as the phenotype in association analyses with global ancestry, local ancestry, and genotype – we did not see a significant association of Lp(a) levels with age. For genotype-phenotype association analyses, we assumed an additive mode of inheritance and tested for the strength of association by ANOVA  with nested linear regression models, which included global ancestry, local ancestry, and local ancestry + genotype. The genotype-local ancestry interaction term was computed as a product of the local-ancestry term and SNP genotype, and is a continuous variable ranging from of 0 to 2. We conducted separate linear regression in a subset of 1831 individuals with a >95% probability of two African ancestry alleles at the LPA locus and in a subset of 615 individuals with a high (>95%) probability of 1 or more European ancestral alleles (local ancestry >48% European ancestry). We also identified a small subgroup of 46 individuals with >95% probability of two European ancestral alleles JHS-EUR-2LPA for calculation of allele frequencies and linkage disequilibrium parameters (Table 1). Effect sizes were estimated by evaluating what effect a unit change in genotype would have on the predicted value of the trait.
Multi-SNP models were identified with stepwise linear regression and the anova function in R. For each of the 100 sets of 3300 unrelated individuals, the top SNP associated with the phenotype residual of interest was identified and added to the regression model. The remaining SNPs were then each tested sequentially by ANOVA by comparing the model with and without the SNP and adding the SNP to the model if the p-value for comparison was <0.05. At each step this process was performed for each of the 100 sets of individuals and the average p-value for all sets was determined. The process was continued until no additional SNP improved the model at the p<0.05 threshold.
Cross-Validation for Assessment of Percentage of Lp(a) Variance Explained
Cross validation was used for estimation of contribution of individual SNPs and a multi-SNP model to Lp(a) variance. For multi-SNP model assessment, each of the 100 groups of 3300 unrelated JHS individuals was randomly divided into 5 sets. For each group, 3 sets were used for SNP discovery (p<0.05 for association with sex and ancestry-adjusted Lp(a)), one used to build a model by stepwise regression/ANOVA (including coefficient estimation), and the fifth used as a test set to evaluate either the percentage of residual variance or local-ancestry specific variance explained. The roles of each set were rotated to obtain unbiased estimates across the entire cohort. For single-SNP assessment, two-fold cross-validation was performed, with one set used for coefficient estimation and the second for determination of the percentage of Lp(a) variance explained. The percentage of local ancestry-specific variance in Lp(a) explained was calculated as described in the Results section.
The local ancestry estimate at LPA was improved by forcing rs9457951 into the set of markers used to estimate local ancestry. This estimate was used for all analyses. Estimation of allele frequencies and r2 for SNPs was performed using the R GeneticsBase package.
We focused on 3225 African Americans in ARIC for this analysis, excluding individuals based on the following criteria; participants from centers with small numbers (n = 55), prevalent CHD (n = 139), missing data for prevalent CHD (n = 63), and missing genotype data for the respective SNPs. The final analysis sample included 389 incident CHD cases. Ascertainment and standardized case definitions for CHD have been described elsewhere . Ten LPA SNPs were genotyped on stored DNA using the TaqMan® System. We tested for Hardy Weinberg equilibrium using the χ2 goodness of fit test. Cox proportional hazard regression was used to estimate the associations of SNPs and incident events and linear regression was used for associations of SNP genotype and ancestry with log-transformed Lp(a) levels. All data were analyzed with STATA, Version 10.1.
Power calculations for rs9457951 were conducted by simulation of the Cox Proportional Hazards Model in R as described . We estimated that if the hazard ratio (HR) matched that seen in , which was 1.22 for a doubling of Lp(a) level, we should see an HR of 1.067 for a change in 25% in serum Lp(a), which is that seen for inheritance of each allele of rs9457951 (or rs6390542). We estimated our power to detect such an HR as follows. For each of 1000 iterations, using the estimated allele frequency in ARIC, genotypes (zi) were randomly sampled for 3225 individuals. We then simulated survival times for the ith individual were generated randomly using the exponential distribution, conditional on genotype and HR, where the HR was drawn from a normal distribution with mean = 1.067 and standard deviation (as a percentage of mean) matching that seen for age in the Cox Proportional Hazards model. A survival time threshold for each simulation was selected so that the number of CHD outcomes matched that seen in ARIC (389). The significance of the association of genotype with CHD outcome was determined using the coxph function in R. The process was repeated 1000 times and the percentage of significant associations (p<0.05) – which was found to be 11.7% - was used to estimate power.
To determine case and control samples for admixture mapping, individuals were ranked in terms of increasing gender-adjusted Lp(a) level (age was not seen as a significant covariate), and the top and bottom quintiles were used as cases and controls, respectively.
Admixture Mapping and Markov Chain Monte Carlo data analysis for inference of ancestry and testing of disease association.
The ANCESTRYMAP software  was used for all analyses. The program generates local ancestry estimates by integrating information from a panel of densely spaced markers differentiated in frequency between African and European populations. The use of admixture mapping in JHS has been described previously , , . Briefly, we focused on the use of a “Cases-Only” statistic, looking at regions in the genome where the local ancestry in Cases deviates significantly from the average ancestry across the genome. The control population was used to ensure that no artifact contributed to the increase in ancestry at the peak (i.e. we expect that controls should have a change in ancestry in the opposite direction). Admixture peaks were defined by regions where posterior LOD scores exceed 0. Bayesian 95% credible intervals were then computed by plotting the posterior LOD scores across the chromosome of interest and defining the region centered on the maximum LOD score that included 95% of the peak area.
Genotyping was performed on the Sequenom platform, which utilizes matrix-assisted laser-desorption ionization time-of-flight mass spectroscopy. SNPs with a genotype call rate <90% (n = 12) and individuals with genotyping success rates <f85% (n = 141) were excluded from analysis. Using Tagger , SNPs were selected to tag the LPA gene (including 10 kb upstream and downstream) locus at an r2 of 1.0 with a minor allele frequency (MAF) ≥2% in the Yoruba West African HapMap population (YRI) using HapMap release #24. We then forced these SNPs into Tagger to tag this region in CEU at an r2 of 1.0 with MAF ≥2%.
Prediction of Transcription Factor Binding Sites at SNP regions
Positional weight matrices (PWMs) for mammalian transcription factors (TFs) were obtained from the Jaspar  (http://www.jaspar.genereg.net) and Transfac  (http://www.gene-regulation.com) databases. To compute a probability of protein occupancy for each transcription factor at each site, a previously described method was adapted . Briefly, binding of protein X to site i was modeled using the simple binding isotherm:where [X] is the free concentration of protein X and Kd,X,i is the sequence-dependent dissociation constant for protein X at site i. Although [X] is not known in most experimental situations, it can be estimated as equal to the dissociation constant for the optimal binding site in the genome, thus leading to a probability of occupancy of 50% at optimal sites. The dissociation constant is calculated from the free energy of binding, which in turn is estimated from comparing the observed frequency fbj of base b at each position j in the PWM with the background frequency of that base pb in the genome:
The genomic sequences 20 bases upstream and downstream of each LPA SNP of interest were downloaded from the UCSC Genome Browser (http://genome.ucsc.edu/). For each of the 1445 Transfac and Jaspar PWM's a maximal probability of occupancy was computed for sliding windows across the 41bp. Motifs shown in Figure 5 correspond to transcription factors with probabilities of occupancy >0.20 and a difference in probability between the two alleles of >0.20. Results were robust to probability ranges between 0.10 and 0.30. Identified transcription factors were confirmed to have previously documented expression in mammalian liver by consulting the Human Protein Reference Database  (http://www.hprd.org) and PubMed (http://www.pubmed.org).
Pairwise linkage disequilibrium measures (r2) for significantly associated SNPs in the JHS European local ancestry subpopulation.
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Association of LPA variants with Lp(a) levels. p-values for association of Lp(a) with genotype in the total population (pall), JHS-AFR-2LPA (pafr), and JHS-EUR-1_2LPA (peur). SNPs with p<0.00085 are denoted by an asterisk. The SNP frequencies of the allele producing higher Lp(a) levels in the total population (fall) is shown, along with the corresponding frequency in JHS-AFR-2LPA (fafr) and JHS-EUR-2LPA (feur). The chromosomal position in bases (NCBI Build 36) is also provided.
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Effect of LPA variants on Association of LPA local ancestry with Lp(a) levels. π, which is the fraction of ancestry-specific variation in Lp(a) levels explained by genotype, is shown for the genotyped SNPs that account for the greatest amount of ancestry specific variance. The SNP frequencies and effect sizes in the overall population are shown as in Table 2; pall is shown as in Table S1.
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Effect of LPA variants on Lp(a) levels and CHD outcomes in ARIC. P-values for association of SNPs with Lp(a) levels in a linear regression model with age and gender are shown, along with coefficients, confidence interval (CI) and p-value for association with CHD outcomes in a Cox regression model. A p-value for the significance of including 10 SNP genotypes in a model to predict CHD outcomes was computed using the log-likelihood ratio test.
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We thank the participants of the Jackson Heart Study (JHS), the Dallas Heart Study (DHS), and the Atherosclerosis Risk in Communities (ARIC) Study, as well as the staff of all three studies. We would like to thank Helen Hobbs and Jonathan Cohen for helpful comments on an earlier draft of this manuscript.
Conceived and designed the experiments: RCD JGW CX DR NP HATJ. Analyzed the data: RCD JGW CX KL WHLK AT ELA NP EB. Contributed reagents/materials/analysis tools: JGW CX DR THMJ EB HATJ. Wrote the paper: RCD JGW.
- 1. Kamstrup PR, Tybjaerg-Hansen A, Steffensen R, Nordestgaard BG (2009) Genetically elevated lipoprotein(a) and increased risk of myocardial infarction. JAMA 301: 2331–2339.PR KamstrupA. Tybjaerg-HansenR. SteffensenBG Nordestgaard2009Genetically elevated lipoprotein(a) and increased risk of myocardial infarction.JAMA30123312339
- 2. Suk Danik J, Rifai N, Buring JE, Ridker PM (2006) Lipoprotein(a), measured with an assay independent of apolipoprotein(a) isoform size, and risk of future cardiovascular events among initially healthy women. JAMA 296: 1363–1370.J. Suk DanikN. RifaiJE BuringPM Ridker2006Lipoprotein(a), measured with an assay independent of apolipoprotein(a) isoform size, and risk of future cardiovascular events among initially healthy women.JAMA29613631370
- 3. Bennet A, Di Angelantonio E, Erqou S, Eiriksdottir G, Sigurdsson G, et al. (2008) Lipoprotein(a) levels and risk of future coronary heart disease: large-scale prospective data. Arch. Intern. Med 168: 598–608.A. BennetE. Di AngelantonioS. ErqouG. EiriksdottirG. Sigurdsson2008Lipoprotein(a) levels and risk of future coronary heart disease: large-scale prospective data. Arch. Intern.Med168598608
- 4. Boerwinkle E, Leffert CC, Lin J, Lackner C, Chiesa G, et al. (1992) Apolipoprotein(a) gene accounts for greater than 90% of the variation in plasma lipoprotein(a) concentrations. J. Clin. Invest 90: 52–60.E. BoerwinkleCC LeffertJ. LinC. LacknerG. Chiesa1992Apolipoprotein(a) gene accounts for greater than 90% of the variation in plasma lipoprotein(a) concentrations. J. Clin.Invest905260
- 5. Mooser V, Scheer D, Marcovina SM, Wang J, Guerra R, et al. (1997) The Apo(a) gene is the major determinant of variation in plasma Lp(a) levels in African Americans. Am. J. Hum. Genet 61: 402–417.V. MooserD. ScheerSM MarcovinaJ. WangR. Guerra1997The Apo(a) gene is the major determinant of variation in plasma Lp(a) levels in African Americans. Am. J. Hum.Genet61402417
- 6. Lackner C, Cohen JC, Hobbs HH (1993) Molecular definition of the extreme size polymorphism in apolipoprotein(a). Hum. Mol. Genet 2: 933–940.C. LacknerJC CohenHH Hobbs1993Molecular definition of the extreme size polymorphism in apolipoprotein(a). Hum. Mol.Genet2933940
- 7. van der Hoek YY, Wittekoek ME, Beisiegel U, Kastelein JJ, Koschinsky ML (1993) The apolipoprotein(a) kringle IV repeats which differ from the major repeat kringle are present in variably-sized isoforms. Hum. Mol. Genet 2: 361–366.YY van der HoekME WittekoekU. BeisiegelJJ KasteleinML Koschinsky1993The apolipoprotein(a) kringle IV repeats which differ from the major repeat kringle are present in variably-sized isoforms. Hum. Mol.Genet2361366
- 8. Gavish D, Azrolan N, Breslow JL (1989) Plasma Ip(a) concentration is inversely correlated with the ratio of Kringle IV/Kringle V encoding domains in the apo(a) gene. J. Clin. Invest 84: 2021–2027.D. GavishN. AzrolanJL Breslow1989Plasma Ip(a) concentration is inversely correlated with the ratio of Kringle IV/Kringle V encoding domains in the apo(a) gene. J. Clin.Invest8420212027
- 9. White AL, Hixson JE, Rainwater DL, Lanford RE (1994) Molecular basis for “null” lipoprotein(a) phenotypes and the influence of apolipoprotein(a) size on plasma lipoprotein(a) level in the baboon. J. Biol. Chem 269: 9060–9066.AL WhiteJE HixsonDL RainwaterRE Lanford1994Molecular basis for “null” lipoprotein(a) phenotypes and the influence of apolipoprotein(a) size on plasma lipoprotein(a) level in the baboon. J. Biol.Chem26990609066
- 10. Chretien J, Coresh J, Berthier-Schaad Y, Kao WHL, Fink NE, et al. (2006) Three single-nucleotide polymorphisms in LPA account for most of the increase in lipoprotein(a) level elevation in African Americans compared with European Americans. J. Med. Genet 43: 917–923.J. ChretienJ. CoreshY. Berthier-SchaadWHL KaoNE Fink2006Three single-nucleotide polymorphisms in LPA account for most of the increase in lipoprotein(a) level elevation in African Americans compared with European Americans. J. Med.Genet43917923
- 11. Sandholzer C, Hallman DM, Saha N, Sigurdsson G, Lackner C, et al. (1991) Effects of the apolipoprotein(a) size polymorphism on the lipoprotein(a) concentration in 7 ethnic groups. Hum. Genet 86: 607–614.C. SandholzerDM HallmanN. SahaG. SigurdssonC. Lackner1991Effects of the apolipoprotein(a) size polymorphism on the lipoprotein(a) concentration in 7 ethnic groups. Hum.Genet86607614
- 12. Marcovina SM, Albers JJ, Wijsman E, Zhang Z, Chapman NH, et al. (1996) Differences in Lp[a] concentrations and apo[a] polymorphs between black and white Americans. J Lipid Res 37: 2569–2585.SM MarcovinaJJ AlbersE. WijsmanZ. ZhangNH Chapman1996Differences in Lp[a] concentrations and apo[a] polymorphs between black and white Americans.J Lipid Res3725692585
- 13. Deo RC, Reich D, Tandon A, Akylbekova E, Patterson N, et al. (2009) Genetic differences between the determinants of lipid profile phenotypes in African and European Americans: the Jackson Heart Study. PLoS Genet 5: e1000342.RC DeoD. ReichA. TandonE. AkylbekovaN. Patterson2009Genetic differences between the determinants of lipid profile phenotypes in African and European Americans: the Jackson Heart Study.PLoS Genet5e1000342
- 14. Clarke R, Peden JF, Hopewell JC, Kyriakou T, Goel A, et al. (2009) Genetic variants associated with Lp(a) lipoprotein level and coronary disease. N. Engl. J Med 361: 2518–2528.R. ClarkeJF PedenJC HopewellT. KyriakouA. Goel2009Genetic variants associated with Lp(a) lipoprotein level and coronary disease. N. Engl.J Med36125182528
- 15. Taylor HA, Wilson JG, Jones DW, Sarpong DF, Srinivasan A, et al. (2005) Toward resolution of cardiovascular health disparities in African Americans: design and methods of the Jackson Heart Study. Ethn Dis 15: S6–4-17.HA TaylorJG WilsonDW JonesDF SarpongA. Srinivasan2005Toward resolution of cardiovascular health disparities in African Americans: design and methods of the Jackson Heart Study.Ethn Dis15S64-17
- 16. Reich D, Patterson N, Ramesh V, De Jager PL, McDonald GJ, et al. (2007) Admixture mapping of an allele affecting interleukin 6 soluble receptor and interleukin 6 levels. Am. J. Hum. Genet 80: 716–726.D. ReichN. PattersonV. RameshPL De JagerGJ McDonald2007Admixture mapping of an allele affecting interleukin 6 soluble receptor and interleukin 6 levels. Am. J. Hum.Genet80716726
- 17. Patterson N, Hattangadi N, Lane B, Lohmueller KE, Hafler DA, et al. (2004) Methods for high-density admixture mapping of disease genes. Am. J. Hum. Genet 74: 979–1000.N. PattersonN. HattangadiB. LaneKE LohmuellerDA Hafler2004Methods for high-density admixture mapping of disease genes. Am. J. Hum.Genet749791000
- 18. Schreiner PJ, Heiss G, Tyroler HA, Morrisett JD, Davis CE, et al. (1996) Race and gender differences in the association of Lp(a) with carotid artery wall thickness. The Atherosclerosis Risk in Communities (ARIC) Study. Arterioscler. Thromb. Vasc. Biol 16: 471–478.PJ SchreinerG. HeissHA TyrolerJD MorrisettCE Davis1996Race and gender differences in the association of Lp(a) with carotid artery wall thickness. The Atherosclerosis Risk in Communities (ARIC) Study. Arterioscler. Thromb. Vasc.Biol16471478
- 19. Guerra R, Yu Z, Marcovina S, Peshock R, Cohen JC, et al. (2005) Lipoprotein(a) and apolipoprotein(a) isoforms: no association with coronary artery calcification in the Dallas Heart Study. Circulation 111: 1471–1479.R. GuerraZ. YuS. MarcovinaR. PeshockJC Cohen2005Lipoprotein(a) and apolipoprotein(a) isoforms: no association with coronary artery calcification in the Dallas Heart Study.Circulation11114711479
- 20. Sharrett AR, Ballantyne CM, Coady SA, Heiss G, Sorlie PD, et al. (2001) Coronary heart disease prediction from lipoprotein cholesterol levels, triglycerides, lipoprotein(a), apolipoproteins A-I and B, and HDL density subfractions: The Atherosclerosis Risk in Communities (ARIC) Study. Circulation 104: 1108–1113.AR SharrettCM BallantyneSA CoadyG. HeissPD Sorlie2001Coronary heart disease prediction from lipoprotein cholesterol levels, triglycerides, lipoprotein(a), apolipoproteins A-I and B, and HDL density subfractions: The Atherosclerosis Risk in Communities (ARIC) Study.Circulation10411081113
- 21. Musunuru K, Strong A, Frank-Kamenetsky M, Lee NE, Ahfeldt T, et al. (2010) From noncoding variant to phenotype via SORT1 at the 1p13 cholesterol locus. Nature 466: 714–719.K. MusunuruA. StrongM. Frank-KamenetskyNE LeeT. Ahfeldt2010From noncoding variant to phenotype via SORT1 at the 1p13 cholesterol locus.Nature466714719
- 22. Thomas MJ, Seto E (1999) Unlocking the mechanisms of transcription factor YY1: are chromatin modifying enzymes the key? Gene 236: 197–208.MJ ThomasE. Seto1999Unlocking the mechanisms of transcription factor YY1: are chromatin modifying enzymes the key?Gene236197208
- 23. Lanktree MB, Anand SS, Yusuf S, Hegele RA (2010) Comprehensive analysis of genomic variation in the LPA locus and its relationship to plasma lipoprotein(a) in South Asians, Chinese, and European Caucasians. Circ Cardiovasc Genet 3: 39–46.MB LanktreeSS AnandS. YusufRA Hegele2010Comprehensive analysis of genomic variation in the LPA locus and its relationship to plasma lipoprotein(a) in South Asians, Chinese, and European Caucasians.Circ Cardiovasc Genet33946
- 24. Nalls MA, Wilson JG, Patterson NJ, Tandon A, Zmuda JM, et al. (2008) Admixture mapping of white cell count: genetic locus responsible for lower white blood cell count in the Health ABC and Jackson Heart studies. Am. J. Hum. Genet 82: 81–87.MA NallsJG WilsonNJ PattersonA. TandonJM Zmuda2008Admixture mapping of white cell count: genetic locus responsible for lower white blood cell count in the Health ABC and Jackson Heart studies. Am. J. Hum.Genet828187
- 25. Reich D, Nalls MA, Kao WHL, Akylbekova EL, Tandon A, et al. (2009) Reduced neutrophil count in people of African descent is due to a regulatory variant in the Duffy antigen receptor for chemokines gene. PLoS Genet 5: e1000360.D. ReichMA NallsWHL KaoEL AkylbekovaA. Tandon2009Reduced neutrophil count in people of African descent is due to a regulatory variant in the Duffy antigen receptor for chemokines gene.PLoS Genet5e1000360
- 26. Victor RG, Haley RW, Willett DL, Peshock RM, Vaeth PC, et al. (2004) The Dallas Heart Study: a population-based probability sample for the multidisciplinary study of ethnic differences in cardiovascular health. Am. J Cardiol 93: 1473–1480.RG VictorRW HaleyDL WillettRM PeshockPC Vaeth2004The Dallas Heart Study: a population-based probability sample for the multidisciplinary study of ethnic differences in cardiovascular health. Am.J Cardiol9314731480
- 27. The Atherosclerosis Risk in Communities (ARIC) Study: design and objectives. The ARIC investigators (1989) Am J Epidemiol 129: 687–702.The Atherosclerosis Risk in Communities (ARIC) Study: design and objectives. The ARIC investigators1989Am J Epidemiol129687702
- 28. Carpenter MA, Crow R, Steffes M, Rock W, Heilbraun J, et al. (2004) Laboratory, reading center, and coordinating center data management methods in the Jackson Heart Study. Am. J. Med. Sci 328: 131–144.MA CarpenterR. CrowM. SteffesW. RockJ. Heilbraun2004Laboratory, reading center, and coordinating center data management methods in the Jackson Heart Study. Am. J. Med.Sci328131144
- 29. Marcovina SM, Albers JJ, Gabel B, Koschinsky ML, Gaur VP (1995) Effect of the number of apolipoprotein(a) kringle 4 domains on immunochemical measurements of lipoprotein(a). Clin. Chem 41: 246–255.SM MarcovinaJJ AlbersB. GabelML KoschinskyVP Gaur1995Effect of the number of apolipoprotein(a) kringle 4 domains on immunochemical measurements of lipoprotein(a). Clin.Chem41246255
- 30. Marcovina SM, Hobbs HH, Albers JJ (1996) Relation between number of apolipoprotein(a) kringle 4 repeats and mobility of isoforms in agarose gel: basis for a standardized isoform nomenclature. Clin. Chem 42: 436–439.SM MarcovinaHH HobbsJJ Albers1996Relation between number of apolipoprotein(a) kringle 4 repeats and mobility of isoforms in agarose gel: basis for a standardized isoform nomenclature. Clin.Chem42436439
- 31. Schreiner PJ, Morrisett JD, Sharrett AR, Patsch W, Tyroler HA, et al. (1993) Lipoprotein[a] as a risk factor for preclinical atherosclerosis. Arterioscler. Thromb 13: 826–833.PJ SchreinerJD MorrisettAR SharrettW. PatschHA Tyroler1993Lipoprotein[a] as a risk factor for preclinical atherosclerosis. Arterioscler.Thromb13826833
- 32. Abecasis GR, Wigginton JE (2005) Handling marker-marker linkage disequilibrium: pedigree analysis with clustered markers. Am. J. Hum. Genet 77: 754–767.GR AbecasisJE Wigginton2005Handling marker-marker linkage disequilibrium: pedigree analysis with clustered markers. Am. J. Hum.Genet77754767
- 33. Draper NR, Smith H, Pownell E (1998) Applied regression analysis. New York: Wiley. 407 p.NR DraperH. SmithE. Pownell1998Applied regression analysis.New YorkWiley407
- 34. White AD, Folsom AR, Chambless LE, Sharret AR, Yang K, et al. (1996) Community surveillance of coronary heart disease in the Atherosclerosis Risk in Communities (ARIC) Study: methods and initial two years' experience. J Clin Epidemiol 49: 223–233.AD WhiteAR FolsomLE ChamblessAR SharretK. Yang1996Community surveillance of coronary heart disease in the Atherosclerosis Risk in Communities (ARIC) Study: methods and initial two years' experience.J Clin Epidemiol49223233
- 35. Zhou M (2001) Understanding the Cox Regression Models with Time-Change Covariates. The American Statistician 55: 153–155.M. Zhou2001Understanding the Cox Regression Models with Time-Change Covariates.The American Statistician55153155
- 36. de Bakker PIW, Yelensky R, Pe'er I, Gabriel SB, Daly MJ, et al. (2005) Efficiency and power in genetic association studies. Nat. Genet 37: 1217–1223.PIW de BakkerR. YelenskyI. Pe'erSB GabrielMJ Daly2005Efficiency and power in genetic association studies. Nat.Genet3712171223
- 37. Sandelin A, Alkema W, Engström P, Wasserman WW, Lenhard B (2004) JASPAR: an open-access database for eukaryotic transcription factor binding profiles. Nucleic Acids Res 32: D91–94.A. SandelinW. AlkemaP. EngströmWW WassermanB. Lenhard2004JASPAR: an open-access database for eukaryotic transcription factor binding profiles.Nucleic Acids Res32D9194
- 38. Matys V, Fricke E, Geffers R, Gössling E, Haubrock M, et al. (2003) TRANSFAC: transcriptional regulation, from patterns to profiles. Nucleic Acids Res 31: 374–378.V. MatysE. FrickeR. GeffersE. GösslingM. Haubrock2003TRANSFAC: transcriptional regulation, from patterns to profiles.Nucleic Acids Res31374378
- 39. Granek JA, Clarke ND (2005) Explicit equilibrium modeling of transcription-factor binding and gene regulation. Genome Biol 6: R87.JA GranekND Clarke2005Explicit equilibrium modeling of transcription-factor binding and gene regulation.Genome Biol6R87
- 40. Peri S, Navarro JD, Kristiansen TZ, Amanchy R, Surendranath V, et al. (2004) Human protein reference database as a discovery resource for proteomics. Nucleic Acids Res 32: D497–501.S. PeriJD NavarroTZ KristiansenR. AmanchyV. Surendranath2004Human protein reference database as a discovery resource for proteomics.Nucleic Acids Res32D497501