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Mixed-Model Reanalysis of Primate Data Suggests Tissue and Species Biases in Oligonucleotide-Based Gene Expression Profiles
Wen-Ping Hsieha, Tzu-Ming Chub, Russell D. Wolfingerb, and Greg Gibsonaa Bioinformatics Research Center, North Carolina State University, Raleigh, North Carolina 27695
b SAS Institute, Cary, North Carolina 27513
Corresponding author: Greg Gibson, Gardner Hall, North Carolina State University, Raleigh, NC 27695-7614., ggibson{at}unity.ncsu.edu (E-mail)
Communicating editor: M. FELDMAN
| ABSTRACT |
|---|
An emerging issue in evolutionary genetics is whether it is possible to use gene expression profiling to identify genes that are associated with morphological, physiological, or behavioral divergence between species and whether these genes have undergone positive selection. Some of these questions were addressed in a recent study (![]()
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ONE of the most interesting applications of gene expression profiling in evolutionary genetics is the comparison of transcript abundance among closely related species. Given that studies of yeast, flies, and killifish have each suggested that between 10 and 25% of the transcriptome differs significantly in expression level between any two individuals of the same species (![]()
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The first effort to address these questions in relation to human evolution was recently published by Pääbo and co-workers (![]()
Although it is easy to criticize this study over concerns such as the small sample size, the suitability of senescent individuals, and the validity of extrapolating to general conclusions on the basis of a small section of the brain, it is also the case that the already rich data set will support further quantitative analyses that may be of interest. In the reanalysis of the data reported here, we sought to address the following questions: how many of the genes on the array are actually significantly more divergent between than within species; what is the mean magnitude of expression divergence between species; why did one of the human samples have an average difference from the other two that was as great as their overall divergence from the chimps; what is the nature of the genes that have diverged in expression; and do the same genes diverge between all three species? Our major finding is that gene expression actually diverges more between human and chimp liver samples than between human and chimp brain samples.
In the course of our analyses, we also noted biases in the directionality and significance of changes in expression that led us to question whether the Affymetrix technology is really suitable for interspecific comparisons. We implemented mixed-model analysis of variance in SAS (![]()
![]()
| MATERIALS AND METHODS |
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Mixed-model analysis of variance:
Variation in gene expression was assessed using a two-step strategy essentially as outlined in ![]()
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The second modeling step was to fit gene-specific mixed models using PROC MIXED in SAS as follows:

PMijkl denotes the perfect-match expression measurement of the kth probe of the lth individual for ith species (human, chimp, or orangutan) in the jth tissue (brain or liver). S, T, and P represent the fixed effects of species, tissues, and probes, respectively. Individual effects within species were specified as random effects and assumed to be independent and identically distributed according to a normal distribution with mean zero and variance
2r. The
ijkl's were also specified as independent and identical normal distributions with mean zero and variance
2 that are independent of the Rl(ij)'s. For the comparison in Fig 6, variance components of species effects were zero for a large fraction of genes, so we instead present results of a simplified general linear model run with PROC GLM in SAS on the reduced data consisting of human and chimp brain arrays only.
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Correlation coefficients for filtering probes:
Correlation coefficients were calculated between log2-transformed human brain PM intensity values (aijk) and corresponding chimp brain values (bijk) from the ith individual, jth sample, and kth probe associated with a particular gene. The expression profile for each species was first calculated as the average probe measure among samples: a..k =
j
iaijk/(I x J), b..k =
j
ibijk/(I x J). Subsequently, the correlation coefficient between the expression profiles of those two species was computed as (
k a..kb..k - K
a...b...)/(
), where a... is the average of a..k and b... is the average of b..k.
Outlier probes were then deleted systematically until the correlation exceeded 0.95. For example, removal of the single inconsistent probes in Fig 4C and Fig D, results in a large increase in the overall correlation between human and primate data. The species effect for the remaining probes is consistent and likely represents a better measure of the true difference in gene expression.
Neighbor-joining trees:
Euclidean distance matrices were computed for each pair of arrays on the least-squares mean gene expression measures from the mixed-model analysis and rescaled to fit the format required by the package PHYLIP (![]()
![]()
Crude estimation of the fraction of genes diverging under positive selection:
Following ![]()
![]()
m2t, where
m2 is the mutational variance and t the time in generations since separation, and the expected level of intraspecific variance, which is assumed to have remained constant in both lineages since divergence, is 2Ne
m2, where Ne is the effective population size. Then the ratio of mean square estimates of the species and individual within-species effects is Fhuman-chimp
[MSspecies/MSInd(species)] x [ 2Ne
m2/
m2t]. The mutational variances cancel out, so that the relationship between the observed and expected ratio of divergence to polymorphic variance is scaled by the ratio 2Ne/t. Assuming an Ne of 10,000 individuals and one generation every 15 years in the 67 million years since divergence between human and chimp, the expected distribution of F ratios is expected to be 2023 times the standard F1,2 distribution (with 1 d.f. for the species comparison and 2 d.f. for the three individuals within each species). The outer 2.5% tail for this comparison must exceed an F value of 39; hence under these conservative conditions only ratios >(39 x 20),
800, provide clear evidence for a rate of expression divergence greater than that expected under this simple neutral model. Only 17 genes satisfy these criteria, but relaxation of the population size to 100,000 individuals and number of generations to 100,000 reduces the expected rate of neutral divergence, and almost 500 of the 12,600 genes (4%) would fall into the unexpectedly rapidly divergent class. This analysis serves primarily to highlight the conclusion that even high ratios of between-species to among-individual variance need not imply the action of positive (diversifying) selection.
| RESULTS |
|---|
Mixed-model analysis of the Affymetrix data:
The primate data set reported by ![]()
12,600 genes was represented by up to 20 unique probes, although these often overlap as described below. These data were analyzed using mixed-model analysis of variance (![]()
![]()
![]()
![]()
Several checks of data quality were performed. Fig 1 shows a "submarine" scatter plot of standardized residuals (the estimated residuals
ijkl divided by the square root of the variance of these residuals for each gene model) against predicted value. While there appear to be a large number of outliers, actually just 0.5% of the probes have standardized residuals >3. Many of these can be attributed to data saturation. Testing for the normality of the distribution of residuals for each gene-specific model indicated that as many as 39% of the genes did not reach the conservative 0.05 significance level. As discussed below, biases in the data due to probe effects may have a particularly large impact on interpretation of contrasts among species.
Levels of divergence within and between species:
Direct visualizations of the significance and magnitude of effects in the primate comparisons are provided by volcano plots for each pairwise species contrast and each tissue in Fig 2. Note that the main-effect estimates are averaged over and adjusted for all of the different oligonucleotide probes for each gene, and significance is assessed in the mixed model, taking into account among-probe variance. Volcano plots contrast significance on the -log10(p) scale against expression difference on the log2 scale. Genes toward the left and right on each plot show a large expression difference, and those toward the top have high significance, with values of 2, 3, etc., representing P values of 10-2, 10-3, etc.
Two features of these plots stand out. First, the number of genes toward the top of each plot is greater for the liver than for the brain contrasts. For example, comparing human and chimp at the 5% significance level, 25% of the genes show evidence for differential transcript abundance in the brain and up to 35% in the liver, with a mean of just a 1.2-fold change in either direction. The numbers increase slightly for the contrasts involving the other species. We confirmed this observation on the human-chimp contrast using the analytical approach implemented in dChip software (![]()
Assessment of the significance of expression differences is complicated by the large number of contrasts that are performed as well as the variable residual variance for each gene. If two genes have the same fold difference between species, but one has higher among-individual variance within species than the other, the significance of the species difference will be elevated for the second gene. Further, the more genes that are assessed, the more likely it is that genes exceed a low significance threshold by chance. Consequently, we present the number of genes that are significant and the associated fold increase or decrease in expression between species at three different significance levels in Table 1. These are 4 x 10-6 (the conservative Bonferroni-adjusted contrast, calculated as 0.05/12,600, and reflected in a negative log10 P value >5.4), 0.001 (-log10 P > 3.0) and 0.05 (-log10 P > 1.301). We also present the average expression difference for both up- and downregulated genes, the percentage of genes that are apparently upregulated, and the percentage of all genes that are differentially expressed for each contrast.
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The murine data set consisted of 14 Affymetrix GeneChips, each containing up to 20 independent oligonucleotide probes for each of
12,488 genes derived from M. musculus sequences. M. musculus and M. spretus were each represented by three individuals, with a single hybridization for each of the two tissues (hence six arrays each), while M. caroli was represented by a single individual (two arrays). We analyzed the data according to the same model as for the primates. The three data quality checks indicated that the data were slightly more favorable for analysis of variance. Only 0.3% of the data points had standardized residuals >3, while 86% of the genes passed the normality test for residuals from the mixed model. However, since there were no replicates of each individual, significance tests are not as powerful as for the primate data. Nevertheless, the overall nature of the analyses is remarkably similar, as documented in Fig 3 and Table 2. Between the two most closely related species, M. musculus and M. spretus,
10% of the genes showed significantly different transcript abundance at the 5% significance level, with an average of almost 1.3-fold change in either direction for both brain and liver. The same biases toward greater divergence in the liver and asymmetric upregulation in the brain favoring M. musculus over M. spretus over M. caroli are observed, though not as strongly as for the primate data.
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From both Table 1 and Table 2, it can be seen that the fraction of genes that appear to be upregulated (that is, expression is greater in species A than in species B) is consistently reduced as the significance level is relaxed (for example, from 95 to 47% for the human-chimp brain contrast). This implies that there is a systematic tendency for overestimation of the expression level for genes in the order human > chimp > orangutan (or underestimation in the opposite order). A similar tendency was observed in the murine data set (M. musculus > M. spretus > M. caroli), and in all cases the consequent apparent bias toward upregulation is observed in the species genetically closest to M. musculus, from which the probe sequences derive.
Probe effects in the context of genetic divergence:
This suggests the hypothesis that apparent upregulation is due to stronger hybridization to individuals of one species over another. At a genome-wide rate of sequence divergence of 1%, if the probes were nonoverlapping, then only one-quarter of them should have any nucleotide differences between species, and only a fraction of these would be near the center of the probe where they are most likely to affect hybridization. Nevertheless, small differences in 2 or 3 probes out of 20 could be sufficient to yield an apparent upregulation of
1.2-fold. It is also noteworthy that the estimated magnitude of downregulation is always less than the estimated magnitude of upregulation at the same significance level (hence, the absolute value of the fold change is always less than the magnitude of upregulation). This is consistent with the idea that reduced hybridization to a few probes in the divergent species contributes to apparent upregulation.
Significance levels are affected by a balance between the fold change averaged across probes (tending to make more genes appear to be upregulated) and the increase in among-probe variance due to sequence divergence for some probes (tending to reduce the significance of contrasts). We thus asked whether the species-by-probe interaction effect in the mixed model for each gene is more likely to be significant for upregulated genes. This effect is small in magnitude, but it is significant for more than half of the genes (see supplementary information at http://www.genetics.org/supplemental/). The red points in the volcano plots in Fig 2 indicate the genes with the top 1% of the most significant species-by-probe interaction effects, and these are almost all apparently upregulated. This result is consistent with the hypothesis that the overwhelming bias toward apparent upregulation in the brain in the phylogenetically closest species, which is expected to show the least sequence divergence, might be attributed to loss of hybridization to a subset of probes.
To further explore whether this is the case, we next examined the actual profiles of fluorescence intensity for representative genes. Fig 4 shows plots of relative fluorescence intensity for human and chimp brain arrays for each probe for a set of six representative genes. The order and spacing of probes along the abscissa is proportional to the number of bases offset along the gene sequence for each probe. Human intensity values are indicated as large open diamonds, and chimp values as small solid boxes. Gene A is an example of a "well-behaved" probe set: despite absolute differences in intensity for each probe, all probes indicate a similar magnitude of upregulation in the human relative to chimp. Gene B by contrast is "poorly behaved" in so far as each probe predicts a different magnitude for the species difference. Gene C is an example of a locus where a single probe that shows much-reduced hybridization to chimp cDNA (the far right probe) would be sufficient to suggest an overall 1.2-fold upregulation in humans relative to chimps. This situation was also occasionally seen in the reverse direction (one probe gives a stronger chimp signal) as shown for gene D. However, many of the cases of strong species-by-probe interaction effects involved multiple probes, as seen for genes E and F. LAMP1 is apparently upregulated in humans, but only one-half of the probes showed the difference, and all of these eight probes overlap with their 5'-most nucleotides separated by just 14 bases. The next two probes, just 9 and 10 bases farther toward the 3', show much reduced species difference. MAP1LC3B gave a similar result, except that the species difference was seen in two nonoverlapping sets of probes. It is sobering in this case that even probes that overlap by all but one nucleotide give 10-fold differences in signal intensity for both species, and severalfold differences between species.
In an attempt to filter out the probe-by-species interactions, we imposed a constraint that genes should be included in the analysis only if the correlation between human and chimp fluorescence intensity exceeded 0.95. So as to include all genes, we wrote a script to systematically remove outlier probes for each gene until this condition was met. Typically this meant removal of just two to five probes per gene, but more than half of the genes showed the high correlation without removing any probes. A plot of the expression difference before filtering against after filtering in Fig 5A shows many more points below the diagonal than above, indicating that the effect of filtering is typically to reduce the magnitude of the apparent upregulation in human brains, as expected. However, the volcano plot for the human vs. chimp brain comparison in Fig 5B remains somewhat asymmetric, and the overall tendency for more genes to be differentially expressed in the liver than in the brain when comparing human and chimp is still apparent (see also Table 1 and supplementary information).
| DISCUSSION |
|---|
Possible biases in oligonucleotide expression data:
Our mixed-model analyses of the primate and murine gene expression data lead to conclusions that are not necessarily consistent with those reported by the original authors (![]()
However, three lines of evidence lead us to question this explanation. The first is that detailed analysis of numerous genes that showed a species-by-probe interaction effect (that is, variable differences in transcript abundance among probes within a gene) indicated a complex relationship between sequence and signal. Overlaying the mismatch probe data on the perfect match data does not help at all as it just increases the noisiness of the results (data not shown; many mismatches hybridize as strongly as the match and the difference between match and mismatch also varies greatly by probe within each gene). Many factors, presumably including amount of cross-hybridization, alternative splicing, and sequence divergence, must contribute to probe effects, and it is not obvious how to deal with these statistically. The fact that Affymetrix's probe selection algorithm tends to choose clusters of sequences that differ by just a few bases also introduces a correlation structure to the data that formally but impractically should be dealt with on a gene-by-gene basis. We and others (![]()
![]()
![]()
The second line of evidence arguing against sequence divergence accounting for all of the biases toward upregulation is that the effect appears to be much greater in the brain samples than in the liver. This could imply that brain proteins are diverging at a faster rate than liver proteins. Comparative sequence analyses will soon resolve this issue. ![]()
Divergent gene expression among primates:
Our reanalysis of ![]()
![]()
Mixed-model analysis provides formal statistical support for 51 genes being differentially expressed between human and chimp Brodmann's area 9 after filtering outlier probes and just under twice this number if raw data is used. At the less conservative significance threshold of 0.001, 482 genes are differentially expressed with an average almost 1.4-fold change between human and chimp brain, compared with a chance expectation of just 13 genes at this level. Based on the raw data, this number increases to 695 genes and to 1595 genes when human is compared to orangutan. For the liver, 1063 genes are differentially expressed between human and chimp, also with an average 1.4-fold change, and 1054 genes between human and orangutan at a slightly higher mean fold change of 1.6. The chimp-orangutan comparisons are intermediate, with slightly more genes differentially expressed with a larger fold change in the liver than in the brain.
Most of our comparisons of species and tissue pairs suggest then that more genes are divergently expressed in the liver than in the brain and that the magnitude of change also tends to be greater in the liver. While it is clear that dramatic cognitive changes have occurred particularly in the human lineage, it also not surprising that transcription has evolved greatly in the liver, given the differences in diet and culture of the primate species. A possible reconciliation of our findings with the inference favored by ![]()
![]()
The nature of the differentially expressed genes is also of interest. Those that are significantly divergent between human and chimp brain and liver are tabulated in supplementary Fig 3 (http://www.genetics.org/supplemental/). A number of neuronal genes such as neurotransmitter receptors and channels are obvious in the brain list, as are detoxification enzymes such as cytochrome P450s on the liver list. However, the majority of genes have more general potential functions in regulation of cell growth and division and cell structure: members of most of the major gene ontology categories are represented in both lists.
Finally, we can also ask whether the divergence in gene expression is more likely attributable to drift or diversifying selection. A significantly elevated measure of divergence in expression between species, relative to the observed level of among-individual within-species variation, is not prima facie evidence for selection. Fig 6A shows that the most significant genes in the human vs. chimp brain comparison both diverge between species and have relatively low levels of intraspecific variance. For a large number of genes this relationship is reversed. In fact, a histogram of the log ratios of the mean squares for the species and individual within-species components is slightly skewed toward low ratios, suggesting that many genes may be more variable within species than expected. ![]()
![]()
| ACKNOWLEDGMENTS |
|---|
We thank Svante Pääbo for correspondence and comments on the analysis of data generated in his laboratory and Bruce Weir, Zhao-Bang Zeng, Spencer Muse, and Maryellen Ruvolo for discussions. W.P.H. is supported by a genome science graduate fellowship from the Bioinformatics Program at North Carolina State University, and research in G.G.'s laboratory is supported in part by National Institutes of Health grant PO1-GM45344.
Manuscript received March 26, 2003; Accepted for publication June 18, 2003.
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