Protein Evolutionary Rates Correlate with Expression Independently of Synonymous Substitutions in Helicobacter pylori

In free-living microorganisms, such as Escherichia coli and Saccharomyces cerevisiae, both synonymous and nonsynonymous substitution frequencies correlate with expression levels. Here, we have tested the hypothesis that the correlation between amino acid substitution rates and expression is a by-product of selection for codon bias and translational efficiency in highly expressed genes. To this end, we have examined the correlation between protein evolutionary rates and expression in the human gastric pathogen Helicobacter pylori, where the absence of selection on synonymous sites enables the two types of substitutions to be uncoupled. The results revealed a statistically significant negative correlation between expression levels and nonsynonymous substitutions in both H. pylori and E. coli. We also found that neighboring genes located on the same, but not on opposite strands, evolve at significantly more similar rates than random gene pairs, as expected by co-expression of genes located in the same operon. However, the two species differ in that synonymous substitutions show a strand-specific pattern in E. coli, whereas the weak similarity in synonymous substitutions for neighbors in H. pylori is independent of gene orientation. These results suggest a direct influence of expression levels on nonsynonymous substitution frequencies independent of codon bias and selective constraints on synonymous sites. Electronic Supplementary Material Electronic Supplementary material is available for this article at and accessible for authorised users. [Reviewing Editor: Dr. Nicolas Galtier]     

Intralineage variation in the pattern ofrbcL nucleotide substitution

Variation in chloroplastrbcL sequences was studied in representative species of four different lineages: the tribeRubieae (Rubiaceae), and the generaDrosera (Droseraceae),Nothofagus (Nothofagaceae) andIlex (Aquifoliaceae). Each lineage has its particular non-overlapping set ofrbcL polymorphic sites, indicating that common unconstrainedrbcL sites are not shared. Large differences in the rate and pattern of nucleotide substitution are observed among the four lineages. The genusIlex has the lowest rate of substitution, the lowest transition/transversion ratio, the lowest synonymous/replacement ratio and the lowest number of substitutions at the third codon position. An apparent relationship of these measures to the age of the lineages is observed. The A + T content and codon use among the four lineages are very similar and, apparently, cannot account for the observed differences in patterns of nucleotide substitution. However, the A + T content of the two bases immediately flanking the polymorphic sites is higher inIlex than in the other lineages. This could be correlated with the transversion/transition bias observed inIlex. The particularly low synonymous/replacement ratio found inIlex could also be explained by the small population sizes of species in this genus.     

Nucleic acid composition,codon usage,and the rate of synonymous substitution in protein-coding genes

Summary Based on the rates of synonymous substitution in 42 protein-codin gene pairs from rat and human, a correlation is shown to exist between the frequency of the nucleotides in all positions of the codon and the synonymous substitution rate. The correlation coefficients were positive for A and T and negative for C and G. This means that AT-rich genes accumulate more synonymous substitutions than GC-rich genes. Biased patterns of mutation could not account for this phenomenon. Thus, the variation in synonymous substitution rates and the resulting unequal codon usage must be the consequence of selection against A and T in synonymous positions. Most of the varition in rates of synonymous substitution can be explained by the nucleotide composition in synonymous positions. Codon-anticodon interactions, dinucleotide frequencies, and contextual factors influence neither the rates of synonymous substitution nor codon usage. Interestingly, the nucleotide in the second position of codons (always a nonsynonymous position) was found to affect the rate of synonymous substitution. This finding links the rate of nonsynonymous substitution with the synonymous rate. Consequently, highly conservative proteins are expected to be encoded by genes that evolve slowly in terms of synonymous substitutions, and are consequently highly biased in their codon usage.     

A rationale for the symmetries by base substitutions of degeneracy in the genetic code

The first symmetry by base substitutions of degeneracy in the genetic code was described by Rumer (1966) and the other symmetries were identified later by Jestin (2006) and Jestin and Soulé (2007). Here, a rationale accounting for these symmetries is reported. The number of non-synonymous substitutions over the replicated coding sequence is written as a function of the substitution matrix, whose elements are the number of substitutions from any codon to any other codon. The p-adic distance used as a similarity measure and applied to this matrix is shown to be biologically relevant. The rationale indicates that symmetries by base substitutions of degeneracy in the genetic code are symmetries of the measures of the number of non-synonymous substitutions for sets of synonymous codons.     

Molecular Evolution at the Cytochrome Oxidase Subunit 2 Gene Among Divergent Populations of the Intertidal Copepod, Tigriopus californicus

The cytochrome c oxidase subunit 2 gene (COII) encodes a highly conserved protein that is directly responsible for the initial transfer of electrons from cytochrome c to cytochrome c oxidase (COX) crucial to the production of ATP during cellular respiration. Despite its integral role in electron transport, we have observed extensive intraspecific nucleotide and amino acid variation among 26 full-length COII sequences sampled from seven populations of the marine copepod, Tigriopus californicus. Although intrapopulation divergence was virtually nonexistent, interpopulation divergence at the COII locus was nearly 20% at the nucleotide level, including 38 nonsynonymous substitutions. Given the high degree of interaction between the cytochrome c oxidase subunit 2 protein (COX2) and the nuclear-encoded subunits of COX and cytochrome c (CYC), we hypothesized that some codons in the COII gene are likely to be under positive selection in order to compensate for amino acid substitutions in other subunits. Estimates of the ratio of nonsynonymous to synonymous substitution (ω), obtained using a series of maximum likelihood models of codon substitution, indicated that the majority of codons in T. californicus COII are under strong purifying selection (ω << 1), while approximately 4% of the sites in this gene appear to evolve under relaxed selective constraint (ω = 1). A branch-site maximum likelihood model identified three sites that may have experienced positive selection within the central California sequence clade in our COII phylogeny; these results are consistent with previous studies showing functional and fitness consequences among interpopulation hybrids between central and northern California populations. [Reviewing Editor: Dr. Willie Swanson]     

Codon Substitution in Evolution and the "Saturation" of Synonymous Changes

A mathematical model for codon substitution is presented, taking into account unequal mutation rates among different nucleotides and purifying selection. This model is constructed by using a 61 X 61 transition probability matrix for the 61 nonterminating codons. Under this model, a computer simulation is conducted to study the numbers of silent (synonymous) and amino acid-altering (nonsynonymous) nucleotide substitutions when the underlying mutation rates among the four kinds of nucleotides are not equal. It is assumed that the substitution rates are constant over evolutionary time, the codon frequencies being in equilibrium, and, thus, the numbers of synonymous and nonsynonymous substitutions both increase linearly with evolutionary time. It is shown that, when the mutation rates are not equal, the estimate of synonymous substitutions obtained by F. Perler, A. Efstratiadis, P. Lomedico, W. Gilbert, R. Kolodner and J. Dodgson's "Percent Corrected Divergence" method increases nonlinearly, although the true number of synonymous substitutions increases linearly. It is, therefore, possible that the "saturation" of synonymous substitutions observed by Perler et al. is due to the inefficiency of their method to detect all synonymous substitutions.     

The rate of synonymous substitution in enterobacterial genes is inversely related to codon usage bias

Genes sequences from Escherichia coli, Salmonella typhimurium, and other members of the Enterobacteriaceae show a negative correlation between the degree of synonymous-codon usage bias and the rate of nucleotide substitution at synonymous sites. In particular, very highly expressed genes have very biased codon usage and accumulate synonymous substitutions very slowly. In contrast, there is little correlation between the degree of codon bias and the rate of protein evolution. It is concluded that both the rate of synonymous substitution and the degree of codon usage bias largely reflect the intensity of selection at the translational level. Because of the high variability among genes in rates of synonymous substitution, separate molecular clocks of synonymous substitution might be required for different genes.      

Molecular evolution of nuclear genes in Cupressacea, a group of conifer trees

We surveyed the molecular evolutionary characteristics of 11 nuclear genes from 10 conifer trees belonging to the Taxodioideae, the Cupressoideae, and the Sequoioideae. Comparisons of substitution rates among the lineages indicated that the synonymous substitution rates of the Cupressoideae lineage were higher than those of the Taxodioideae. This result parallels the pattern previously found in plastid genes. Likelihood-ratio tests showed that the nonsynonymous-synonymous rate ratio did not change significantly among lineages. In addition, after adjustments for lineage effects, the dispersion indices of synonymous and nonsynonymous substitutions were considerably reduced, and the latter was close to 1. These results indicated that the acceleration of evolutionary rates in the Cupressoideae lineage occurred in both the nuclear and plastid genomes, and that generally, this lineage effect affected synonymous and nonsynonymous substitutions similarly. We also investigated the relationship of synonymous substitution rates with the nonsynonymous substitution rate, base composition, and codon bias in each lineage. Synonymous substitution rates were positively correlated with nonsynonymous substitution rates and GC content at third codon positions, but synonymous substitution rates were not correlated with codon bias. Finally, we tested the possibility of positive selection at the protein level, using maximum likelihood models, assuming heterogeneous nonsynonymous-synonymous rate ratios among codon (amino acid) sites. Although we did not detect strong evidence of positively selected codon sites, the analysis suggested that significant variation in nonsynonymous-synonymous rate ratio exists among the sites. The most likely sites for action of positive selection were found in the ferredoxin gene, which is an important component of the apparatus for photosynthesis.     

Molecular evolution of the histone 3 multigene family in the Drosophila melanogaster species subgroup

Molecular evolution of the histone multigene family was studied by cloning and sequencing regions of the histone 3 gene in the Drosophila melanogaster species subgroup. Analysis of the nucleotide substitution pattern showed that in the coding region synonymous changes occurred more frequently to A or T in contrast to the GC-rich base composition, while in the 3' region the nucleotide substitutions were most likely in equilibrium. These results suggested that the base composition at the third codon position of the H3 gene, i.e., codon usage, has been changing to A or T in the Drosophila melanogaster species subgroup.     

Selection on Codon Usage for Error Minimization at the Protein Level

Given the structure of the genetic code, synonymous codons differ in their capacity to minimize the effects of errors due to mutation or mistranslation. I suggest that this may lead, in protein-coding genes, to a preference for codons that minimize the impact of errors at the protein level. I develop a theoretical measure of error minimization for each codon, based on amino acid similarity. This measure is used to calculate the degree of error minimization for 82 genes of Drosophila melanogaster and 432 rodent genes and to study its relationship with CG content, the degree of codon usage bias, and the rate of nucleotide substitution. I show that (i) Drosophila and rodent genes tend to prefer codons that minimize errors; (ii) this cannot be merely the effect of mutation bias; (iii) the degree of error minimization is correlated with the degree of codon usage bias; (iv) the amino acids that contribute more to codon usage bias are the ones for which synonymous codons differ more in the capacity to minimize errors; and (v) the degree of error minimization is correlated with the rate of nonsynonymous substitution. These results suggest that natural selection for error minimization at the protein level plays a role in the evolution of coding sequences in Drosophila and rodents.Reviewing Editor: Dr. Massimo Di Giulio     

SynPAM-a distance measure based on synonymous codon substitutions.

Measuring evolutionary distances between DNA or protein sequences forms the basis of many applications in computational biology and evolutionary studies. Of particular interest are distances based on synonymous substitutions, since these substitutions are considered to be under very little selection pressure and therefore assumed to accumulate in an almost clock-like manner. SynPAM, the method presented here, allows the estimation of distances between coding DNA sequences based on synonymous codon substitutions. The problem of estimating an accurate distance from the observed substitution pattern is solved by maximum-likelihood with empirical codon substitution matrices employed for the underlying Markov model. Comparisons with established measures of synonymous distance indicate that SynPAM has less variance and yields useful results over a longer time range.     

On the rate of DNA sequence evolution inDrosophila

Summary Analysis of the rate of nucleotide substitution at silent sites inDrosophila genes reveals three main points. First, the silent rate varies (by a factor of two) among nuclear genes; it is inversely related to the degree of codon usage bias, and so selection among synonymous codons appears to constrain the rate of silent substitution in some genes. Second, mitochondrial genes may have evolved only as fast as nuclear genes with weak codon usage bias (and two times faster than nuclear genes with high codon usage bias); this is quite different from the situation in mammals where mitochondrial genes evolve approximately 5–10 times faster than nuclear genes. Third, the absolute rate of substitution at silent sites in nuclear genes inDrosophila is about three times hihger than the average silent rate in mammals.     

Comparison of the evolution of ribulose-1, 5-biphosphate carboxylase (rbcL) and atpB-rbcL noncoding spacer sequences in a recent plant group,the tribe Rubieae (Rubiaceae)

Plastid sequences of the atpB-rbcL spacer and rbcL gene itself were used to evaluate their respective potential in reconstructing the phylogeny of 15 taxa from the tribe Rubieae (Rubiaceae). From our previous analyses using the atpB-rbcL spacer, the 15 selected taxa represent most of the variability of the tribe. Since this group is considered to be relatively recent (Upper Tertiary), it should allow the study of early dynamics of nucleotide substitutions in recent divergences. The results show that the spacer and rbcL inferred phylogenies are not totally congruent; the spacer trees are more similar to interpretations of morphological data. A comparative analysis of the pattern of nucleotide substitution of these two sequences in the Rubieae shows that (1) the overall rate of substitution is similar in the spacer and in rbcL, and the rate of synonymous substitution in rbcL is much higher; (2) the level of homoplasy is higher in rbcL than in the spacer matrix which shows a higher phylogenetic structure; and (3) the pattern of transition and transversion substitutions is different in the two sequences, and is not linear in rbcL. As a result of these observations, we suggest that (1) the spacer is evolving relatively slowly because of unsuspected, and phylogenetically important; selective constraints on its sequence; and (2) in the rbcL sequence, many sites, free of constraint, are changing at high rate, and some of these sites seem to have undergone multiple substitutions even in this recent tribe. This could explain the high level of homoplasy found in Rubieae rbcL sequences. Correspondence to: J.-F. Manen     

SynPAM—A Distance Measure Based on Synonymous Codon Substitutions

Measuring evolutionary distances between DNA or protein sequences forms the basis of many applications in computational biology and evolutionary studies. Of particular interest are distances based on synonymous substitutions since these substitutions are considered to be under very little selection pressure and therefore assumed to accumulate in an almost clock-like manner. SynPAM, the method presented here, allows the estimation of distances between coding DNA sequences based on synonymous codon substitutions. The problem of estimating an accurate distance from the observed substitution pattern is solved by maximum likelihood with empirical codon substitution matrices employed for the underlying Markov model. Comparisons with established measures of synonymous distance indicate that SynPAM has less variance and yields useful results over a longer time range.     

Rates of nucleotide substitution and mammalian nuclear gene evolution. Approximate and maximum-likelihood methods lead to different conclusions

Rates and patterns of synonymous and nonsynonymous substitutions have important implications for the origin and maintenance of mammalian isochores and the effectiveness of selection at synonymous sites. Previous studies of mammalian nuclear genes largely employed approximate methods to estimate rates of nonsynonymous and synonymous substitutions. Because these methods did not account for major features of DNA sequence evolution such as transition/transversion rate bias and unequal codon usage, they might not have produced reliable results. To evaluate the impact of the estimation method, we analyzed a sample of 82 nuclear genes from the mammalian orders Artiodactyla, Primates, and Rodentia using both approximate and maximum-likelihood methods. Maximum-likelihood analysis indicated that synonymous substitution rates were positively correlated with GC content at the third codon positions, but independent of nonsynonymous substitution rates. Approximate methods, however, indicated that synonymous substitution rates were independent of GC content at the third codon positions, but were positively correlated with nonsynonymous rates. Failure to properly account for transition/transversion rate bias and unequal codon usage appears to have caused substantial biases in approximate estimates of substitution rates.     

Evolutionary differences between alternative and constitutive protein-coding regions of alternatively spliced genes of Drosophila

A total of 790 Drosophila melanogaster genes that are alternatively spliced in a coding region and have orthologs in Drosophila pseudoobscura were studied. It proved that nucleotide substitutions are accumulated in alternative coding regions more rapidly than in constitutive coding regions. Moreover, the evolutionary patterns of alternative regions differing in insertion-deletion mechanisms (use of alternative promoters, splicing sites, or polyadenylation sites) differ significantly. The synonymous substitution rate in coding regions of genes varies more strongly than the nonsynonymous substitution rate. The patterns of substitutions in different classes of alternative regions of Drosophila melanogaster and mammals differ considerably.     

The effect of tandem substitutions on the correlation between synonymous and nonsynonymous rates in rodents.

Nonsynonymous substitutions in DNA cause amino acid substitutions while synonymous substitutions in DNA leave amino acids unchanged. The cause of the correlation between the substitution rates at nonsynonymous (K(A)) and synonymous (K(S)) sites in mammals is a contentious issue, and one that impacts on many aspects of molecular evolution. Here we use a large set of orthologous mammalian genes to investigate the causes of the K(A)-K(S) correlation in rodents. The strength of the K(A)-K(S) correlation exceeds the neutral theory expectation when substitution rates are estimated using algorithmic methods, but not when substitution rates are estimated by maximum likelihood. Irrespective of this methodological uncertainty the strength of the K(A)-K(S) correlation appears mostly due to tandem substitutions, an excess of which is generated by substitutional nonindependence. Doublet mutations cannot explain the excess of tandem synonymous-nonsynonymous substitutions, and substitution patterns indicate that selection on silent sites is the likely cause. We find no evidence for selection on codon usage. The nature of the relationship between synonymous divergence and base composition is unclear because we find a significant correlation if we use maximum-likelihood methods but not if we use algorithmic methods. Finally, we find that K(S) is reduced at the start of genes, which suggests that selection for RNA structure may affect silent sites in mammalian protein-coding genes.