Impact of bias discrepancy and amino acid usage on estimates of the effective number of codons used in a gene, and a test for selection on codon usage

The effective number of codons (Nc) used in a gene is one of the most commonly used measures of synonymous codon usage bias, owing much of its popularity to the fact that it is species independent and that simulation studies have shown that it is less dependent of gene length than other measures. In this paper I provide a clear and practically meaningful definition of bias discrepancy (BD; when the degree of codon bias varies within a degeneracy class). Moreover I evaluate the impact of BD and amino acid usage on estimates of Nc. It is shown that both factors have a significant effect on accuracy and precision. Both amino acid usage and BD influence accuracy considerably, especially in short genes. Finally, I demonstrate how the definition of bias discrepancy can be applied to investigate if codon usage is influenced by selection and I discuss this test in relation to the incongruous literature that exists for Buchnera sp. APS and Borrelia burgdorferi.     

Codon usage bias in prokaryotic pyrimidine-ending codons is associated with the degeneracy of the encoded amino acids

Synonymous codons are unevenly distributed among genes, a phenomenon termed codon usage bias. Understanding the patterns of codon bias and the forces shaping them is a major step towards elucidating the adaptive advantage codon choice can confer at the level of individual genes and organisms. Here, we perform a large-scale analysis to assess codon usage bias pattern of pyrimidine-ending codons in highly expressed genes in prokaryotes. We find a bias pattern linked to the degeneracy of the encoded amino acid. Specifically, we show that codon-pairs that encode two- and three-fold degenerate amino acids are biased towards the C-ending codon while codons encoding four-fold degenerate amino acids are biased towards the U-ending codon. This codon usage pattern is widespread in prokaryotes, and its strength is correlated with translational selection both within and between organisms. We show that this bias is associated with an improved correspondence with the tRNA pool, avoidance of mis-incorporation errors during translation and moderate stability of codon-anticodon interaction, all consistent with more efficient translation.     

The 'effective number of codons' used in a gene

A simple measure is presented that quantifies how far the codon usage of a gene departs from equal usage of synonymous codons. This measure of synonymous codon usage bias, the 'effective number of codons used in a gene', Nc, can be easily calculated from codon usage data alone, and is independent of gene length and amino acid (aa) composition. Nc can take values from 20, in the case of extreme bias where one codon is exclusively used for each aa, to 61 when the use of alternative synonymous codons is equally likely. Nc thus provides an intuitively meaningful measure of the extent of codon preference in a gene. Codon usage patterns across genes can be investigated by the Nc-plot: a plot of Nc vs. G + C content at synonymous sites. Nc-plots are produced for Homo sapiens, Saccharomyces cerevisiae, Escherichia coli, Bacillus subtilis, Dictyostelium discoideum, and Drosophila melanogaster. A FORTRAN77 program written to calculate Nc is available on request.     

Synonymous codon usage in Thermosynechococcus elongatus (cyanobacteria) identifies the factors shaping codon usage variation

Analysis of synonymous codon usage pattern in the genome of a thermophilic cyanobacterium, Thermosynechococcus elongatus BP-1 using multivariate statistical analysis revealed a single major explanatory axis accounting for codon usage variation in the organism. This axis is correlated with the GC content at third base of synonymous codons (GC3s) in correspondence analysis taking T. elongatus genes. A negative correlation was observed between effective number of codons i.e. Nc and GC3s. Results suggested a mutational bias as the major factor in shaping codon usage in this cyanobacterium. In comparison to the lowly expressed genes, highly expressed genes of this organism possess significantly higher proportion of pyrimidine-ending codons suggesting that besides, mutational bias, translational selection also influenced codon usage variation in T. elongatus. Correspondence analysis of relative synonymous codon usage (RSCU) with A, T, G, C at third positions (A3s, T3s, G3s, C3s, respectively) also supported this fact and expression levels of genes and gene length also influenced codon usage. A role of translational accuracy was identified in dictating the codon usage variation of this genome. Results indicated that although mutational bias is the major factor in shaping codon usage in T. elongatus, factors like translational selection, translational accuracy and gene expression level also influenced codon usage variation.     

普通野生稻线粒体蛋白质编码基因密码子使用偏好性的分析

以普通野生稻(Oryza rufipogon Griff.)线粒体基因组为对象,分析其蛋白质编码基因的密码子使用特征及与亚洲栽培稻(O. sativa L.)的差异,探讨其密码子偏性形成的影响因素和进化过程。结果显示:普通野生稻线粒体基因组编码序列第1、第2和第3位碱基的GC含量依次为49.18%、42.67%和40.86%;有效密码子数(Nc)分布于45.32～61.00之间,其密码子偏性较弱; Nc值仅与GC_3呈显著相关,密码子第3位的碱基组成对密码子偏性影响较大;第1向量轴上显示9.91%的差异,其与GC_3s、Nc、密码子偏好指数(CBI)和最优密码子使用频率(Fop)的相关性均达到显著水平;而GC_3和GC₁₂的相关性未达到显著水平。因此,普通野生稻线粒体基因组密码子的使用偏性主要受自然选择压力影响而形成。本研究确定了21个普通野生稻线粒体基因组的最优密码子,大多以A或T结尾,与叶绿体密码子具有趋同进化,但是与核基因组具有不同的偏好性。同义密码子相对使用度(RSCU)、PR2偏倚分析和中性绘图分析显示,普通野生稻线粒体基因功能和其密码子使用密切相关,且线粒体密码子使用在普通野生稻、粳稻(O. sativa L. subsp. japonica Kato)和籼稻(O. sativa L. subsp.indica Kato)内具有同质性。     

栽培大豆和野生大豆线粒体基因组密码子使用偏性的比较分析

为分析栽培大豆和野生大豆线粒体基因组的密码子使用特征差异,该文以其线粒体基因组编码序列为研究对象,比较其密码子偏性形成的影响因素和演化过程。结果表明:(1)栽培大豆和野生大豆线粒体基因组编码区的GC含量分别为44.56%和44.58%,说明栽培大豆和野生大豆线粒体编码基因均富含A/T碱基。(2)栽培大豆和野生大豆线粒体基因组密码子第1位、第2位GC含量平均值与第3位GC含量的相关性均呈极显著水平,说明突变在其密码子偏性形成中的作用不可忽略; PR2-plot分析显示,在同义密码子第3位碱基的使用频率上,嘌呤低于嘧啶; Nc-plot分析中Nc比值位于-0.1～0.2区间的基因数占总基因数的95%以上;突变和选择等多重因素共同作用影响了大豆线粒体基因组编码序列密码子使用偏性的形成。(3)有20、21个密码子分别被确定为栽培大豆和野生大豆线粒体基因组编码序列的最优密码子,其中除丝氨酸TCC密码子外均以A或T结尾。综上结果认为,栽培大豆线粒体密码子偏性的形成受选择的影响要高于野生大豆,这可能是栽培大豆由野生大豆经长期人工栽培驯化的结果。     

Comparative analysis of the base composition and codon usages in fourteen mycobacteriophage genomes

To study the possible codon usage and base composition variation in the bacteriophages, fourteen mycobacteriophages were used as a model system here and both the parameters in all these phages and their plating bacteria, M. smegmatis had been determined and compared. As all the organisms are GC-rich, the GC contents at third codon positions were found in fact higher than the second codon positions as well as the first + second codon positions in all the organisms indicating that directional mutational pressure is strongly operative at the synonymous third codon positions. Nc plot indicates that codon usage variation in all these organisms are governed by the forces other than compositional constraints. Correspondence analysis suggests that: (i) there are codon usage variation among the genes and genomes of the fourteen mycobacteriophages and M. smegmatis, i.e., codon usage patterns in the mycobacteriophages is phage-specific but not the M. smegmatis-specific; (ii) synonymous codon usage patterns of Barnyard, Che8, Che9d, and Omega are more similar than the rest mycobacteriophages and M. smegmatis; (iii) codon usage bias in the mycobacteriophages are mainly determined by mutational pressure; and (iv) the genes of comparatively GC rich genomes are more biased than the GC poor genomes. Translational selection in determining the codon usage variation in highly expressed genes can be invoked from the predominant occurrences of C ending codons in the highly expressed genes. Cluster analysis based on codon usage data also shows that there are two distinct branches for the fourteen mycobacteriophages and there is codon usage variation even among the phages of each branch.     

The Selective Advantage of Synonymous Codon Usage Bias in Salmonella

The genetic code in mRNA is redundant, with 61 sense codons translated into 20 different amino acids. Individual amino acids are encoded by up to six different codons but within codon families some are used more frequently than others. This phenomenon is referred to as synonymous codon usage bias. The genomes of free-living unicellular organisms such as bacteria have an extreme codon usage bias and the degree of bias differs between genes within the same genome. The strong positive correlation between codon usage bias and gene expression levels in many microorganisms is attributed to selection for translational efficiency. However, this putative selective advantage has never been measured in bacteria and theoretical estimates vary widely. By systematically exchanging optimal codons for synonymous codons in the tuf genes we quantified the selective advantage of biased codon usage in highly expressed genes to be in the range 0.2–4.2 x 10⁻⁴ per codon per generation. These data quantify for the first time the potential for selection on synonymous codon choice to drive genome-wide sequence evolution in bacteria, and in particular to optimize the sequences of highly expressed genes. This quantification may have predictive applications in the design of synthetic genes and for heterologous gene expression in biotechnology.     

Analysis of codon usage pattern in the radioresistant bacterium Deinococcus radiodurans

The main factors shaping codon usage bias in the Deinococcus radiodurans genome were reported. Correspondence analysis (COA) was carried out to analyze synonymous codon usage bias. The results showed that the main trend was strongly correlated with gene expression level assessed by the "Codon Adaptation Index" (CAI) values, a result that was confirmed by the distribution of genes along the first axis. The results of correlation analysis, variance analysis and neutrality plot indicated that gene nucleotide composition was clearly contributed to codon bias. CDS length was also key factor in dictating codon usage variation. A general tendency of more biased codon usage of genes with longer CDS length to higher expression level was found. Further, the hydrophobicity of each protein also played a role in shaping codon usage in this organism, which could be confirmed by the significant correlation between the positions of genes placed on the first axis and the hydrophobicity values (r=-0.100, P<0.01). In summary, gene expression level played a crucial role, nucleotide mutational bias, CDS length and the hydrophobicity of each protein just in a minor way in shaping the codon usage pattern of D. radiodurans. Notably, 19 codons firstly defined as "optimal codons" may provide useful clues for molecular genetic engineering and evolutionary studying.     

普通野生稻线粒体蛋白质编码基因密码子使用偏好性的分析

以普通野生稻（Oryza rufipogon Griff.）线粒体基因组为对象,分析其蛋白质编码基因的密码子使用特征及与亚洲栽培稻（O.sativa L.）的差异,探讨其密码子偏性形成的影响因素和进化过程。结果显示：普通野生稻线粒体基因组编码序列第1、第2和第3位碱基的GC含量依次为49.18%、42.67%和40.86%;有效密码子数（Nc）分布于45.32~61.00之间,其密码子偏性较弱;Nc值仅与GC₃呈显著相关,密码子第3位的碱基组成对密码子偏性影响较大;第1向量轴上显示9.91%的差异,其与GC_3s、Nc、密码子偏好指数（CBI）和最优密码子使用频率（Fop）的相关性均达到显著水平;而GC₃和GC₁₂的相关性未达到显著水平。因此,普通野生稻线粒体基因组密码子的使用偏性主要受自然选择压力影响而形成。本研究确定了21个普通野生稻线粒体基因组的最优密码子,大多以A或T结尾,与叶绿体密码子具有趋同进化,但是与核基因组具有不同的偏好性。同义密码子相对使用度（RSCU）、PR2偏倚分析和中性绘图分析显示,普通野生稻线粒体基因功能和其密码子使用密切相关,且线粒体密码子使用在普通野生稻、粳稻（O.sativa L.subsp.japonica Kato）和籼稻（O.sativa L.subsp.indica Kato）内具有同质性。     

Comparative Analysis of Codon Usage Bias and Codon Context Patterns between Dipteran and Hymenopteran Sequenced Genomes

Background

Codon bias is a phenomenon of non-uniform usage of codons whereas codon context generally refers to sequential pair of codons in a gene. Although genome sequencing of multiple species of dipteran and hymenopteran insects have been completed only a few of these species have been analyzed for codon usage bias.

Methods and Principal Findings

Here, we use bioinformatics approaches to analyze codon usage bias and codon context patterns in a genome-wide manner among 15 dipteran and 7 hymenopteran insect species. Results show that GAA is the most frequent codon in the dipteran species whereas GAG is the most frequent codon in the hymenopteran species. Data reveals that codons ending with C or G are frequently used in the dipteran genomes whereas codons ending with A or T are frequently used in the hymenopteran genomes. Synonymous codon usage orders (SCUO) vary within genomes in a pattern that seems to be distinct for each species. Based on comparison of 30 one-to-one orthologous genes among 17 species, the fruit fly Drosophila willistoni shows the least codon usage bias whereas the honey bee (Apis mellifera) shows the highest bias. Analysis of codon context patterns of these insects shows that specific codons are frequently used as the 3′- and 5′-context of start and stop codons, respectively.

Conclusions

Codon bias pattern is distinct between dipteran and hymenopteran insects. While codon bias is favored by high GC content of dipteran genomes, high AT content of genes favors biased usage of synonymous codons in the hymenopteran insects. Also, codon context patterns vary among these species largely according to their phylogeny.     

Comparative genome sequence analysis of Sulfolobus acidocaldarius and 9 other isolates of its genus for factors influencing codon and amino acid usage

In the present study, major constraints for codon and amino acid usage of Sulfolobus acidocaldarius, Sulfolobus solfataricus, Sulfolobus tokodali, Sulfolobus islandis and 6 other isolates from islandicus species of genus Sulfolobus were investigated. Correspondence analysis revealed high significant correlation between the major trend of synonymous codon usage and gene expression level, as assessed by the “Codon Adaptation Index” (CAI). There is a significant negative correlation between Nc (Effective number of codons) and CAI demonstrating role of codon bias as an important determinant of codon usage. The significant correlation between major trend of synonymous codon usage and GC3s (G + C at third synonymous position) indicated dominant role of mutational bias in codon usage pattern. The result was further supported from SCUO (synonymous codon usage order) analysis. The amino acid usage was found to be significantly influenced by aromaticity and hydrophobicity of proteins. However, translational selection which causes a preference for codons that are most rapidly translated by current tRNA with multiple copy numbers was not found to be highly dominating for all studied isolates. Notably, 26 codons that were found to be optimally used by genes of S. acidocaldarius at higher expression level and its comparative analysis with 9 other isolates may provide some useful clues for further in vivo genetic studies on this genus.     

Divergence in codon usage of Lactobacillus species.

We have analyzed codon usage patterns of 70 sequenced genes from different Lactobacillus species. Codon usage in lactobacilli is highly biased. Both inter-species and intra-species heterogeneity of codon usage bias was observed. Codon usage in L. acidophilus is similar to that in L. helveticus, but dissimilar to that in L. bulgaricus, L. casei, L. pentosus and L. plantarum. Codon usage in the latter three organisms is not significantly different, but is different from that in L. bulgaricus. Inter-species differences in codon usage can, at least in part, be explained by differences in mutational drift. L. bulgaricus shows GC drift, whereas all other species show AT drift. L. acidophilus and L. helveticus rarely use NNG in family-box (a set of synonymous) codons, in contrast to all other species. This result may be explained by assuming that L. acidophilus and L. helveticus, but not other species examined, use a single tRNA species for translation of family-box codons. Differences in expression level of genes are positively correlated with codon usage bias. Highly expressed genes show highly biased codon usage, whereas weakly expressed genes show much less biased codon usage. Codon usage patterns at the 5'-end of Lactobacillus genes is not significantly different from that of entire genes. The GC content of codons 2-6 is significantly reduced compared with that of the remainder of the gene. The possible implications of a reduced GC content for the control of translation efficiency are discussed.     

Unusual codon usage bias in low expression genes of Vibrio cholerae

Positive correlation between gene expression and synonymous codon usage bias is well documented in the literature. However, in the present study of Vibrio cholerae genome, we have identified a group of genes having unusually high codon usage bias despite being low potential expressivity. Our results suggest that codon usage in lowly expressed genes might also be selected on to preferably use non-optimal codons to maintain a low cellular concentration of the proteins that they encode. This would predict that lowly expressed genes are also biased in codon usage, but in a way that is opposite to the bias of highly expressed genes.     

Gene expression,nucleotide composition and codon usage bias of genes associated with human Y chromosome

Analysis of codon usage pattern is important to understand the genetic and evolutionary characteristics of genomes. We have used bioinformatic approaches to analyze the codon usage bias (CUB) of the genes located in human Y chromosome. Codon bias index (CBI) indicated that the overall extent of codon usage bias was low. The relative synonymous codon usage (RSCU) analysis suggested that approximately half of the codons out of 59 synonymous codons were most frequently used, and possessed a T or G at the third codon position. The codon usage pattern was different in different genes as revealed from correspondence analysis (COA). A significant correlation between effective number of codons (ENC) and various GC contents suggests that both mutation pressure and natural selection affect the codon usage pattern of genes located in human Y chromosome. In addition, Y-linked genes have significant difference in GC contents at the second and third codon positions, expression level, and codon usage pattern of some codons like the SPANX genes in X chromosome.     

Selection intensity on preferred codons correlates with overall codon usage bias in Caenorhabditis remanei

Adaptive codon usage provides evidence of natural selection in one of its most subtle forms: a fitness benefit of one synonymous codon relative to another. Codon usage bias is evident in the coding sequences of a broad array of taxa, reflecting selection for translational efficiency and/or accuracy as well as mutational biases. Here, we quantify the magnitude of selection acting on alternative codons in genes of the nematode Caenorhabditis remanei, an outcrossing relative of the model organism C. elegans, by fitting the expected mutation-selection-drift equilibrium frequency distribution of preferred and unpreferred codon variants to the empirical distribution. This method estimates the intensity of selection on synonymous codons in genes with high codon bias as N(e)s = 0.17, a value significantly greater than zero. In addition, we demonstrate for the first time that estimates of ongoing selection on codon usage among genes, inferred from nucleotide polymorphism data, correlate strongly with long-term patterns of codon usage bias, as measured by the frequency of optimal codons in a gene. From the pattern of polymorphisms in introns, we also infer that these findings do not result from the operation of biased gene conversion toward G or C nucleotides. We therefore conclude that coincident patterns of current and ancient selection are responsible for shaping biased codon usage in the C. remanei genome.     

Relationships Among Stop Codon Usage Bias, Its Context, Isochores, and Gene Expression Level in Various Eukaryotes

It is well known that stop codons play a critical role in the process of protein synthesis. However, little effort has been made to investigate whether stop codon usage exhibits biases, such as widely seen for synonymous codon usage. Here we systematically investigate stop codon usage bias in various eukaryotes as well as its relationships with its context, GC3 content, gene expression level, and secondary structure. The results show that there is a strong bias for stop codon usage in different eukaryotes, i.e., UAA is overrepresented in the lower eukaryotes, UGA is overrepresented in the higher eukaryotes, and UAG is least used in all eukaryotes. Different conserved patterns for each stop codon in different eukaryotic classes are found based on information content and logo analysis. GC3 contents increase with increasing complexity of organisms. Secondary structure prediction revealed that UAA is generally associated with loop structures, whereas UGA is more uniformly present in loop and stem structures, i.e., UGA is less biased toward having a particular structure. The stop codon usage bias, however, shows no significant relationship with GC3 content and gene expression level in individual eukaryotes. The results indicate that genomic complexity and GC3 content might contribute to stop codon usage bias in different eukaryotes. Our results indicate that stop codons, like synonymous codons, exhibit biases in usage. Additional work will be needed to understand the causes of these biases and their relationship to the mechanism of protein termination. [Reviewing Editor: Dr. Manyuan Long]     

Studies on codon usage in Entamoeba histolytica

Codon usage bias of Entamoeba histolytica, a protozoan parasite, was investigated using the available DNA sequence data. Entamoeba histolytica having AT rich genome, is expected to have A and/or T at the third position of codons. Overall codon usage data analysis indicates that A and/or T ending codons are strongly biased in the coding region of this organism. However, multivariate statistical analysis suggests that there is a single major trend in codon usage variation among the genes. The genes which are supposed to be highly expressed are clustered at one end, while the majority of the putatively lowly expressed genes are clustered at the other end. The codon usage pattern is distinctly different in these two sets of genes. C ending codons are significantly higher in the putatively highly expressed genes suggesting that C ending codons are translationally optimal in this organism. In the putatively lowly expressed genes A and/or T ending codons are predominant, which suggests that compositional constraints are playing the major role in shaping codon usage variation among the lowly expressed genes. These results suggest that both mutational bias and translational selection are operational in the codon usage variation in this organism.     

Codon usage bias: causative factors,quantification methods and genome‐wide patterns: with emphasis on insect genomes

Codon usage bias refers to the phenomenon where specific codons are used more often than other synonymous codons during translation of genes, the extent of which varies within and among species. Molecular evolutionary investigations suggest that codon bias is manifested as a result of balance between mutational and translational selection of such genes and that this phenomenon is widespread across species and may contribute to genome evolution in a significant manner. With the advent of whole‐genome sequencing of numerous species, both prokaryotes and eukaryotes, genome‐wide patterns of codon bias are emerging in different organisms. Various factors such as expression level, GC content, recombination rates, RNA stability, codon position, gene length and others (including environmental stress and population size) can influence codon usage bias within and among species. Moreover, there has been a continuous quest towards developing new concepts and tools to measure the extent of codon usage bias of genes. In this review, we outline the fundamental concepts of evolution of the genetic code, discuss various factors that may influence biased usage of synonymous codons and then outline different principles and methods of measurement of codon usage bias. Finally, we discuss selected studies performed using whole‐genome sequences of different insect species to show how codon bias patterns vary within and among genomes. We conclude with generalized remarks on specific emerging aspects of codon bias studies and highlight the recent explosion of genome‐sequencing efforts on arthropods (such as twelve Drosophila species, species of ants, honeybee, Nasonia and Anopheles mosquitoes as well as the recent launch of a genome‐sequencing project involving 5000 insects and other arthropods) that may help us to understand better the evolution of codon bias and its biological significance.     

Interspecific and Intragenic Differences in Codon Usage Bias Among Vertebrate Myosin Heavy-Chain Genes

Synonymous codon usage bias is a broadly observed phenomenon in bacteria, plants, and invertebrates and may result from selection. However, the role of selective pressures in shaping codon bias is still controversial in vertebrates, particularly for mammals. The myosin heavy-chain (MyHC) gene family comprises multiple isoforms of the major force-producing contractile protein in cardiac and skeletal muscles. Slow and fast genes are tandemly arrayed on separate chromosomes, and have distinct patterns of functionality and expression in muscle. We analyze both full-length MyHC genes (~5400?bp) and a larger collection of partial sequences at the 3' end (~500?bp). The MyHC isoforms are an interesting system in which to study codon usage bias because of their length, expression, and critical importance to organismal mobility. Codon bias and GC content differs among MyHC genes with regards to functional type, isoform, and position within the gene. Codon bias even varies by isoform within a species. We find evidence in favor of both chromosomal influences on nucleotide composition and selection against nonsense errors (SANE) acting on codon usage in MyHC genes. Intragenic variation in codon bias and elongation rate is significant, with a strong trend for increasing codon bias and elongation rate towards the 3' end of the gene, although the trend is dependent upon the degeneracy class of the codons. Therefore, patterns of codon usage in MyHC genes are consistent with models supporting SANE as a major force shaping codon usage.