Synonymous and nonsynonymous substitutions in mammalian genes and the nearly neutral theory

The nearly neutral theory of molecular evolution predicts larger generation-time effects for synonymous than for nonsynonymous substitutions. This prediction is tested using the sequences of 49 single-copy genes by calculating the average and variance of synonymous and nonsynonymous substitutions in mammalian star phylogenies (rodentia, artiodactyla, and primates). The average pattern of the 49 genes supports the prediction of the nearly neutral theory, with some notable exceptions.The nearly neutral theory also predicts that the variance of the evolutionary rate is larger than the value predicted by the completely neutral theory. This prediction is tested by examining the dispersion index (ratio of the variance to the mean), which is positively correlated with the average substitution number. After weighting by the lineage effects, this correlation almost disappears for nonsynonymous substitutions, but not quite so for synonymous substitutions. After weighting, the dispersion indices of both synonymous and nonsynonymous substitutions still exceed values expected under the simple Poisson process. The results indicate that both the systematic bias in evolutionary rate among the lineages and the episodic type of rate variation are contributing to the large variance. The former is more significant to synonymous substitutions than to nonsynonymous substitutions. Isochore evolution may be similar to synonymous substitutions. The rate and pattern found here are consistent with the nearly neutral theory, such that the relative contributions of drift and selection differ between the two types of substitutions. The results are also consistent with Gillespie's episodic selection theory.     

Codon usage divergence of homologous vertebrate genes and codon usage clock

Summary This paper is concerned with the divergence of synonymous codon usage and its bias in three homologous genes within vertebrate species. Genetic distances among species are described in terms of synonymous codon usage divergence and the correlation is found between the genetic distances and taxonomic distances among species under study. A codon usage clock is reported in alphaglobin and beta-globin. A method is developed to define the synonymous codon preference bias and it is observed that the bias changes considerably among species.     

Unbiased estimation of the rates of synonymous and nonsynonymous substitution

Summary The current convention in estimating the number of substitutions per synonymous site (K _S ) and per nonsynonymous site (K _A ) between two protein-coding genes is to count each twofold degenerate site as one-third synonymous and two-thirds nonsynonymous because one of the three possible changes at such a site is synonymous and the other two are nonsynonymous. This counting rule can considerably overestimate theK _S value because transitional mutations tend to occur more often than transversional mutations and because most transitional mutations at twofold degenerate sites are synonymous. A new method that gives unbiased estimates is proposed. An application of the new and the old method to 14 pairs of mouse and rat genes shows that the new method gives aK _S value very close to the number of substitutions per fourfold degenerate site whereas the old method gives a value 30% higher. Both methods give aK _A value close to the number of substitutions per nondegenerate site.     

A simple method for estimating evolutionary rates of base substitutions through comparative studies of nucleotide sequences

Summary Some simple formulae were obtained which enable us to estimate evolutionary distances in terms of the number of nucleotide substitutions (and, also, the evolutionary rates when the divergence times are known). In comparing a pair of nucleotide sequences, we distinguish two types of differences; if homologous sites are occupied by different nucleotide bases but both are purines or both pyrimidines, the difference is called type I (or transition type), while, if one of the two is a purine and the other is a pyrimidine, the difference is called type II (or transversion type). Letting P and Q be respectively the fractions of nucleotide sites showing type I and type II differences between two sequences compared, then the evolutionary distance per site is K = — (1/2) ln {(1 — 2P — Q) }. The evolutionary rate per year is then given by k = K/(2T), where T is the time since the divergence of the two sequences. If only the third codon positions are compared, the synonymous component of the evolutionary base substitutions per site is estimated by K'_S = — (1/2) ln (1 — 2P — Q). Also, formulae for standard errors were obtained. Some examples were worked out using reported globin sequences to show that synonymous substitutions occur at much higher rates than amino acid-altering substitutions in evolution.Contribution No. 1330 from the National Institute of Genetics, Mishima, 411 Japan     

Estimation of average number of nucleotide substitutions when the rate of substitution varies with nucleotide

Summary A formal mathematical analysis of Kimura's (1981) six-parameter model of nucleotide substitution for the case of unequal substitution rates among different pairs of nucleotides is conducted, and new formulae for estimating the number of nucleotide substitutions and its standard error are obtained. By using computer simulation, the validities and utilities of Jukes and Cantor's (1969) one-parameter formula, Takahata and Kimura's (1981) four-parameter formula, and our sixparameter formula for estimating the number of nucleotide substitutions are examined under three different schemes of nucleotide substitution. It is shown that the one-parameter and four-parameter formulae often give underestimates when the number of nucleotide substitutions is large, whereas the six-parameter formula generally gives a good estimate for all the three substitution schemes examined. However, when the number of nucleotide substitutions is large, the six-parameter and four-parameter formulae are often inapplicable unless the number of nucleotides compared is extremely large. It is also shown that as long as the mean number of nucleotide substitutions is smaller than one per nucleotide site the three formulae give more or less the same estimate regardless of the substitution scheme used.On leave of absence from the Department of Biology, Faculty of Science, Kyushu University 33, Fukuoka 812, Japan     

Phase-dependent nucleotide substitution in protein-coding sequences

It is well known that due to the degeneracy of genetic code, most of the silent substitutions appear in the third codon position, so the mutation frequency of the third codon position is much higher than that of the first two positions. However, it remains unknown whether the directionality of point mutation in three codon positions is similar or not. In this paper, through analyzing 15 sets of orthologous genes, it is revealed that most of the substitution types are significantly different between any two codon positions, especially between the 2nd and the 3rd phases. Furthermore, the average frequencies of each type of substitution calculated from the fifteen sets of orthologous genes are similar to those identified in single nucleotide polymorphisms (SNPs) of human and mouse genome. The present analyses suggest that the nucleotide substitution in protein-coding sequences is not only context-dependent (so called neighboring-nucleotide effects), but also phase-dependent, which is of significance to improving the prevalent nucleotide-evolution models.     

Gene Expression, Amino Acid Conservation, and Hydrophobicity Are the Main Factors Shaping Codon Preferences in Mycobacterium tuberculosis and Mycobacterium leprae

Mycobacterium tuberculosis and Mycobacterium leprae are the ethiological agents of tuberculosis and leprosy, respectively. After performing extensive comparisons between genes from these two GC-rich bacterial species, we were able to construct a set of 275 homologous genes. Since these two bacterial species also have a very low growth rate, translational selection could not be so determinant in their codon preferences as it is in other fast-growing bacteria. Indeed, principal-components analysis of codon usage from this set of homologous genes revealed that the codon choices in M. tuberculosis and M. leprae are correlated not only with compositional constraints and translational selection, but also with the degree of amino acid conservation and the hydrophobicity of the encoded proteins. Finally, significant correlations were found between GC₃ and synonymous distances as well as between synonymous and nonsynonymous distances. Received: 30 October 1998 / Accepted: 16 August 1999     

Coding sequence divergence between two closely related plant species: Arabidopsis thaliana and Brassica rapa ssp. pekinensis

To characterize the coding-sequence divergence of closely related genomes, we compared DNA sequence divergence between sequences from a Brassica rapa ssp. pekinensis EST library isolated from flower buds and genomic sequences from Arabidopsis thaliana. The specific objectives were (i) to determine the distribution of and relationship between K _a and K _s, (ii) to identify genes with the lowest and highest K _a:K _s values, and (iii) to evaluate how codon usage has diverged between two closely related species. We found that the distribution of K _a:K _s was unimodal, and that substitution rates were more variable at nonsynonymous than synonymous sites, and detected no evidence that K _a and K _s were positively correlated. Several genes had K _a:K _s values equal to or near zero, as expected for genes that have evolved under strong selective constraint. In contrast, there were no genes with K _a:K _s >1 and thus we found no strong evidence that any of the 218 sequences we analyzed have evolved in response to positive selection. We detected a stronger codon bias but a lower frequency of GC at synonymous sites in A. thaliana than B. rapa. Moreover, there has been a shift in the profile of most commonly used synonymous codons since these two species diverged from one another. This shift in codon usage may have been caused by stronger selection acting on codon usage or by a shift in the direction of mutational bias in the B. rapa phylogenetic lineage.     

Substitution rates in hepatitis delta virus

Substitution rates were estimated for the coding and noncoding regions of the hepatitis delta virus (HDV). The estimated rates of synonymous substitution in HDV were lower than the rates of substitution at nonsynonymous sites and in the noncoding region. HDV has lower synonymous substitution rates than the hepatitis C virus, though both are RNA viruses. The relatively low rate of synonymous substitution in HDV may be due to a strong preference of G and C nucleotides at third codon positions. Variation in substitution rate among HDV lineages may be correlated with the clinical development of the HDV-induced hepatitis. The phylogenetic tree inferred for 24 HDV strains reveals similarities between lineages isolated from the same geographic region. Correspondence to: W.-H. Li     

Optimality of codon usage in Escherichia coli due to load minimization

The canonical genetic code is known to be highly efficient in minimizing the effects of mistranslational errors and point mutations, an ability which in term is designated "load minimization". One parameter involved in calculating the load minimizing property of the genetic code is codon usage. In most bacteria, synonymous codons are not used with equal frequencies. Different factors have been proposed to contribute to codon usage preference. It has been shown that the codon preference is correlated with the composition of the tRNA pool. Selection for translational efficiency and translational accuracy both result in such a correlation. In this work, it is shown that codon usage bias in Escherichia coli works so as to minimize the consequences of translational errors, i.e. optimized for load minimization.     

Pattern and chance in the use of the genetic code

Summary The use of triplet code words inE. coli,X174, MS2, and rabbit globin was examined. A significant deficiency of purines in the third position of fourfold degenerate codons was noted, although its significance is not understood. There has been no consistent selection against uracil in pyrimidine restricted codons. For many amino acids the choice between code words appears random, while for arginine, isoleucine, and probably glycine, distinct biases exist which can be explained in terms of tRNA availability.     

A novel approach for predicting the evolutionary time of acquisition of foreign genes by bacteria: Application of codon usage analyses

Lysogenic bacteriophages are considered as a major player for the introduction of foreign genes into bacterial strains. At the time of introduction foreign genes do not fit well into the translation system of the recipient host bacterium as they tend to retain the characteristics of the donor bacterium from which they have been transferred. Consequently foreign genes are poorly transcribed at the early phase of their evolution within the host bacterium. This is largely due to the difference in the codon usage pattern between the horizontally transferred genes and the host bacterium. In this study we present detailed analyses of various parameters of the codon usages such as codon adaptation index (CAI), mean difference (MD) of the relative adaptiveness, synonymous substitution rate (SSR) of six different phage encoded toxin genes (cholera toxin, shiga toxin, diphtheria toxin, neurotoxin C1, enterotoxin type A and cytotoxin), and proposed conceptual relationship between the evolutionary time of acquisition of the foreign genes and the selected set of parameters of the codon usage. On the basis of the observed data we hypothesize that CAI, MD and SSR of the phage encoded toxin genes are correlated with the evolutionary time of their acquisition, and have developed a novel approach based on the analyses of these parameters, which can be used to predict the evolutionary time of their acquisition by the corresponding host bacterium.     

Nonrandomness of point mutation as reflected in nucleotide substitutions in pseudogenes and its evolutionary implications

Summary We have obtained a revised estimate of the pattern of point mutation by considering more pseudogene sequences. Compared with our previous estimate, it agrees better with expectations based on the double-strand structure of DNA. The revised pattern, like the previous one, indicates that mutation occurs nonrandomly among the four nucleotides. In particular, the proportion of transitional mutations (59%) is almost twice as high as the value (33%) expected under random mutation. The same high proportion of transitions is observed in synonymous substitutions in genes. The proportion of transitional changes observed among electrophoretic variants of human hemoglobin is about the same as that predicted by the revised pattern of mutation. We also show that nonrandom mutation increases, by about 15%, the proportion of synonymous mutations due to single-nucleotide changes in the codon table, and increases, from 10% to 50%, the rate of synonymous mutation in the seven genes studied. However, nonrandom mutation reduces (by about 10%) the proportion of polar changes among nonsynonymous mutations in a gene. As far as single-nucleotide changes (in the codon table) are concerned, nonrandom mutation only slightly favors relatively conservative amino acid interchanges, and has virtually no effect on the proportions of radical changes and nonsense mutations.     

Using Variable Rate Models to Identify Genes Under Selection in Sequence Pairs: Their Validity and Limitations for EST Sequences

Using likelihood-based variable selection models, we determined if positive selection was acting on 523 EST sequence pairs from two lineages of sunflower and lettuce. Variable rate models are generally not used for comparisons of sequence pairs due to the limited information and the inaccuracy of estimates of specific substitution rates. However, previous studies have shown that the likelihood ratio test (LRT) is reliable for detecting positive selection, even with low numbers of sequences. These analyses identified 56 genes that show a signature of selection, of which 75% were not identified by simpler models that average selection across codons. Subsequent mapping studies in sunflower show four of five of the positively selected genes identified by these methods mapped to domestication QTLs. We discuss the validity and limitations of using variable rate models for comparisons of sequence pairs, as well as the limitations of using ESTs for identification of positively selected genes. [Reviewing Editor: Dr. Rasmus Nielsen]     

An evolutionary perspective on synonymous codon usage in unicellular organisms

Summary Observed patterns of synonymous codon usage are explained in terms of the joint effects of mutation, selection, and random drift. Examination of the codon usage in 165Escherichia coli genes reveals a consistent trend of increasing bias with increasing gene expression level. Selection on codon usage appears to be unidirectional, so that the pattern seen in lowly expressed genes is best explained in terms of an absence of strong selection. A measure of directional synonymous-codon usage bias, the Codon Adaptation Index, has been developed. In enterobacteria, rates of synonymous substitution are seen to vary greatly among genes, and genes with a high codon bias evolve more slowly. A theoretical study shows that the patterns of extreme codon bias observed for someE. coli (and yeast) genes can be generated by rather small selective differences. The relative plausibilities of various theoretical models for explaining nonrandom codon usage are discussed.Presented at the FEBS Symposium on Genome Organization and Evolution, held in Crete, Greece, September 1–5, 1986     

Evolutionary rate variation in eukaryotic lineage specific human intronless proteins

The present study examines 783 human-mouse orthologous gene pairs for their pattern of sequence evolution, contrasting mammalia, eukaryota, coelomata, and bilateria specific human intronless genes. Such comparisons may be of use in understanding the general evolution of human genome. Evolutionary rate analyses indicate that mammalia specific human intronless genes are evolving faster as compared to other intronless genes specific to eukaryotic lineage, indicating towards their rapid evolution. The observations indicates that the genes conserved in eukaryota, coelomata, and bilateria, that is, proteins that arose earlier in evolution as compared to mammalia specific genes evolve slowly and are subjected to negative selection. The cause underlying rate variations was also explored. Although mutational bias might slightly fasten the nonsynonymous rates in mammalia specific genes, it is unlikely to be major cause of rate difference between the various categories. Furthermore, rate of divergence of mammalia specific intronless genes has been related to functional classification using the protein family annotation. Protein function was found in some cases to have larger impact on the rate of evolution of genes. Also, the codon usage pattern of mammalia specific intronless genes do not seem to differ much from those of other intronless genes conserved solely in eukaryotic lineage.     

Identification of serine protease,serine protease homolog and prophenoloxidase genes in Spodoptera frugiperda (Lepidoptera: Noctuidae)

In insects, proteolytic cascades medicated by serine proteases (SPs), serine protease homologs (SPHs) and prophenoloxidases (PPOs) control several physiological processes, notably the innate immunity. However, no attempts have been made to identify and characterize these genes in Spodoptera frugiperda, one of the most destructive agricultural pests. In this study, 83 SPs, 26 SPHs and four PPOs were respectively identified in S. frugiperda genome based on homology blast against those of other insects. We then analyzed the domain organization of these proteins and assigned them into different groups by phylogenetic reconstruction. Furthermore, the mRNA levels of clip-domain SPs/SPHs (cSPs/cSPHs) and PPOs were quantified in response to a mixed infection of Micrococcus luteus and Escherichia coli, and obvious accumulations were recorded in immune tissues, including hemocytes and fat body. In the latter study, we profiled the expression patterns of highly expressed cSPs and PPOs in different developmental stages, including egg, larva, pupa, female and male adults. It was shown that most cSPs were abundantly expressed in adults, while PPOs were detected at high levels in both egg and larval stages. These current findings substantially add to our understanding of the roles of S. frugiperda SPs, SPHs and PPOs in immune regulation and further lay a solid foundation for uncovering the interaction mechanisms between insects and pathogens.     

Evolutionary change of restriction sites under unequal rates of nucleotide substitution among the three positions of codons

Summary Under the assumption of unequal rates of nucleotide substitution among the three positions of codons, mathematical formulas are derived for the probability that a restriction site observed at time 0 in a DNA sequence will be present at time t, the probability that a new restriction site will emerge at a particular place in two descendant sequences, and the proportion of identical restriction sites between two such sequences. All three quantitites are shown to be larger for the case of unequal rates than for the case of equal rates. As a consequence, estimates of nucleotide divergence (2t) between two sequences based on restriction-site data tend to be lower than the actual values of the assumption of equal rates is made but actually does not hold. However, the degree of underestimation is slight if 2t is 0.10 or smaller. The underestimation can be serious when 2t becomes 0.20 or larger, particularly if the substitution rates at the three codon positions are very different or if transitional substitution occurs more frequently than transversional substitution. The underestimation is more serious for four-base enzymes than for sixbase enzymes.