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PubMed2006

Evaluation of models for the evolution of protein sequences and functions under structural constraint.

In the field of evolutionary structural genomics, methods are needed to evaluate why genomes evolved to contain the fold distributions that are observed. In order to study the effects of population dynamics in the evolved genomes we need fast and accurate evolutionary models which can analyze the effects of selection, drift and fixation of a protein sequence in a population that are grounded by physical parameters governing the folding and binding properties of the sequence. In this study, various knowledge-based, force field, and statistical methods for protein folding have been evaluated with four different folds: SH2 domains, SH3 domains, Globin-like, and Flavodoxin-like, to evaluate the speed and accuracy of the energy functions. Similarly, knowledge-based and force field methods have been used to predict ligand binding specificity in SH2 domain. To demonstrate the applicability of these methods, the dynamics of evolution of new binding capabilities by an SH2 domain is demonstrated.

Computational Biology↗
PubMed1990

Evolution of protein cores. Constraints in point mutations as observed in globin tertiary structures.

The amino acid sequences of ten globin chain tertiary structures were aligned and structurally equivalenced by spatial superposition of main-chain C alpha atoms. A search was then performed for structurally equivalent residue pairs that were buried in the protein core and that had mutated but maintained similar unmutated environments. Residues with atoms in contact with such central residue pairs define their environments. Such examples of point mutations would represent in vivo site-directed mutagenesis as would be observed in evolution. A search for mutated but exposed equivalent central residues was also performed. The constraints placed on the characteristics of the mutated residues (e.g., side-chain volume, polarity, radius of gyration) allow suggestions for the evolutionary modes of protein core and surface development as well as residue substitution guidelines to maintain structural stability in protein engineering and design.

Amino Acid Sequence↗
PubMed1997

The foldability landscape of model proteins.

Molecular evolution may be considered as a walk in a multidimensional fitness landscape, where the fitness at each point is associated with features such as the function, stability, and survivability of these molecules. We present a simple model for the evolution of protein sequences on a landscape with a precisely defined fitness function. We use simple lattice models to represent protein structures, with the ability of a protein sequence to fold into the structure with lowest energy, quantified as the foldability, representing the fitness of the sequence. The foldability of the sequence is characterized based on the spin glass model of protein folding. We consider evolution as a walk in this foldability landscape and study the nature of the landscape and the resulting dynamics. Selective pressure is explicitly included in this model in the form of a minimum foldability requirement. We find that different native structures are not evenly distributed in interaction space, with similar structures and structures with similar optimal foldabilities clustered together. Evolving proteins marginally fulfill the selective criteria of foldability. As the selective pressure is increased, evolutionary trajectories become increasingly confined to "neutral networks," where the sequence and the interactions can be significantly changed while a constant structure is maintained.

Amino Acid Sequence↗
PubMed2004

A universal evolutionary index for amino acid changes.

Different nonsynonymous changes may be under different selective pressure during evolution. Of the 190 possible interchanges among the 20 amino acids, only 75 can be attained by a single-base substitution. An evolutionary index (EI) can be empirically computed for each of the 75 elementary changes as the likelihood of substitutions, relative to that of synonymous changes. We used 280, 1,306, 2,488, and 309 orthologous genes from primates (human versus Old World monkey), rodents (mouse versus rat), yeast (S. cerevisiae versus S. paradoxus), and Drosophila (D. melanogaster versus D. simulans), respectively, to estimate the EIs. In each data set, EI varies more than 10-fold, and the correlation coefficients of EIs from the pairwise comparisons are high (e.g., r = 0.91 between rodent and yeast). The high correlations suggest that the amino acid properties are strong determinants of protein evolution, irrespective of the identities of the proteins or the taxa of interest. However, these properties are not well captured in conventional measures of amino acid exchangeability. We, therefore, propose a universal index of exchange (U): for any large data set, its EI can be expressed as U*R, where R is the average Ka/Ks for that data set. The codon-based, empirically determined EI (i.e., U*R) makes much better predictions on protein evolution than do previous methods.

Amino Acids↗
PubMed2006

Variation in synonymous codon use and DNA polymorphism within the Drosophila genome.

A strong negative correlation between the rate of amino-acid substitution and codon usage bias in Drosophila has been attributed to interference between positive selection at nonsynonymous sites and weak selection on codon usage. To further explore this possibility we have investigated polymorphism and divergence at three kinds of sites: synonymous, nonsynonymous and intronic in relation to codon bias in D. melanogaster and D. simulans. We confirmed that protein evolution is one of the main explicative parameters for interlocus codon bias variation (r(2) approximately 40%). However, intron or synonymous diversities, which could have been expected to be good indicators of local interference [here defined as the additional increase of drift due to selection on tightly linked sites, also called 'genetic draft' by Gillespie (2000)] did not covary significantly with codon bias or with protein evolution. Concurrently, levels of polymorphism were reduced in regions of low recombination rates whereas codon bias was not. Finally, while nonsynonymous diversities were very well correlated between species, neither synonymous nor intron diversities observed in D. melanogaster were correlated with those observed in D. simulans. All together, our results suggest that the selective constraint on the protein is a stable component of gene evolution while local interference is not. The pattern of variation in genetic draft along the genome therefore seems to be instable through evolutionary times and should therefore be considered as a minor determinant of codon bias variance. We argue that selective constraints for optimal codon usage are likely to be correlated with selective constraints on the protein, both between codons within a gene, as previously suggested, and also between genes within a genome.

Animals↗
PubMed2006

Small molecules: big players in the evolution of protein synthesis.

The aminoacyl-tRNA synthetases (aaRSs) are responsible for selecting specific amino acids for protein synthesis, and this essential role in translation has garnered them much attention as targets for novel antimicrobials. Understanding how the aaRSs evolved efficient substrate selection offers a potential route to develop useful inhibitors of microbial protein synthesis. Here, we discuss discrimination of small molecules by aaRSs, and how the evolutionary divergence of these mechanisms offers a means to target inhibitors against these essential microbial enzymes.

Amino Acyl-tRNA Synthetases↗
PubMed2002

Guide oligonucleotide-dependent DNA linkage that facilitates controllable polymerization of microgene blocks.

Faster and more efficient searches of a huge protein sequence space for the purpose of conducting experiments in protein evolution can be achieved through the development of a block shuffling-based evolution system. One of the key components of such a system is the accurate and efficient linkage of gene units. Here we introduce a new method that allows accurate and controllable linkage of microgene blocks. This method employs a thermostable DNA ligase that links two single-stranded microgene blocks when they hybridize a complementary guide oligonucleotide. At high temperature, the ligation of the microgene units is fully dependent on the guide oligonucleotide, which can exclude undesired polymer formation, including the incorporation of microgenes having illegitimate sizes and "head-to-head" and "tail-to-tail" ligation of blocks. We were also able to assemble three microgene units using two guide oligonucleotides. Using this method of controllable linkage should facilitate further development of a step-by-step system for the polymerization of gene blocks, leading to a versatile block shuffling-based protein evolution system.

DNA↗
PubMed1994

The evolution of proteins from random amino acid sequences: II. Evidence from the statistical distributions of the lengths of modern protein sequences.

This paper continues an examination of the hypothesis that modern proteins evolved from random heteropeptide sequences. In support of the hypothesis, White and Jacobs (1993, J Mol Evol 36:79-95) have shown that any sequence chosen randomly from a large collection of nonhomologous proteins has a 90% or better chance of having a lengthwise distribution of amino acids that is indistinguishable from the random expectation regardless of amino acid type. The goal of the present study was to investigate the possibility that the random-origin hypothesis could explain the lengths of modern protein sequences without invoking specific mechanisms such as gene duplication or exon splicing. The sets of sequences examined were taken from the 1989 PIR database and consisted of 1,792 "super-family" proteins selected to have little sequence identity, 623 E. coli sequences, and 398 human sequences. The length distributions of the proteins could be described with high significance by either of two closely related probability density functions: The gamma distribution with parameter 2 or the distribution for the sum of two exponential random independent variables. A simple theory for the distributions was developed which assumes that (1) protoprotein sequences had exponentially distributed random independent lengths, (2) the length dependence of protein stability determined which of these protoproteins could fold into compact primitive proteins and thereby attain the potential for biochemical activity, (3) the useful protein sequences were preserved by the primitive genome, and (4) the resulting distribution of sequence lengths is reflected by modern proteins. The theory successfully predicts the two observed distributions which can be distinguished by the functional form of the dependence of protein stability on length. The theory leads to three interesting conclusions. First, it predicts that a tetra-nucleotide was the signal for primitive translation termination. This prediction is entirely consistent with the observations of Brown et al. (1990a,b, Nucleic Acids Res 18:2079-2086 and 18: 6339-6345) which show that tetra-nucleotides (stop codon plus following nucleotide) are the actual signals for termination of translation in both prokaryotes and eukaryotes. Second, the strong dependence of statistical length distributions on sequence-termination signaling codes implies that the evolution of stop codons and translation-termination processes was as important as gene splicing in early evolution. Third, because the theory is based upon a simple no-exon stochastic model, it provides a plausible alternative to a limited universe of exons from which all proteins evolved by gene duplication and exon splicing (Dorit et al. 1990, Science 250:1377-1382).

Amino Acid Sequence↗
PubMed2006

Evolutionary conservation of protein backbone flexibility.

Internal protein dynamics is essential for biological function. During evolution, protein divergence is functionally constrained: properties more relevant for function vary more slowly than less important properties. Thus, if protein dynamics is relevant for function, it should be evolutionary conserved. In contrast with the well-studied evolution of protein structure, the evolutionary divergence of protein dynamics has not been addressed systematically before, apart from a few case studies. X-Ray diffraction analysis gives information not only on protein structure but also on B-factors, which characterize the flexibility that results from protein dynamics. Here we study the evolutionary divergence of protein backbone dynamics by comparing the C(alpha) flexibility (B-factor) profiles for a large dataset of homologous proteins classified into families and superfamilies. We show that C(alpha) flexibility profiles diverge slowly, so that they are conserved at family and superfamily levels, even for pairs of proteins with nonsignificant sequence similarity. We also analyze and discuss the correlations among the divergences of flexibility, sequence, and structure.

Amino Acid Sequence↗
PubMed1986

Natural selection and the molecular clock.

This paper concludes that the statistical properties of protein evolution are compatible with a particular model of evolution by natural selection. The argument begins with a statistical description of the molecular clock based on a Poisson process with a randomly varying tick rate. If the time scale of the change of the tick rate of the molecular clock is assumed to be much less than the average time between substitutions, then it is shown that the substitution process must be episodic, with bursts of substitutions being separated by long periods of time with no substitutions. This analysis generalizes the recent work of Gillespie (1984a). The second part of the argument shows that a simple model of evolution by natural selection--one that incorporates a changing environment, the molecular landscape, and a simple form of epistasis--exhibits dynamics that are identical to those inferred from the statistical analysis. This leads to the conclusion that natural selection is a viable explanation for protein evolution. In addition, a correction formula for multiple substitutions is given that does not require that the substitution process be a Poisson process, and some comments on the inability of the neutral allele theory to account for the dynamics of the substitution process are presented.

Animals↗
PubMed1991

Modelling neutral and selective evolution of protein folding.

We examine a model evolutionary space consisting of genotypes mapped to their corresponding phenotypes. This mapping is derived from a lattice model for proteins which, despite its highly idealized nature, has been shown to share general properties with real proteins. Large evolutionary networks are observed, with genotypes corresponding to non-lethal phenotypes linked by unit mutational steps. Neutral mutations are necessary for traversing the evolutionary networks, and even one neutral mutation in a genotype can change the phenotypes attainable by a unit mutational step.

Biological Evolution↗
PubMedDate not supplied

Evolution of protein inhibitors of serine proteinases: positive Darwinian selection or compositional effects?

In at least two instances involving serine proteinase inhibitors it has been shown that functionally important sites evolve faster and exhibit more interspecific variability than functionally neutral sites. Because these phenomena are difficult to reconcile with the neutral theory of molecular evolution, it has been suggested that the accelerated rate of amino acid substitution at the reactive sites is brought about by positive Darwinian selection. We show that differences in the amino acid composition in the different regions of proteinase inhibitors can account for the differences in the rates of amino acid substitution. By using an index of protein mutability [D. Graur (1985) J Mol Evol 22:53-62], we show that the amino acid composition of the reactive center in the ovomucoids and Spi-2 gene products is such that, regardless of function, they are expected to evolve more rapidly than any other polypeptide for which the rate of substitution is known. In addition, the reactive region in the Spi-2 proteins is shown to be free of compositional constraint. Positive Darwinian selection need not be invoked at the present time in these cases.

Amino Acid Sequence↗
PubMed1986

Evolution of proteins in mammalian cytoplasmic and mitochondrial ribosomes.

The proteins of cytoplasmic and mitochondrial ribosomes from the cow and the rat were analyzed by co-electrophoresis in two dimensional polyacrylamide gels to determine their relative evolutionary rates. In a pairwise comparison of individual ribosomal proteins (r-proteins) from the cow and the rat, over 85% of the cytoplasmic r-proteins have conserved electrophoretic properties in this system, while only 15% of the proteins of mitochondrial ribosomes from these animals fell into this category. These values predict that mammalian mitochondrial r-proteins are evolving about 13 times more rapidly than cytoplasmic r-proteins. Based on actual evolutionary rates for representative cytoplasmic r-proteins, this mitochondrial r-protein evolutionary rate corresponds to an amino acid substitution rate of 40 X 10(-10) per site per year, placing mitochondrial r-proteins in the category of rapidly evolving proteins. The mitochondrial r-proteins are apparently evolving at a rate comparable to that of the mitochondrial rRNA, suggesting that functional constraints act more or less equally on both kinds of molecules in the ribosome. It is significant that mammalian mitochondrial r-proteins are evolving more rapidly than cytoplasmic r-proteins in the same cell, since both sets of r-proteins are encoded by nuclear genes. Such a difference in evolutionary rates implies that the functional constraints operating on ribosomes are somewhat relaxed for mitochondrial ribosomes.

Animals↗
PubMed2005

The standard genetic code enhances adaptive evolution of proteins.

The standard genetic code, by which most organisms translate genetic material into protein metabolism, is non-randomly organized. The Error Minimization hypothesis interprets this non-randomness as an adaptation, proposing that natural selection produced a pattern of codon assignments that buffers genomes against the impact of mutations. Indeed, on the average any given point mutation has a lesser effect on the chemical properties of the utilized amino acid than expected by chance. Might it also, however, be the case that the non-random nature of the code effects the rate of adaptive evolution? To investigate this, here we develop population genetic simulations to test the rate of adaptive gene evolution under different genetic codes. We identify two independent properties of a genetic code that profoundly influence the speed of adaptive evolution. Noting that the standard genetic code exhibits both, we offer a new insight into the effects of the "error minimizing" code: such a code enhances the efficacy of adaptive sequence evolution.

Evolution, Molecular↗