The Level and Landscape of Optimization in the Origin of the Genetic Code

We consider a model of the origin of genetic code organization incorporating the biosynthetic relationships between amino acids and their physicochemical properties. We study the behavior of the genetic code in the set of codes subject both to biosynthetic constraints and to the constraint that the biosynthetic classes of amino acids must occupy only their own codon domain, as observed in the genetic code. Therefore, this set contains the smallest number of elements ever analyzed in similar studies. Under these conditions and if, as predicted by physicochemical postulates, the amino acid properties played a fundamental role in genetic code organization, it can be expected that the code must display an extremely high level of optimization. This prediction is not supported by our analysis, which indicates, for instance, a minimization percentage of only 80%. These observations can therefore be more easily explained by the coevolution theory of genetic code origin, which postulates a role that is important but not fundamental for the amino acid properties in the structuring of the code. We have also investigated the shape of the optimization landscape that might have arisen during genetic code origin. Here, too, the results seem to favor the coevolution theory because, for instance, the fact that only a few amino acid exchanges would have been sufficient to transform the genetic code (which is not a local minimum) into a much better optimized code, and that such exchanges did not actually take place, seems to suggest that, for instance, the reduction of translation errors was not the main adaptive theme structuring the genetic code.     

Physicochemical Optimization in the Genetic Code Origin as the Number of Codified Amino Acids Increases

We have assumed that the coevolution theory of genetic code origin (Wong JT, Proc Natl Acad Sci USA 72:1909–1912, 1975) is essentially correct. This theory makes it possible to identify at least 10 evolutionary stages through which genetic code organization might have passed prior to reaching its current form. The calculation of the minimization level of all these evolutionary stages leads to the following conclusions. (1) The minimization percentages increased linearly with the number of amino acids codified in the codes of the various evolutionary stages when only the sense changes are considered in the analysis. This seems to favor the physicochemical theory of genetic code origin even if, as discussed in the paper, this observation is also compatible with the coevolution theory. (2) For the first seven evolutionary stages of the genetic code, this trend is less clear and indeed is inverted when we consider the global optimisation of the codes due to both sense changes and synonymous changes. This inverse correlation between minimization percentages and the number of amino acids codified in the codes of the intermediate stages seems to favor neither the physicochemical nor the stereochemical theories of genetic code origin, as it is in the early and intermediate stages of code development that these theories would expect minimization to have played a crucial role, and this does not seem to be the case. However, these results are in agreement with the coevolution theory, which attributes a role to the physicochemical properties of amino acids that, while important, is nevertheless subordinate to the mechanism which concedes codons from the precursor amino acids to the product amino acids as the primary factor determining the evolutionary structuring of the genetic code. The results are therefore discussed in the context of the various theories proposed to explain genetic code origin. Received: 25 October 1998 / Accepted: 19 February 1999     

Relationships Among Isoacceptor tRNAs Seems to Support the Coevolution Theory of the Origin of the Genetic Code

A new method for looking at relationships between nucleotide sequences has been used to analyze divergence both within and between the families of isoaccepting tRNA sets. A dendrogram of the relationships between 21 tRNA sets with different amino acid specificities is presented as the result of the analysis. Methionine initiator tRNAs are included as a separate set. The dendrogram has been interpreted with respect to the final stage of the evolutionary pathway with the development of highly specific tRNAs from ambiguous molecular adaptors. The location of the sets on the dendrogram was therefore analyzed in relation to hypotheses on the origin of the genetic code: the coevolution theory, the physicochemical hypothesis, and the hypothesis of ambiguity reduction of the genetic code. Pairs of 16 sets of isoacceptor tRNAs, whose amino acids are in biosynthetic relationships, occupied contiguous positions on the dendrogram, thus supporting the coevolution theory of the genetic code. Received: 4 May 1998 / Accepted: 11 July 1998     

The evolution of aminoacyl-tRNA synthetases,the biosynthetic pathways of amino acids and the genetic code

In this paper the partition metric is used to compare binary trees deriving from (i) the study of the evolutionary relationships between aminoacyl-tRNA synthetases, (ii) the physicochemical properties of amino acids and (iii) the biosynthetic relationships between amino acids. If the tree defining the evolutionary relationships between aminoacyl-tRNA synthetases is assumed to be a manifestation of the mechanism that originated the organization of the genetic code, then the results appear to indicate the following: the hypothesis that regards the genetic code as a map of the biosynthetic relationships between amino acids seems to explain the organization of the genetic code, at least as plausibly as the hypotheses that consider the physicochemical properties of amino acids as the main adaptive theme that lead to the structuring of the code.     

Theβ-sheets of proteins,the biosynthetic relationships between amino acids,and the origin of the genetic code

Two forces are generally hypothesised as being responsible for conditioning the origin of the organization of the genetic code: the physicochemical properties of amino acids and their biosynthetic relationships (relationships between precursor and product amino acids). If we assume that the biosynthetic relationships between amino acids were fundamental in defining the genetic code, then it is reasonable to expect that the distribution of physicochemical properties among the amino acids in precursor-product relationships cannot be random but must, rather, be affected by some selective constraints imposed by the structure of primitive proteins. Analysis shows that measurements representing the size of amino acids, e.g. bulkiness, are specifically associated to the pairs of amino acids in precursor-product relationships. However, the size of amino acids cannot have been selected per se but, rather, because it reflects the-sheets of proteins which are, therefore, identified as the main adaptive theme promoting the origin of genetic code organization. Whereas there are no traces of the-helix in the genetic code table.The above considerations make it necessary to re-examine the relationship linking the hydrophilicity of the dinucleoside monophosphates of anticodons and the polarity and bulkiness of amino acids. It can be concluded that this relationship seems to be meaningful only between the hydrophilicity of anticodons and the polarity of amino acids. The latter relationship is supposed to have been operative on hairpin structures, ancestors of the tRNA molecule. Moreover, it is on these very structures that the biosynthetic links between precursor and product amino acids might have been achieved, and the interaction between the hydrophilicity of anticodons and the polarity of amino acids might have had a role in the concession of codons (anticodons) from precursors to products.     

The Robust Statistical Bases of the Coevolution Theory of Genetic Code Origin

A paper (Amirnovin R, J Mol Evol 44:473–476, 1997) seems to undermine the validity of the coevolution theory of genetic code origin by shedding doubt on the connection between the biosynthetic relationships between amino acids and the organization of the genetic code, at a time when the literature on the topic takes this for granted. However, as a few papers cite this paper as evidence against the coevolution theory, and to cast aside all doubt on the subject, we have decided to reanalyze the statistical bases on which this theory is founded. We come to the following conclusions: (1) the methods used in the above referred paper contain certain mistakes, and (2) the statistical foundations on which the coevolution theory is based are extremely robust. We have done this by critically appraising Amirnovin's paper and suggesting an alternative method based on the generation of random codes which, along with the method reported in the literature, allows us to evaluate the significance, in the genetic code, of different sets of amino acid pairs in biosynthetic relationships. In particular, by using this method and after building up a certain set of amino acid pairs reflecting the expectations of the coevolution theory, we show that the presence of this set in the genetic code would be obtained, purely by chance, with a probability of 6 × 10⁻⁵. This observation seems to provide particularly strong support to the coevolution theory. Received: 28 June 1999 / Accepted: 23 October 1999     

What Amino Acid Properties Affect Protein Evolution?

We studied 10 protein-coding mitochondrial genes from 19 mammalian species to evaluate the effects of 10 amino acid properties on the evolution of the genetic code, the amino acid composition of proteins, and the pattern of nonsynonymous substitutions. The 10 amino acid properties studied are the chemical composition of the side chain, two polarity measures, hydropathy, isoelectric point, volume, aromaticity, aliphaticity, hydrogenation, and hydroxythiolation. The genetic code appears to have evolved toward minimizing polarity and hydropathy but not the other seven properties. This can be explained by our finding that the presumably primitive amino acids differed much only in polarity and hydropathy, but little in the other properties. Only the chemical composition (C) and isoelectric point (IE) appear to have affected the amino acid composition of the proteins studied, that is, these proteins tend to have more amino acids with typical C and IE values, so that nonsynonymous mutations tend to result in small differences in C and IE. All properties, except for hydroxythiolation, affect the rate of nonsynonymous substitution, with the observed amino acid changes having only small differences in these properties, relative to the spectrum of all possible nonsynonymous mutations. Received: 2 January 1998 / Accepted: 25 April 1998     

On Error Minimization in a Sequential Origin of the Standard Genetic Code

Distances between amino acids were derived from the polar requirement measure of amino acid polarity and Benner and co-workers' (1994) 74-100 PAM matrix. These distances were used to examine the average effects of amino acid substitutions due to single-base errors in the standard genetic code and equally degenerate randomized variants of the standard code. Second-position transitions conserved all distances on average, an order of magnitude more than did second-position transversions. In contrast, first-position transitions and transversions were about equally conservative. In comparison with randomized codes, second-position transitions in the standard code significantly conserved mean square differences in polar requirement and mean Benner matrix-based distances, but mean absolute value differences in polar requirement were not significantly conserved. The discrepancy suggests that these commonly used distance measures may be insufficient for strict hypothesis testing without more information. The translational consequences of single-base errors were then examined in different codon contexts, and similarities between these contexts explored with a hierarchical cluster analysis. In one cluster of codon contexts corresponding to the RNY and GNR codons, second-position transversions between C and G and transitions between C and U were most conservative of both polar requirement and the matrix-based distance. In another cluster of codon contexts, second-position transitions between A and G were most conservative. Despite the claims of previous authors to the contrary, it is shown theoretically that the standard code may have been shaped by position-invariant forces such as mutation and base content. These forces may have left heterogeneous signatures in the code because of differences in translational fidelity by codon position. A scenario for the origin of the code is presented wherein selection for error minimization could have occurred multiple times in disjoint parts of the code through a phyletic process of competition between lineages. This process permits error minimization without the disruption of previously useful messages, and does not predict that the code is optimally error-minimizing with respect to modern error. Instead, the code may be a record of genetic process and patterns of mutation before the radiation of modern organisms and organelles. Received: 28 July 1997 / Accepted: 23 January 1998     

A Novel Theory on the Origin of the Genetic Code: A GNC-SNS Hypothesis

We have previously proposed an SNS hypothesis on the origin of the genetic code (Ikehara and Yoshida 1998). The hypothesis predicts that the universal genetic code originated from the SNS code composed of 16 codons and 10 amino acids (S and N mean G or C and either of four bases, respectively). But, it must have been very difficult to create the SNS code at one stroke in the beginning. Therefore, we searched for a simpler code than the SNS code, which could still encode water-soluble globular proteins with appropriate three-dimensional structures at a high probability using four conditions for globular protein formation (hydropathy, α-helix, β-sheet, and β-turn formations). Four amino acids (Gly [G], Ala [A], Asp [D], and Val [V]) encoded by the GNC code satisfied the four structural conditions well, but other codes in rows and columns in the universal genetic code table do not, except for the GNG code, a slightly modified form of the GNC code. Three three-amino acid systems ([D], Leu and Tyr; [D], Tyr and Met; Glu, Pro and Ile) also satisfied the above four conditions. But, some amino acids in the three systems are far more complex than those encoded by the GNC code. In addition, the amino acids in the three-amino acid systems are scattered in the universal genetic code table. Thus, we concluded that the universal genetic code originated not from a three-amino acid system but from a four-amino acid system, the GNC code encoding [GADV]-proteins, as the most primitive genetic code. Received: 11 June 2001 / Accepted: 11 October 2001     

An Analysis of the Metabolic Theory of the Origin of the Genetic Code

A computer program was used to test Wong's coevolution theory of the genetic code. The codon correlations between the codons of biosynthetically related amino acids in the universal genetic code and in randomly generated genetic codes were compared. It was determined that many codon correlations are also present within random genetic codes and that among the random codes there are always several which have many more correlations than that found in the universal code. Although the number of correlations depends on the choice of biosynthetically related amino acids, the probability of choosing a random genetic code with the same or greater number of codon correlations as the universal genetic code was found to vary from 0.1% to 34% (with respect to a fairly complete listing of related amino acids). Thus, Wong's theory that the genetic code arose by coevolution with the biosynthetic pathways of amino acids, based on codon correlations between biosynthetically related amino acids, is statistical in nature. Received: 8 August 1996 / Accepted: 26 December 1996     

The Impact of Message Mutation on the Fitness of a Genetic Code

The Standard Genetic Code is organized such that similar codons encode similar amino acids. One explanation suggested that the Standard Code is the result of natural selection to reduce the fitness ``load' that derives from the mutation and mistranslation of protein-coding genes. We review the arguments against the mutational load-minimizing hypothesis and argue that they need to be reassessed. We review recent analyses of the organization of the Standard Code and conclude that under cautious interpretation they support the mutational load-minimizing hypothesis. We then present a deterministic asexual model with which we study the mode of selection for load minimization. In this model, individual fitness is determined by a protein phenotype resulting from the translation of a mutable set of protein-coding genes. We show that an equilibrium fitness may be associated with a population with the same genetic code and that genetic codes that assign similar codons to similar amino acids have a higher fitness. We also show that the number of mutant codons in each individual at equilibrium, which determines the strength of selection for load minimization, reflects a long-term evolutionary balance between mutations in messages and selection on proteins, rather than the number of mutations that occur in a single generation, as has been assumed by previous authors. We thereby establish that selection for mutational load minimization acts at the level of an individual in a single generation. We conclude with comments on the shortcomings and advantages of load minimization over other hypotheses for the origin of the Standard Code. Received: 4 April 2001 / Accepted: 22 October 2001     

On the Evolution of Redundancy in Genetic Codes

We simulate a deterministic population genetic model for the coevolution of genetic codes and protein-coding genes. We use very simple assumptions about translation, mutation, and protein fitness to calculate mutation-selection equilibria of codon frequencies and fitness in a large asexual population with a given genetic code. We then compute the fitnesses of altered genetic codes that compete to invade the population by translating its genes with higher fitness. Codes and genes coevolve in a succession of stages, alternating between genetic equilibration and code invasion, from an initial wholly ambiguous coding state to a diversified frozen coding state. Our simulations almost always resulted in partially redundant frozen genetic codes. Also, the range of simulated physicochemical properties among encoded amino acids in frozen codes was always less than maximal. These results did not require the assumption of historical constraints on the number and type of amino acids available to codes nor on the complexity of proteins, stereochemical constraints on the translational apparatus, nor mechanistic constraints on genetic code change. Both the extent and timing of amino-acid diversification in genetic codes were strongly affected by the message mutation rate and strength of missense selection. Our results suggest that various omnipresent phenomena that distribute codons over sites with different selective requirements—such as the persistence of nonsynonymous mutations at equilibrium, the positive selection of the same codon in different types of sites, and translational ambiguity—predispose the evolution of redundancy and of reduced amino acid diversity in genetic codes. Received: 21 December 2000 / Accepted: 12 March 2001     

The phylogeny of trnas seems to confirm the predictions of the coevolution theory of the origin of the genetic code

An extensive analysis of the evolutionary relationships existing between transfer RNAs, performed using parsimony algorithms, is presented. After building up an estimate of the tRNA ancestral sequences, these sequences are then compared using certain methods. The results seem to suggest that the coevolution hypothesis (Wong, J.T., 1975, Proc. Natl. Acad. Sci. USA 72, 1909–1912) that sees the genetic code as a map of the biosynthetic relationships between amino acids is further supported by these results, as compared to the hypotheses that see the physicochemical properties of amino acids as the main adaptative theme that led to the structuring of the genetic code.     

The Genetic Code: What Is It Good For? An Analysis of the Effects of Selection Pressures on Genetic Codes

How did the ``universal' genetic code arise? Several hypotheses have been put forward, and the code has been analyzed extensively by authors looking for clues to selection pressures that might have acted during its evolution. But this approach has been ineffective. Although an impressive number of properties has been attributed to the universal code, it has been impossible to determine whether selection on any of these properties was important in the code's evolution or whether the observed properties arose as a consequence of selection on some other characteristic. Therefore we turned the question around and asked, what would a genetic code look like if it had evolved in response to various different selection pressures? To address this question, we constructed a genetic algorithm. We found first that selecting on a particular measure yields codes that are similar to each other. Second, we found that the universal code is far from minimized with respect to the effects of mutations (or translation errors) on the amino acid compositions of proteins. Finally, we found that the codes that most closely resembled real codes were those generated by selecting on aspects of the code's structure, not those generated by selecting to minimize the effects of amino acid substitutions on proteins. This suggests that the universal genetic code has been selected for a particular structure—a structure that confers an important flexibility on the evolution of genes and proteins—and that the particular assignments of amino acids to codons are secondary. Received: 29 December 1998 / Accepted: 8 July 1999     

An extension of the coevolution theory of the origin of the genetic code

Background  

The coevolution theory of the origin of the genetic code suggests that the genetic code is an imprint of the biosynthetic relationships between amino acids. However, this theory does not seem to attribute a role to the biosynthetic relationships between the earliest amino acids that evolved along the pathways of energetic metabolism. As a result, the coevolution theory is unable to clearly define the very earliest phases of genetic code origin. In order to remove this difficulty, I here suggest an extension of the coevolution theory that attributes a crucial role to the first amino acids that evolved along these biosynthetic pathways and to their biosynthetic relationships, even when defined by the non-amino acid molecules that are their precursors.     

Concurrent Neutral Evolution of mRNA Secondary Structures and Encoded Proteins

Messenger RNA sequences often have to preserve functional secondary structure elements in addition to coding for proteins. We present a statistical analysis of retroviral mRNA which supports the hypothesis that the natural genetic code is adapted to such complementary coding. These sequences are still able to explore efficiently the space of possible proteins by point mutations. This is borne out by the observation that, in stem regions of retroviral mRNA foldings, silent mutations on one strand are preferentially accompanied by conservative mutations on the other. Distances between amino acids based on physicochemical properties are used to quantify the conservation of protein function under the constraint of maintained RNA secondary structure. We find that preservation of RNA secondary structure by compensatory mutations is evolutionary compatible with the efficient search for new variants on the protein level. Received: 4 June 1999 / Accepted: 12 October 1999     

A Blind Empiricism Against the Coevolution Theory of the Origin of the Genetic Code

Ronneberg et al. (Proc Natl Acad Sci USA 97:13690–13695, 2000) recently suggested abandoning the coevolution theory of genetic code origin on the basis of two pieces of evidence. They (1) criticize the use of several pairs of amino acids in a precursor–product relationship to support this theory and (2) suggest a new set of codes in which to investigate the statistical bases of the coevolution theory, reaching the conclusion that this theory is not statistically validated in this set. In this paper I critically analyze the robustness of these conclusions. Observations and arguments lead to the belief that the pairs of amino acids in a precursor–product relationship originally used by the coevolution theory are such, or may at least be interpreted as such, and are therefore a manifestation of this theory. Furthermore, the new set of codes that Ronneberg et al. suggest is open to criticism and is thus substituted by the set of amino acid permutation codes, in which even the pairs of amino acids they favor end up by supporting the coevolution theory. Overall, the analysis seems to show that the paper by Ronneberg et al. is of minor scientific value while the coevolution theory seems to be one of the best theories at our disposal for explaining the evolutionary organisation of the genetic code and is, contrary to their claims, statistically well validated. Received: 21 February 2001 / Accepted: 22 May 2001     

The non-universality of the genetic code: the universal ancestor was a progenote

The coevolution theory of genetic code origin (Wong, J.T. 1975, Proc. Natl Acad. Sci. U.S.A.72, 1909-1912) is assumed here to be substantially correct. This theory is based on the strict parallelism of the biosynthetic relationships between amino acids and the organization of the genetic code and postulates that these relationships were mediated by tRNA-like molecules on which the biosynthetic transformations between precursor and product amino acids took place. These transformations underlay the mechanism that gave rise to genetic code organization. One of the pathways which represents these transformations found in current organisms, and which are thus probably molecular fossils, is the Met-tRNA(fMet)-->fMet-tRNA(fMet)pathway. This pathway is present only in the Bacteria domain. This along with other observations and arguments leads us to believe that this pathway is a clear violation of the universality of the genetic code. Furthermore, the presence of this pathway only in the Bacteria domain seems to imply that the translation apparatus was still rapidly evolving when this pathway was fixed. This, in turn, appears to imply that the last universal common ancestor was a progenote. Finally, the implications that the finding of this pathway has for the stereochemical theory of genetic code origin are discussed.     

On the Origin of Metabolic Pathways

The heterotrophic theory of the origin of life is the only proposal available with experimental support. This comes from the ease of prebiotic synthesis under strongly reducing conditions. The prebiotic synthesis of organic compounds by reduction of CO₂ to monomers used by the first organisms would also be considered an heterotrophic origin. Autotrophy means that the first organisms biosynthesized their cell constituents as well as assembling them. Prebiotic synthetic pathways are all different from the biosynthetic pathways of the last common ancestor (LCA). The steps leading to the origin of the metabolic pathways are closer to prebiotic chemistry than to those in the LCA. There may have been different biosynthetic routes between the prebiotic and the LCAs that played an early role in metabolism but have disappeared from extant organisms. The semienzymatic theory of the origin of metabolism proposed here is similar to the Horowitz hypothesis but includes the use of compounds leaking from preexisting pathways as well as prebiotic compounds from the environment.     

Obcells as Proto-Organisms: Membrane Heredity, Lithophosphorylation, and the Origins of the Genetic Code, the First Cells, and Photosynthesis

I attempt to sketch a unified picture of the origin of living organisms in their genetic, bioenergetic, and structural aspects. Only selection at a higher level than for individual selfish genes could power the cooperative macromolecular coevolution required for evolving the genetic code. The protein synthesis machinery is too complex to have evolved before membranes. Therefore a symbiosis of membranes, replicators, and catalysts probably mediated the origin of the code and the transition from a nucleic acid world of independent molecular replicators to a nucleic acid/protein/lipid world of reproducing organisms. Membranes initially functioned as supramolecular structures to which different replicators attached and were selected as a higher-level reproductive unit: the proto-organism. I discuss the roles of stereochemistry, gene divergence, codon capture, and selection in the code's origin. I argue that proteins were primarily structural not enzymatic and that the first biological membranes consisted of amphipathic peptidyl-tRNAs and prebiotic mixed lipids. The peptidyl-tRNAs functioned as genetically-specified lipid analogues with hydrophobic tails (ancestral signal peptides) and hydrophilic polynucleotide heads. Protoribosomes arose from two cooperating RNAs: peptidyl transferase (large subunit) and mRNA-binder (small subunit). Early proteins had a second key role: coupling energy flow to the phosphorylation of gene and peptide precursors, probably by lithophosphorylation by membrane-anchored kinases scavenging geothermal polyphosphate stocks. These key evolutionary steps probably occurred on the outer surface of an `inside out-cell' or obcell, which evolved an unambiguous hydrophobic code with four prebiotic amino acids and proline, and initiation by isoleucine anticodon CAU; early proteins and nucleozymes were all membrane-attached. To improve replication, translation, and lithophosphorylation, hydrophilic substrate-binding and catalytic domains were later added to signal peptides, yielding a ten-acid doublet code. A primitive proto-ecology of molecular scavenging, parasitism, and predation evolved among obcells. I propose a new theory for the origin of the first cell: fusion of two cup-shaped obcells, or hemicells, to make a protocell with double envelope, internal genome and ribosomes, protocytosol, and periplasm. Only then did water-soluble enzymes, amino acid biosynthesis, and intermediary metabolism evolve in a concentrated autocatalytic internal cytosolic soup, causing 12 new amino acid assignments, termination, and rapid freezing of the 22-acid code. Anticodons were recruited sequentially: GNN, CNN, INN, and *UNN. CO₂ fixation, photoreduction, and lipid synthesis probably evolved in the protocell before photophosphorylation. Signal recognition particles, chaperones, compartmented proteases, and peptidoglycan arose prior to the last common ancestor of life, a complex autotrophic, anaerobic green bacterium. Received: 19 February 2001 / Accepted: 9 April 2001