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PubMed2004

Genetic code, hamming distance and stochastic matrices.

In this paper we use the Gray code representation of the genetic code C=00, U=10, G=11 and A=01 (C pairs with G, A pairs with U) to generate a sequence of genetic code-based matrices. In connection with these code-based matrices, we use the Hamming distance to generate a sequence of numerical matrices. We then further investigate the properties of the numerical matrices and show that they are doubly stochastic and symmetric. We determine the frequency distributions of the Hamming distances, building blocks of the matrices, decomposition and iterations of matrices. We present an explicit decomposition formula for the genetic code-based matrix in terms of permutation matrices, which provides a hypercube representation of the genetic code. It is also observed that there is a Hamiltonian cycle in a genetic code-based hypercube.

Amino Acids↗

PubMed2003

Characterisation of a non-canonical genetic code in the oxymonad Streblomastix strix.

The genetic code is one of the most highly conserved characters in living organisms. Only a small number of genomes have evolved slight variations on the code, and these non-canonical codes are instrumental in understanding the selective pressures maintaining the code. Here, we describe a new case of a non-canonical genetic code from the oxymonad flagellate Streblomastix strix. We have sequenced four protein-coding genes from S.strix and found that the canonical stop codons TAA and TAG encode the amino acid glutamine. These codons are retained in S.strix mRNAs, and the legitimate termination codons of all genes examined were found to be TGA, supporting the prediction that this should be the only true stop codon in this genome. Only four other lineages of eukaryotes are known to have evolved non-canonical nuclear genetic codes, and our phylogenetic analyses of alpha-tubulin, beta-tubulin, elongation factor-1 alpha (EF-1 alpha), heat-shock protein 90 (HSP90), and small subunit rRNA all confirm that the variant code in S.strix evolved independently of any other known variant. The independent origin of each of these codes is particularly interesting because the code found in S.strix, where TAA and TAG encode glutamine, has evolved in three of the four other nuclear lineages with variant codes, but this code has never evolved in a prokaryote or a prokaryote-derived organelle. The distribution of non-canonical codes is probably the result of a combination of differences in translation termination, tRNAs, and tRNA synthetases, such that the eukaryotic machinery preferentially allows changes involving TAA and TAG.

Amino Acid Sequence↗

PubMed1998

Reflections on the origin of the genetic code: a hypothesis.

The origin of the organisation of the genetic code reflects both the biosynthetic relationships between amino acids and the physicochemical interactions between these and anticodons; moreover, these two forces do not act independently. It must therefore be explained why it is simultaneously true that the anticodons of product amino acids were assigned prior to their biosynthetic appearance and that physicochemical correlations must exist between anticodons and amino acids. This gives rise to difficulties of interpretation, even of a more general nature, in the theories that have been proposed to explain the origin of the genetic code; a hypothesis is thus presented in this manuscript. In particular, the hypothesis suggests that RNA hairpin structures, the ancestors of tRNAs, housing anticodon-like nucleotides in the stem were charged with precursor amino acids. As the precursor amino acids gradually developed into product amino acids, a coevolution came into being between the development of amino acids and that of anticodons, with a concomitant formation of the complete tRNA molecule thought direct duplication of the hairpin structures. All this led to the definition of the genetic code organisation. Furthermore, this made it possible for the evolving anticodons to select the emerging product amino acids, which the hypothesis therefore considers to be unspecified in the initial phase of genetic code evolution but which were selected also because of their ability to interact with anticodons. In this way the main obstacle to interpretation is removed. Fossils of these events can now be observed in some amino acid-modified nucleosides specifically located in the tRNA anticodon loops. This is all presented in the framework of a general discussion of the ideas and data in favour of a late origin of the genetic code, as opposed to an early origin in the context of the theories proposed to explain the origin of the genetic code organisation.

Amino Acids↗

PubMed2006

An extended RNA code and its relationship to the standard genetic code: an algebraic and geometrical approach.

An algebraic and geometrical approach is used to describe the primaeval RNA code and a proposed Extended RNA code. The former consists of all codons of the type RNY, where R means purines, Y pyrimidines, and N any of them. The latter comprises the 16 codons of the type RNY plus codons obtained by considering the RNA code but in the second (NYR type), and the third, (YRN type) reading frames. In each of these reading frames, there are 16 triplets that altogether complete a set of 48 triplets, which specify 17 out of the 20 amino acids, including AUG, the start codon, and the three known stop codons. The other 16 codons, do not pertain to the Extended RNA code and, constitute the union of the triplets YYY and RRR that we define as the RNA-less code. The codons in each of the three subsets of the Extended RNA code are represented by a four-dimensional hypercube and the set of codons of the RNA-less code is portrayed as a four-dimensional hyperprism. Remarkably, the union of these four symmetrical pairwise disjoint sets comprises precisely the already known six-dimensional hypercube of the Standard Genetic Code (SGC) of 64 triplets. These results suggest a plausible evolutionary path from which the primaeval RNA code could have originated the SGC, via the Extended RNA code plus the RNA-less code. We argue that the life forms that probably obeyed the Extended RNA code were intermediate between the ribo-organisms of the RNA World and the last common ancestor (LCA) of the Prokaryotes, Archaea, and Eucarya, that is, the cenancestor. A general encoding function, E, which maps each codon to its corresponding amino acid or the stop signal is also derived. In 45 out of the 64 cases, this function takes the form of a linear transformation F, which projects the whole six-dimensional hypercube onto a four-dimensional hyperface conformed by all triplets that end in cytosine. In the remaining 19 cases the function E adopts the form of an affine transformation, i.e., the composition of F with a particular translation. Graphical representations of the four local encoding functions and E, are illustrated and discussed. For every amino acid and for the stop signal, a single triplet, among those that specify it, is selected as a canonical representative. From this mapping a graphical representation of the 20 amino acids and the stop signal is also derived. We conclude that the general encoding function E represents the SGC itself.

Amino Acids↗

PubMed1990

Genetic code 1990. Outlook.

The genetic code is evolving as shown by 9 departures from the universal code: 6 of them are in mitochondria and 3 are in nuclear codes. We propose that these changes are preceded by disappearance of a codon from coding sequences in mRNA of an organism or organelle. The function of the codon that disappears is taken by other, synonymous codons, so that there is no change in amino acid sequences of proteins. The deleted codon then reappears with a new function. Wobble pairing between anticodons and codons has evolved, starting with a single UNN anticodon pairing with 4 codons. Directional mutation pressure affects codon usage and may produce codon reassignments, especially of stop codons. Selenocysteine is coded by UGA, which is also a stop codon, and this anomaly is discussed. The outlook for discovery of more changes in the code is favorable, and open reading frames should be compared with actual sequential analyses of protein molecules in this search.

Anaerobiosis↗

PubMed1980

Role of minimization of chemical distances between amino acids in the evolution of the genetic code.

The allocation of codons in the genetic code makes possible a moderate minimization of the chemical distances between pairs of neighboring amino acids in the code. However, the code is neither a global nor a local optimum with respect to distance minimization. These findings do not support the physicochemical postulate that distance minimization was a major factor shaping the evolution of the genetic code. They agree with the coevolution theory, which proposes that genetic code evolution was predominantly determined by the concession of codons from precursor to product amino acids in an expansion of the code to accommodate new varieties of amino acids, with distance minimization playing a subsidiary role in deciding the choice of codons to be acquired by the product amino acids from the codon domains of the precursor amino acids.

Amino Acids↗

PubMed1994

The origin and evolution of the genetic code.

We argue that a primitive genetic code with only 20 separate words explains that there are 20 coded amino acids in modern life. The existence of 64 words on the modern genetic code requires modern life to read almost exclusively one strand of DNA in one direction. In our primitive code, both the original and the complementary sequence are read in either direction to give the same strings of amino acids. The algebra of complements forces synonymy of primitive codons so as to reduce the 64 independent codons of the modern code to exactly 20 independent separate words in the primitive condition. The synonymy in the modern code is the result of selection rather than algebraic forcing. The primitive code has almost no resilience to base mutations, unlike the third base redundancy of the modern code. Our primitive and the modern code are orthogonal. If palindromic proteins were coded by hairpin DNA or RNA, then (i) no punctuation would be needed; (ii) the reverse reading would give the same secondarily folded protein structure; and (iii) the sugar backbone would be read in the conventional 5' to 3' direction for the original arm and its complement. Modern copying of genetic material is almost always antiparallel. However, occasional parallel copying, as does occur in modern life, would give the complementary hairpin that would also read 5' to 3' along its entire length.(ABSTRACT TRUNCATED AT 250 WORDS)

Amino Acid Sequence↗

PubMed2001

Optimality of the genetic code with respect to protein stability and amino-acid frequencies.

BACKGROUND: The genetic code is known to be efficient in limiting the effect of mistranslation errors. A misread codon often codes for the same amino acid or one with similar biochemical properties, so the structure and function of the coded protein remain relatively unaltered. Previous studies have attempted to address this question quantitatively, by estimating the fraction of randomly generated codes that do better than the genetic code in respect of overall robustness. We extended these results by investigating the role of amino-acid frequencies in the optimality of the genetic code. RESULTS: We found that taking the amino-acid frequency into account decreases the fraction of random codes that beat the natural code. This effect is particularly pronounced when more refined measures of the amino-acid substitution cost are used than hydrophobicity. To show this, we devised a new cost function by evaluating in silico the change in folding free energy caused by all possible point mutations in a set of protein structures. With this function, which measures protein stability while being unrelated to the code's structure, we estimated that around two random codes in a billion (109) are fitter than the natural code. When alternative codes are restricted to those that interchange biosynthetically related amino acids, the genetic code appears even more optimal. CONCLUSIONS: These results lead us to discuss the role of amino-acid frequencies and other parameters in the genetic code's evolution, in an attempt to propose a tentative picture of primitive life.

Amino Acid Substitution↗

PubMed2006

The coevolution of genes and genetic codes: Crick's frozen accident revisited.

The standard genetic code is the nearly universal system for the translation of genes into proteins. The code exhibits two salient structural characteristics: it possesses a distinct organization that makes it extremely robust to errors in replication and translation, and it is highly redundant. The origin of these properties has intrigued researchers since the code was first discovered. One suggestion, which is the subject of this review, is that the code's organization is the outcome of the coevolution of genes and genetic codes. In 1968, Francis Crick explored the possible implications of coevolution at different stages of code evolution. Although he argues that coevolution was likely to influence the evolution of the code, he concludes that it falls short of explaining the organization of the code we see today. The recent application of mathematical modeling to study the effects of errors on the course of coevolution, suggests a different conclusion. It shows that coevolution readily generates genetic codes that are highly redundant and similar in their error-correcting organization to the standard code. We review this recent work and suggest that further affirmation of the role of coevolution can be attained by investigating the extent to which the outcome of coevolution is robust to other influences that were present during the evolution of the code.

Animals↗

PubMed2003

A new noncanonical nuclear genetic code: translation of UAA into glutamate.

Deviant genetic codes reported in ciliates share the same feature: one (UGA) or two (UAR) of the three canonical stop codons are translated into one particular amino acid. In many genera, such as Oxytricha, Paramecium, and Tetrahymena, UAR codons are translated into glutamine. UGA is translated into cysteine in Euplotes or into tryptophan in Colpoda inflata and Blepharisma americanum. Here, we show that three peritrich species (Vorticella microstoma, Opisthonecta henneguyi, and Opisthonecta matiensis) translate UAA into glutamate and that at least UAA in O. matiensis is decoded through a mutant suppressor-like tRNA. This kind of genetic code has never been reported for any living organism. Phylogenetic analysis with alpha-tubulin sequences corroborates that peritrichs, peniculines (Paramecium), and hymenostomates (Tetrahymena) form a monophyletic group (class Oligohymenophorea). The differential translation (glu/gln) of UAR codons, the monophyly of the Oligohymenophorea, and the common evolutionary origin of glutamate and glutamine suggest that deviant genetic codes of present-day oligohymenophoreans could have the same origin.

Actins↗

PubMed2003

Block structure and stability of the genetic code.

It is known that different codons may be unified into larger groups related to the hierarchical structure, approximate hidden symmetries, and evolutionary origin of the universal genetic code. Using a simplified evolutionary motivated two-letter version of genetic code, the general principles of the most stable coding are discussed. By the complete enumeration in such a reduced code it is strictly proved that the maximum stability with respect to point mutations and shifts in the reading frame needs the fixation of the middle letters within codons in groups with different physico-chemical properties, thus, explaining a key feature of the universal genetic code. The translational stability of the genetic code is studied by the mapping of code onto de Bruijn graph providing both the compact visual representation of mutual relationships between different codons as well as between codons and protein coding DNA sequence and a powerful tool for the investigation of stability of protein coding. Then, the results are extended to four-letter codes. As is shown, the universal genetic code obeys mainly the principles of optimal coding. These results demonstrate the hierarchical character of optimization of universal genetic code with strictly optimal coding being evolved at the earliest stages of molecular evolution. Finally, the universal genetic code is compared with the other natural variants of genetic codes.

Amino Acids↗

PubMed2025

Crick's "Frozen accident theory" of the genetic code explored by Ising models.

Francis Crick proposed that the almost universal genetic code could be nothing more than a 'frozen accident'. The Ising model, widely used in statistical mechanics, is used to explore patterns which could achieve a phase transition mimicking the frozen accident. Codons are considered as nodes and amino acids as spins. Monte Carlo simulations of the 64-node genetic code models are carried out. Anti-ferromagnetic interactions or a combination of ferro and anti-ferromagnetic interactions can lead to stable, regular patterns resembling the genetic code. It is indeed found that the 64-node Ising system exhibits critical slowing down dynamics, compatible with a freezing process. These models aim to simulate the formation of patterns similar to the genetic code through physical freezing processes, providing insights into potential mechanisms and processes that may have contributed to the formation and evolution of the genetic code.

Genetic Code↗

PubMed2002

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, alpha-helix, beta-sheet, and beta-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.

Alanine↗

PubMed2004

A new classification scheme of the genetic code.

Since the early days of the discovery of the genetic code nonrandom patterns have been searched for in the code in the hope of providing information about its origin and early evolution. Here we present a new classification scheme of the genetic code that is based on a binary representation of the purines and pyrimidines. This scheme reveals known patterns more clearly than the common one, for instance, the classification of strong, mixed, and weak codons as well as the ordering of codon families. Furthermore, new patterns have been found that have not been described before: Nearly all quantitative amino acid properties, such as Woese's polarity and the specific volume, show a perfect correlation to Lagerkvist's codon-anticodon binding strength. Our new scheme leads to new ideas about the evolution of the genetic code. It is hypothesized that it started with a binary doublet code and developed via a quaternary doublet code into the contemporary triplet code. Furthermore, arguments are presented against suggestions that a "simpler" code, where only the midbase was informational, was at the origin of the genetic code.

Amino Acids↗

PubMed2005

Mitochondrial genetic codes evolve to match amino acid requirements of proteins.

Mitochondria often use genetic codes different from the standard genetic code. Now that many mitochondrial genomes have been sequenced, these variant codes provide the first opportunity to examine empirically the processes that produce new genetic codes. The key question is: Are codon reassignments the sole result of mutation and genetic drift? Or are they the result of natural selection? Here we present an analysis of 24 phylogenetically independent codon reassignments in mitochondria. Although the mutation-drift hypothesis can explain reassignments from stop to an amino acid, we found that it cannot explain reassignments from one amino acid to another. In particular--and contrary to the predictions of the mutation-drift hypothesis--the codon involved in such a reassignment was not rare in the ancestral genome. Instead, such reassignments appear to take place while the codon is in use at an appreciable frequency. Moreover, the comparison of inferred amino acid usage in the ancestral genome with the neutral expectation shows that the amino acid gaining the codon was selectively favored over the amino acid losing the codon. These results are consistent with a simple model of weak selection on the amino acid composition of proteins in which codon reassignments are selected because they compensate for multiple slightly deleterious mutations throughout the mitochondrial genome. We propose that the selection pressure is for reduced protein synthesis cost: most reassignments give amino acids that are less expensive to synthesize. Taken together, our results strongly suggest that mitochondrial genetic codes evolve to match the amino acid requirements of proteins.

Amino Acids↗

PubMed2026

Alternative genetic codes in bacteria and archaea identified with a fast k-mer-based algorithm.

The genetic code is conserved across all domains of life and is often described as universal. Nevertheless, many exceptions to the "universal" code have now been documented, most of these through manual or semiautomated inspection of highly conserved genes. Modern bioinformatics tools improved our ability to find alternative genetic codes but remain computationally expensive, preventing widespread use on thousands of new species identified by sequencing environmental samples. Here, I report a >100-fold accelerated method for inferring the genetic code directly from assembled genomes and apply it to thousands of previously uncharacterized assemblies from archaea and bacteria. I describe three candidate genetic code variations, one of which, an alternative genetic code used by a family of Asgard archaea, is a unique example of sense codon reassignments for this domain. Identifying genetic code variations is important for understanding evolution of the standard code and improving accuracy of protein databases and open reading frame identification.

Genetic Code↗

PubMed2001

Flexibility of the genetic code with respect to DNA structure.

MOTIVATION: The primary function of DNA is to carry genetic information through the genetic code. DNA, however, contains a variety of other signals related, for instance, to reading frame, codon bias, pairwise codon bias, splice sites and transcription regulation, nucleosome positioning and DNA structure. Here we study the relationship between the genetic code and DNA structure and address two questions. First, to which degree does the degeneracy of the genetic code and the acceptable amino acid substitution patterns allow for the superimposition of DNA structural signals to protein coding sequences? Second, is the origin or evolution of the genetic code likely to have been constrained by DNA structure? RESULTS: We develop an index for code flexibility with respect to DNA structure. Using five different di- or tri-nucleotide models of sequence-dependent DNA structure, we show that the standard genetic code provides a fair level of flexibility at the level of broad amino acid categories. Thus the code generally allows for the superimposition of any structural signal on any protein-coding sequence, through amino acid substitution. The flexibility observed at the level of single amino acids allows only for the superimposition of punctual and loosely positioned signals to conserved amino acid sequences. The degree of flexibility of the genetic code is low or average with respect to several classes of alternative codes. This result is consistent with the view that DNA structure is not likely to have played a significant role in the origin and evolution of the genetic code.

Amino Acids↗

PubMed2001

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.

Amino Acids↗