Genetic code and optimal resistance to the effects of mutations

This paper deals with the notion of resistance of the genetic code to the effects of mutations. We measure the resistance of a group of t codons as the number of pairs of those which differ from each other in only one of their three bases. We find for each value of t the maximum possible value of the resistance and we describe some groups of codons giving this value. Important examples of such configurations are found in the genetic code, among these are the groups of synonymous codons, as observed elsewhere, and the cluster of codons which have an hydrophobic amino acid for translation.     

Evolution of the Genetic Triplet Code via Two Types of Doublet Codons

Explaining the apparent non-random codon distribution and the nature and number of amino acids in the ‘standard’ genetic code remains a challenge, despite the various hypotheses so far proposed. In this paper we propose a simple new hypothesis for code evolution involving a progression from singlet to doublet to triplet codons with a reading mechanism that moves three bases each step. We suggest that triplet codons gradually evolved from two types of ambiguous doublet codons, those in which the first two bases of each three-base window were read (‘prefix’ codons) and those in which the last two bases of each window were read (‘suffix’ codons). This hypothesis explains multiple features of the genetic code such as the origin of the pattern of four-fold degenerate and two-fold degenerate triplet codons, the origin of its error minimising properties, and why there are only 20 amino acids. Reviewing Editor: Dr. Laura Landweber An erratum to this article can be found at .     

Red queen dynamics of protein translation

We explore adaptive theories for the diversity of translational binding based on the genetic code viewed as a primitive mechanism of resistance. Modifying the set of codons bound by tRNA anticodon molecules or changing the specificity of binding, reduces the replication rate of translational parasites such as viruses. Increased translational efficiency of the parasite requires a high degree of specificity of host tRNAs for the parasite codons. This suggests that the genetic code might serve as the first line of defense against infection. We construct a red queen theory for translational diversity: a theory in which host-translational strategies- as defined by the degree of redundancy (a single anticodon binding many codons for a single amino acid) or degeneracy (many anticodons binding many codons for a single amino acid)-are constantly shifting through time to evade parasitism but where neither parasite nor host gain a systematic advantage.     

Construction of genetic code from evolutionary stability

The construction of the genetic code is investigated based on a stability principle. The concept and formulation of mutational deterioration (MD) of the genetic code is proposed. It is proved that the degeneracies of codon multiplets obey the rule to best resist MD. The MD for each ideal multiplet of codons is expressed by four parameters and it takes on a minimum value for real distributions of codons in the multiplet. Then the global mutational deterioration (GMD) of code table is calculated and the minimal code is deduced. The domain-like distribution of hydrophobic and hydrophilic amino acids on the genetic code is explained from the minimization of GMD. It is demonstrated that the standard code is approximately GMD-minimal. By introducing some constraints that are related to the initial condition of the system, we have deduced the standard genetic code from the minimization of GMD. The minimization shows the general trend of evolutionary process to some stable state while the constraints reflect a 'frozen accident.' Many deviant codon assignments are also explained through MD minimization assuming the changeable degrees of degeneracies for some multiplets. So, a possible answer to the question of "Why are synonymous codons and amino acids distributed in the code table just as they are?" is given.     

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.     

Noise immunity of the genetic code

Error detection and correction properties are fundamental for informative codes. Hamming's distance allows us to study this noise resistance. We present codes characterized by the resistance optimization to nonsense mutational effects. The calculation of the cumulated Hamming's distance allowing to determine the number of optimal codes and their structure can be detailed. The principle of these laws of optimization of resistance consists of choosing constituent codons connected by mutational neighbouring in such a way that random application of mutations on such a code minimize the occurrence of nonsense n-uplets or terminators. New coding symmetries are then described and screened using Galois's polynomials properties and Baudot's code. Such a study can be applied to any length of the codons. Here we present the principles of this optimization for the most simple doublet codes. Another constraint is discussed: the distribution of optimal subcodes for synonymity and the frequencies of utilization of the different codons.We compare these results to those of the present genetic code, and we observe that all coded amino acids (except the particular case of SER) are using optimal sub-codes of synonymity.This work suggests that the appearance of the genetic code was provoked by mutations while optimizing on several levels its resistance to their effects. Thus genetic coding would have been the best automata that could be produced in prebiotic conditions.     

Some theoretical aspects of reprogramming the standard genetic code

Reprogramming of the standard genetic code to include non-canonical amino acids (ncAAs) opens new prospects for medicine, industry, and biotechnology. There are several methods of code engineering, which allow us for storing new genetic information in DNA sequences and producing proteins with new properties. Here, we provided a theoretical background for the optimal genetic code expansion, which may find application in the experimental design of the genetic code. We assumed that the expanded genetic code includes both canonical and non-canonical information stored in 64 classical codons. What is more, the new coding system is robust to point mutations and minimizes the possibility of reversion from the new to old information. In order to find such codes, we applied graph theory to analyze the properties of optimal codon sets. We presented the formal procedure in finding the optimal codes with various number of vacant codons that could be assigned to new amino acids. Finally, we discussed the optimal number of the newly incorporated ncAAs and also the optimal size of codon groups that can be assigned to ncAAs.     

遗传密码子研究进展

作为生命信息的基本遗传单位,基因组遗传密码的破译对于人们加深对生命本质的认识具有重要的理论价值和现实意义。目前,遗传密码子的研究重心已由遗传密码子的破译及反常密码子的发现转入到遗传密码子的起源与进化及扩张等研究。遗传密码子的起源与进化是当今基因组学研究的热点命题之一,相关的学说、假设层出不穷,但尚未取得实质性突破。另一方面,无义密码子的再定义及遗传密码的扩张等研究却极大的丰富和发展了遗传密码子的科学内涵,推动了生命科学研究的发展。文章综述了遗传密码子的多态性、起源与进化、无义密码子的再定义及遗传密码的扩张等方面的研究进展,并就其应用价值作了评述,期待为其在基因组学、医学等相关领域的应用研究提供参考。     

The logic of the genetic code: Synonyms and optimality against effects of mutations

The groups of codons which correspond to the same amino-acid in the genetic code (synonyms) are compared to theoretical codes constructed so as to resist best to the effects of mutations. The analysis shows that the genetic code presents synonymy structures which are optimized against translation errors.     

Structuring of the genetic code took place at acidic pH

I have observed that in multiple regression the number of codons specifying amino acids in the genetic code is positively correlated with the isoelectric point of amino acids and their molecular weight. Therefore basic amino acids are, on average, codified in the genetic code by a larger number of codons, which seems to imply that the genetic code originated in an acidic 'intracellular' environment. Moreover, I compare the proteins from Picrophilus torridus and Thermoplasma volcanium, which have different intracellular pH and I define the ranks of acidophily for the amino acids. A simple index of acidophily (AI), which can be easily obtained from acidophily ranks, can be associated to any protein and, therefore, can also be associated to the genetic code if the number of synonymous codons attributed to the amino acids in the code is assumed to be the frequency with which the amino acids appeared in ancestral proteins. Finally, the sampling of the variable AI among organisms having an intracellular pH less than or equal to 6.6 and those having a non-acidic intracellular pH leads to the conclusion that the value of the genetic code's AI is not typical of proteins of the latter organisms. As the genetic code's AI value is also statistically not different from that of proteins of the organisms having an acidic intracellular pH, this supports the hypothesis that the structuring of the genetic code took place in acidic pH conditions.     

Evolution of the Genetic Code by Incorporation of Amino Acids that Improved or Changed Protein Function

Fifty years have passed since the genetic code was deciphered, but how the genetic code came into being has not been satisfactorily addressed. It is now widely accepted that the earliest genetic code did not encode all 20 amino acids found in the universal genetic code as some amino acids have complex biosynthetic pathways and likely were not available from the environment. Therefore, the genetic code evolved as pathways for synthesis of new amino acids became available. One hypothesis proposes that early in the evolution of the genetic code four amino acids—valine, alanine, aspartic acid, and glycine—were coded by GNC codons (N = any base) with the remaining codons being nonsense codons. The other sixteen amino acids were subsequently added to the genetic code by changing nonsense codons into sense codons for these amino acids. Improvement in protein function is presumed to be the driving force behind the evolution of the code, but how improved function was achieved by adding amino acids has not been examined. Based on an analysis of amino acid function in proteins, an evolutionary mechanism for expansion of the genetic code is described in which individual coded amino acids were replaced by new amino acids that used nonsense codons differing by one base change from the sense codons previously used. The improved or altered protein function afforded by the changes in amino acid function provided the selective advantage underlying the expansion of the genetic code. Analysis of amino acid properties and functions explains why amino acids are found in their respective positions in the genetic code.     

Is genetic code redundancy related to retention of structural information in both DNA strands?

We have noted that the sense-antisense relationships inherent in the genetic code divide the amino acids into three separate groups. The nature of the amino acids in each group may allow the polypeptides coded by the antisense strand to retain the secondary structure patterns of the translated strand. Also, this relationship requires all but eight of the codons in the eukaryotic code and all but four in the mitochondrial code. Thus, genetic code redundancy could be related to evolutionary pressure toward retention of protein structural information in both strands of DNA.     

A quantitative measure of error minimization in the genetic code

Summary We have calculated the average effect of changing a codon by a single base for all possible single-base changes in the genetic code and for changes in the first, second, and third codon positions separately. Such values were calculated for an amino acid's polar requirement, hydropathy, molecular volume, and isoelectric point. For each attribute the average effect of single-base changes was also calculated for a large number of randomly generated codes that retained the same level of redundancy as the natural code. Amino acids whose codons differed by a single base in the first and third codon positions were very similar with respect to polar requirement and hydropathy. The major differences between amino acids were specified by the second codon position. Codons with U in the second position are hydrophobic, whereas most codons with A in the second position are hydrophilic. This accounts for the observation of complementary hydropathy. Single-base changes in the natural code had a smaller average effect on polar requirement than all but 0.02% of random codes. This result is most easily explained by selection to minimize deleterious effects of translation errors during the early evolution of the code.     

Environmental PCR survey to determine the distribution of a non-canonical genetic code in uncultivable oxymonads

The universal genetic code is conserved throughout most living systems, but a non-canonical code where TAA and TAG encode glutamine has evolved in several eukaryotes, including oxymonad protists. Most oxymonads are uncultivable, so environmental RT-PCR and PCR was used to examine the distribution of this rare character. A total of 253 unique isolates of four protein-coding genes were sampled from the hindgut community of the cockroach, Cryptocercus punctulatus , an environment rich in diversity from two of the five subgroups of oxymonad, saccinobaculids and polymastigids. Four α-tubulins were found with non-canonical glutamine codons. Environmental RACE confirmed that these and related genes used only TGA as stop codons, as expected for the non-canonical code, whereas other genes used TAA or TAG as stop codons, as expected for the universal code. We characterized α-tubulin from manually isolated Saccinobaculus ambloaxostylus , confirming it uses the universal code and suggesting, by elimination, that the non-canonical code is used by a polymastigid. HSP90 and EF-1α phylogenies also showed environmental sequences falling into two distinct groups, and are generally consistent with previous hypotheses that polymastigids and Streblomastix are closely related. Overall, we propose that the non-canonical genetic code arose once in a common ancestor of Streblomastix and a subgroup of polymastigids.     

Protein synthesis: twenty three amino acids and counting

The genetic code can be interpreted during translation as 21 amino acids and three termination signals. Recent advances at the interface of chemistry and molecular biology are extending the genetic code to allow assignment of new amino acids to existing codons, providing new functional groups for protein synthesis.     

From Amino Acid Landscape to Protein Landscape: Analysis of Genetic Codes in Terms of Fitness Landscape

Assigning the values of a certain physicochemical property for individual amino acids to the corresponding codons, we can make an amino acid property "landscape" on a four valued three dimensional sequence space from a genetic code table. Eleven property landscapes made from the standard genetic code (SGC) were analyzed. The evaluation of correlation for each landscape is done by theta value, which represents the ratio of the mean slope (as an additive term) to the degree of roughness (as a nonadditive term). The theta-values for hydropathy indices, polarity, specific heat, and beta-sheet propensity were considerably large with respect to SGC. This implies that the additivity of the contribution from each letter holds for these properties. To clarify the meaning of the so-called mutational robustness of SGC, we next examined correlations between the amino acid property and the actual "site fitnesses" of a protein. The site fitnesses were derived from a set of binding preference scores of amino acid residues at every site in MHC class I molecule binding peptides (Udaka et al. in press). We found that the SGC's theta value for an amino acid property is correlated with the significance of the property in the protein function. Adaptive walk simulation on fitness (= affinity) landscapes in a base sequence space for these model peptides confirmed better evolvability due to the introduction of SGC.     

A Realistic Model Under Which the Genetic Code is Optimal

The genetic code has a high level of error robustness. Using values of hydrophobicity scales as a proxy for amino acid character, and the mean square measure as a function quantifying error robustness, a value can be obtained for a genetic code which reflects the error robustness of that code. By comparing this value with a distribution of values belonging to codes generated by random permutations of amino acid assignments, the level of error robustness of a genetic code can be quantified. We present a calculation in which the standard genetic code is shown to be optimal. We obtain this result by (1) using recently updated values of polar requirement as input; (2) fixing seven assignments (Ile, Trp, His, Phe, Tyr, Arg, and Leu) based on aptamer considerations; and (3) using known biosynthetic relations of the 20 amino acids. This last point is reflected in an approach of subdivision (restricting the random reallocation of assignments to amino acid subgroups, the set of 20 being divided in four such subgroups). The three approaches to explain robustness of the code (specific selection for robustness, amino acid–RNA interactions leading to assignments, or a slow growth process of assignment patterns) are reexamined in light of our findings. We offer a comprehensive hypothesis, stressing the importance of biosynthetic relations, with the code evolving from an early stage with just glycine and alanine, via intermediate stages, towards 64 codons carrying todays meaning.     

The evolution of the genetic code took place in an anaerobic environment

We have compared orthologous proteins from an aerobic organism, Cytophaga hutchinsonii, and from an obligate anaerobe, Bacteroides thetaiotaomicron. This comparison allows us to define the oxyphobic ranks of amino acids, i.e. a scale of the relative sensitivity to oxygen of the amino acid residues. The oxyphobic index (OI), which can be simply obtained from the amino acids' oxyphobic ranks, can be associated to any protein and therefore to the genetic code, if the number of synonymous codons attributed to the amino acids in the code is assumed to be the frequency with which the amino acids appeared in ancestral proteins. Sampling of the OI variable from the proteins of obligate anaerobes and aerobes has established that the OI value of the genetic code is not significantly different from the mean OI value of anaerobe proteins, while it is different from that of aerobe proteins. This observation would seem to suggest that the terminal phases of the evolution of genetic code organization took place in an anaerobic environment. This result is discussed in the framework of hypotheses suggested to explain the timing of the evolutionary appearance of the aerobic metabolism.     

Using a quadruplet codon to expand the genetic code of an animal

Genetic code expansion in multicellular organisms is currently limited to the use of repurposed amber stop codons. Here, we introduce a system for the use of quadruplet codons to direct incorporation of non-canonical amino acids in vivo in an animal, the nematode worm Caenorhabditis elegans. We develop hybrid pyrrolysyl tRNA variants to incorporate non-canonical amino acids in response to the quadruplet codon UAGA. We demonstrate the efficiency of the quadruplet decoding system by incorporating photocaged amino acids into two proteins widely used as genetic tools. We use photocaged lysine to express photocaged Cre recombinase for the optical control of gene expression and photocaged cysteine to express photo-activatable caspase for light inducible cell ablation. Our approach will facilitate the routine adoption of quadruplet decoding for genetic code expansion in eukaryotic cells and multicellular organisms.