Theoretical minimal RNA rings designed according to coding constraints mimic deamination gradients

An irreversible thermodynamic model of prebiological dissipative molecular structures inside vacuoles at the surface of the Archean Ocean

A prebiotic model, based in the framework of thermodynamic efficiency loss from small dissipative eukaryote organisms is developed to describe the maximum possible concentration of solar power to be dissipated on topological circular molecules structures encapsulated in lipid-walled vacuoles, which floated in the Archean oceans. By considering previously, the analysis of 71 species examined by covering 18 orders of mass magnitude from the Megapteranovaeangliae to Saccharomyces cerevisiae suggest that in molecular structures of smaller masses than any living being known nowadays, the power dissipation must be directly proportional to the power of the photons of solar origin that impinge them to give rise to the formation of more complex self-assembled molecular structures at the prebiotic stage by a quantum mechanics model of resonant photon wavelength excitation. The analysis of 12 circular molecules (encapsulated in lipid-walled vacuoles) relevant to the evolution of life on planet Earth such as the five nucleobases, and some aromatic molecules as pyrimidine, porphyrin, chlorin, coumarin, xanthine, etc., were carried out. Considering one vacuole of each type of molecule per square meter of the ocean's surface of planet Earth (1.8∗1015 vacuoles), their dissipative operation would require only 10-10 times the matter used by the biomass currently existing on Earth. Relevant numbers (1020-1021) for the annual dissipative cycles corresponding to high energy photo chemical events, which in principle allow the assembling of more complex polymers, were obtained. The previous figures are compatible with some results obtained by followers of the primordial soup theory where under certain suppositions about the Archean chemical kinetical changes on the precursors of RNA and DNA try to justify the formation rate of RNA and DNA components and the emergence of life within a 10-million-year window, 3.5 billion years ago. The physical foundation perspective and the simplicity of the proposed approach suggests that it can serve as a possible template for both, the development of new kind of experiments, and for prebiotic theories that address self-organization occurring inside such vacuoles. Our model provides a new way to conceptualize the self-production of simple cyclic dissipative molecular structures in the Archean period of planet Earth. © 2017 ElsevierInc.Allrightsreserved.

Negative CG dinucleotide bias: An explanation based on feedback loops between Arginine codon assignments and theoretical minimal RNA rings

Theoretical minimal RNA rings are candidate primordial genes evolved for non-redundant coding of the genetic code's 22 coding signals (one codon per biogenic amino acid, a start and a stop codon) over the shortest possible length: 29520 22-nucleotide-long RNA rings solve this min-max constraint. Numerous RNA ring properties are reminiscent of natural genes. Here we present analyses showing that all RNA rings lack dinucleotide CG (a mutable, chemically instable dinucleotide coding for Arginine), bearing a resemblance to known CG-depleted genomes. CG in "incomplete" RNA rings (not coding for all coding signals, with only 3-12 nucleotides) gradually decreases towards CG absence in complete, 22-nucleotide-long RNA rings. Presumably, feedback loops during RNA ring growth during evolution (when amino acid assignment fixed the genetic code) assigned Arg to codons lacking CG (AGR) to avoid CG. Hence, as a chemical property of base pairs, CG mutability restructured the genetic code, thereby establishing itself as genetically encoded biological information.

Codon assignment evolvability in theoretical minimal RNA rings

Genetic code codon-amino acid assignments evolve for 15 (AAA, AGA, AGG, ATA, CGG, CTA, CTG. CTC, CTT, TAA, TAG, TCA, TCG, TGA and TTA (GNN codons notably absent)) among 64 codons (23.4%) across the 31 genetic codes (NCBI list completed with recently suggested green algal mitochondrial genetic codes). Their usage in 25 theoretical minimal RNA rings is examined. RNA rings are designed in silico to code once over the shortest length for all 22 coding signals (start and stop codons and each amino acid according to the standard genetic code). Though designed along coding constraints, RNA rings resemble ancestral tRNA loops, assigning to each RNA ring a putative anticodon, a cognate amino acid and an evolutionary genetic code integration rank for that cognate amino acid. Analyses here show 1. biases against/for evolvable codons in the two first vs last thirds of RNA ring coding sequences, 2. RNA rings with evolvable codons have recent cognates, and 3. evolvable codon and cytosine numbers in RNA ring compositions are positively correlated. Applying alternative genetic codes to RNA rings designed for nonredundant coding according to the standard genetic code reveals unsuspected properties of the standard genetic code and of RNA rings, notably on codon assignment evolvability and the special role of cytosine in relation to codon assignment evolvability and of the genetic code's coding structure.

Theoretical minimal RNA rings mimick molecular evolution before tRNA-mediated translation: codon-amino acid affinities increase from early to late RNA rings

Nucleotide affinities for noncovalent interactions with amino acids produce associations between mRNAs and cognate peptides, potentially regulating ribosomal translation. Correlations between nucleotide affinities and residue hydrophobicity are explored for 25 theoretical minimal RNA rings, 22 nucleotide-long RNAs designed in silico to code for each amino acid once after three translation rounds, and forming stem-loop hairpins. This design presumably mimicks life's first RNAs. RNA rings resemble consensual tRNAs, suggesting proto-tRNA function, predicted anticodon and cognate amino acid. The 25 RNA rings and their presumed evolutionary order, deduced from the genetic code integration order of the amino acid cognate to their predicted anticodon, produces noteworthy associations with several ancient properties of the cell's translational machinery. Here we use this system to explore the evolution of codon affinity-residue hydrophobicity correlations, assuming these reflect pre-tRNA and pre-ribosomal translations. This hypothesis expects that correlations decrease with genetic code inclusion orders of RNA ring cognates. RNA ring associations between nucleotide affinities and residue hydrophobicities resemble those from modern natural genes/proteins. Association strengths decrease with genetic code inclusion ranks of proto-tRNA cognate amino acids. In silico design of minimal RNA rings didn't account for affinities between RNA and peptides coded by these RNAs. Yet, interactions between RNA rings and translated cognate peptides resemble modern natural genes. This property is strongest for ancient RNA rings, weakest for recent RNA rings, spanning a period during which modern tRNA- and ribosome-based translation presumably evolved. Results indicate that translation lacking tRNA-like adaptors based on codon-amino acid affinities and the genetic code pre-existed tRNA-mediated translation. Theoretical minimal RNA rings appear valid prebiotic peptide-RNA world models for the transition between pre-tRNA- and tRNA-mediated translations.

Comparisons between small ribosomal RNA and theoretical minimal RNA ring secondary structures confirm phylogenetic and structural accretion histories

Ribosomal RNAs are complex structures that presumably evolved by tRNA accretions. Statistical properties of tRNA secondary structures correlate with genetic code integration orders of their cognate amino acids. Ribosomal RNA secondary structures resemble those of tRNAs with recent cognates. Hence, rRNAs presumably evolved from ancestral tRNAs. Here, analyses compare secondary structure subcomponents of small ribosomal RNA subunits with secondary structures of theoretical minimal RNA rings, presumed proto-tRNAs. Two independent methods determined different accretion orders of rRNA structural subelements: (a) classical comparative homology and phylogenetic reconstruction, and (b) a structural hypothesis assuming an inverted onion ring growth where the three-dimensional ribosome's core is most ancient and peripheral elements most recent. Comparisons between (a) and (b) accretions orders with RNA ring secondary structure scales show that recent rRNA subelements are: 1. more like RNA rings with recent cognates, indicating ongoing coevolution between tRNA and rRNA secondary structures; 2. less similar to theoretical minimal RNA rings with ancient cognates. Our method fits (a) and (b) in all examined organisms, more with (a) than (b). Results stress the need to integrate independent methods. Theoretical minimal RNA rings are potential evolutionary references for any sequence-based evolutionary analyses, independent of the focal data from that study.

First arrived, first served: competition between codons for codon-amino acid stereochemical interactions determined early genetic code assignments

Stereochemical nucleotide-amino acid interactions, in the form of noncovalent nucleotide-amino acid interactions, potentially produced the genetic code's codon-amino acid assignments. Empirical estimates of single nucleotide-amino acid affinities on surfaces and in solution are used to test whether trinucleotide-amino acid affinities determined genetic code assignments pending the principle "first arrived, first served": presumed early amino acids have greater codon-amino acid affinities than ulterior ones. Here, these single nucleotide affinities are used to approximate all 64 × 20 trinucleotide-amino acid affinities. Analyses show that (1) on surfaces, genetic code codon-amino acid assignments tend to match high affinities for the amino acids that integrated earliest the genetic code (according to Wong's metabolic coevolution hypothesis between nucleotides and amino acids) and (2) in solution, the same principle holds for the anticodon-amino acid assignments. Affinity analyses match best genetic code assignments when assuming that trinucleotides competed for amino acids, rather than amino acids for trinucleotides. Codon-amino acid affinities stick better to genetic code assignments than anticodon-amino acid affinities. Presumably, two independent coding systems, on surfaces and in solution, converged, and formed the current translation system. Proto-translation on surfaces by direct codon-amino acid interactions without tRNA-like adaptors coadapted with a system emerging in solution by proto-tRNA anticodon-amino acid interactions. These systems assigned identical or similar cognates to codons on surfaces and to anticodons in solution. Results indicate that a prebiotic metabolism predated genetic code self-organization.

Footprints of a Singular 22-Nucleotide RNA Ring at the Origin of Life

(1) Background: Previous experimental observations and theoretical hypotheses have been providing insight into a hypothetical world where an RNA hairpin or ring may have debuted as the primary informational and functional molecule. We propose a model revisiting the architecture of RNA-peptide interactions at the origin of life through the evolutionary dynamics of RNA populations. (2) Methods: By performing a step-by-step computation of the smallest possible hairpin/ring RNA sequences compatible with building up a variety of peptides of the primitive network, we inferred the sequence of a singular docosameric RNA molecule, we call the ALPHA sequence. Then, we searched for any relics of the peptides made from ALPHA in sequences deposited in the different public databases. (3) Results: Sequence matching between ALPHA and sequences from organisms among the earliest forms of life on Earth were found at high statistical relevance. We hypothesize that the frequency of appearance of relics from ALPHA sequence in present genomes has a functional necessity. (4) Conclusions: Given the fitness of ALPHA as a supportive sequence of the framework of all existing theories, and the evolution of Archaea and giant viruses, it is anticipated that the unique properties of this singular archetypal ALPHA sequence should prove useful as a model matrix for future applications, ranging from synthetic biology to DNA computing.

Why Is AUG the Start Codon?: Theoretical Minimal RNA Rings: Maximizing Coded Information Biases 1st Codon for the Universal Initiation Codon AUG

The rational design of theoretical minimal RNA rings predetermines AUG as the universal start codon. This design maximizes coded amino acid diversity over minimal sequence length, defining in silico theoretical minimal RNA rings, candidate ancestral genes. RNA rings code for 21 amino acids and a stop codon after three consecutive translation rounds, and form a degradation-delaying stem-loop hairpin. Twenty-five RNA rings match these constraints, ten start with the universal initiation codon AUG. No first codon bias exists among remaining RNA rings. RNA ring design predetermines AUG as initiation codon. This is the only explanation yet for AUG as start codon. RNA ring design determines additional RNA ring gene- and tRNA-like properties described previously, because it presumably mimics constraints on life's primordial RNAs.

Deamination gradients within codons after 1<->2 position swap predict amino acid hydrophobicity and parallel β-sheet conformational preference

Deaminations C->T and A->G are frequent mutations producing nucleotide content gradients across genomes proportional to singlestrandedness during replication/transcription. Hence, within single codons, deamination risks increase from first to third codon positions, while second codon positions are functionally most crucial. Here genetic codes are analyzed assuming that after anticodons protected codons from deaminations, first and second codon positions swapped (N2N1N3->N1N2N3), with lowest deamination risks for N2 in presumed primitive N2N1N3 codons. N2N1N3, not standard N1N2N3, codon structure minimizes deaminations inversely proportionally to cognate amino acid hydrophobicity and parallel betasheet conformational preference. For N1N2N3, deamination minimization increases with genetic code integration order of cognate amino acids: during the presumed N2N1N3->N1N2N3 codon structure transition, protein synthesis combined direct codon-amino acid interactions for late amino acids and tRNA-based translation for early amino acids. Hence N2N1N3 codons would correspond to tRNA-free translation by spontaneous codon-amino acid affinities, and tRNA-mediated translation presumably caused N2N1N3->N1N2N3 swaps. Results show that rational, not arbitrary rules link codon and amino acid structures. Some analyses detect mitochondrial RNAs and peptides in public data corresponding to systematic position swaps, suggesting occasional swapping polymerase activity.

RNA Rings Strengthen Hairpin Accretion Hypotheses for tRNA Evolution: A Reply to Commentaries by Z.F. Burton and M. Di Giulio

Theoretical minimal RNA ring design ensures coding over the shortest length once for each coding signal (start and stop codons, and each amino acid) and their hairpin configuration. These constraints define 25 RNA rings which surprisingly resemble ancestral tRNA loops, suggesting commonalities between RNA ring design and proto-tRNAs. RNA rings share several other properties with tRNAs, suggesting that primordial RNAs were multifunctional peptide coding sequences and structural RNAs. Two hypotheses, respectively, by M. Di Giulio and Z.F. Burton, derived from cloverleaf structural symmetries suggest that two and three, respectively, stem-loop hairpins agglutinated into tRNAs. Their authors commented that their respective structure-based hypotheses reflect better tRNA structure than RNA rings. Unlike these hypotheses, RNA ring design uses no tRNA-derived information, rendering model predictive power comparisons senseless. Some analyses of RNA ring primary and secondary structures stress RNA ring splicing in their predicted anticodon's midst, indicating ancestrality of split tRNAs, as the two-piece model predicts. Advancement of knowledge, rather than of specific hypotheses, gains foremost by examining independent hypotheses for commonalities, and only secondarily for discordances. RNA rings mimick ancestral biomolecules including tRNAs, and their evolution, and constitute an interesting synthetic system for early prebiotic evolution tests/simulations.

The 3-Minihelix tRNA Evolution Theorem

Transfer RNA (tRNA) is the central intellectual property in the evolution of life on Earth. tRNA evolved from repeats and inverted repeats of known sequence. The anticodon and the T stem-loop-stems are homologs with significant conserved sequence identity. A number of models have been advanced to explain tRNA evolution. No 2-minihelix model or accretion model (built a stem at a time) can be correct, in part because of anticodon and T stem-loop-stem identity. Only a 3-minihelix model is adequate.

Accretion history of large ribosomal subunits deduced from theoretical minimal RNA rings is congruent with histories derived from phylogenetic and structural methods

Accretions of tRNAs presumably formed the large complex ribosomal RNA structures. Similarities of tRNA secondary structures with rRNA secondary structures increase with the integration order of their cognate amino acid in the genetic code, indicating tRNA evolution towards rRNA-like structures. Here analyses rank secondary structure subelements of three large ribosomal RNAs (Prokaryota: Archaea: Thermus thermophilus; Bacteria: Escherichia coli; Eukaryota: Saccharomyces cerevisiae) in relation to their similarities with secondary structures formed by presumed proto-tRNAs, represented by 25 theoretical minimal RNA rings. These ranks are compared to those derived from two independent methods (ranks provide a relative evolutionary age to the rRNA substructure), (a) cladistic phylogenetic analyses and (b) 3D-crystallography where core subelements are presumed ancient and peripheral ones recent. Comparisons of rRNA secondary structure subelements with RNA ring secondary structures show congruence between ranks deduced by this method and both (a) and (b) (more with (a) than (b)), especially for RNA rings with predicted ancient cognate amino acid. Reconstruction of accretion histories of large rRNAs will gain from adequately integrating information from independent methods. Theoretical minimal RNA rings, sequences deterministically designed in silico according to specific coding constraints, might produce adequate scales for prebiotic and early life molecular evolution.

The primordial tRNA acceptor stem code from theoretical minimal RNA ring clusters

BACKGROUND

Theoretical minimal RNA rings code by design over the shortest length once for each of the 20 amino acids, a start and a stop codon, and form stem-loop hairpins. This defines at most 25 RNA rings of 22 nucleotides. As a group, RNA rings mimick numerous prebiotic and early life biomolecular properties: tRNAs, deamination gradients and replication origins, emergence of codon preferences for the natural circular code, and contents of early protein coding genes. These properties result from the RNA ring's in silico design, based mainly on coding nonredundancy among overlapping translation frames, as the genetic code's codon-amino acid assignments determine. RNA rings resemble ancestral tRNAs, defining RNA ring anticodons and corresponding cognate amino acids. Surprisingly, all examined RNA ring properties coevolve with genetic code integration ranks of RNA ring cognates, as if RNA rings mimick prebiotic and early life evolution.

METHODS

Distances between RNA rings were calculated using different evolutionary models. Associations between these distances and genetic code evolutionary hypotheses detect evolutionary models best describing RNA ring diversification.

RESULTS

Here pseudo-phylogenetic analyses of RNA rings produce clusters corresponding to the primordial code in tRNA acceptor stems, more so when substitution matrices from neutrally evolving pseudogenes are used rather than from functional protein coding genes reflecting selection for conserving amino acid properties.

CONCLUSIONS

Results indicate RNA rings with recent cognates evolved from those with early cognates. Hence RNA rings, as designed by the genetic code's structure, simulate tRNA stem evolution and prebiotic history along neutral chemistry-driven mutation regimes.

Codon Directional Asymmetry Suggests Swapped Prebiotic 1st and 2nd Codon Positions

Background: Codon directional asymmetry (CDA) classifies the 64 codons into palindromes (XYX, CDA = 0), and 5'- and 3'-dominant (YXX and XXY, CDA < 0 and CDA > 0, respectively). Previously, CDA was defined by the purine/pyrimidine divide (A,G/C,T), where X is either a purine or a pyrimidine. For the remaining codons with undefined CDA, CDA was defined by the 5' or 3' nucleotide complementary to Y. This CDA correlates with cognate amino acid tRNA synthetase classes, antiparallel beta sheet conformation index and the evolutionary order defined by the self-referential genetic code evolution model (CDA < 0: class I, high beta sheet index, late genetic code inclusion). Methods: We explore associations of CDAs defined by nucleotide classifications according to complementarity strengths (A:T, weak; C:G, strong) and keto-enol/amino-imino groupings (G,T/A,C), also after swapping 1st and 2nd codon positions with amino acid physicochemical and structural properties. Results: Here, analyses show that for the eight codons whose purine/pyrimidine-based CDA requires using the rule of complementarity with the midposition, using weak interactions to define CDA instead of complementarity increases associations with tRNA synthetase classes, antiparallel beta sheet index and genetic code evolutionary order. CDA defined by keto-enol/amino-imino groups, 1st and 2nd codon positions swapped, correlates with amino acid parallel beta sheet formation indices and Doolittle's hydropathicities. Conclusions: Results suggest (a) prebiotic swaps from N2N1N3 to N1N2N3 codon structures, (b) that tRNA-mediated translation replaced direct codon-amino acid interactions, and (c) links between codon structures and cognate amino acid properties.

The Uroboros Theory of Life's Origin: 22-Nucleotide Theoretical Minimal RNA Rings Reflect Evolution of Genetic Code and tRNA-rRNA Translation Machineries

Theoretical minimal RNA rings attempt to mimick life's primitive RNAs. At most 25 22-nucleotide-long RNA rings code once for each biotic amino acid, a start and a stop codon and form a stem-loop hairpin, resembling consensus tRNAs. We calculated, for each RNA ring's 22 potential splicing positions, similarities of predicted secondary structures with tRNA vs. rRNA secondary structures. Assuming rRNAs partly derived from tRNA accretions, we predict positive associations between relative secondary structure similarities with rRNAs over tRNAs and genetic code integration orders of RNA ring anticodon cognate amino acids. Analyses consider for each secondary structure all nucleotide triplets as potential anticodon. Anticodons for ancient, chemically inert cognate amino acids are most frequent in the 25 RNA rings. For RNA rings with primordial cognate amino acids according to tRNA-homology-derived anticodons, tRNA-homology and coding sequences coincide, these are separate for predicted cognate amino acids that presumably integrated late the genetic code. RNA ring secondary structure similarity with rRNA over tRNA secondary structures associates best with genetic code integration orders of anticodon cognate amino acids when assuming split anticodons (one and two nucleotides at the spliced RNA ring 5' and 3' extremities, respectively), and at predicted anticodon location in the spliced RNA ring's midst. Results confirm RNA ring homologies with tRNAs and CDs, ancestral status of tRNA half genes split at anticodons, the tRNA-rRNA axis of RNA evolution, and that single theoretical minimal RNA rings potentially produce near-complete proto-tRNA sets. Hence genetic code pre-existence determines 25 short circular gene- and tRNA-like RNAs. Accounting for each potential splicing position, each RNA ring potentially translates most amino acids, realistically mimicks evolution of the tRNA-rRNA translation machinery. These RNA rings 'of creation' remind the uroboros' (snake biting its tail) symbolism for creative regeneration.