Genome packaging within icosahedral capsids and large-scale segmentation in viral genomic sequences

The assembly and maturation of viruses with icosahedral capsids must be coordinated with icosahedral symmetry. The icosahedral symmetry imposes also the restrictions on the cooperative specific interactions between genomic RNA/DNA and coat proteins that should be reflected in quasi-regular segmentation of viral genomic sequences. Combining discrete direct and double Fourier transforms, we studied the quasi-regular large-scale segmentation in genomic sequences of different ssRNA, ssDNA, and dsDNA viruses. The particular representatives included satellite tobacco mosaic virus (STMV) and the strains of satellite tobacco necrosis virus (STNV), STNV-C, STNV-1, STNV-2, Escherichia phages MS2, ϕX174, α3, and HK97, and Simian virus 40. In all their genomes, we found the significant quasi-regular segmentation of genomic sequences related to the virion assembly and the genome packaging within icosahedral capsid. We also found good correspondence between our results and available cryo-electron microscopy data on capsid structures and genome packaging in these viruses. Fourier analysis of genomic sequences provides the additional insight into mechanisms of hierarchical genome packaging and may be used for verification of the concepts of 3-fold or 5-fold intermediates in virion assembly. The results of sequence analysis should be taken into account at the choice of models and data interpretation. They also may be helpful for the development of antiviral drugs.

Low Altitude Solar Magnetic Reconnection, Type III Solar Radio Bursts, and X-ray Emissions

Type III solar radio bursts are the Sun's most intense and frequent nonthermal radio emissions. They involve two critical problems in astrophysics, plasma physics, and space physics: how collective processes produce nonthermal radiation and how magnetic reconnection occurs and changes magnetic energy into kinetic energy. Here magnetic reconnection events are identified definitively in Solar Dynamics Observatory UV-EUV data, with strong upward and downward pairs of jets, current sheets, and cusp-like geometries on top of time-varying magnetic loops, and strong outflows along pairs of open magnetic field lines. Type III bursts imaged by the Murchison Widefield Array and detected by the Learmonth radiospectrograph and STEREO B spacecraft are demonstrated to be in very good temporal and spatial coincidence with specific reconnection events and with bursts of X-rays detected by the RHESSI spacecraft. The reconnection sites are low, near heights of 5-10 Mm. These images and event timings provide the long-desired direct evidence that semi-relativistic electrons energized in magnetic reconnection regions produce type III radio bursts. Not all the observed reconnection events produce X-ray events or coronal or interplanetary type III bursts; thus different special conditions exist for electrons leaving reconnection regions to produce observable radio, EUV, UV, and X-ray bursts.

Large-scale chromosome folding versus genomic DNA sequences: A discrete double Fourier transform technique

Using state-of-the-art techniques combining imaging methods and high-throughput genomic mapping tools leaded to the significant progress in detailing chromosome architecture of various organisms. However, a gap still remains between the rapidly growing structural data on the chromosome folding and the large-scale genome organization. Could a part of information on the chromosome folding be obtained directly from underlying genomic DNA sequences abundantly stored in the databanks? To answer this question, we developed an original discrete double Fourier transform (DDFT). DDFT serves for the detection of large-scale genome regularities associated with domains/units at the different levels of hierarchical chromosome folding. The method is versatile and can be applied to both genomic DNA sequences and corresponding physico-chemical parameters such as base-pairing free energy. The latter characteristic is closely related to the replication and transcription and can also be used for the assessment of temperature or supercoiling effects on the chromosome folding. We tested the method on the genome of E. coli K-12 and found good correspondence with the annotated domains/units established experimentally. As a brief illustration of further abilities of DDFT, the study of large-scale genome organization for bacteriophage PHIX174 and bacterium Caulobacter crescentus was also added. The combined experimental, modeling, and bioinformatic DDFT analysis should yield more complete knowledge on the chromosome architecture and genome organization.

Anticodons, frameshifts, and hidden periodicities in tRNA sequences

Fourier analysis of the short-range periodicities for the complete set of sequences coding for tRNA genes in genome of Bacillus subtilis proves that periodicities with periods p = 2, 3, 4, and 6 sites are the inherent properties of tRNAs. The related periodicities should be understood in a broad statistical sense and their identifying needs the elaborate statistical methods. To improve the statistics, the analysis of significant periodicities was performed for the binary R-Y, S-W, and K-M sequences. Generally, such short-range periodicities are produced via biased positioning of particular nucleotides rather than via the tandem multiplication and subsequent modifications of repeats, though the latter mechanism may also be realized. Quasi-coherently piercing long segments of tRNA, the short-range periodicities create the effective long-range structural coupling between the acceptor stem and the anticodon loop and may participate in the mechanisms of molecular recognition. The periodicities with p = 2 and 4 provide the natural ground for the translation with spontaneous or programmed frameshifting and are present in tRNAs decoding the most frameshift-prone codons. The observation of short-range periodicities suggests that the mechanisms of amino-acylation of tRNAs and codon-anticodon pairing are not independent. Their study may also provide the important information related to the origin and evolution of the genetic code.

DNA polymorphism in the beta-Esterase gene cluster of Drosophila melanogaster

We have analyzed nucleotide polymorphism within a 5.3-kb region encompassing the functional Est-6 gene and the psiEst-6 putative pseudogene in 28 strains of Drosophila melanogaster and one of D. simulans. Two divergent sequence types were detected, which are not perfectly associated with Est-6 allozyme variation. The level of variation (pi) is very close in the 5'-flanking region (0.0059) and Est-6 gene (0.0057), but significantly higher in the intergenic region (0.0141) and putative pseudogene (0.0122). The variation in the 3'-flanking region is intermediate (0.0083). These observations may reflect different levels of purifying selection in the different regions. Strong linkage disequilibrium occurs within the region studied, with the largest values revealed in the putative pseudogene and 3'-flanking region. Moreover, recombination is restricted within psiEst-6. Gene conversion is detected both within and (to a lesser extent) between Est-6 and psiEst-6. The data indicate that psiEst-6 exhibits some characteristics that are typical of nonfunctional genes, while other characteristics are typically attributed to functional genes; the same situation has been observed in other pseudogenes (including Drosophila). The results of structural entropy analysis demonstrate higher structural ordering in Est-6 than in psiEst-6, in accordance with expectations if psiEst-6 is indeed a pseudogene. Taking into account that the function of psiEst-6 is not known (but could exist) and following the terminology of J. Brosius and S. J. Gould, we suggest that the term "potogene" may be appropriate for psiEst-6, indicating that it is a potential gene that may have acquired some distinctive but unknown function.

Characterization and comparison of protein structures. Part II-comparison

The Fourier methods are applied to the pairwise comparison of Calpha-backbones in protein structures. The technique allows to assess both the general similarity and the main origins of resemblance (coincident periodicities, similarity of fragments, or large-scale semblance of folding). The analogous methods can be extended to the study of correlations between the structural characteristics for the Calpha-backbone of one protein and the distribution of physico-chemical parameters along the primary amino acid sequence for the other. Finally, we discuss the problem of clusterization of pairwise data into tree-like hierarchical system.

Characterization and comparison of protein structures. Part I-characterization

The quantitative criteria characterizing the regularity of Calpha-backbones in the protein structures are presented. A technique is based on the Fourier remapping of the Cartesian coordinates for the Calpha-chain. The Fourier spectra identify the hidden periodicities and symmetries in protein structures, while the integral regularity is assessed via the spectral structural entropies. The formal unification of digitizing and the similarities in statistics for the random counterparts allow study of the direct correlations between the distribution of physico-chemical characteristics along the amino acid sequence and the spatial conformation of the polypeptide chain. The significant correlations are found for both hydrophobicity and side-chain volumes, though, as expected, the effects for hydrophobicity turn out essentially stronger. A scheme is illustrated by the set of 120 protein structures comprising the representatives from the main superfamilies and superfolds.

Nucleosome units and hidden periodicities in DNA sequences

The relationship between the hidden periodicities in DNA sequences and the nucleosome units is investigated. It is shown that in the vicinity of lengths of about 200 bases there are statistically significant periodicities which remain approximately universal for exon-intron sequences both in the different genes and the different eukaryotic species. The additional analysis displays, nevertheless, that these approximately coincident universal periodicities can be generated by a variety of mechanisms. The relevance of the features observed to the structure of chromatin is discussed.

Study of correlations in segmented DNA sequences: application to structure coupling between exons and introns

A technique for the study of correlations in segmented DNA sequences is developed. Within this approach the effects of compositional patchiness are separated from the beginning, allowing us to display the refined effects of structural coupling between different segments. The mutual analysis of Fourier structure spectra and pair correlation functions identifies both the main ranges (long, short, or intermediate) and the sources (coincident periodicities, large scale density variations, short-memory coupling, or coherent point mutations) of correlations. A scheme is applied to the study of structural coupling between exons and introns in fragmented genes of eukaryotes. The molecular, genetic, and evolutionary aspects of the features observed are discussed.