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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., (Copyright © 2017 Elsevier Ltd. All rights reserved.)

The standard genetic code is known to be much more efficient in minimizing adverse effects of misreading errors and one-point mutations in comparison with a random code having the same structure, i.e. the same number of codons coding for each particular amino acid. We study the inverse problem, how the code structure affects the optimal physico-chemical parameters of amino acids ensuring the highest stability of the genetic code. It is shown that the choice of two or more amino acids with given properties determines unambiguously all the others. In this sense the code structure determines strictly the optimal parameters of amino acids or the corresponding scales may be derived directly from the genetic code. In the code with the structure of the standard genetic code the resulting values for hydrophobicity obtained in the scheme "leave one out" and in the scheme with fixed maximum and minimum parameters correlate significantly with the natural scale. The comparison of the optimal and natural parameters allows assessing relative impact of physico-chemical and error-minimization factors during evolution of the genetic code. As the resulting optimal scale depends on the choice of amino acids with given parameters, the technique can also be applied to testing various scenarios of the code evolution with increasing number of codified amino acids. Our results indicate the co-evolution of the genetic code and physico-chemical properties of recruited amino acids., (Copyright © 2010 Elsevier Ltd. All rights reserved.)

The standard genetic code is known to be robust to translation errors and point mutations. We studied how small modifications of the standard code affect its robustness. The robustness was assessed in terms of a proper stability function, the negative variations of which correspond to a more robust code. The fraction of more robust codes obtained under small modifications appeared to be unexpectedly high, about 0.1-0.4 depending on the choice of stability function and code modifications, yet significantly lower than the corresponding fraction in the random codes (about a half). In this sense the standard code ought to be considered distinctly non-random in accordance with previous observations. The distribution of the negative variations of stability function revealed very abrupt drop beyond one standard deviation, much sharper than for Gaussian distribution or for the random codes with the same number of codons in the sets coding for amino acids or stop-codons. This behavior holds for both the standard code as a whole and its binary NRN-NYN, NWN-NSN, and NMN-NKN blocks. Previously, it has been proved that such binary block structure is necessary for the robustness of a code and is inherent to the standard genetic code. The modifications of the standard code corresponding to more robust coding may be related to the different variants of the code. These effects may also contribute to the rates of replacements of amino acids. The observed features demonstrate the joint impact of random factors and natural selection during evolution of the genetic code.

Protein microchips are designed for high-throughput evaluation of the concentrations and activities of various proteins. The rapid advance in microchip technology and a wide variety of existing techniques pose the problem of unified approach to the assessment and comparison of different platforms. Here we compare the characteristics of protein microchips developed for quantitative immunoassay with those of antibodies immobilized on glass surfaces and in hemispherical gel pads. Spotting concentrations of antibodies used for manufacturing of microchips of both types and concentrations of antigen in analyte solution were identical. We compared the efficiency of antibody immobilization, the intensity of fluorescence signals for both direct and sandwich-type immunoassays, and the reaction-diffusion kinetics of the formation of antibody-antigen complexes for surface and gel-based microchips. Our results demonstrate higher capacity and sensitivity for the hydrogel-based protein microchips, while fluorescence saturation kinetics for the two types of microarrays was comparable.

The possible codon-anticodon pairings follow the standard genetic code, yet in a different mode. The corresponding rules for decoding sequence of the codons in mRNA with tRNA may be called "tRNA code". In this paper we analyse the mutational and translational stability of such tRNA code. Our approach is based on the model of "ambiguous intermediate" and on the study of underlying block structure and Eulerean graph technique. It is shown that the wobble rules and the reduced number of tRNA anticodons strongly affect the mutational and translational stability of the code. The selection of tRNA anticodons, besides the optimization of translation, also ensures the more reliable start and, to a lesser extent, the stop of translation. The attribution of tRNA anticodons to the groups [WWW, WWS, SWW, SWS] and [SSS, SSW, WSS, WSW] as well as [MMM, MMK, KMM, KMK] and [KKK, KKM, MKK, MKM] clearly correlates with class I and class II aminoacyl-tRNA synthetases and obeys the principle of the optimal coding in both cases. Both W-S and M-K groupings also refer to the encoding of amino acids with the large and small side-chain volumes, which may provide such an attribution. The higher variability of tRNA code agrees with the suggestions that the variations in an assignment of tRNA anticodons may serve as the driving force generating the different variants 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.

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., (Copyright 1999 Academic Press.)

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., (Copyright 1999 Academic Press.)

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., (Copyright 1998 Academic Press Limited.)

We present a method for unified statistical analysis of short and long range correlations between various nucleotides in genomic DNA strands. The approach is based on the mutual study of Fourier structure factor spectra and pair correlation functions. The analysis of cross correlations in the different ranges of structural spectra permits identification of the main sources of correlations, namely, the coherent point mutations, coincident periodicities or large scale density variations. The technique for assessment of structural coupling between various genes in the genome is also described.

The hidden periodicities in various genomes can be identified via a Fourier transform of genomic DNA sequences. The typical search strategies are described and the corresponding statistical criteria are presented. The methods are applied to the structural analysis of genome for bacteriophage PHIX174. The results indicate the important role of the coherent structural modifications along the several main periods in the formation of the genome. Some possible mechanisms for the features observed are discussed.