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Dive into the research topics where Zakharia M. Frenkel is active.

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Featured researches published by Zakharia M. Frenkel.


Journal of Biomolecular Structure & Dynamics | 2011

Nucleosome positioning pattern derived from oligonucleotide compositions of genomic sequences.

Alexandra E. Rapoport; Zakharia M. Frenkel; Edward N. Trifonov

Abstract Availability of nucleosome positioning pattern(s) is crucial for chromatin studies. The matrix form of the pattern has been recently derived (I. Gabdank, D. Barash, E. N. Trifonov. J Biomol Struct Dyn 26, 403–412 (2009), and E. N. Trifonov. J Biomol Struct Dyn 27, 741746 (2010)). In its simplified linear form it is described by the motif CGRAAATTTYCG. Oligonucleotide components of the motif (say, triplets GRA, RAA, AAA, etc.) would be expected to appear in eukaryotic sequences more frequently. In this work we attempted the reconstruction of the bendability patterns for 13 genomes by a novel approach-extension of highest frequency trinucleotides. The consensus of the patterns reconstructed on the basis of trinucleotide frequencies in 13 eukaryotic genomes is derived: CRAAAATTTTYG. It conforms to the earlier established sequence motif. The reconstruction, thus, attests to the universality of the nucleosome DNA bendability pattern.


Current Opinion in Structural Biology | 2009

Evolution of protein modularity

Edward N. Trifonov; Zakharia M. Frenkel

Proteins in their evolution appear to follow several discrete stages, which is reflected in their modular organization. The sequences of the protein modules are highly variable while their functions and structures are rather conserved. The relatedness of the variable sequences is well represented by the networks in natural protein sequence space that also suggests evolutionary connections.


BMC Genomics | 2011

Nucleosome DNA sequence structure of isochores

Zakharia M. Frenkel; Thomas Bettecken; Eduard Nikolajevič Trifonov

BackgroundSignificant differences in G+C content between different isochore types suggest that the nucleosome positioning patterns in DNA of the isochores should be different as well.ResultsExtraction of the patterns from the isochore DNA sequences by Shannon N-gram extension reveals that while the general motif YRRRRRYYYYYR is characteristic for all isochore types, the dominant positioning patterns of the isochores vary between TAAAAATTTTTA and CGGGGGCCCCCG due to the large differences in G+C composition. This is observed in human, mouse and chicken isochores, demonstrating that the variations of the positioning patterns are largely G+C dependent rather than species-specific. The species-specificity of nucleosome positioning patterns is revealed by dinucleotide periodicity analyses in isochore sequences. While human sequences are showing CG periodicity, chicken isochores display AG (CT) periodicity. Mouse isochores show very weak CG periodicity only.ConclusionsNucleosome positioning pattern as revealed by Shannon N-gram extension is strongly dependent on G+C content and different in different isochores. Species-specificity of the pattern is subtle. It is reflected in the choice of preferentially periodical dinucleotides.


Journal of Biomolecular Structure & Dynamics | 2012

Origin and evolution of genes and genomes. Crucial role of triplet expansions

Zakharia M. Frenkel; Edward N. Trifonov

A novel concept on mechanisms of evolution of genes and genomes is suggested: the sequences evolve largely by local events of triplet expansion and subsequent mutational changes in the repeats. The immediate memory about the earlier expansion events still resides in the sequences, in form of the frequently occurring segments of tandemly repeating codons. Other predicted fossils of the original repeats are: (I) the expanding triplets should be accompanied by their point mutation derivatives and (II) the remaining excess of codons formerly belonging to the tandem repeats should be reflected in overall codon usage biases. Both predictions are confirmed by analysis of largest available database of non-redundant protein coding sequences, of total size ∼5 × 109 codons. One important conclusion also follows from the results. Life which, presumably, started with replication of expanding triplets and their subsequent mutational changes, is continuing to emerge within the genes and genomes, in form of new events of triplet expansion.


Proteins | 2007

Walking through the protein sequence space: Towards new generation of the homology modeling

Zakharia M. Frenkel; Edward N. Trifonov

A new method is proposed to reveal apparent evolutionary relationships between protein fragments with similar 3D structures by finding “intermediate” sequences in the proteomic database. Instead of looking for homologies and intermediates for a whole protein domain, we build a chain of intermediate short sequences, which allows one to link similar structural modules of proteins belonging to the same or different families. Several such chains of intermediates can be combined into an evolutionary tree of structural protein modules. All calculations were made for protein fragments of 20 aa residues. Three evolutionary trees for different module structures are described. The aim of the paper is to introduce the new method and to demonstrate its potential for protein structural predictions. The approach also opens new perspectives for protein evolution studies. Proteins 2007.


Journal of Molecular Evolution | 2007

Combinations of Ancestral Modules in Proteins

Yehoshua Sobolevsky; Zakharia M. Frenkel; Edward N. Trifonov

Twenty-seven protein sequence elements, six to nine amino acids long, were extracted from 15 phylogenetically diverse complete prokaryotic proteomes. The elements are present in all of these proteomes, with at least one copy each (omnipresent elements), and have presumably been conserved since the last universal common ancestor (LUCA). All these omnipresent elements are identified in crystallized protein structures as parts of highly conserved closed loops, 25–30 residues long, thus representing the closed-loop modules discovered in 2000 by Berezovsky et al. The omnipresent peptides make up seven distinct groups, of which the largest groups, Aleph and Beth, contain 18 and four elements, respectively, which are related but different, while five other groups are represented by only one element each. The LUCA modules appear with one or several copies per protein molecule in a variety of combinations depending on the functional identity of the corresponding protein. The functional involvement of individual LUCA modules is outlined on the basis of known protein annotations. Analyses of all the related sequences in a large, formatted protein sequence space suggest that many, if not all, of the 27 omnipresent elements have a common sequence origin. This sequence space network analysis may lead to elucidation of the earliest stages of protein evolution.


Journal of Biomolecular Structure & Dynamics | 2011

Nucleosome Positioning Patterns Derived from Human Apoptotic Nucleosomes

Zakharia M. Frenkel; Eduard Nikolajevič Trifonov; Zeev Volkovich; Thomas Bettecken

Abstract This communication reports on the nucleosome positioning patterns (bendability matrices) for the human genome, derived from over 8 million nucleosome DNA sequences obtained from apoptotically digested lymphocytes. This digestion procedure is used here for the first time for the purpose of extraction and sequencing of the nucleosome DNA fragments. The dominant motifs suggested by the matrices of DNA bendability calculated for light and heavy isochores are significantly different. Both, however, are in full agreement with the linear description YRRRRRYYYYYR, and with earlier derivations by N-gram extensions. Thus, the choice of the nucleosome positioning patterns crucially depends on the G + C composition of the analyzed sequences.


Journal of Biomolecular Structure & Dynamics | 2012

Apoptotic cleavage of DNA in human lymphocyte chromatin shows high sequence specificity

Thomas Bettecken; Zakharia M. Frenkel; Janine Altmüller; Peter Nürnberg; Edward N. Trifonov

Apoptotic digestion of human lymphocyte chromatin results in the appearance of large amounts of nucleosome size DNA fragments. Sequencing of these fragments and analysis of the distribution of bases around the apoptotic nucleases’ cutting sites revealed a rather strong consensus sequence, not observed earlier. The consensus TAAAgTAcTTTA is characterized by complementary symmetry, resembling prokaryotic restriction sites. This consensus also possesses three TA dinucleotide steps, separated by five bases (corresponding to a half-period of the DNA double helix), suggesting strong bending of the DNA at the cut sites which is perhaps required for cutting.


Journal of Theoretical Biology | 2009

Structural relatedness via flow networks in protein sequence space

Zakharia M. Frenkel; Zeev Frenkel; Edward N. Trifonov; Sagi Snir

A novel approach for evaluation of sequence relatedness via a network over the sequence space is presented. This relatedness is quantified by graph theoretical techniques. The graph is perceived as a flow network, and flow algorithms are applied. The number of independent pathways between nodes in the network is shown to reflect structural similarity of corresponding protein fragments. These results provide an appropriate parameter for quantitative estimation of such relatedness, as well as reliability of the prediction. They also demonstrate a new potential for sequence analysis and comparison by means of the flow network in the sequence space.


Journal of Biomolecular Structure & Dynamics | 2008

Does protein relatedness require sequence matching? Alignment via networks in sequence space.

Zakharia M. Frenkel

Abstract To establish possible function of a newly discovered protein, alignment of its sequence with other known sequences is required. When the similarity is marginal, the function remains uncertain. A principally new approach is suggested: to use networks in the protein sequence space. The functionality of the protein is firmly established via networks forming chains of consecutive pair-wise matching fragments. The distant relatives are, thus, considered as relatives, though in some cases, there is even no sequence match between the ends of the chain, while the entire chain belongs to the same functional and structural network.

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Zeev Volkovich

ORT Braude College of Engineering

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