Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices

The quasispecies model introduced by Eigen in 1971 has close connections with the isometry group of the space of binary sequences relative to the Hamming distance metric. Generalizing this observation we introduce an abstract quasispecies model on a finite metric space X together with a group of isometries \(\Gamma \) acting transitively on X. We show that if the domain of the fitness function has a natural decomposition into the union of tG-orbits, G being a subgroup of \(\Gamma \), then the dominant eigenvalue of the evolutionary matrix satisfies an algebraic equation of degree at most \(t\cdot \mathrm{rk}_{\mathbf {Z}} R\), where R is the orbital ring that is defined in the text. The general theory is illustrated by three detailed examples. In the first two of them the space X is taken to be the metric space of vertices of a regular polytope with the natural “edge” metric, these are the cases of a regular m-gon and of a hyperoctahedron; the final example takes as X the quotient rings \(\mathbf {Z}/p^n\mathbf {Z}\) with p-adic metric.

     

Generation of the Y-chromosome linked red fluorescent protein transgenic mouse model and sexing at the preimplantation stage

In mammals, sexual fate is determined by the chromosomes of the male and female gametes during fertilization. Males (XY) or females (XX) are produced when a sperm containing a Y or X-chromosome respectively fertilizes an X-chromosome-containing unfertilized egg. However, sexing of preimplantation stage embryos cannot be conducted visually. To address this, transgenic male mouse models with the ubiquitously expressed green fluorescent protein (GFP) transgene on X- (X-GFP) or Y-chromosomes (Y-GFP) have been established. However, when crossed with wild-type females, sexing of the preimplantation stage embryos by observing the GFP signal is problematic in some cases due to X-inactivation, loss of Y-chromosome (LOY), or loss of transgene fluorescence. In this study, a mouse model with the ubiquitously expressed red fluorescent protein (RFP) transgene on the Y-chromosome was generated since RFP is easily distinguishable from GFP signals. Unfortunately, the ubiquitously expressed tdTomato RFP transgene on the Y-chromosome (Y-RFP) mouse showed the lethal phenotype after birth. No lethal phenotypes were observed when the mitochondrial locating signal N-terminal of tdTomato (mtRFP) was included in the transgene construct. Almost half of the collected fertilized eggs from Y-mtRFP male mice crossed with wild-type females had an RFP signal at the preimplantation stage (E1.5). Therefore, XY eggs were recognized as RFP-positive embryos at the preimplantation stage. Furthermore, 100% sexing was observed at the preimplantation stage using the X-linked GFP/Y-linked RFP male mouse. The established Y-mtRFP mouse models may be used to study sex chromosome related research.     

Two human valyl-tRNA synthetase-encoding cDNA sequences deposited in GenBank display extensive differences

Five blocks of significant differences exist between two published sequences of the cDNA encoding human valyl-tRNA synthetase (GenBank X59303 and M98326). By comparison with the partial sequence of rat valyl-tRNA synthetase (GenBank M98327) the correct sequence can be deduced for two such blocks. The possible origin of the diversity for the two sequences is discussed.     

Evolutionary history of the SARS-CoV-2 Gamma variant of concern (P.1): a perfect storm

Our goal was to describe in more detail the evolutionary history of Gamma and two derived lineages (P.1.1 and P.1.2), which are part of the arms race that SARS-CoV-2 wages with its host. A total of 4,977 sequences of the Gamma strain of SARS-CoV-2 from Brazil were analyzed. We detected 194 sites under positive selection in 12 genes/ORFs: Spike, N, M, E, ORF1a, ORF1b, ORF3, ORF6, ORF7a, ORF7b, ORF8, and ORF10. Some diagnostic sites for Gamma lacked a signature of positive selection in our study, but these were not fixed, apparently escaping the action of purifying selection. Our network analyses revealed branches leading to expanding haplotypes with sites under selection only detected when P.1.1 and P.1.2 were considered. The P.1.2 exclusive haplotype H_5 originated from a non-synonymous mutational step (H3509Y) in H_1 of ORF1a. The selected allele, 3509Y, represents an adaptive novelty involving ORF1a of P.1. Finally, we discuss how phenomena such as epistasis and antagonistic pleiotropy could limit the emergence of new alleles (and combinations thereof) in SARS-COV-2 lineages, maintaining infectivity in humans, while providing rapid response capabilities to face the arms race triggered by host immuneresponses.     

Large-scale determination of the methylation status of retrotransposons in different tissues using a methylation tags approach

A technique for simultaneous determination of the methylation status of numerous loci containing retroelements (REs) is reported. It is based on the observation that methylated and unmethylated areas in the genome are usually extended, and therefore the methylation of particular methyl-sensitive restriction endonuclease recognition sites might reflect the methylation status of DNA regions around them. The method includes dot-blot hybridization of repeat flanking sequences arrayed on a solid support with specifically amplified flanking regions of presumably unmethylated repeats. A multitude of flanking regions of REs adjacent to unmethylated restriction sites are amplified simultaneously, providing a complex hybridization probe. The technique thus allows the determination of the methylation status of restriction sites, which serve as tags of the methylation status of the surrounding regions. The validity of the technique was confirmed by various means, including bisulfite sequencing. The technique was successfully applied to the identification of methylation patterns of the regions surrounding 38 human-specific HERV-K(HML-2) long terminal repeats in cerebellum- and lymph node-derived genomic DNAs. The described technique can be readily adapted to the use of DNA microarray technology.     

Comparison of methods for the identification of coagulase-negative staphylococci

Coagulase-negative staphylococci (CNS) species identification is still difficult for most clinical laboratories. The scheme proposed by Kloos and Schleifer and modified by Bannerman is the reference method used for the identification of staphylococcal species and subspecies; however, this method is relatively laborious for routine use since it requires the utilization of a large number of biochemical tests. The objective of the present study was to compare four methods, i.e., the reference method, the API Staph system (bioMérieux) and two methods modified from the reference method in our laboratory (simplified method and disk method), in the identification of 100 CNS strains. Compared to the reference method, the simplified method and disk method correctly identified 100 and 99% of the CNS species, respectively, while this rate was 84% for the API Staph system. Inaccurate identification by the API Staph method was observed for Staphylococcus epidermidis (2.2%), S. hominis (25%), S. haemolyticus (37.5%), and S. warneri (47.1%). The simplified method using the simple identification scheme proposed in the present study was found to be efficient for all strains tested, with 100% sensitivity and specificity and proved to be available alternative for the identification of staphylococci, offering, higher reliability and lower cost than the currently available commercial systems. This method would be very useful in clinical microbiology laboratory, especially in places with limited resources.     

Social environment and morpho-physiological status of young males in the fall groups of great gerbil (Rhombomys opimus Licht). Effect of adults' presence

The dependence of stress and sex hormone levels, size of mid-ventral skin gland, and body mass of young males on the presence in social groups of adult gerbils (>1 year old) were studied during the fall of 1999 in the non-breeding high density population of the great gerbil (Rhombomys opimus Licht; Bukhara region, Uzbekistan). Contents of corticosterone and testosterone in fecal samples collected from young males in the field were analyzed by non-invasive radioimmunoassay. The fall gerbil groups with adults were of larger size than those without adults. The total number of individuals in a group is positively correlated with concentration of corticosterone in feces of young males. Presence of adult male and especially of adult female suppresses maturation of juvenile males indicated by size of the androgene-dependent mid-ventral gland, but accelerates their total growth. Thus, the social environment influences morpho-physiological characters of young males, effecting rate of their maturation directly or indirectly through the density dependent stress.