In vivo study of fidelity of DNA double-strand break repair in bacteriophage T4

A method for in vivo studying the fidelity of DNA double-strand break (DSB) repair in bacteriophage T4 has been developed. The frequency of reversion of rII mutations to the wild phenotype was measured in i segC+ x i ets 1 segCDelta crosses, where ets 1 is an insertion in the initial part of the rII gene carrying a sequence recognized by SegC endonuclease; i designates a rIIB or rIIA mutation located at some distance from ets 1, and segCDelta is a deletion in the segC gene. In such cross, a DSB occurs in the site of ets 1. Their repair involves genetic recombination and DNA replication in the neighborhood of ets 1. In parallel, the frequency of reversion of the same i mutant in the absence of DSBs is measured in i x i self-crosses. Reversions of different types (base substitutions, deletions, insertions) can be studied with the use of structurally different i mutations located at varying distances from ets 1. The reversion frequencies were determined for three rIIB mutations and one rIIA mutation. The results obtained suggest that DSB repair in bacteriophage T4 is a process of high fidelity with the rate of errors that does not essentially exceed that in the case of usual phage multiplication.     

Interaction between checkpoint genes <Emphasis Type="Italic">RAD9, RAD17, RAD24</Emphasis>, and <Emphasis Type="Italic">RAD53</Emphasis> involved in the determination of yeast <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> sensitivity to ionizing radiation

Mechanisms for genetic control of cell division cycle (checkpoint control) have been studied in most detail in yeast Saccharomyces cerevisiae. To clarify the role of checkpoint genes RAD9, RAD17, RAD24, and RAD53 in cell radioresistance, double mutants were analyzed for cell sensitivity to ionizing radiation. Double mutants carrying mutations in combination with mutation rad9Δ were shown to manifest the epistatic type of interaction. Our results suggest that checkpoint genes RAD9, RAD17, RAD24, and RAD53 belong to a single epistatic group designated RAD9 and govern the same pathway. Genes RAD9 and RAD53 have a positive effect on sensitivity to γ-radiation, whereas RAD17 and RAD24 have a negative effect. Interactions between mutations may differ when considering their sensitivity to γ-radiation and UV light; mutations rad9Δ and rad24Δ were shown to manifest the additive effect in the first case and epistatic effect in the second.     

Genetic and biochemical evidences reveal novel insights into the mechanism underlying <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> Sae2-mediated abrogation of DNA replication stress

In Saccharomyces cerevisiae, the Mre11-Rad50-Xrs2 (MRX) protein complex plays pivotal roles in double-strand break (DSB) repair, replication stress and telomere length maintenance. Another protein linked to DSB repair is Sae2, which regulates MRX persistence at DSBs. However, very little is known about its role in DNA replication stress and repair. Here, we reveal a crucial role for Sae2 in DNA replication stress. We show that different mutant alleles of SAE2 cause hypersensitivity to genotoxic agents, and when combined with Δmre11 or nuclease-defective mre11 mutant alleles, the double mutants are considerably more sensitive suggesting that the sae2 mutations synergize with mre11 mutations. Biochemical studies demonstrate that Sae2 exists as a dimer in solution, associates preferentially with single-stranded and branched DNA structures, exhibits structure-specific endonuclease activity and cleaves these substrates from the 5′ end. Furthermore, we show that the nuclease activity is indeed intrinsic to Sae2. Interestingly, sae2^G270D protein possesses DNA-binding activity, but lacks detectable nuclease activity. Altogether, our data suggest a direct role for Sae2 nuclease activity in processing of the DNA structures that arise during replication and DNA damage and provide insights into the mechanism underlying Mre11-Sae2-mediated abrogation of replication stress-related defects in S. cerevisiae.     

DNA repair kinetics in SCID mice Sertoli cells and DNA-PKcs-deficient mouse embryonic fibroblasts

Noncycling and terminally differentiated (TD) cells display differences in radiosensitivity and DNA damage response. Unlike other TD cells, Sertoli cells express a mixture of proliferation inducers and inhibitors in vivo and can reenter the cell cycle. Being in a G₁-like cell cycle stage, TD Sertoli cells are expected to repair DSBs by the error-prone nonhomologous end-joining pathway (NHEJ). Recently, we have provided evidence for the involvement of Ku-dependent NHEJ in protecting testis cells from DNA damage as indicated by persistent foci of the DNA double-strand break (DSB) repair proteins phospho-H2AX, 53BP1, and phospho-ATM in TD Sertoli cells of Ku70-deficient mice. Here, we analyzed the kinetics of 53BP1 foci induction and decay up to 12 h after 0.5 Gy gamma irradiation in DNA-PKcs-deficient (Prkdc ^scid ) and wild-type Sertoli cells. In nonirradiated mice and Prkdc ^scid Sertoli cells displayed persistent DSBs foci in around 12 % of cells and a fivefold increase in numbers of these DSB DNA damage-related foci relative to the wild type. In irradiated mice, Prkdc ^scid Sertoli cells showed elevated levels of DSB-indicating foci in 82 % of cells 12 h after ionizing radiation (IR) exposure, relative to 52 % of irradiated wild-type Sertoli cells. These data indicate that Sertoli cells respond to and repair IR-induced DSBs in vivo, with repair kinetics being slow in the wild type and inefficient in Prkdc ^scid . Applying the same dose of IR to Prdkc ^?/? and Ku ^?/? mouse embryonic fibroblast (MEF) cells revealed a delayed induction of 53BP1 DSB-indicating foci 5 min post-IR in Prdkc ^?/? cells. Inefficient DSB repair was evident 7 h post-IR in DNA-PKcs-deficient cells, but not in Ku ^?/? MEFs. Our data show that quiescent Sertoli cells repair genotoxic DSBs by DNA-PKcs-dependent NEHJ in vivo with a slower kinetics relative to somatic DNA-PKcs-deficient cells in vitro, while DNA-PKcs deficiency caused inefficient DSB repair at later time points post-IR in both conditions. These observations suggest that DNA-PKcs contributes to the fast and slow repair of DSBs by NHEJ.     

Characterization of a novel lytic bacteriophage from an industrial <Emphasis Type="Italic">Escherichia coli</Emphasis> fermentation process and elimination of virulence using a heterologous CRISPR–Cas9 system

Bacterial–bacteriophage interactions are a well-studied and ecologically-important aspect of microbiology. Many commercial fermentation processes are susceptible to bacteriophage infections due to the use of high-density, clonal cell populations. Lytic infections of bacterial cells in these fermentations are especially problematic due to their negative impacts on product quality, asset utilization, and fouling of downstream equipment. Here, we report the isolation and characterization of a novel lytic bacteriophage, referred to as bacteriophage DTL that is capable of rapid lytic infections of an Escherichia coli K12 strain used for commercial production of 1,3-propanediol (PDO). The bacteriophage genome was sequenced and annotated, which identified 67 potential open-reading frames (ORF). The tail fiber ORF, the largest in the genome, was most closely related to bacteriophage RTP, a T1-like bacteriophage reported from a commercial E. coli fermentation process in Germany. To eliminate virulence, both a fully functional Streptococcus thermophilus CRISPR3 plasmid and a customized S. thermophilus CRISPR3 plasmid with disabled spacer acquisition elements and seven spacers targeting the bacteriophage DTL genome were constructed. Both plasmids were separately integrated into a PDO production strain, which was subsequently infected with bacteriophage DTL. The native S. thermophilus CRISPR3 operon was shown to decrease phage susceptibility by approximately 96%, while the customized CRISPR3 operon provided complete resistance to bacteriophage DTL. The results indicate that the heterologous bacteriophage-resistance system described herein is useful in eliminating lytic infections of bacteriophage DTL, which was prevalent in environment surrounding the manufacturing facility.     

Altered somatic mutation level and DNA repair gene expression in <Emphasis Type="Italic">Arabidopsis thaliana</Emphasis> exposed to ultraviolet C,salt, and cadmium stresses

It is known that somatic mutations arising during animal growth and ageing contribute to the development of neurodegenerative and other animal diseases. For plants, several studies showed that small-scale somatic DNA mutations accumulated during Arabidopsis life cycle. However, there is a lack of data on the influence of environmental stresses on somatic DNA mutagenesis in plants. In this study, we analyzed the effects of ultraviolet C (UV-C) irradiation, high soil salinity, and cadmium (CdI₃) stresses on the level of small-scale somatic DNA mutations in Arabidopsis thaliana. The number of DNA mutations was examined in the Actin2 3′UTR (Actin-U1), ITS1-5.8rRNA-ITS2 (ITS), and ribulose-1,5-biphosphate carboxylase/oxygenase (rbcL) DNA regions. We found that somatic mutation levels considerably increased in CdI₃-treated Arabidopsis plants, while the mutation levels declined in the UV-C- and NaCl-treated A. thaliana. Cadmium is a mutagen that is known to inhibit DNA repair processes. The detected stress-induced alterations in somatic DNA mutation levels were accompanied by markedly increased expression of base excision repair genes (AtARP, AtDME, AtDML2, AtDML3, AtMBD4, AtROS, AtUNG, and AtZDP), nucleotide excision repair genes (AtDDB1a, AtRad4, and AtRad23a), mismatch repair genes (AtMSH2, AtMSH3, and AtMSH7), and photoreactivation genes (AtUVR2, AtUVR3). Thus, the results demonstrated that UV-C, high soil salinity, and cadmium stresses influence both the level of DNA mutations and expression of DNA repair genes. Salt- and UV-induced activation of DNA repair genes could contribute to the stress-induced decrease in somatic mutation level.     

Repair of cisplatin-DNA adducts in mutants for genes controlling spontaneous and induced mutagenesis in <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> yeast

Sensitivity to the lethal action of the anticancer substance cisplatin was studied in the yeast mutants him1, hsm2, hsm3, and hsm6, deficient for repair of spontaneous and induced mutations. The him1 and hsm3 mutants were as resistant to the agent under study as the wild-type strain. The survival of the double mutant rad2 hsm3 was higher than that of the single mutant rad2. The hsm2 and hsm6 mutants were more cisplatin-sensitive than the wild type. Cisplatin was shown to have high mutagenic and recombinogenic effects on yeast cells.     

Dot1 and Set2 histone methylases control the spontaneous and UV-induced mutagenesis levels in the <Emphasis Type="Italic">Saccharomyces cerevisiae</Emphasis> yeasts

In the Saccharomyces cerevisiae yeasts, the DOT1 gene product provides methylation of lysine 79 (K79) of histone H3 and the SET2 gene product provides the methylation of lysine 36 (K36) of the same histone. We determined that the dot1 and set2 mutants suppress the UV-induced mutagenesis to an equally high degree. The dot1 mutation demonstrated statistically higher sensitivity to the low doses of MMC than the wild type strain. The analysis of the interaction between the dot1 and rad52 mutations revealed a considerable level of spontaneous cell death in the double dot1 rad52 mutant. We observed strong suppression of the gamma-induced mutagenesis in the set2 mutant. We determined that the dot1 and set2 mutations decrease the spontaneous mutagenesis rate in both single and double mutants. The epistatic interaction between the dot1 and set2 mutations and almost similar sensitivity of the corresponding mutants to the different types of DNA damage allow one to conclude that both genes are involved in the control of the same DNA repair pathways, the homologous-recombination-based and the postreplicative DNA repair.     

Regulation of the Pore-Forming Activity of Cecropin A by Local Anesthetics

The influence of local anesthetics on the regulation of the channel-forming activity of the antimicrobial peptide cecropin A has been investigated. The mean current flowing through the single cecropin channels i_sc was determined, and steady-state transmembrane current induced by cecropin AI_∞ was measured. It has been shown that the introduction of 1 mM of bupivacaine, benzocaine or 0.3 mM of tetracaine into the membrane bathing solution results in a decrease in i_sc and I_∞. At the same time, the addition of 1 mM lidocaine or procaine to the membrane-bathing solutions does not lead to a significant change in i_sc and I_∞. Comparison of the absolute values and the sign of the change in the boundary potential of negatively charged membranes and relative changes of i_sc and I_∞ after addition of local anesthetics shows that neither parameter correlates with the membrane boundary potential. The results of studying the effect of tested local anesthetics on the phase transition of membrane lipids allow us to conclude that the observed changes of i_sc and I_∞ are due to modulation of the elastic properties of the membrane.     

Identification of <Emphasis Type="Italic">r</Emphasis> mutations conferring white flowers in the Japanese morning glory (<Emphasis Type="Italic">Ipomoea nil</Emphasis>)

The wild-type Japanese morning glory [Ipomoea nil (L.) Roth.] exhibits blue flowers with red stems, and spontaneous r mutants display white flowers with green stems. We have identified two r mutations, r1-1 and r1-2, that are caused by insertions of Tpn1-related DNA transposable elements, Tpn3 (5.6 kb) and Tpn6 (4.7 kb), respectively, into a unique intron of the CHS-D gene, which is responsible for flower and stem pigmentation. Both Tpn3 and Tpn6, which belong to the En/Spm or CACTA superfamily, are nonautonomous elements lacking transposase genes but containing unrelated cellular DNA segments including exons and introns. Interestingly, r1-2 contains an additional 4-bp insertion at the Tpn3 integration site in r1-1, presumably a footprint caused by the excision of Tpn3. The results strengthen the previous notion that Tpn1 and its relatives are major spontaneous mutagens for generating various floriculturally important traits in I. nil. Since I. nil has an extensive history of genetic studies, molecular identification of classical spontaneous mutations would also facilitate reinterpretation of the abundant classical genetic data available.     

<Emphasis Type="Italic">Platycladus orientalis</Emphasis> PoKub3 is involved in abiotic stress responses in transgenic arabidopsis

Ku70-binding proteins associate with Ku70 and their expression levels can affect DSB repair efficiency via the DNA-PK-dependent repair pathway. However, how Ku70-binding proteins in plants exert a regulatory function under abiotic stress is poorly understood. Here, we cloned and characterized a PoKub3 gene from 500-year-old Platycladus orientalis. With increasing age, PoKub3 expression in P. orientalis increased gradually. The PoKub3 expression levels in leaves were upregulated under salt, heat, UV-C and abscisic acid treatments according to qRT-PCR. Moreover, PoKub3 overexpression in Arabidopsis thaliana improved tolerance to salt and drought stress compared with wild-type (WT) and vector control (VC) plants. High RAB18 and DREB2A expression and low JAZ1 and ABI2 expression provided strong evidence that salt tolerance was enhanced in the overexpression plants. Similarly, high RAB18 and DREB2A expression, accompanied by low JAZ1 and LOX1 expression and high DREB1A, CPK10, GSTF6 and APX1 expression, suggested the drought tolerance mechanism was associated with the abscisic acid pathway. In addition, lower malondialdehyde content, electrolyte leakage and stomatal conductance, and higher soluble sugar and relative water contents in PoKub3 overexpression lines than in WT and VC plants demonstrated its role in salt and drought tolerance. Together, these findings show that PoKub3 positively regulates salt and drought tolerance by regulating stress-related genes.     

Genetic polymorphisms in the 5'-flanking region of the melanocortin 1 receptor (<Emphasis Type="Italic">MC1R</Emphasis>) gene in foxes

The one of the key pigment genes, the melanocortin 1 receptor (MC1R) gene, plays a fundamental role in the determination of coat color in a variety of mammals. However, so far there has been no report regarding the genetic variants of the MC1R promoter region and the potential association of its mutations with coat color in foxes. This work aimed to characterize 5'-flanking region of the MC1R gene and its mutations associated with coat color variations in foxes. A total of 76 individuals including 64 red foxes (Vulpes vulpes), representing 11 color morphs, and 12 arctic foxes (Vulpes lagopus), representing 2 color morphs were studied. To explore the potential cause of coat color variation in foxes, an 1105 bp region located upstream of the MC1R gene coding region was sequenced in 76 foxes. In the present study, a 1267 bp 5'-flanking region of fox MC1R gene was obtained using a PCR-mediated chromosome-walking technique and a 1105 bp segment was sequenced. A total of 8 novel SNPs and an insertion/deletion of 4 nucleotides were detected. The results of mutations analysis indicated that SNPs g.-52G>A, g.-266A>G, g.-297T>C, g.-300G>A and the insertion/deletion spaning positions g.-382~-379 were important in distinguishing V. vulpes and V. lagopus. This work, for the first time, described and confirmed the different variants existed in the 5'-flanking region of MC1R gene between red foxes and arctic foxes. These findings may be extremely helpful for further exploring the alternative splicings or promoter activity of MC1R gene for different coat-colored foxes.     

Impacts on Micro- and Macro-Structure of Thermally Stabilised Whey Protein-Pectin Complexes: A Fluorescence Approach

Stability of whey protein-pectin complexes is an essential criterion for their application in different food matrices. The impact of process parameters on micro- and macro-structural characteristics of thermally stabilised whey protein-pectin complexes was investigated using fluorescence spectroscopy, ζ-potential measurements, dynamic light scattering and phase separation. Complexes prepared from whey protein isolate (WPI) and pectins with different degrees of esterification (HMP, LMP) were generated at different biopolymer concentrations (WPI + pectin: 5.0 % + 1.0 %, c _{h i g h} ; 2.75 % + 0.55 %, c _{m e d} ; 0.5 % + 0.1 %, c _{l o w} ), heating temperatures (80-90^°C) and pH levels (6.1-4.0). Micro- and macro-structural characteristics of the complexes depended on concentration level and degree of esterification, with complexes being more sensitive towards environmental changes at c _{l o w} than at c _{m e d} and c _{h i g h} . WPI-LMP complexes exhibited sizes <1 μm suitable for micro-encapsulation, whereas WPI-HMP complexes at c _{m e d} achieved sizes from 1-10 μm and at c _{h i g h} from 10-200 μm underlining their potential as fat-replacers and structuring agents, respectively. Slopes and intercepts derived from intensity ratios of fluorescence spectra gave insights into the state of unfolding of β-lactoglobulin within the complexes and thus about the protective effect of pectin addition.     

Reliability of the search for 19 common mutations in the <Emphasis Type="Italic">CFTR</Emphasis> gene in Russian cystic fibrosis patients and the calculated frequency of the disease in Russian Federation

A study of Russian cystic fibrosis (CF) patient DNA was conducted to assess the incidence frequency of 19 mutations, namely CFTRdele2,3(21kb), F508del, I507del, 1677delTA, 2143delT, 2184insA, 394delTT, 3821delT, L138ins, 604insA, 3944delGT, G542X, W1282X, N1303K, R334W, and 3849 + 10kbC > T, S1196X, 621 + 1g > t, and E92K of the CFTR gene. We also sought to determine the estimated CF frequency in Russian Federation. In addition, we determined the total information content of the approach for 19 common mutations registration in the CFTR gene, 84.6%, and the allelic frequencies of the examined mutations: three mutations were observed with a frequency exceeding 5% (F508del, 53.98%, E92K, 6.47%, CFTRdele2,3(21kb), 5.35%); other mutations were observed with frequencies ranging from 0.13 to 3.0%. The CF population carrier frequency was 1 in 38 subjects, while the predicted CF frequency was 1 in 5776 newborns.     

Physical Parameters of a Reactor-Stellarator with Small Ripples of the Helical Magnetic Field

The paper describes the calculation data on the physical parameters of a reactor-stellarator, where the nonuniformities of the helical field are smaller than the toroidal magnetic field nonuniformities: ε_h < ε_t. Unlike the previous studies, where the ion-component transport coefficients had the collision frequency dependence proportional to ν^1/2, this being equivalent to the ε_h > ε_t case, in the present calculations, these coefficients were assumed to be in proportion to the first power of the collision frequency, D_i ∝ ν for ν_eff < 2ω_E, and to D_i ∝ ν^?1 for the inverse inequality. Here, ω_E is the rotation frequency of plasma in the radial electric field. As before, the plasma electrons corresponded to the mode of D_e ∝ ν^?1. As initial parameters for numerical calculations, a reactor with R = 8 m, r_p = 2 m, and B₀ = 5 Т was taken. A numerical code was used to solve the set of equations that describes the plasma space?time behavior in the reactor-stellarator under the conditions of equal diffusion fluxes. The start of reactor operation in the mode of thermonuclear burning was provided by heating sources with a power of several tens of megawatts. Steady-state operating conditions of a self-sustained thermonuclear reaction were attained by maintaining the plasma density through DT fuel pellet injection into the plasma.     

Expression Patterns of ABC Transporter Genes in Fluconazole-Resistant <Emphasis Type="Italic">Candida glabrata</Emphasis>

Clinical management of fungal diseases is compromised by the emergence of antifungal drug resistance in fungi, which leads to elimination of available drug classes as treatment options. An understanding of antifungal resistance at molecular level is, therefore, essential for the development of strategies to combat the resistance. This study presents the assessment of molecular mechanisms associated with fluconazole resistance in clinical Candida glabrata isolates originated from Iran. Taking seven distinct fluconazole-resistant C. glabrata isolates, real-time PCRs were performed to evaluate the alternations in the regulation of the genes involved in drug efflux including CgCDR1, CgCDR2, CgSNQ2, and CgERG11. Gain-of-function (GOF) mutations in CgPDR1 alleles were determined by DNA sequencing. Cross-resistance to fluconazole, itraconazole, and voriconazole was observed in 2.5 % of the isolates. In the present study, six amino acid substitutions were identified in CgPdr1, among which W297R, T588A, and F575L were previously reported, whereas D243N, H576Y, and P915R are novel. CgCDR1 overexpression was observed in 57.1 % of resistant isolates. However, CgCDR2 was not co-expressed with CgCDR1. CgSNQ2 was upregulated in 71.4 % of the cases. CgERG11 overexpression does not seem to be associated with azole resistance, except for isolates that exhibited azole cross-resistance. The pattern of efflux pump gene upregulation was associated with GOF mutations observed in CgPDR1. These results showed that drug efflux mediated by adenosine-5-triphosphate (ATP)-binding cassette transporters, especially CgSNQ2 and CgCDR1, is the predominant mechanism of fluconazole resistance in Iranian isolates of C. glabrata. Since some novel GOF mutations were found here, this study also calls for research aimed at investigating other new GOF mutations to reveal the comprehensive understanding about efflux-mediated resistance to azole antifungal agents.     

A method of acoustic analysis for detection of bacteriophage-infected microbial cells

The dependence of the changes of physical parameters of the suspension of Azospirillum brasilense Sp7 cells infected by FAb-Sp7 bacteriophage on their number and exposure time was studied using a biological sensor based on a piezoelectric resonator with a lateral electric field. The change in the value of the analytical signal was recorded at 1 minute from the beginning of the infection of the cells by bacteriophage. The selectivity of the action of the FAb-Sp7 bacteriophage was studied for Azospirillum brasilense (strains Cd, Sp107, Sp245, Jm6B2, Br14, KR77, S17, S27, SR55, and SR75), A. lipoferum (strains Sp59b, SR65, and RG20a), A. halopraeferans Au4, Nitrospirillum amazonense Am14, Niveispirillum irakense (strains KBC1 and KA3) bacteria, as well as for heterologous bacteria of the genera Escherichia coli (strains XL-1 and B-878), Pseudomonas putida (strains C-11 and BA-11), and Acinetobacter calcoaceticum A-122. The limit of the reliable determination of the concentration of microbial cells during bacteriophage infection process was found: ~10⁴ cells/mL. At the same time, the presence of heterologous cell cultures (E. coli XL-1 cells) did not complicate the detection. It was shown that the method of electroacoustical analysis of cell suspensions can be used for the detection of microbial cells of Azospirillum infected by the FAb-Sp7 bacteriophage. The results are promising for the development of methods for determining and controlling the number of soil microorganisms.     

On the minimum electron transport coefficients in tokamaks in the range of low collision frequencies

There are two close empirical scalings, namely, the T-11 and neo-Alcator ones, that provide correct estimates for the energy confinement time in tokamaks in ohmic heating regimes in the linear part of the dependence τ _E (\(\bar n_e \)) in the range of low values of \(\bar n_e \) and 〈ν _e ^* 〉 ≤ 1. The similar character of electron energy confinement in this range, which expands with increasing magnetic field B ₀, has stimulated the search for dimensionless parameters and simple physical models that would explain the experimentally observed dependences χ _e ～ 1/n _e and τ _Ee ～ \(\bar n_e \). In 1987, T. Okhawa showed that the experimental data were satisfactorily described by the formula χ_e⊥ = (c ²/ω _pe ² )ν _e /qR, in deriving of which the random spatial leap along the radius r on the electron trajectory was assumed to be the same as that in the coefficient of the poloidal field diffusion, while the repetition rate of these leaps was assumed to be ν _e /qR. In 2004, J. Callen took into account the decrease in the fraction of transient electrons with increasing toroidal ratio ? = r/R and corrected the coefficient c ²/ω _pe ² in Okhawa equation by the factor σ _‖ ^Sp /σ _‖ ^neo . If one takes into account this correction and assumes that the frequency of the stochastic process is equal to the reciprocal of the half-period of rotation of a trapped electron along its banana trajectory, then the resulting expression for χ_e⊥ will coincide with the T-11 scaling: χ _e ^an ∞ ?^1.75(T _e /A _i )^0.5/(n _e qR) at A i = 1. If the same stochastic process also involves ions, it may result in the opening of the orbit of a trapped ion at the distance ～(c/ω _pe )(m _i /m _e )^1/4. In this case, the calculated coefficient of electron and ion diffusion D is close to D ^an ≈ χ _e ^an /2.