Mathematical model of coordination number of spherical packing

The article considers a mathematical model of the coordination number, which allows obtaining an equation for multi component spherical packing in the entire range of its change. The resulting model can be used in both 2-d and 3-d spaces. The concept of the coordination index is introduced as a function of the inter-particle distance related to a single particle located near the central particle. The model provides unambiguous compliance between the simulated and calculated data on the coordination numbers of the spherical packin

Integrating linear ordinary fourthorder differential equations in the MAPLE programming environment

This paper reports a method to solve ordinary fourth-order differential equations in the form of ordinary power series and, for the case of regular special points, in the form of generalized power series. An algorithm has been constructed and a program has been developed in the MAPLE environment (Waterloo, Ontario, Canada) in order to solve the fourth-order differential equation

Filaggrin gene polymorphisms are associated with atopic dermatitis in women but not in men in the Caucasian population of Central Russia

This study aimed to analyze the gender-specific association of the filaggrin (FLG) gene polymorphisms with atopic dermatitis in Caucasians from the central region of Russi

Polymorphisms of the filaggrin gene are associated with atopic dermatitis in the Caucasian population of Central Russia

Association of the filaggrin (FLG) gene with atopic dermatitis (AD) in Caucasians from Central Russia was studiedin the sample of 700 patients and 612 controls. The biological process enrichment analyses suggest that the target AD candidate genes influence the formation of the cornified envelope, keratinization and cornification, and more than twenty other pathways related to skin development, programmed cell death, and regulation of water loss via ski

CONTROLLING THE STOCHASTIC OSCILLATIONS IN A MODEL OF ELECTRONIC GENERATOR WITH HARD EXCITATION

We consider the Van der Pol model of the electronic generator with hard excitation in presence of noise. The bifurcation analysis of the deterministic model is carried out. The phenomena of the destruction of self-oscillations and generation of the trigger mode are studied. We solve the problem of control of the dispersion of random trajectories around attractors.Исследование выполнено при поддержке РФФИ (грант 16-08-00388)

Dataset of allele, genotype and haplotype frequencies of of four polymorphisms filaggrin gene in Russian patients with atopic dermatitis

Data on the allele, genotype and haplotype frequencies of four single nucleotide polymorphisms (SNPs) (rs3126085, rs12144049, rs471144 and rs4363385) filaggrin (FLG) gene in Russian patients with atopic dermatitis are presente

Polymorphism T3111C of the Clock gene in ethnic groups of women from Russia and Buryatia

Biological rhythms of organisms depend on both changing conditions of the external environment and internal “biological clock”. Circadian rhythms are the response of the organism to the change of day and night. They are some of the most important biological rhythms of organisms. Circadian rhythms are regulated by the group of circadian genes. It is known that women suffer from sleep disorders more often than men. Up to 50 % of menopausal women complain of problems associated with sleeping. The study involved 403 menopausal women aged from 45 to 60 years: 214 Russians (the average age is 52.74±6.28 years) and 189 Buryats (the average age is 51.95±5.13 years) living in Eastern Siberia (Irkutsk region, Irkutsk and Republic of Buryatia, Ulan-Ude). The prevalence of genotypes and alleles of the polymorphism T3111C of the circadian rhythm gene Clock (rs1801260) was studied in these groups. To this end, we conducted genotyping of DNA samples by polymerase chain reaction. It was shown that the compared groups have statistically significant differences in genotypes frequency (р = 0.001). It was found that in the group of Russian women the frequency of the TC genotype (p = 0.004) was significantly higher and the frequency of the TT genotype (p = 0.0001) was significantly lower than those in the sample of women of Buryatia. It was shown that in the group of Russian women allele 3111C is found in 30.4 % of cases, which is statistically significantly more often than in the group of Buryat women, where the frequency of allele 3111C was 19.3 % (p = 0.014)

Comorbid disease in children and adolescents with perinatal HIV infection: A pilot study

Background. With the increased use of combination antiretroviral therapy, the mortality of people living with HIV has decreased significantly, which has led to an increase of comorbidity and secondary HIV-related pathology in both adults and also in children and adolescents living with HIV infection. The incidence of children and adolescents with HIV infection and those in the general population varies significantly.The aim. To assess the frequency and range of chronic comorbidities in children and adolescents with perinatal HIV infection Methods. We carried out an observational study. Data on the incidence of 161 children with perinatal HIV infection registered in the Irkutsk Regional AIDS Center were copied.Results. Overall incidence of tuberculosis (18633.5 per 100 000 children), diseases of the digestive system (24844.7 per 100 000 children), diseases of the eye and adnexa (28571.4 per 100 000 children), diseases of the nervous system (18012.4 per 100 000 children), mental and behavioral disorders (13,664.6 per 100 000 children) in children with perinatal HIV infection is the higher than in children of comparable age. The overall incidence values of the endocrine system diseases, eating and metabolic disorders, diseases of the ear and mastoid process, diseases of the circulatory system, diseases of the genitourinary system, as well as congenital disorders and chromosomal disorders in children and adolescents with and without perinatal HIV infection are comparable.Conclusion. The prevalence of diseases of the circulatory, respiratory and genitourinary systems in children with perinatal HIV infection is comparable to that in the corresponding population. Prevalence of tuberculosis, anemia, diseases of the gastrointestinal tract, diseases of the eye and adnexa, diseases of the nervous system, mental and behavioral disorders is higher compared to children not exposed to HIV

Faraday rotation spectra of bismuth-substituted ferrite garnet films with in-plane magnetization

Single crystalline films of bismuth-substituted ferrite garnets have been synthesized by the liquid phase epitaxy method where GGG substrates are dipped into the flux. The growth parameters are controlled to obtain films with in-plane magnetization and virtually no domain activity, which makes them excellently suited for magnetooptic imaging. The Faraday rotation spectra were measured across the visible range of wavelengths. To interprete the spectra we present a simple model based on the existence of two optical transitions of diamagnetic character, one tetrahedral and one octahedral. We find excellent agreement between the model and our experimental results for photon energies between 1.77 and 2.53 eV, corresponding to wavelengths between 700 and 490 nm. It is shown that the Faraday rotation changes significantly with the amount of substituted gallium and bismuth. Furthermore, the experimental results suggest that the magnetooptic response changes linearly with the bismuth substitution.Comment: 15 pages, 6 figures, published in Phys. Rev.