The aim of the article is to describe the inner structure of ramified division algebras with second-kind involutions over discretely valued henselian fields as the direct sum of their inertial algebras and special generators from valuation ideals. 

In the article, new sufficient conditions of the extremum of the multivariable functions are shown. New sufficient tests of the stability and the asymptotic stability of gradient systems are stated. 

In the article we present an improvement to the lemma on the order of simultaneous zero approximation by the values of two integer polynomials without common roots from A. O. Gelfond’s monograph “Transcendental and algebraic numbers”. The lemma says that if two integer polynomials P1 and P2 of degree not exceeding n1 and n2 and of height not exceeding Qµ1 and Qµ2 respectively having no roots in common take values 1 Px Q 1( ) −τ < and 2 Px Q 2 ( ) −τ < at some transcendental point x ∈¡, then min( , ) τ τ < µ + µ +δ 1 2 12 21 n n . Gelfond’s lemma and similar results have important applications to many problems of the metric theory of Diophantine approximation. One of such applications is the result due to V. Bernik (1983) on the upper bound for the Hausdorff dimension of the set of real numbers with specified order of zero approximation by the values of integer polynomials. This result along with the result of A. Baker and W. Schmidt (1970) on the lower bound of the Hausdorff dimension of the set mentioned above gives the exact formula. In order to prove the upper bound V. Bernik improved and extended Gelfond’s lemma by considering the values of polynomials of degree not exceeding n and of height not exceeding Qµ on some interval of length Q−η and obtaining a stronger inequality τ+µ+ τ+µ−η < µ +δ 2max( , 0) 2 , n τ= τ τ min( , ). 1 2 However, the need to consider the same estimates for the degree and height of the polynomials is still restrictive and limits the range of problems this result could be applied to. In our work we consider the values of polynomials of different degrees and heights on an interval and obtain a stronger estimate by using higher order derivatives, thus improving and extending Gelfond’s lemma and existing similar results. The result is obtained using the methods of the theory of transcendental numbers.

The structure of human bone slices taken from patients suffering from deforming arthrosis of the hip joint (coxarthrosis) was studied by Raman spectroscopy. Comparative analysis of healthy and sick bone tissues was made on the basis of the intensity ratio of RS bands associated with organic and mineral components. It was shown that coxarthrosis results in a relative increase of an organic component and in a higher degree of substitution of phosphate groups by carbonate ones in the hydroxyapatite lattice. 

A mechanism of stimulated emission of electromagnetic radiation by an electron beam in metal carbon nanotubes and graphene is theoretically considered. Three basic properties of graphene and carbon nanotubes: strong slowing down of surface electromagnetic waves, anomalously large electron free path length, and extremely high electron current density to be reached in the structures considered allow us to propose them as candidates for the development of Cherenkovtype nanoscale emitters analogous to a traveling-wave tube and a free electron-based laser. In graphene/polymer multi-layered structures exposed to an external electron beam, the generation is possible on a macroscopic scale, and the generation frequency tuning is proposed by varying the graphene doping, the number of graphene sheets, a distance between sheets, etc. 

The generally relativistic motivated explicit analytic expression describing the interacting energy of the pair of nonpoint-like non-spinning masses is found. It is shown that Gibbons’ maximum tension principle allows us to remove the co-ordinate singularities so that the energy of the gravitational two-particle interaction possesses a numerically bounded minimum. It is shown that Gibbons’ maximum force treated in a purely mechanical context possesses the explicit parametric dependence on the interacting mass ratio. 

To study the spectrum of modulators of the human thromboxane synthase activity, the interaction of recombinant protein with various low-molecular weight ligands was analyzed. It was shown that thromboxane synthase interacts with a number of fatty acids and their derivatives (potential substrates or concurrent inhibitors), being a target for nonselective inhibition by imidazole and triazole derivatives used in medical practice and agriculture. Thus, another mechanism of action of endocrine-disrupting chemicals (EDC) was established. For the first time, the reduction of heme iron of thromboxane synthase by cytochrome P450 reductase was shown. This interaction accompanied by a partial inhibitory effect on the enzyme suppresses the formation of reaction by-products 12-hydroxyheptadecatenoic acid (12-HHT) and malonic dialdehyde (MDA). It is likely that this mechanism can participate in the regulation of the enzyme activity in vivo. 

In this study, we first characterized the effect of natural brassinosteroids, 24-epibrassinolide (EBl) and 28-homocastasterone (HCS), and synthetic analogs, (22S,23S)-24-epibrassinolide and (22S,23S)-28-homocastastone, on the growth of the cancer cell line Hep G2 (hepatocellular carcinoma), as well as on the catalytic activity of cytochrome P450, which participates in the metabolism of most procarcinogens. All four compounds at high concentrations suppressed the proliferation of the test cell line. It is also interesting that at low concentrations, 24-EBl, (22S,23S)-24-EBl and (22S,23S)28-HCS activated significantly the Hep G2 cell growth. All studied brassinosteroids, except for 28-HCS, inhibited the activity of CYP1A1 and CYP1B1. The effect depended on the structure of the side chain and was more pronounced in the case of the SS orientation of the hydroxyl groups at the positions C22 and C23 ((22S,23S)-28-homocastasterone). The results of this work suggest that the studied brassinosteroids (especially (22S,23S)-28-homocastasterone) can be used to create effective drugs for tumor prevention and treatment.

Structural factors that induce the proapoptotic activation of Bax by the protein TOM22 of the TOM complex and BH3-only protein tBid are established. 

The key process in the pathogenesis of any malignant neoplasms, including non-small cell lung cancer (NSCLC), is the angiogenesis that is activated by two tyrosine kinase cascades (RAS/RAF/MAPK and PI3K/AKT/mTOR). The main genes controlling these pathways are EGFR, KRAS, PIK3CA and PTEN. The study analyzed the mutations in 18–21 exons of the EGFR gene, 2 exons of the KRAS gene, 9 and 20 exons of the PIK3CA gene and 7 exons of the PTEN gene in patients with NSCLC living in Belarus and their relationship with the clinical and morphological characteristics of the tumor. Our results revealed that mutations in the EGFR gene are significantly frequent more than 5 times in patients with non-small cell lung cancer than those in the control group. Classical mutations in the EGFR gene are found only in patients with lung adenocarcinoma, predominantly in women. Mutations of the KRAS gene are found only in men, and in patients with adenocarcinoma it is 3 times more likely than in patients with squamous cell lung carcinoma. There are no somatic mutations in the PIK3CA and PTEN genes in patients with NSCLC in this study. 

An ordinary jackal (Canis aureus Linnaeus, 1758) is a mammal species of the Canidae family that has been characterized by a rapid expansion of the range in recent decades. In Belarus, the first report on the registration of the jackal appeared in 2012 and concerned an animal that was found in the southeast of the Brest region at the end of 2011. However, this finding was not scientifically confirmed at that time. The purpose of this work was to establish by means of molecular genetic methods the species affiliation of “jackal-like” individuals hunted at different times in the territory of Belarus. Molecular genetic studies conducted on the biomaterial of three animals with unclear species affiliation confirmed the fact of the first registration of the Asian jackal in the territory of Belarus in December 2011. It is given that an Asian jackal has a connection with the Balkan distribution center. The other two “jackal-like” individuals were the representatives of the species Canis lupus on the maternal line. However, it is possible that their morphological features unusual for wolves are a consequence of their hybridization with domestic dogs. This requires a further careful study based on the nuclear genome. 

The effect of ascorbate in physiological concentrations on the proliferative activity and chemoresistance in human larynx carcinoma HEp-2 cells was studied. Ascorbate in a concentration of 60 μM was found to increase the cancer cells proliferation rate 1.5 times. Ascorbate changes the functional state of the cancer cells, thereby increasing their resistance to doxorubicin and thymoquinone. It was shown that apocynin (NADPH oxidase inhibitor) blocks the stimulating effect of the antioxidant. The results obtained suggest that reactive oxygen species produced by NADPH oxidase participate in the mechanism of cell adaptive response induced by ascorbate. 

Spasm of arterioles (thickening of the smooth muscle cell layer), endothelial desquamation and neutrophilic perivascular infiltration are often observed in the microvasculature on the background of diabetes mellitus. Microangiopathies of the skin and internal organs develop in parallel and are comparable in nature with morphological changes. The level of renin significantly increases in diabetes mellitus, which indicates an early involving of mechanisms of renal pathology and development of arterial hypertension. Osteocalcin reduces in diabetes mellitus, which is associated with severe (possibly irreversible) metabolic disorders of bone tissue and osteoblast death. 

Turbulent characteristics of a reattached flow separated from a rib in an air flat channel were numerically analyzed by RANS and LES methods. The both methods showed low pressure regions in corners formed by the rib and the channel walls that caused a vorticity tube to be formed along the rib. Nevertheless in RANS, a reattached flow was identified as two-dimensional with a velocity decreasing near the channel bottom wall. In LES, the low pressure regions caused transverse and normal motions in the separation region that resulted in redistributions between velocity components, Reynolds stresses and the velocity decrease near the channel bottom wall, i.e., the formation of three-dimensional reattached flow. 

The issue of formation of an electromagnetic field at the explosion of a shaped charge in the ionization process of detonation products is discussed. As a physical model of electromagnetic field time variation in different directions, it is proposed to consider the motion of a charged plane that represents a flow of ionized nonideal plasma accelerated by a shaped charge. It is shown that as a result of explosion of a shaped charge, the ionized flow of detonation products (nonideal plasma) develops, around which the magnetic field is formed. 

The effect of short glass fibers (GFs) and thermally expanded graphite (TEG), added to polyethyleneterephtalate (PET), on mechanical, including dynamical mechanical, and rheological properties, as well as the structural features of the produced composites is studied. Compounding with the PET melt is realized by reactive extrusion using a co-rotating twin screw extruder-reactor with L / D = 40. Analyzed composites contained from 15 to 60 wt. % of GFs, and the TEG concentration was 0.5 and 3.0 wt. It is found that hybrid filling of PET results in a synergetic increase of the tensile modulus of the composites reaching the values more than 22 GPa, as well as that of the dynamic shear modulus in a wide temperature range. Adding TEG into PET/GF composites increases the degree of binder crystallinity. An effect of an anomalous decrease in the intrinsic viscosity of PET solutions and an increase in the melt flow index of the melt composites observed at higher GF concentrations is attributed to a deeper degradation of polymer.