The stability with respect to coefficients of solution of a difference scheme approximating the initial boundary-value problem for the one-dimensional semi-linear hyperbolic equation is studied. The estimates of the solutions of both differential and difference problems are obtained. In the domain of existence of the solution, the estimates for perturbation of the solution of a difference scheme with respect to perturbation of the coefficients of the equation are obtained. These estimates are consistent with the estimates for the differential problem. In all cases, the method of energy inequalities, the Bihari inequality and its mesh analogue are used.

The algorithm ACT (Adaptive Color Tracker) to track objects by a moving video camera is presented. One of the features of the algorithm is the adaptation of the feature set of the tracked object to the background of the current frame. At each step, the algorithm extracts from the object features those that are more specific to the object and at the same time are at least specific to the current frame background, since the rest of the object features not only do not contribute to the separation of the tracked object from the background, but also impede its correct detection. The features of the object and background are formed based on the color representations of scenes. They can be computed in two ways. The first way is 3D-color vectors of the clustered image of the object and the background by a fast version of the well-known k-means algorithm. The second way consists in simpler and faster partitioning of the RGB-color space into 3D-parallelepipeds and subsequent replacement of the color of each pixel with the average value of all colors belonging to the same parallelepiped as the pixel color. Another specificity of the algorithm is its simplicity, which allows it to be used on small mobile computers, such as the Jetson TXT1 or TXT2.

The algorithm was tested on video sequences captured by various camcorders, as well as by using the well-known TV77 data set, containing 77 different tagged video sequences. The tests have shown the efficiency of the algorithm. On the test images, its accuracy and speed overcome the characteristics of the trackers implemented in the computer vision library OpenCV 4.1.

We propose an algorithm for comparing protein-protein complexes based on their functional properties in terms of Gene Ontology. The proposed measure of a functional similarity between complexes is combined with a structural measure to find templates for the template-based docking of protein complexes. We present the results on the modeling of protein complexes based on this algorithm.

In the framework of the diagrammatic approach, the total cross section of near-threshold π^– photoproduction on the deuteron is calculated. Contributions of the diagrams corresponding to the plane wave impulse approximation as well as to NN- and πN-interactions in the final state have been taken into account. We have compared the theoretical predictions with the results of the recent measurements performed at the MAX IV laboratory of the Lund University. There is good agreement with the data at photon energies from 147 to 155 MeV. However, at 158 and 160 MeV, the theoretical predictions significantly overestimate the measured cross sections.

Hydrogel negatively charged (–13.5 ± 5.0 mV) calcium pectinate nano- and submicroparticles (50–150 nm) were obtained. A technique for entrapment of a plant growth regulator (trans-cinnamic acid) in the particles up to 40 wt. % has been developed. It has been established that the complete release of trans-cinnamic acid in the Murashige–Skoog medium takes 2.5 hours. The obtained particles of calcium pectinate do not affect the growth processes of cells in suspension culture and can be used as neutral carriers for growth regulators.

The connective tissue sheaths of paravertebral tendons (peritenons) of white laboratory rats treated with silicon dioxide and hyaluronic acid were studied. It was found that peritenones are natural composites with orthogonal anisotropy with a developed system of interstitial porous membranes that regulate tissue hydrodynamic flows. The extracellular matrix of peritenons contains carbonate-hydroxyapatite and calcium hydroxide in the amorphized state. Silicon dioxide and hyaluronate form hydrophobic silicate and hyaluronate coatings of collagen fibrils (encapsulation), strengthen bonds in Amides I, II, III, reduce the intensity of the bands of bound hydroxyl and stretching vibration bands of phosphate groups, which indicates the replacement of OH groups with carbonate ions and the suppression synthesis of hydroxyapatite. A key mechanism for reducing the intensity of apatitogenesis is the encapsulation of collagen fibrils, accompanied by screening the centers of epitaxial interactions that are structured during heterogeneous nucleation of calcium phosphates. In SBF biomimetic fluid, the deforming effect of modifying agents is leveled, but hydration and decomposition of fibrillar collagen increase. Moreover, against the background of excess supply of exogenous phosphates and carbonates from SBF, apatitogenesis in peritenons is carried out mainly by the mechanism of homogeneous nucleation.

One-pot synthesis of cyclic β-dicarbonyl synthons for 11-deoxyprostanoids has been developed on the basis of cyclopentane-1,3-dione and 5-phenyl tetronic acid. The obtained 2-alkyl(arylalkyl)-substituted cyclopentane-1,3-diones have been transformed into cyclopentenone precursors of 11-deoxy-PGE 1 and 11-deoxy-PGE 2 analogues.

Mitochondrial carrier homolog 2 (MTCH2) is a protein that plays an important role in the execution of apoptosis being a receptor for tBid in the outer membrane of mitochondria. Previously, it has been shown that the binding of the modulator of apoptosis-1 (MOAP-1) protein to MTCH2 is required for the efficient MTCH2-mediated recruitment of tBid to mitochondria and, in contrast, tBid is required for the MOAP-1 recruitment to mitochondria, but the structure understanding of these phenomena is absent. In this study, we have provided structural insights into the mechanisms of regulation of the MTCH2 receptor function for tBid by MOAP-1.

We evaluated the rate of polymorphism of doubled haploid lines of hexaploid triticale obtained by the method of anther culture based on hybrids of spring and winter types. Using 7 SSR markers for the loci on the chromosomes A- (Xgwm186, Xgwm291, Xgwm595) and B- (Xgwm371, Xgwm540, Xgwm554, Xgwm234), polymorphism of 38 doubled haploid lines of hexaploid triticale was studied. Interlinear polymorphism along six microsatellite loci except the Xgwm554 locus, which is not polymorphic in the studied doubled haploid lines, was revealed. The highest polymorphism was observed for the Xgwm186, Xgwm291 and Xgwm595 loci. The cluster analysis showed that all studied lines were divided into three main groups. The origin of the lines did not affect the distribution in groups. This confirms the influence of in vitro culture somaclonal variation. Eight lines of doubled haploids, which are heterozygous for one of the studied microsatellite loci, were identified. We showed the possibility of using SSR markers to assess interlinear polymorphism and the homozygosity rate in the triticale doubled haploid lines obtained by the method of induced androgenesis in vitro.

The genes of the major histocompatibility complex (HLA) play a significant role in the genetic predisposition to juvenile idiopathic arthritis (JIA) and determine up to 18 % of disease risk. This work was aimed to reveal associations of the HLA characteristic pattern with two clinically different forms of JIA in the Belarusian population. 24 patients diagnosed with systemic JIA, 24 patients with oligoarticular JIA and 24 healthy controls were included into the study. High-throughput HLA typing for 11 loci was performed using TruSight HLA v2 Sequencing Panel (Illumina) on the MiSeq system. DQB1*04:02:01 (p = 0.026; OR 5.88 [1.20–28.72]), DRB1*08:01:01 (p = 0.07; OR 3.94 [1.01–15.39]) and DR8-haplotype (p = 0.006; OR 3.95 [1.34–11.63]) frequencies were significantly higher in patients with oligoarthritis but not systemic JIA when compared with controls. While DQA1*05:01:01 and DQB1*02:01:01 alleles showed a protective effect against both systemic (p = 0.007, OR 0.08 [0.009–0.65]; p = 0.01, OR 0.09 [0.01–0.83]) and oliarticular JIA (p = 0.026, OR 0.16 [0.03–0.79]; p = 0.046, OR 0.2 [0.04–1.00], the negative association of the DRB1*03:01 allele was revealed only for systemic JIA (p = 0.03, OR 0.11 [0.01–0.88]). Thus, the obtained results suggest that different HLA-patterns are involved into the formation of various JIA subtypes.

Some features of recent geodynamics are presented. Special attention was given to those processes that cause evident deformations of the natural and antropogenic complexes, result in the damage to properties, and exert an adverse effect upon the health of the population. The spatial distribution of such processes is sketched, and some their quantitative characteristics are provided. It was concluded that the extremal features of recent geodynamics could be considered as the natural or natural-antropogenic dangers of the lithosphere class.

The article analyzes the relationship between the forest cover and the amount of summer rainfalls in Belarus. We found that the spatial structure of the long-term precipitation field in Belarus is largely explained by the spatial features of its forest cover. In particular, the high forest cover in summer time provides 5–15 % more rain falls than that without forest. We also showed that the extremely dry period from 2014 to 2015 led to a significant transformation of the summer rainfall field. As a result, the field becomes almost the mirror opposite to the summer air temperature field. This indicates the important role of local evaporation in the formation of precipitation in the summer months. The important conclusion of the results is that additional forest stands are needed to prevent a further decrease in the level of surface and ground waters in Belarus. We also need to increase the use of agroforestry techniques in crop cultivation.

The electrical characteristics of composite materials based on iron powders ASC 100.29 (Sweden) were investigated. The surface of powders is encapsulated by an insulating ferrite coating. The conductivity and the thermopower were studied, the cores were made by the pressing method, and then the samples were cut from the cores. The results show that the decrease in the electrical resistance with increasing temperature is due to a change in the contact between the grains in the sample. A change in the boundaries between grains (or domains) creates the conditions for formation of a new magnon, which affects the thermopower coefficient value. The research results can be used in the synthesis of composites with specified electromagnetic characteristics for practical applications.

In recent years the interest to silicides significantly rose relating to their huge potentialities as the material of the low-Ohm contacts and interconnections of metallization of the silicon integrated circuits. In view of this the necessity appeared to consider more extensively the thermal dynamic, electric and structural peculiarities of their formation. Purpose of the work was in investigation of influence of the rapid thermal treatment on the structural –phase junctions in the system of Pt–Si during formation of platinum silicide. As samples, the Pt films were used, 43.7 nm thick and applied on the substrates of the mono-crystal silicon KEF КЭФ 0.5 with orientation (111) by means of the magnetron sputtering of the platinum target with purity of 99.95 % on the unit MRS 603 with the cryogenic pumping to the pressure not worse, than 5 · 10^–5 Pa. As the operating medium, argon was used, whose purity constituted 99.933 %. Rapid thermal treatment was performed in the nitrogen medium within the temperature range from 200 to 550 °С with a step of 50 °С and the time period of 7 s. The process of interaction of platinum with silicon during treatment of the Pt–Si system was evaluated by means of the analysis of the RBS spectra. It is demonstrated, that within the temperature range of 200 °С ≤ Т ≤ 300 °С during 7 s of the rapid thermal process on the boundary of the metal film with the substrate, formation takes place of the Pt₂Si layer owing to diffusion of the Pt atoms into silicon via the layer of the growing silicide. The temperature Т = 300 °С is peculiar for the complete application of the Pt film during 7 s in process of the silicide formation of the single phase system of Pt₂Si. At 350 °С ≤ Т < 450 °С formation is registered of the double phase system of Pt₂Si → PtSi, starting from the inter-phase boundary of Si/Pt₂Si predominantly owing to the opposite diffusion of the Si atoms into the layer of Pt₂Si. The temperature of the rapid thermal treatment Т = 450 °С marks formation of the thermally stable balanced structure of PtSi along the entire silicide thickness, which is 50–100 °С lower and considerably more rapid, than during the long-term balanced thermal treatment.

The genealogical breed structure is represented by 5 main factory lines: Zubr, Zenit, Zaslon, Zont, Zefir. The genealogical structure of the Belarusian meat breed is formed using the generally accepted selection methods, including the assessment by pedigree, strict selection, targeted selection, the assessment of replacement young by productivity on elevers, the assessment of boars and queens by the offspring quality using the control feeding method. The targeted breeding work with herds of Belarusian meat breed pigs during a long period of time according to the long-term target program allows us to obtain large boars and queens that are characterized by the meat-type body. When assessing boar-producers of the Belarusian meat breed aged 36 months and older in all farms the values of the body live weight and length were on the average 305.3 kg and 179 cm respectively. As a result of studying the reproductive qualities of animals, it is established that, on the average, in the queens selected into the leading group in all farms, the indicators of prolificacy, the weight of one young pig at birth, the number of young pigs aged 21 days and milking ability were 11.74 animals and 1.11 kg, 10.06 animals and 54.34 respectively. The highest growth rate from birth to a live weight of 100 kg was seen in the Zefir line animals – 550 g. The indicator of the growth in reaching a live weight of 100 kg was 181 days. The superiority over the mean indicators of animals of all lines according to these traits was 10.7 days, or 5.6 % and 31 g, or 6.0 % respectively. The Zalon and Zenit line offsprings were inferior to the boars of the rest lines in terms of the growth in reaching a live weight of 100 kg by 2.8–19 days. Their indicators of the daily average growth from birth to a live weight of 100 kg also appeared to be, on the average, lower by 6–49 g. The differences in the Zaslon line boars were confident (р ≤ 0.05).