On the Stability of a Solution of a Guarantee Optimization Problem under a Functional Constraint on the Disturbance

The paper deals with a control problem for a dynamical system under disturbances. In addition to geometric constraints on the disturbance, it is supposed that all disturbance realizations belong to some unknown L1-compact set. The control is aimed at minimization of a given quality index. Within the game-theoretical approach, the problem of optimizing the guaranteed result is studied. For solving this problem, we use a control procedure with a guide. The paper is focused on the questions of stability of this control procedure with respect to informational and computational errors. The results are illustrated by numerical simulation. © 201

Evaluation of biomarkers in the studies of keloid tissue after laser therapy

In this paper, we discuss what biomarkers to choose if there is a need to describe the results of laser therapy targeting keloid skin. We elevate the known cytomarkers (Krt14, Lgals7, Krt5, Dcn, Lum, Igfbp5, Cd31, Vwf, Stambpl1, Uqcrb, Cd3 and Acta2), biomarkers of the inflammatory response (Cd45/Ptprc, Adgre1, Ly6g, Il1b, Il4, Il13, Il22, Cxcl2 и Ccl17), as well as the proteins of extracellular matrix (type I and III collagens; precursors of COL5A1 and COLA1A; FTL, COL3A1, PGLS, CNN2, ANXA2, TPSAB1, COL12A1, precursors of APCS and ALB), and their encoding genes (FGF7, BAX, CCND1, MMP3, MMP9, CXCL1, -2, -5, -6 and -12; IL8, S100A7 and IL1A), those expression and co-location may potentially change the appearance and internal structure of damaged skin. We also describe how to choose biomarkers using the results genomic studies and their limitations. Moreover, we provide examples of how different groups of gene and protein biomarkers are used in experimental biology and clinical practice. According to the previously published data, well-known biomarkers verified on animal models, depend on their biological effects, let to characterize structural changes and changes in the composition of cells represented at the site of damage before and after the treatment. In addition, the published experimental and clinical data provide an opportunity to analyze the efficiency of new experimental approaches and compare them to each other

Ground-based acoustic parametric generator impact on the atmosphere and ionosphere in an active experiment

We develop theoretical basics of active experiments with two beams of acoustic waves, radiated by a ground-based sound generator. These beams are transformed into atmospheric acoustic gravity waves (AGWs), which have parameters that enable them to penetrate to the altitudes of the ionospheric E and F regions where they influence the electron concentration of the ionosphere. Acoustic waves are generated by the ground-based parametric sound generator (PSG) at the two close frequencies. The main idea of the experiment is to design the output parameters of the PSG to build a cascade scheme of nonlinear wave frequency downshift transformations to provide the necessary conditions for their vertical propagation and to enable penetration to ionospheric altitudes. The PSG generates sound waves (SWs) with frequencies f1 = 600 and f2 = 625 Hz and large amplitudes (100-420ms-1). Each of these waves is modulated with the frequency of 0.016 Hz. The novelty of the proposed analytical-numerical model is due to simultaneous accounting for nonlinearity, diffraction, losses, and dispersion and inclusion of the two-stage transformation (1) of the initial acoustic waves to the acoustic wave with the difference frequency Δf = f2 - f1 in the altitude ranges 0-0.1 km, in the strongly nonlinear regime, and (2) of the acoustic wave with the difference frequency to atmospheric acoustic gravity waves with the modulational frequency in the altitude ranges 0.1-20 km, which then reach the altitudes of the ionospheric E and F regions, in a practically linear regime. AGWs, nonlinearly transformed from the sound waves, launched by the two-frequency ground-based sound generator can increase the transparency of the ionosphere for the electromagnetic waves in HF (MHz) and VLF (kHz) ranges. The developed theoretical model can be used for interpreting an active experiment that includes the PSG impact on the atmosphere-ionosphere system, measurements of electromagnetic and acoustic fields, study of the variations in ionospheric transparency for the radio emissions from galactic radio sources, optical measurements, and the impact on atmospheric aerosols. The proposed approach can be useful for better understanding the mechanism of the acoustic channel of seismo-ionospheric coupling

Influence of Solar Activity on the Ecological Processes of the Naturally-Protected Territories of Westrn Polesie: Problem or Hypothesis?

Наведено результати експериментальних досліджень та аналізу деяких проявів сонячної активності та геоефективної реакції на них низки біотичних та абіотичних компонентів біогеосистеми природно-заповідних територій Західного Полісся, виконаних з використанням сучасних інструментальних засобів (декаметровий радіотелескоп УРАН-3, транскордонна мережа моніторингу ґрунтів, цифрова метеостанція тощо) та наземних спостережень змін стану цих компонентів. Розглянуто вплив довготривалих циклічних геліопроцесів на екологічні процеси і вплив спорадичних короткотривалих компонентів сонячної активності, які обумовлюють геомагнітні збурення та збурення природного атмосферного інфразвуку в біогеосистемі. Results of experimental researches and analysis of some solar eruptive events and geo-efficient reaction on them of row of biotic and abiotic components of the West Polesie naturally-protected territories biogeosystem executed with the use of modern tools (decameter radio-telescope URAN-3, transboundary network of soils monitoring, digital weather-station and others like that) and ground-based supervisions of changes of these components state, have been presented. Influence on the ecological processes of the long-term cyclic helio-processes and influence of the short-term sporadic solar eruptive events, which cause the geomagnetic and infrasound activity in the biogeosystem, are consideredРоботу виконано у Фізико-механічному інституті ім. Г. В. Карпенка НАН України та Львівському центрі Інституту космічних досліджень НАН України та НКА Україн

Fixed duration pursuit-evasion differential game with integral constraints

We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize it. Optimal strategies of the players are constructed, and the value of the game is found. It should be noted that energy resource of any pursuer may be less than that of the evader

Analysis of changes in blood flow oscillations under different probe pressure using laser Doppler spectrum decomposition

Presently, in the modern laser Doppler flowmetry (LDF) the distribution of blood perfusion and its changes along the Doppler shift frequencies are simply ignored and/or not properly addressed. Utilizing the registered power spectrum of photocurrent, we introduce an LDF signal processing approach suitable for expanding of diagnostic capabilities of the technique. In particular, we demonstrate that it is possible to determine how the oscillations of blood flow (cardiac, breathe, myogenic, etc.) are distributed along the Doppler shift frequency. Wavelet analysis is utilized to extract the oscillations corresponded to the particular frequency sub-bands of blood perfusion. The main purpose of this study is to identify influence of local pressure by fiber optic probe on cardiac oscillations and their distribution along frequency of Doppler shift

Исследование взаимодействия дипептидного миметика нейротрофина BDNF ГСБ-106 с тирозинкиназным рецептором TrkB с помощью технологии поверхностного плазмонного резонанса

The interaction of the neurotrophin BDNF dipeptide mimetic, compound GSB-106, with the tyrosine kinase TrkB receptor specific for the fullsized neurotrophin was studied using surface plasmon resonance. The significant decrease in the binding of BDNF to TrkB, which was preincubated with GSB-106, was shown. The obtained data indicate the interaction of GSB-106 with the TrkB receptor.Методом поверхностного плазмонного резонанса изучено взаимодействие дипептидного миметика нейротрофина BDNF ГСБ-106 со специфическим для полноразмерного нейротрофина тирозинкиназным TrkB рецептором. Показано достоверное снижение связывания BDNF с TrkB, который был предварительно проинкубирован с ГСБ-106. Полученные данные указывают на взаимодействие ГСБ-106 с TrkB-рецептором

Application of Geoinformation Technologies for Assessment of the Epizootiological and Epidemiological Situation on Anthrax in the Volgograd Region

Objective of the study was to assess the epizootiological and epidemiological situation on anthrax in the Volgograd Region in the period of 1920–2019, to zone the territory according to the degree of disadvantage as regards anthrax using geographic information technologies. Materials and methods. The reporting data of the Rospotrebnadzor Administration, Veterinary Committee in the Volgograd Region, and literature sources were studied. ESRI-ArcGIS 10 software was used as a GIS-platform. Epizootic index was applied in the zoning according to the degree of disadvantage regarding anthrax in the territories of the region. Results and discussion. Currently, 529 stationary potentially hazardous as regards anthrax areas have been registered in 33 districts of the Volgograd Region, 53 anthrax burial sites are accounted for in 20 districts. During the period of 1970–2019, 226 cases of infection of farm animals and 37 cases of anthrax among humans were detected. Most of the stationary potentially hazardous as regards anthrax areas (347 sites, 66 %) were formed in 1930–1949. Maximum activity was observed in 1930–1959. The zoning of the territory of the Volgograd Region was carried out using ESRI-ArcGIS 10 software, as a result of which the municipal districts were divided into four groups according to the degree of disadvantage regarding anthrax. The potential of different soil and landscape zones in the persistence of the anthrax microbe was studied. It has been found that chernozem, chestnut, dark-chestnut soil types, which occupying more than 50 % of the total region area and predominate in the zones of moderately arid and dry steppes, alongside alluvial meadow soils of river valleys, floodplains of rivers are very favorable for the persistence of the anthrax pathogen. The territory of the Volgograd Region is endemic for this infection and epizootiological and epidemiological well-being in the region largely depends on the completeness and timelines of preventive measures. The use of geographic information technologies provides a comprehensive analysis of the infection activity manifestations with reliable improvement of the anti-anthrax surveillance system and control in making differentiated managerial decisions