In chemical synapses an action potential depolarizes presynaptic membrane and opens voltage-gated calcium channels after which calcium influxes to the cell. Studying of calcium influx in nerve ending is an important step in understanding of signal transmission in neuromuscular junction. Our laboratory uses a method for recording of calcium transient in a photometric setup, which involves recording series of images in order to obtain a signal. The image processing technique currently in use involves making decisions based on our experience in identifying the area of ​​registration of a useful signal. The idea of this work is ​​creating of algorithm for analyzing experimental data which allows minimal participation of the experimenter. The idea based on the use of computer vision methods (OpenCV), provides the correct detection of nerve endings on experimental fluorescence images. The image processing algorithm includes the following steps: noise reduction; morphological transformations erosion and dilatation; a composite set of masks for different time points and their subsequent combination into one mask using image binarization by Otsu. The result of this work is an algorithm used to process experimental images, providing a strictly defined reproducible procedure, devoided of inaccuracy, introduced into experimental image processing.

Keywords: synapse, neuromuscular junction, computer vision, calcium, photometric setup, fluorescent dye

This article investigates methods to combine multiple data-driven models for forecasting time series. This is done in order to increase the accuracy of forecasts according to the historical error signal, such that it minimises downstream costs of forecast errors.

Keywords: time series, combination of models, accuracy assessment, forecasting, forecast accuracy

Currently, in the design and manufacture of steel products operating in conditions of heavy impact-abrasive wear, not only material is given, but also the structure of the product itself. One such detail is the friction wedge of a freight wagon trolley. In the presented work, a new design of the friction wedge of the vibration damping unit is presented; technical calculations are carried out on the strength of the presented design. The safety factors of spring suspension are calculated. All calculations were performed according to the standards for the calculation and design of new and modernized railroad cars of the Ministry of Railways 1520 mm gauge. The performed calculations indicate the high performance of the developed design, the obtained values ​​fully satisfy the requirements for such products. The result of the work on creating a new design of the friction wedge of the vibration damping unit is to obtain a patent for utility model No. 194823, a drawing has also been developed (KI-000.00.00.001) and terms of reference for experimental design work (KI-000.00.00.001 TK).

Keywords: friction wedge, vibration damping unit, freight car truck, strength, reliability, durability, calculation of spring suspension, static deflection of spring suspension, coefficient of structural margin of deflection, coefficient of relative friction

The article considers the task of combating the opportunistic behavior of a supervisor and agents in a river water quality control system. A three-level hierarchical model is being built, including the principal, supervisor and agent. Each of the entities seeks to maximize its objective function. The motivation method is used as a control method at both levels. The behavior of the system in the case of information regulations of the Stackelberg game is investigated. The substantiation of the derivation of functions used in the model is given. The results of model simulation under various initial conditions are demonstrated. An analysis of the results is given.

Keywords: Stackelberg balance, three-level system, motivation, imitation, opportunistic behavior, river water quality, hierarchy

In the paper, we propose a new efficient method for pricing barrier options in stochastic volatility models that can admit jumps. We use "local consistency" arguments to approximate the variance process with a finite, but sufficiently dense Markov chain. It results in a regime-switching Levy model with the dimension of the problem reduced by 1. In the regime-switching settings, we need to solve a system of partial integrodifferential equations subject to appropriate boundary conditions. To efficiently compute option prices conditioned on the variance states, we use an efficient numerical Wiener-Hopf factorization method. The method can be applied for the case of the Heston and the Bates models and other stochastic volatility Levy processes. Numerical experiments show that the approach suggested is in a good agreement with hybrid finite difference schemes and Monte Carlo simulations.

Keywords: mathematical modeling, options, numerical methods, Markov chains, stochastic volatility, Heston model

The results of the study of fluctuations of the center of mass of the car UAZ "Hunter" during its movement on the support surface with different height of road irregularities: asphalt-concrete surface and off-road are given. The study uses Simulink simulation.

Keywords: Center of mass fluctuations, vehicle, simulation, Simulink

In modern technology, long inter-bearing rotors are widely used. These are augers with stiffer suspension - the propellers of rotor-screw machines. Screw augers - the working bodies of snowplows. The static and momentary imbalance of the support rotor in this case leads to a serious imbalance in the operation of all mechanisms. There is a need for vibration and noise reduction when operating machines equipped with long screw rotors. The basic rule in the design and calculation of long screw rotors is to ensure their balanced operation. The tasks of the presented surveys are the derivation of the equations of dynamics of long inter-bearing rotors in order to reduce vibration loads on their supports.

Keywords: dynamics, long screw rotor, auger, vibration, balancing, balance, dynamics equations

In this article, in terms of the language queueing networks, the problem of finding the optimal values for average system response time for requests from all users for distributed information processing systems that are implemented based on the architecture "file-server", double-tier and three-tier architecture "client-server" at a fixed downtime cost, including the cost of idle users the value of the idle transmission channel, and the cost of downtime service nodes. An algorithm for solving this optimization problem is presented.

Keywords: Distributed information processing system, file-server architecture, two-level client-server architecture, three-level client-server architecture, state space, average system response time, loss cost, stationary probabilities

The article introduces the definition of robot hypnosis and the definition of a hypnotist robot, as well as the determination of the suggestibility coefficients of a robot; mathematical models and the algorithm of the hypnotic state of robots based on the mathematical theory of emotional robots are given; ways to ensure the safety of robots for humans and personal devotion of the robot to a particular person are proposed. Both methods are based on the proposed hypnosis models.

Keywords: robot, hypnosis, emotional education of the robot, a group of robots, the subconscious of the robot, mathematical models, robot safety, personal devotion of the robot

The articlegives an econometric analysis of the volume of the Customs payments for imports of the group 25 “Salt; sulfur; soils and stone; plaster materials, lime and cement” of the Customs Nomenclatureof the foreign trade activities of EAEU, the Customs declaration of which is carried out in the region of the Rostov Customs office operation. For the purpose of forecasting, a multiplicative model of the series is constructed based on monthly data from 01.01.2017 to 31.10.2019. The apparatus of fictitious variables is used to obtain the trend equation. A forecast is made on the basis of the received model.

Keywords: import, Customs payments, econometric model, trend, seasonal component, fictitious variables, multiplicative model, forecast

The article is an overview of the problem of providing the thermal regime of radio-electronic equipment of launch vehicles and describes the need to develop a method of resource-intensive (from the point of view of computing resources) and accurate assessment of the thermal regime of radio-electronic equipment. The method involves the use of the finite element method and is a sequential use of the software packages "ANSYS" and "ASONIKA-TM" for calculating the temperature field that occurs during operation of the device

Keywords: Thermal processes, heat exchange, control system, launch vehicle, finite element method, FEM, ANSIS, ASONIKA-TM, radio-electronic equipment, REA, electro-radio products, ERI

The article is devoted to research of thermofluctuation processes of insulating materials of power cable lines (SCR) of electric power systems. It was established that an artificial neural network (ANN) can be used to compile a forecast of the temperature regime of a current-carrying core with an accuracy of 2.5% of the actual value of the core temperature. The comparison of the predicted values ​​with the actual ones allows us to talk about the adequacy of the selected network model and its applicability in practice for reliable operation of the cable system of power supply to consumers. The development of an intelligent system for predicting the temperature of the core SCR contributes to the planning of the operating modes of the power grid in order to increase the reliability and energy efficiency of their interaction with the integrated power system.

Keywords: Neural networks, thermofluctuation processes, insulation materials, neural network architecture

The article presents a description of the computational model and the results of modeling the stress-strain condition of cable-stayed structures. The calculations are performed in a geometrically nonlinear formulation.

Keywords: stress-strain condition, cable-stayed structure, geometric nonlinearity, flexible cable system, spatial framed system

The use of spacecraft identification systems can increase the informational secrecy of low-orbit spacecraft constellations. However, existing methods of recognizing "friend or foe" do not provide high cryptographic strength, and authentication protocols with zero disclosure are time-consuming. This drawback can be eliminated through the use of Polynomial Residue Number Systems (PRNS) that allows parallel computing in the protocol. Therefore, the development of a high-speed authentication protocol with zero disclosure is an urgent task. The purpose of the work is to reduce the time required to calculate the status of the satellite through the use of PRNS

Keywords: authentication method, spacecraft authentication protocol, Polynomial Residue Number Systems

When solving some complex physical problems, it is necessary to take into account the nuances of the environment, for example, calculating the trajectory of the barrel or wheel rolling down hilly terrain. Generating a slide that passes through control points and obeys certain requirements, followed by visualization, is the topic of this article.

Keywords: unity, 2D, visual modeling, landscape, Lagrange interpolation polynomial

The article provides an improved numerical method for solving a forest road network automated planning problem. Method based on a graph mathematical model with a reduction to the Steiner tree problem. The original model is formulated as a linear programming stream problem and is supplemented by taking into account the existing transport network as an addition Steiner vertex. The results of testing the method suggest significant reduction in the running time for big data without considerable quality loss.

Keywords: wood harvesting, forest road network, graph theory, optimization, Steiner problem in graphs, linear programming, local search

The main approaches to the choice of methods of information backup and justification of the volume and frequency of copying are justified. Probabilistic – based on the time of critical changes in information and analog – based on the mathematical apparatus of inventory management problems-based on the total cost of copying and storing information

Keywords: backup, copying methods, frequency of copying, relevance of information, inventory management tasks

The article provides a comparative analysis of information systems for the computer-aided formation of educational and methodological support of a university according to the criterion of functional completeness. The analysis made it possible to systematize information on the functional completeness of software, to rank existing systems by the criterion of functional completeness, and to identify groups of similar systems. The effectiveness of the integration of educational and methodological information systems was studied to minimize the labor costs of university teachers.

Keywords: university, educational-methodical software, comparative assessment, functional completeness, automation, integration

The article describes the specifics of OOP concepts implementation in the open source projects that contain address book model in comparison to OASIS UBL Party Reference model. The open source software analysis is performed using the formal criteria for evaluating the matching between open source project models and reference model based on quantitative characteristics, conceptual graph transformation and cluster analysis. First, the scope coverage, elaboration factor and structural connectedness were calculated based on model parameters. Second, the domain models were represented as conceptual graphs and they were compared based on semantic equivalence. And third, the model was clustered into four subdomains, and quantitative characteistics were evaluated separately for each cluster. Based on the experimental results of model analysis the authors propose methods to reduce the conceptual mismatch between reference model and project models.

Keywords: OOP, semantic analysis, reference model, OASIS UBL, conceptual graph, cluster analysis

A new closed solution of the related dynamic problem of thermoelastic for a long cylinder in case of temperature change on its faces (boundary conditions of the 1st kind) has been built. The mathematical formulation of the problem in question includes linear equations of motion and thermal conductivity relative to the radial component of the displacement vector, as well as functions of temperature field change. To solve the problem, a mathematical apparatus is used to separate variables in the form of a generalized final integral transformation (instrument). The constructed design ratios make it possible to determine the stress-deformed state and temperature field of the elastic element under arbitrary temperature external influence. The influence of the rate of change of load and physical properties of the material on the inertial properties of the elastic system has been analyzed, as well as the parameters at which it is necessary to take into account the connectivity of mechanical and temperature fields have been determined.

Keywords: Long cylinder, associated thermoelastic problem, transient temperature impact, final integral transformations

This article discusses the problem of network authentication of a client when a functional web-system consists of various services, each of which is represented by a separate site. Particular attention is paid to Single Sign On technology - a single entry point as a way to achieve centralized authentication. A comparison of tools that provide a single input is given, and a conclusion is made about the best of them. Based on the research, the author proposes the Gluu single entry point server as a server that satisfies all the requirements of the functional service system presented in the example, and also able to work within the framework of popular authentication protocols.

Keywords: functional service system, authentication, authentication protocol, single entry point, single entry point server, comparative analysis

Data integration between different geographic information systems can be achieved with the interchange by the open data formats. GIS data of an area spatial type being batch-exported from the interchange files require a waste amount of manual work aimed on exploring each erroneous spatial object for all of it's topology errors. The algorythmic solution for automatic localization of topology errors is proposed, it's novelty and the enhancement potential are described.

Keywords: urban planning, thematic map, geographic information system, ObjectLand, data integration, interchange format, error reason, incorrect polygonal object, planar points' clusterization, K-medoid

The article substantiated the need to create electronic models of heating systems using BIM and GIS technologies. It is indicated that the original model data is needed correctly. The theoretical basis for determining the specific drop in pressure in thermal networks is given and its functional dependence on the size of the equivalent absolute roughness of the pipeline walls is established. The dependence of the change in the equivalent absolute roughness on the life of the pipeline is given. References to literature containing the most complete base of values equivalent to absolute roughness are given. A combined hydrometric graph of the hydraulic heating system modes at different values of the equivalent absolute roughness is given. Recommendations for verification of the electronic model have been given.

Keywords: electronic model, hydraulic mode, pressure drop, heat carrier, hydraulic friction factor, equivalent to absolute roughness, verification

"The article is devoted to solving the problem in the field of development of methods and means of automation of evaluation of training efficiency on computer simulators, which are used for the training of operators of production processes. Approaches to assessing the effectiveness of training are given in many scientific studies on the creation and application of computer simulators. However, the problem of automation of the process of this assessment on the basis of the simulators themselves is not sufficiently considered. The evaluation methodology (based on mathematical statistics methods) and the prototype subsystem of the computer simulator complex were proposed to solve the indicated problem. They reduce the effort of the expert responsible for performance evaluation. Output results can be used for training operators in educational organizations. The reported study was funded by RFBR according to the research project № 18-38-00835. "

Keywords: computer simulator, mathematical statistics methods, efficiency of training process, automation of training process

Interdisciplinary is a fundamental category of functioning of all systems of modern science, it is achieved through convergence and becomes a new form of educational environment. The article presents the conceptual foundations of complex modeling of a holistic system of training of a specialist of an engineering university, updating interdisciplinary requirements to educational results. The methodology of the system approach, which allowed to develop a universal algorithm of disciplinary synthesis of all training cycles, was chosen as the national scientific basis of the study. As a result of solving the problem of functional adaptation of the educational model, an information model of interdisciplinary connections is formed on the basis of integrative parameters. As a didactic product of interdisciplinary integration are interdisciplinary cycle complexes, the algorithm of functioning of which is controlled by the methodology of construction and development of the general phylosophical category "scientific picture of the world." It has been shown that the inclusion of methodological bases of this category in the process of organizing the integrity of the engineer 's training provides forms of synthesis of scientific knowledge at all levels of the educational environment - internal, interdisciplinary and transdectoral. In this way the idea of convergence of the content of education as a means of increasing the level of integration is realized, which directly correlates with the fundamental goal of engineering training - formation of a holistic worldview and scientific outlook of the future specialist. An example of methodological organization of the educational process of the engineering university within the framework of the interdisciplinary approach is given.

Keywords: educational model, design algorithm, system modeling strategy, functional model adaptation, control algorithms, interdisciplinary, knowledge convergence levels