The purpose of research is to create a mathematical model that allows us to calculate the dependence of the viscosity coefficient of a liquid on the temperature over a wide temperature range with the necessary relative error.

 Methods. The method of nonlinear search and least squares was used as the basic methods. In the process of studying the dependence of liquid viscosity on temperature, a mathematical model was created, implemented in the form of a semi-empirical formula, which is an exponential-power form of the dependence of liquid viscosity on temperature. Analysis of the structure of the mathematical model showed that the resulting model is nonlinear. The use of only nonlinear search algorithms does not guarantee an unambiguous solution of the problem, which is due to the possible presence of several local extremes of the mathematical model, i e. its different sensitivity to changes in individual desired model parameters. The least squares method, which is usually used to solve linear mathematical models, does not have the disadvantages of non-linear search methods. In this case, there are several mathematical models that have a higher simulation accuracy for their temperature range.

Results. In the course of studying the mathematical model implemented in the form of a semi-empirical formula, a generalized algorithm for solving the problem was developed, combining nonlinear search and the method of least squares. The program in C++, created according to the developed algorithm, showed acceptable efficiency - a fairly high speed and stability of the solution. The sum of squared deviations of the experimental values from the model values was used as an objective function for identification. The results of numerical calculations showed that the relative error of the obtained models depends on the simulated fluid. So for water, where the dependence of viscosity on temperature is close to linear, the deviations of the model values from the experimental ones do not exceed two percent. Numerical simulations also showed that the higher the nonlinearity of the viscosity-temperature dependence (for example, for glycerol), the greater the deviations of some model values from the experimental ones. In such cases, the quality of the model can be improved by dividing the experimental data into two or more temperature segments. In this case, there are several mathematical models, each for its own temperature range, with higher modeling accuracy.

Conclusion. The conducted studies have shown that the presented mathematical model allows us to calculate the change in the viscosity coefficient of a liquid in a wide temperature range with a certain required relative error set in advance.

The purpose of research to analyze and compare the designs and useful parameters of the models which can be used in cochlear implantation systems in order to select the optimal design.

Methods. The article describes the work carried out in improving the utility models RU 198574, RU 196686, RU 2727227 and creating an external composite magnet. The authors analyzed composite magnets with a different number of magnetic elements (q = 4, 6, 8, 10), as well as the implementation of an internal magnet with and without filling the empty space with ferrofluid.

Results. This article describes the carried work to improve the utility models RU 198574, RU 196686, RU 2727227 to create the improved external composite magnet. The authors provide a model of a modified design of the body of the implantable part of the composite magnet to improve its characteristics. Also was developed an external magnet with cylindrical corpus and seats for cylindrical compound magnets located around the circumference. This design of both composite magnets prevents angular rotations of the composite magnets. This makes it possible to take into account the relative position of the supply and output wires to the receiving and transmitting antennas developing the electrical part of the implant. The article presents the results of modeling the magnetic field of composite magnets with various sizes of housings and magnetic elements. Schemes of the magnetic field distribution during the interaction of both compound magnets are presented in this manuscript as well as the forces of the attracting of the external part and implanted have been calculated. The authors provide a formula for calculating the maximum force of attraction of compound magnets, due to the blood pressure in the capillaries.

The purpose of research is to determine the possibility of using a resonant circuit to assess the presence of pores in the structure of a compound for explosion-proof equipment, this direction is one of the most promising at present.

Methods. In this work, a theoretical description of the occurrence of resonance in the oscillatory circuit is given, which indicates the possibility of using the resonant control method to determine the presence of pores in the structure of the compound. To determine the presence of voids in the compound, electrical parameters were examined by considering the electrical circuit. Based on the change in the resonant frequency of the RLC circuit, the possibility of a value judgment on the presence of pores in the structure of the casting compound is considered. Based on the change in the amount of dielectric substance between the plates of the capacitor, the change in its capacitance, the change in the resonant frequency is established.

Results. The experimental confirmation of the theoretical description, which is presented in the work, proved the correctness of the information presented. The authors describe the method for evaluating the presence of pores in the structure of the compound, developed by the authors, and the description of the equipment used for the developed method. A series of measurements was made to determine the frequency at which the resonance phenomenon is observed. A study of real samples of the compound was carried out. In the course of the experimental work, the dependence of the capacitance of the capacitor on the amount of the dielectric substance was established. Based on the knowledge about the capacitance of the capacitor, the possibility of a value judgment on the presence of pores in the structure of the compound used as a dielectric in a capacitor installed in an oscillatory circuit has been confirmed.

 Conclusion. Based on the results of the work carried out, conclusions were drawn about the use of the resonance control method to assess the presence of pores in the structure of the compound. The dependence of the change in the resonance frequency arising in the oscillatory circuit on the homogeneity of the compound substance used as a dielectric in the capacitor has been established and proved.

Purpose of research. Development of a method for generating descriptors for neural network classifiers of medical risks based on the analysis of transients in biomaterial in an in vivo experiment.

Methods. The essence of the proposed method consists in the formation of test effects of the probing current on anatomical areas with abnormal electrical conductivity and obtaining the amplitude-phase-trequency characteristic of the impedance of the biomaterial on which the test effect was carried out. The coordinates of the Cole graph of the biomaterial were used as descriptors. The Cole graph is obtained on the basis of the Carson transformation of the transition process samples in a four-pole array, the element of which is the impedance of the biomaterial under study. A sequence of unipolar rectangular pulses was applied to the input of the quadrupole.

Results. On the basis of the E20-10 data collection system manufactured by L-Card, a software and hardware complex has been developed for digitizing transients in four-pole devices, the element of which is the biomaterial impedance in anatomical areas with abnormal electrical conductivity. Software has been developed for the formation of test effects and digitization of signals that are the reaction of the biomaterial to these test effects. A theoretical model of the transition from the samples of the transition characteristic of a quadrupole with a biomaterial impedance element to the Cole graph of a biomaterial is proposed.

Conclusion. It is shown that the linear model of the biomaterial impedance allows us to obtain descriptors based on its amplitude-phase-frequency characteristic, which take into account the dissipative properties of the biomaterial. Obtaining a model of the Cole graph, taking into account its dissipative properties, allows us to build classifiers of medical risk for socially significant diseases.

The purpose of reseach is to improve the quality of adaptation of electronic resources for people with disabilities, collected in one software. In everyday life, people with disabilities face a number of problems, the essence of which is the communicative, psychological features in interacting with the environment, the availability of necessary physical objects, the environment (housing, transport). Most of these problems arise from social barriers between people with disabilities and society.

Methods. Methods of article recognition on websites are considered, areas of application, advantages and disadvantages, as well as extraction of information from internet resources using Ruby.

Results. To solve the problem stated in the article, it was decided to implement an internet browser with "reading mode" function, which allows to recognize the title of the article on the site, the body of the article, highlight them, thereby getting rid of unnecessary content on the page, for comfortable reading and navigation. This program also allows you to provide text content in an alternative form - voice form.

Conclusion. This paper provides systematic analysis of the communication problems of people with disabilities, systematic analysis of the problems, possibilities of their solutions. Federal and international draft laws for improving the quality of life for people with disabilities are considered. The classification of nosological groups of people with disabilities and the distribution of information technologies that facilitate the use of computers for each nosological group are also considered.

The purpose research. The problem of production and consumption waste generation is one of the main environmental problems of industrial society, while in Russia, the main method of waste disposal is still disposal at waste disposal sites (landfills, authorized and unauthorized dumps). A separate group of waste disposal facilities consists of spontaneous unauthorized landfills of solid municipal waste. The peculiarity of these ORS is the complexity of monitoring their formation and the problematic assessment of their impact on the environment and public health. Currently, there is no legally approved methodology for assessing the environmental and social risks of natural unauthorized landfills. For this purpose, the authors developed a method for rapid assessment of the risk of unauthorized landfills, based on comparing the actual characteristics of landfills obtained during field surveys of urban areas with certain table values. Approbation of the method showed the occurrence of abnormalities of the calculation associated with determining the hazard class of only one parameter, therefore the aim of the research is the development of the updated method, characterized by refined calculation algorithm class environmental disaster of unauthorized dumps, eliminating the occurrence of these anomalies calculation, as well as accounting for valuation of environmental damage to the earth's surface unsanctioned dumps.

Methods. The main methodological tool for the implementation of all stages of the research is the system analysis. The solution of particular research tasks is carried out by using object-oriented programming and geoinformation analysis. In addition, the dialectical method was used as a General scientific method of knowledge, methods of statistical and comparative analysis, as well as methods of induction and deduction.

Results: a method for rapid assessment of environmental and social risks of natural unauthorized landfills, which provides rapid results based on data from field surveys of urban areas, in which the initial accounting of landfills is carried out using an Internet portal that implements geoinformation technology.

Conclusion. The use of the Internet portal for rapid detection of natural unauthorized landfills, as well as the author's method and software implementing this method allows rapid assessment of the environmental and social danger of landfills based on data from field surveys of urban areas without laboratory measurements. The results obtained are intended for classifying natural landfills in order to develop plans for their elimination, taking into account the priorities of environmental policy

Purpose of the research is to improve the quality indicators of differential diagnosis of pyelonephritis in pregnant women while reducing the decision-making time by reducing the dimension of the feature space.

Methods. Differential diagnosis of such forms of pathology of pregnant women as serous pyelonephritis, purulent pyelonephritis and its transitional form belongs to the class of poorly formalized tasks. Exploratory analysis of the data structure presented by the urological department of the Kursk BSMP showed that according to the criteria of decision -making time-diagnostic quality, preference should be given to the method of synthesis of hybrid fuzzy models, combining the logic of L. Zadeh and E. Shortlif. At the same time, for a reliable diagnosis, it is enough to use data on the immune status of pregnant women.

Results. Using the chosen synthesis method, a system of fuzzy decision rules is obtained that combines E. Shortlif's iterative rules with the functions of belonging to the studied forms of pyelonephritis. Mathematical modeling and statistical tests of the obtained decision rules showed that in terms of the immune status, the diagnostic sensitivity, specificity and effectiveness in the classification of serous, purulent and intermediate forms of pyelonephritis exceed the level of 0.9.

Conclusion. In the course of research, it was found that for the differential diagnosis of forms of pyelonephritis in pregnant women by indicators of immune status, hybrid fuzzy models should be used with the aggregation of iterative models for assessing confidence in decisions made with membership functions. The obtained hybrid models have diagnostic sensitivity, specificity, and effectiveness higher than 0.9, which allows improving the quality of medical services provided to pregnant women with acute forms of pyelonephritis.

Purpose of research is to develop a model for automated determination of the Cobb angle and a method for automated non-X-ray estimation of the curvature of the vertebral column in two planes: frontal and sagittal, as well as to study the kinematics of the vertebral column during walking using the motion capture technology Antilatency.

Methods. This article proposes a method for identifying adolescent idiopathic scoliosis (PIS) by using the relationship between the kinematics of the spine during walking and the progression of PIS. We also consider a model for the Trentgen-free determination of the Cobb angle. This model is designed to be used in three interrelated cases:receiving getting the dynamics of the spine after taking a few steps; 2) automating the process of finding angles in two planes - sagittal and frontal; 3) definition determination of the presence or absence of curvature of the spine in two planes. The data set for the analysis was obtained with the help of 10 volunteers as a result of their passage in the Antilatency motion capture system.

Results. The result of this work will be the ability to automatically collect data on the dynamics of the upper vertebral region, as well as the study of possible deviations in the structure of the spine, which will be the first step towards building a digital axis of the spine.

Conclusion. In this study, we considered and developed a model for searching for the Cobb angle in two planes: sagittal and frontal, a method for non-X-ray assessment of the curvature of the spine in children and adolescents from 10 to 18 years, by using the relationship between the kinematics of the spinal column during walking and the progression of adolescent idiopathic scoliosis. Data was collected from 10 volunteers. As a result of the data analysis, it was revealed that healthy people have a more pronounced dynamics of the upper vertebral region in the frontal plane than people with PIS.

The purpose of reseach to develop models for predicting and early diagnosis of bronchial asthma in production facilities with toxic chemicals in the work area, which provide an acceptable quality of decision-making for preventive medicine.

Methods. Based on the data exploratory analysis as the primary method of investigation was the methodology for the synthesis of a hybrid fuzzy decision rules focused on the synthesis of decision rules under conditions of high uncertainty in the structure of the analyzed data that was modified taking into account peculiarities of the effect of industrial chemicals on human health. The synthesized models take into account the multiplicative and nonlinear effects of interaction of harmful chemicals present in the work area with various structures of the body, which significantly improves the quality of decisions made.

Results. In the course of the research, models were obtained for predicting and early diagnosis of bronchial asthma in workers of electroplating workshops of enterprises in the Kursk region. The resulting fuzzy models took into account production risk factors together with the harmful effects of ergonomics and ecology of electroplating shops and the individual health status of employees. As a result of statistical tests and mathematical modeling, it was found that when predicting confidence in the decision made exceeds the value of 0.85, and confidence in the pre - nosological stage of the disease-0.9.

Conclusion. The obtained models of forecasting and pre-nosological diagnostics of bronchial asthma in the conditions of labor activity of employees of electroplating shops provide the quality indicators of decisions made required for preventive medicine in conditions of insufficient statistics and poorly formalized data structure.

The purpose of the research is to reduce the time spent on processing information, contributing to an increase in the speed of a reconfigurable real-time system, by creating a methodology and an algorithm for distributing an array of computational tasks.

The research methods of the work are based on the definitions of set theory, graphs, probability theory and mathematical statistics. With their help, a mathematical model and a system of criteria for a reconfigurable real-time computing system, built on a wireless protocol, was created, which allows placing tasks according to the minimum- maximum time estimate. And also an algorithm for placing tasks in a computer complex is proposed, which allows increasing the performance of the system by reducing the time of data transfer.

Results. As a result of the research, a method was developed for the distribution of computational tasks in a real-time reconfigurable computing system, which allows to reduce the time of data transmission within the system, which increases the performance of the complex. A methodology for distributing computational tasks to individual processor modules has been compiled. The work of the proposed methods is simulated. And a system of criteria is proposed that describes the final state of a reconfigurable real-time computing system. As a result, the resulting system gave a gain in time of about 2.5 times. Placing connected problems in dynamic systems reduces the payoff coefficient linearly.

Conclusion. The resulting model can be used in distributed computing. The work of the proposed methods is simulated. Their analysis confirmed the increase in system performance as a whole. The parameters for the developed system were chosen, giving a gain in time of about 2.5 times.