The article is devoted to the development of a computer program with the help of which it is possible to simulate the number of flowing and non-flowing cultures of microorganisms for educational purposes. The Mono model is taken as the basic model of biomass growth. The apparatus of ordinary differential equations is used for the mathematical description of cell populations. As a result, the structure and functionality of the electronic learning module with its subsequent implementation in Python has been developed. As a result, the laboratory work "Modeling of flowing and non-flowing cultures of microorganisms" was developed, in the form of a computer program, performed within the framework of mastering the discipline "Biophysics" and consisting in studying the basic principles and methods of modeling the processes of development of microorganisms in flowing and non-flowing cultures. The developed program is implemented in the educational process.

Keywords: computer program, cell population, biophysics, microorganisms, computer modeling, Mono model, Python, biomass, flow conditions, non-flow conditions, system of equations

This article focuses on solving the urgent task of forecasting hazardous mining zones by determining the position of local centers of tension in a processed coal seam. The relevance of this task is confirmed by the fact that the intensification of mining processes inevitably leads to an increase in the risk of hazardous production situations, such as rock blows, sudden coal and rock emissions, etc. The most dangerous for the manifestation of rock strikes are the protrusions of the edge sections of the coal seam, intersection and pairing workings. Shockproof activities regulated by the normative documents, are not always sufficiently effective. To solve this problem, authors propose an approach that allows you to quickly determine the position of local centers of tension, taking into account the influence of the worked out space. The authors developed an integration grid, in the construction of which the division of the entire area into elementary sections is performed in such a way that the influence of the weight of the roof rocks over each section is the same. To implement this approach, the influence function of the worked out space is introduced in the form of the equation of the reference rock pressure diagram. Based on the results of numerical simulation of the stress-strain state of the geomassiv, an exponential dependence is obtained, which allows one to determine the concentration coefficient of vertical stresses for points on the plot of reference rock pressure. According to the values of vertical stresses calculated for each point of the integration grid, it is possible to predict the stress-strain state of the geomassiv and justify the need for shockproof measures. The application of the proposed approach will allow the rapid forecasting of hazardous areas and significantly reduce the cost of shockproof measures.

Keywords: modeling, geomassive, coal seam, integration grid, forecasting, vertical stresses

For a numerical study of the stress-strain state of the edge sections of a coal vein under the influence of a mining zone, there is a mathematical model of the geomass deformation processes, which is reproduced in the form of boundary value problems of the theory of elasticity. The problem was solved by the finite element method in a variational formulation, in which the functional was minimized with full potential energy to determine displacements in narrow of elements. Computational experiments were carried out using the author's complex of programs. Based on the results of numerical modeling, recommendations for strengthening the coal target and definitely bearing capacity was developed. The use of the developed mathematical model and software package allows us to design documents at the development stage, to predict the stress-strain state of the geomass in the zone of influence of the underground mining system.

Keywords: Mathematical model, numerical modeling, computational experiment, software package

In the article we consider serial hipping-chart of the abstract algorithm and a bipartite graph. Led the detailed algorithm of such a transformation. We gave an example of the ability to specify the algorithms in the matrix-predicate form. In conclusion, we indicated that the resulting matrix-predicate form is completely identical graphic form, however, allows you to work with algorithms much more efficient, since it is possible to ask them in the matrix predicate and partially automate the heuristic methods of their construction.

Keywords: the algorithm graph-diagram, bipartite graph, set, matrix, predicate, logical operator, the circuit

In the article, we considered the actual problem of constructing an algorithm based on the interaction of parallel components. The paper contains elements of the methodology developed by the authors for the parallel functioning of algorithms based on graph theory. It is shown that the construction of an algorithm with parallel functioning of components is impossible without taking into account the time, for which the concept of a time axis was introduced, and the sequential algorithm is represented in the form of a bipartite graph by its additional definition. The methods of parallel algorithms represented in the article, realized as dual graphs or matrix predicate form, make it possible to use them in describing complex control and measuring systems. It is concluded that the advantage of such a representation of the parallel functioning of algorithms lies in the fact that it becomes possible to work with parallel hierarchical structures, tracing the changes in each of them by means of input time axes.

Keywords: algorithm, parallel processing, algorithms, parallel operation of objects posledovatelnostyu algorithms, predicative unit, time axis, of the dual graph, the interaction of parallel algorithms, graph-scheme of algorithm, functional-predicate module

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