Computer Science

Ushbu maqolada oliy ta’lim muassasasi talabalarining multimedia vositalari asosida ijtimoilashuvi hamda ularni ta’lim-tarbiya jarayonida qo‘llashning samarali usullari haqida fikr yuritilgan.

Ushbu maqolada mulohalar va matritsalar bogʻlanishi, mulohazalarni shifrlash, shirflangan ma’lumotlarni yechish, matritsalar ko’paytmasi hamda teskari matritsalarni Matlab programmasida ishlatish haqida ma’lumot berilgan.

Traditional tools of economic analysis, including financial analysis, receive a significant lever in their development in the digital economy. Experimental panels of financial monitoring of Russian enterprises, as business complexes, developed using BI-systems, as the first practical experience revealed a number of problems of a scientific and practical nature. Financial condition monitoring panels are classified according to various criteria. Potential consumers and their possibilities of using a new digital tool have been identified. The problems requiring methodical study are revealed. The costs and the need for economic and financial support for a new direction in the development of digital tools are justified.

The scientmc article is aevotea to tne prooiem oi ensuring aigitai security in the banking sector and ways to improve it. Today, the assessment that cybercriminals pose a serious threat to the financial stability of the banking system and can completely destabilize it is an axiom - the question is not whether, but when. In recent decades, special attention has been paid to information security, in particular, of the entire banking system. Any loss of data, information leakage, destruction of information resources and other consequences of cyber-attacks pose a threat to the security of both citizens and banks, companies, and the state. This problem is quite relevant, because in the conditions of digitalization of society, hackers are developing various ways of stealing personal data and money. Also, as a result of the study, possible tools were presented to minimize the damage caused by cyber-attacks by quickly responding to their occurrence.

The article discusses modern digital technologies, their pros and cons. In recent years, digital technologies are gaining more and more relevance and popularity. Thanks to such technologies, various processes in our society are simplified. Digital technologies today affect almost all spheres of our life, greatly facilitating it, however, the study showed that these technologies can negatively affect such a category as minors.

Nowadays, systems ensuring natural interaction between humans and machines are rapidly evolving. Among them, the task of identifying the user’s language holds particular importance. This article analyzes the problem of language identification (LID) based on speech signals, its application areas, challenges, and modem approaches. It compares traditional machine learning methods (GMM, SVM, i-vcctor) with deep neural network-based approaches (CNN, RNN, Transformer) for language recognition. Additionally, the paper discusses key evaluation metrics such as Accuracy, Precision, Fl-score, and Equal Error Rate (EER) for assessing system performance. Advanced methods for handling complex scenarios like code-switching and openset LID are reviewed, with a focus on practical perspectives for under-resourced languages like Uzbek. The results of the study provide a solid theoretical and practical foundation for developing multilingual interactive voice systems.

The paper presents numerical modeling of a three-dimensional wind velocity field in the atmosphere based on the Navicr-Stokes equations. A stable algorithm for solving the hydrodynamic problem using an implicit difference scheme and high-order approximation is developed. The model takes into account the spatiotemporal variability of air mass velocity in the u, V, and w directions, which allows for a more accurate description of the processes of pollutant transfer in the atmosphere.

One of the most important tasks is to constantly monitor changes in the greenhouse. If the greenhouse is small, we can manage it with one worker. But if the greenhouse is large, then its monitoring and management require a lot of time and human resources. Working in a greenhouse involves not only managing it, but also performing certain operations, such as: ventilation, water distribution, harvesting ripe crops, spraying chemicals against pests, etc. To automate and intelligently analyze these tasks, this paper considers a model of an agricultural robotic manipulator for a greenhouse.

This paper considers unsteady groundwater flow in a system of three aquifers. The hydrogeological structure consists of a highly permeable main aquifer, a poorly permeable interlayer, and a capping layer. The calculations take into account infiltration, evaporation, vertical and horizontal drainage, and interaction with underlying aquifers through the intermediate layer. Finite-difference approximation of differential equations is used to solve the problem.

Jahon ta'lim sohasidagi rivojlanish tendensiyalari axborotlashgan jamiyatda o‘qitishning zamonaviy didaktik vositalarini kengroq joriy etish va ulaming samaradorligini yanada oshirishning dolzarbligini ko‘rsatmoqda. Shuningdek, maktab ta'limida o’quvchilarda fanga bo‘lgan motivatsiyani kuchaytirish uchun pedagogik, mobil va axborot texnologiyalari integratsiyasidan foydalanib darslaming yangicha usullami tadbiq etishni taqozo etmoqda.

Subjects of research: matrixes of proximity, images, directed and undirected graphs
Purpose of work: the development and study of minimax model of layered clusterization based on conception of monotonous proximity function
Methods of research: the methods of discrete mathematics, linguistic data analysis, classification, cluster analysis, image processing. Software was realized on C++, MATLAB, C#.
The results obtained and their novelty:
- development of core clusterization parametric model. Based on conception of monotonous proximity function;
- the method of image segmentation based on core clusterization, and its’ efficiency in comparing with method of normalized cut and k-mcans;
- the procedure of protein sequences multiple alignment based on core clusterization was evaluated in comparing with known software such as CLUSTAL and DIALIGN.
Practical value: developed software can be used in different applications in area of data and image processing, particularly in bioinformatics problems solution.
Degree of embed and economic effectivity: the results of dissertation were used as software package for image processing and teaching needs in information system department of Murom Institute of Vladimir state University University and as software for computing diagnostics of cholecystitis different forms in Republican Scientific Center of Emergency Medicine, Uzbekistan Ministry of Healthcare. Efficiency is social impact on research, treatment of patients, and education.
Field of application: Data Mining and decision-making systems in biology and healthcare.

Klinik tashxislash uchun aniqlik va samaradorlikni ta’minlovchi mikroskopik tekshiruvlar muhim ahamiyatga cga. Bunda avtomatlashtirilgan tizimlar tibbiy-biologik mikroobycktlar tasvirlarini qayta ishlashda kcng qo'llaniladi. Mazkur ishda mikroskopik tasvirlami tahlil qilishni avtomatlashtirish masalasi muhokama qilingan bo'lib, bunda asosan tasvirlami raqamlashtirish bosqichiga alohida e’tibor qaratilgan. Chunki, raqamlashtirish usullari mikroskopik tasvirlami tahlil qilish samaradorligi va aniqligini oshirishga xizmat qiladi. Shuningdck, ishda tibbiy-biologik mikroobycktlar tasvirlarini vizual tckshirishni murakkab holatlari yoritilgan bo'lib, ushbu muammoni hal ctish uchun mos algoritmik ycchimlardan foydalanish tavsiya ctilgan.

Topicality and demand of the theme of dissertation. In world practice of informatization, systems of electronic document interchange (EDIS) arc considered and introduced last years not only as systems for automation of manage processes but also as high-grade platforms for creation of uniform information field, so borders of their use, certainly, expands and scientists of the world raises interest to them. In researches of leading scientists of infocommunication technologies the demand of problems of authentic gathering, transfer, analysis, coding of information during formation of office-work documents is allocated for getting of effective technologies raising mobility and productivity of EDIS.
Complex measures undertaken by the Government of Republic of Uzbekistan on development of systems of region-territorial automated management and to creation of uniform information field arc directed on wide introduction of information systems, EDIS, databases (DB) on the basis of modern information-communication technologies. In this connection, working out of new methods to intelligent processing of information resources used for improvement of data transfer quality, allowing effectively to find out and correct errors in structure of electronic document interchange with least material and time expenses, differs a special urgency and, at the same time, remains the unresolved theoretical and applied problem having important economic value.
Requirements to information resources and streams of data transmission as the important factor of efficiency and quality of EDIS functioning arc expressed in providing of stability, integrity, safety and authenticity of the information. One of important among factors is the criterion of authenticity of the information, caused by distortion of transferred messages in infocommunication networks because of failures and refusals of means, any handicaps in communication channels, errors of operators, scanning and recognition systems.
Hence, construction of effective systems to control of information authenticity during transfer and processing represents special scientific interest as priority technology of data processing, characteristic for conditions of automated management and electronic document interchange at the enterprises and organizations.
For existing methods, despite of providing the high level of information transfer authenticity, some unsolved questions is typical, and as basic of them it is possible to allocate the following: at development technologies of electronic documents interchange in structure of modern data transfer packages the significant volume of resource is spent for headings, at the same time the most part of information in headings remains constant from package to package during stream of transfer of the whole frame (redundancy of the information arising at it and mechanisms to provide reliability of deliveries consisting, basically, in sending the appropriate message and repeated transfer of packages, - result to additional time and material expenses while errors detection and elimination); code and hardware methods of information transfer control arc focused, mainly, on elimination the transposition mistakes in managing fields of packages; however, at data transfer there arc also distortions in information fields, which frequently reveal as multiple text mistakes.
In this relation, the decision of tasks for providing of information transfer authenticity is reasonable to consider in two aspects.
Solutions of the first type tasks should taken into account errors of the man-operator, scanning and other devices intended for input of the information. These kinds of mistakes make greatest volume of distortions in text and arise at Applied and Representation levels of OSI model (Open System Interconnection reference model).
Solutions of second type tasks, devoted to control of the information reliability, take into consideration the probability of distortions which occur at stages of Transport, Network, Physical and Line of model OSI.
Demand of the dissertation is characterized by the fact that introduction of a wide range of IP-enabled technologies in electronic document interchange is connected to requiring close attention tasks of detection and correction of errors during preparation and processing of documents.
This research work is focused on providing realization of laws of the Republic of Uzbekistan «On informatization», «On electronic digital signature», «On electronic document», «On electronic commerce», «On electronic payments», Decree of the Cabinet of Ministers of the Republic of Uzbekistan № 126 on 05.04.2011 «About measures on installation and use of a single secured e-mail and system of electronic document interchange in the executive office of cabinet of ministers, bodies of government and economic governance, local government».
Following that, the solution of listed tasks requires carrying out the special researches and development connected to creation of methods and algorithms, capable to control the information authenticity in structure of data transfer packages at the expense of use the enclosed redundancy, and able to function in transport environment, eliminating existing lacks. This fact causes necessity of allocation of a special class algorithms for providing of information authenticity on the basis of new type of PR-rcdundancy (property redundancy), defined by depending on properties of processed object.
Purpose of research is development ol constructive methods, models, algorithms and systems of information authenticity control during transfer and processing of the data on the basis of mechanisms used PR-rcdundancy of various nature, and software and algorithmic realization of results for developing technologies of electronic document interchange.
Scientific novelty of disscrtational research consists in the following:
concept, methodology and software and algorithmic bases to construction methods, models and algorithms for the information authenticity control in systems of electronic document interchange arc developed, classes of objects characterized by PR-rcdundancy, applied to provide accuracy, integrity, efficiency, compression, availability of information resources in EDIS arc allocated;
methods and algorithms arc offered for control of information reliability at the expense of use the artificial redundancy on the basis of linear, modular, plane summing mechanisms and definition of belonging to the coded subsets;
methods and software complexes arc developed for control of information reliability at the expense of use the natural redundancy on the basis of algorithms in which procedures of statistical, arithmetic, parsing coding, n-gram structured description, statistical pattern recognition and hashing of text elements arc realized;
for control and correction of spelling mistakes in texts on Uzbek language methods and algorithms arc offered on the basis of models of multilevel morphological analysis and n-grams Grammatik description;
on the basis of enclosed logic criteria, database and knowledgebase in structure of the built-in expert systems methods and algorithms arc developed for the control of information authenticity at the expense of use the structural-technological PR-rcdundancy;
methods arc offered to synthesis algorithms of text information reliability control in interactive system of errors detection and correction for developing technologies of electronic document interchange.
Conclusion
1. Developed in the dissertation constructive methods, models, software and algorithms complexes to control of information authenticity by principles of using of PR-rcdundancy on the basis of concepts of system analysis, control and information processing allow to increase efficiency and productivity of EDIS.
2. The estimation of current state of the theory and practice of code, hardware and program methods of control of authenticity information transfer had shown insufficiency of existing types of redundancy for providing qualitative functioning of EDIS. Principles of use of PR-rcdundancy at electronic documents for working out applied methods, software and algorithmic complexes to providing of information transfer authenticity have allowed to design toolkit of development of existing technologies.
3. Methods of: linear, plane and modular summation; codings by rules of Haffman, Lempcl-Ziv-Velch, Barrousc-Willcr, arithmetic coding, statistical recognition, logic control form methodical bases of use of PR-rcdundancy for expansion possibilities of algorithms and software complexes to providing of the information authenticity during drawing up, transfer and processing of electronic documents texts.
4. Efficiency of developed algorithms is shown and solutions arc got for tasks of control the information authenticity on the basis of criterion of mistakes undctccting probabilities. It is established, that they find up to 92 % of all kinds of  mistakes, capable to correct single, double and adjacent transpositional mistakes, in comparison with existing methods reduce labour content and cost of control in 2-3 times if probability of mistakes is accepted as P«4-10-3, and also raise the information authenticity up to three orders.
5. To solving tasks of control and correction of spelling mistakes in Uzbek texts methods, algorithms and systems arc developed included morphological and n-gram structured models. The developed technique of getting frequency characteristics of n-gram on the basis of distortions probability parameters statistics arc applied during systematization hash-codes for parsing coding.
6. Interpolation and extrapolation methods of construction the logic and arithmetic function of statistical recognition arc used for working out algorithms to control of text elements images authenticity. Methods arc developed to control authenticity of alarm characteristics of text elements images in ncuronctworking system to information processing which includes parts of automatic recognition and control of images signals. Methods and algorithms arc realized in the structure system to control of information authenticity for eases when information in EDIS is represented as metatext on the basis of belonging attributes and classification of metatext on fuzzy semantic hypcrnct.
7. Methods and algorithms of the control of the information authenticity, based on methods of dictionary, statistical and hash-codings provide effective applying of the hardware-software environment of parallel computations NVIDIA with use of standard libraries of numerical analysis, optimized data exchange between CPU and GPU for optimization.
8. It is determined that at realization of the system to control of spelling on the basis of developed ways of description and identification of the software shell, treelike representation of n-gramm grammar and architecture of framework Sfinks-4 focused on various language models used PR-rcdundancy, the number of undetected errors and cost of realization considerably decreases, and labour content in comparison with the spelling control system on the basis of morphological analysis decreases twice.
9. Developed simulating algorithms, complexes of software and systems to control of information authenticity on the basis of using PR-rcdundancy have found practical application in systems of: automated organization of educational environment in high schools; adapted data transfer, processing and analysis in infocommunication networks; EDIS of enterprises.
10. The developed software complexes to control the information authenticity in structure of EDIS and computer system of adapted transfer, handling and data analysis arc implemented in real working conditions in the Samarkand branch «UzTelecom» of the State committee or communication, for informatization and telecommunication technologies of the Republic of Uzbekistan and in Joint Venture «Tasty-Fuit». Appropriate certificates confirm cost of economical efficiency of dissertation results.

This article discusses methods of organizing online classes aimed at developing students’ language skills. It reveals the advantages of using online platforms for learning a language and the methodology used in such classes.

This article analyzes methods of collecting palmpnnt data in the field of human biometric identification. It primarily compares two types of data acquisition methods - offline and online - highlighting their advantages and disadvantages. The offline method des-cribcs the technique of collecting data based on inked images, while the online method discusses the architecture of real-time operating devices, user interface, and optical system requirements.

The article Methods for extracting objects from images The main types of algorithms for segmenting objects in images are studied and information about their main advantages and disadvantages is provided. The options for choosing one or more of the methods, depending on the nature of the problem, are presented.

Maqolada o‘quvchilarning axborot kompetentligini rivojlantirishning metodik jihatlari oʼrganilib, ishchi taʼrif qabul qilingan. Axborot kompetenligini rivojlantirish jarayonini mustaqil hayotiy faoliyat davomida axborotlar bilan ishlash kabi yondashuv asosida tashkil etish boʼyicha metodik tavsiyalar ishlab chiqilgan

В статье рассматривается стандартного описание рабочих мест для решения проблем алгоритмизации управления сложными системами. Предлагается описание процесса решения задачи управления объектом на основе алгоритмического подхода. Разработаны методы композиции ТФ для алгоритмического синтеза комплексов рабочих мест, управляющих мониторов.

The topicality and significance of the subject of dissertation. Experts by Synergy Research noted that the total market volume of neural networks by 2005 exceeded 10 billion, dollars, in 2014 the volume of cloud services amounted to more than 17 bln. dollars, an increase of 45% year of calculus1. Also, in the first quarter of 2015 the market volume of services designed to deploy cloud infrastructures, exceeded $ 5 billion., where the share of Amazon Web Services was 29%. Due to the dynamic increase in sales of cloud services in January-March 2015 Google's revenue increased by 74%, IBM - by 56%, while revenues Salesforce.com rose by 34%. Thus, in 2018 the market of public cloud services will take place an investment of $ 127.5 billion., And their size by this time will be increased by an average of 22.8% per year, which is six times greater than the projected growth of global IT-market2.
Determination of hidden patterns, data classification, prediction of processes, as well as analysis of the studied process for large volumes of data and in terms of their uncertainty arc the main tasks of data mining. For complex, weakly formalized processes with fuzzy nestohastichnostyu and incompleteness in the source of information and situations of internal and external environment, not usually given the opportunity to build simple adequate mathematical models. Information about the parameters of such processes is usually expressed by experts in the form of words and sentences, ie, in linguistic form. In such cases, the simulation, decision-making and management tools appropriate to use the technology of soft computing (Soft Computing).
The hybrid system obtained by combining the components of soft computing technologies - fuzzy logic, neural networks and evolutionary algorithms, will have the same intellectual property as the application of knowledge in natural language. In this regard, the development of algorithms and software for generation of fuzzy models of classification tasks, assessment, forecasting and decision-making based on fuzzy inference rules, neural networks and evolutionary algorithms is an actual problem.
Therefore, there is a need to develop methods and algorithms for solving data mining, ie the tasks of building fuzzy models classification, estimation and forecasting on the basis of fuzzy clustering, configuration parameters of the model using neural networks and evolutionary algorithms and fuzzy multi-criteria optimization that occurs when building the model.
This dissertation research is aimed at solving the tasks set by the Law of the Republic of Uzbekistan «On electronic government » for the № LRU-395 of December 9, 2015, Decrees of the President of the Republic of Uzbekistan «On measures to further the implementation of information and communication technologies in the real economy» for the № DP-2158 of April 3, 2014, «On measures for further development of national information and communication system of the Republic of Uzbekistan» for the № DP-1989 of June 27, 2013, and the Resolution of the Cabinet of Ministers «On measures for the formation of the central database of individuals and legal persons and implementation of a unified information system to identify users of the system «Electronic Govcmmcnt»»for № 365 of December 17, 2015.
The purpose of research is to develop hybrid methods and algorithms for building models intelligent analysis of weakly formalized processes based on the method of fuzzy clustering, setting the parameters of these models with the help neural networks and evolutionary algorithm of a bee swarm.
Scientific novelty of the results of the dissertation is as follows:
proposed hybrid the methods of construction of fuzzy models intelligent analysis of weakly formalized processes;
an algorithm for constructing a fuzzy logic model intellectual analysis -classification, estimation and forecasting of weakly formalized processes based on the method of fuzzy clustering;
the possibility of obtaining fuzzy solutions in the construction of the fuzzy logic model classification, evaluation and forecasting of weakly formalized processes based on the settings parameters of the model neural networks for different membership functions;
the possibility of obtaining fuzzy solutions in the construction of the fuzzy logic model classification, evaluation and forecasting of weakly formalized processes based on the settings parameters of the model of algorithm of a bee swarm for different membership functions;
it formed a multicritcria optimization problem in the conditions fuzzy information and developed an algorithm to solve this problem;
develop criteria and algorithms for solving optimization problems and decision-making with fuzzy initial information, proved several assertions about the properties be improved solutions in terms of membership functions;
developed the technology constructing adequate fuzzy model based on hybrid methods of intellectual analysis of weakly formalized processes
CONCLUSION
Analysis of the main results of the thesis allowed us to make several conclusions.
1. A systematic analysis of the problem of constructing models of fuzzy classification problems, estimation and forecasting in weakly formalized systems, as well as the urgency of the development of methods for their solution.
2. On the basis of mathematical analysis shows that important to ensure the adequacy of the model, that is, how to properly use the current information about the subject of research in the modeling process.
3. Analysis of the fuzzy multi-criteria optimization problems generated by the construction of fuzzy model predictive analysis of poorly formalized processes, allows us to solve the problem of multicritcria optimization, resulting in the construction of classification models, estimation and forecasting processes in a fuzzy information.
4. An algorithm for constructing a fuzzy model predictive analysis of the process allows us to solve the problem of classification, estimation and forecasting processes in weakly formalized and the nature of the uncertainty of information about them.
5. The experimental studies have shown a higher efficiency of the developed algorithms in comparison with known algorithms for solving model problems classification, estimation and forecasting.
6. Analysis of the results obtained in the construction of classification models, estimation and forecasting of mining processes in the states of fuzzy information based on fuzzy clustering method showed that the fuzzy approach makes it possible to obtain adequate fuzzy decision based on any a priori information and the level of certainty.
7. Determine the properties be improved for solving the problem of fuzzy multi-criteria optimization, formed by the construction of fuzzy model, and this property contributes to obtaining effective results in addressing a number of practical problems.
8. The possibility of obtaining effective solutions for solving practical problems of classification, estimation and forecasting based on the development of algorithms for constructing models of mining state weakly formalized processes.

The article describes the state of development of small business and private entrepreneurship and the factors affecting it, the socio-economic aspects of the development of the sector and the evaluation of structural changes.

The aim of the work is the development of method and algorithms for solving incorrect problems based on the theory of fuzzy sets and Z-numbers in frame of construction of models for estimating the condition of poorly formalized processes.
The novelty of research is as follows:
The method of definition of the incorrect problems arising while constructing the fuzzy model of an estimation of the state of poorly formalized processes on the basis of the correctness conditions verification was improved;
The methods for determining compact and noncompact classes of correctness by means of various membership functions based on the theory of fuzzy sets and Z-numbers were improved;
The method of obtaining fuzzy and indistinctly stable solution of incorrect problems arising while constructing the model for estimating the state of poorly formalizable processes using various membership functions based on the theory of fuzzy sets was improved;
The method of obtaining stable solution based on Z-numbers was improved;
The algorithms for solving unstable problems formalized while constructing the fuzzy logic model for the evaluation of poorly formalized processes and improving of decision support systems were developed using the theory of fuzzy sets;
The algorithm for solving incorrect problems arising while constructing the models for estimating the state of poorly formalizable processes on the basis of Z-numbers was developed;
The algorithm for solving the fuzzy optimization problem on the basis of the theory of fuzzy sets and Z-numbers was developed.

On-call work is one of the long-known, but unevenly and heterogeneously applied, therefore, fragmentary researched practices of labor organization. In Russia, there is a skeptical attitude towards work on call. Concerns about the precarization of labor force this option to be rejected, and failures in the experience of other countries block the search for solutions that, under the conditions of the national legal order, could become successful. At the same time, the digital age is persistently pushing for a harmonious combination of various forms of employment in the labor market and the evolution of classical labor relations in accordance with the needs of society and the state. On-call work is a zone of medium precarious risks, which can be reduced by increasing the level of certainty, which excludes the borrowing of foreign practice without understanding the nature of the phenomenon. Call work is more than just a nonstandard form of employment, so it is much more likely to find its niche when competing with other similar ways of organizing work.

The article discusses the importance of ensuring information security in e-government systems, especially in today's digital era, when these systems are increasingly used. The article discusses the various tools and techniques available to secure an e-government system, including authentication protocols, encryption technologies, firewalls, intrusion detection systems, anti-virus software, vulnerability assessments, and penetration testing.

Ushbu maqola konvolyutsion neyron tarmoqlari va ma’lumotlar tahlili bo’yicha muhim ma’lumotlar taqdim etadi. Bu tarmoqlar ma’lumotlarni tahlil qilishda va tasniflashda foydalaniladigan texnologiyani tavsiflaydi. SNA 1(Social Network Analysis) va SNA-2 (Social Network Analysis) nomli ikkita neyron tarmoqi tuzilishi va ishlash prinsiplari haqida ma’lumot berilgan. Bu tarmoqlar ma’lumotlarni qo’llab-quvvatlaydi va ularga intellektual tahlil imkoniyati beradi. Maqola tarmoqlarning qatlamlarini ularning bog’lanishlarini va xususiyatlarini batafsil tavsiflaydi. Bu tarmoqlar ma’lumotlarni avtomatik ravishda tahlil qilish va sinovdan o’tkazishda ishlatiladi. SNS-1 (Synthetic Nervous System) va SNS-2 (Synthetic Nervous System) konfiguratsiyalari esa bu tarmoqlarning sonini va sinaptik koeffitsientlarni ifodalaydi. Bu maqola, ma’lumotlarni tahlil qilish uchun intellektual tizimlarning murakkab tuzilishi va ishlashini tushuntiradi. Ushbu tizimlar, ma’lumotlarni qisqa muddatda tahlil qilish va tasniflashda yordam beradi va ko’p sohasida foydalaniladi.

Worldwide development of the theory and practice of mathematical modeling of the regulatory mechanisms functioning (regulyatorika) of living systems at the main hierarchical levels of the organization is connected with successful application its to biology, medicine and agriculture, because it allows to choose the most effective ways for prophylaxis and treatment of number of diseases, for agricultural techniques of cultivation and plant selection, to creation various products of biotechnology. According to WHO forecasting, the number of cases of genetic diseases will continue to grow from 14 million in 2012 to 22 million in the next decade. In European countries adopted a national strategy on research of regulatory mechanisms of rare genetic diseases, and the program "Horizon 2020" running is considered as beginning of new era in the financing of scientific research in the EU. The budget of "Horizon 2020" for the period 2014-2020 is 80 billion euros in the prices of 2011. If the funds index allotted in 2013 for the study of regulatory mechanisms of cells arc 6.7% of the total EU budget, according to estimates, the index will increase to 8.5% in 2020. Since 2014 International research consortium of genetic diseases have already embarked on unprecedented scale of international scientific cooperation in the study of the regulatory mechanisms of living systems.
After discovering regulatory micro-RNA molecules at the beginning of this century there exist intensively growing number of works devoted to the development and practical application of mathematical modeling methods of different regulatory mechanisms of the cell. Although large-scale international studies on cell’s regulatory mechanisms arc expanded (the budget of the "Human Genome" project was more than 3 billion dollars), the interpretation of genome data is still not carried out, its regulatory mechanisms arc not clarified in detail.
In this regard, it is especially actuial to analyse hierarchical interconnection of cellular communities of living systems at different levels of its organization; to develop conceptual model of regulatory mechanisms of cellular communities; to analyse possible formation laws of functional communities; revealing the basic association regularities of multicellular organisms, cells in the cell community to perform specific functions of the organisms; to develop model to ensure the population dynamics of the major research cellular groups that make up the cellular community; development of cell’s simulation models based on the spatiotemporal organization of cells and intracellular processes, to create mathematical models of quantitative relationships of cells on the basis of a system of differential equations with delayed argument; a qualitative and comparative analysis of mathematical models of cell division and cell differentiation, taking into account the dynamics of the volume; elimination of the quantitative relationship between the parameters of the model of cell division and the change in volume; study of mechanisms of sustainable functioning of organs and tissues as a whole in the performance of specific functions.
The dissertation significance is characterised by creation of programs complex on the basis of modem achievements of information technologies, mathematics, medicine and biology that allows to develop new effective methods and algorithms of living systems programming, the high computer technologies in medicine and biology; to create new diagnostic and therapeutic strategy in treatment of people, highly effective medical products, to improve the processes directed on public health care.
The dissertation fulfils the tasks one is charged with accordance with the Ruling of the President of the Republic of Uzbekistan №1730 "On measures for further implementation and development of modem information and communication technologies" on March 21, 2012 and the Ruling of the President of the Republic of Uzbekistan № PP 2221 "On the state program to further strengthen reproductive health, maternal health, child and adolescent in Uzbekistan for the period 2014-2018 years" on August 1, 2014.
Purpose of the research is to develop complex of mathematical models and methodology for imitating modeling of rcgulatorika of cellular communities of living systems with taking into account temporal relations.
Scientific novelty.
Developed conceptual model of regulatory mechanisms of cellular communities based on introducing the functional unit of cellular communities (FUES), consisting of dividing, growing, differentiated, carrying out the specific functions, ageing cellular groups functioning interconnected as a unit;
Imitating cellular FUES models taking into account the existential cells organisation and their endoccllular processes, and also mathematical models of quantitative mutual relations of FUES cells on the basis of system of the differential-delay equations arc developed;
Developed integrated class of mathematical models of regulatory mechanisms of FUES cellular functions in which there arc models of cellular division, differentiations, performance of specific cellular functions and ageing;
Carried out qualitative and comparative analysis of mathematical models of quantitative relationships between FUES cells and cell differentiation on the basis of criteria of adequacy, compactness and testability and selected class of nonlinear functional differential equations;
The account of cell volume dynamics is made during developing models of cellular functions, new quantitative dependence between parametres of model of cellular division and volume dynamics is revealed;
Developed, taking into account the non-linear relationships, self-control, final product inhibition and associativity, new methods of cellular community simulation, algorithms and model’s computer realization.
Developed the information technology and software for computational experiments with the aim of solving the problems of biology and medicine in the field of models construction of interrelated processes of cellular communities regulatory mechanisms.
Conclusion
In the course of the research produced the following results:
1. The formulated basic structurally functional organization of the cells united by performance of the general cellular functions - a functional unit of cellular communities (FUES), allows carrying out the analysis of regulatory mechanisms of multicellular organisms’ cellular communities from uniform positions. FUES formulation opens wide opportunities at mathematical modeling of the most universal, peculiar to all real cellular communities, regulatory mechanisms of vegetative and animal organisms at subccllular level of its organization.
2. The developed general approaches to research vegetative and animal organisms on the basis of modeling of quantitative number of cells (A class), cellular functions (B class) and imitating cellular modeling (C class) using FUES allow to create modeling and program provision for computing experiments for the problems decision in the field of histology and physiology at subccllular, cellular and over-cellular levels of its organization.
3. Constructed and qualitatively investigated differential-delay equations of quantitative numbers of cells in FUES basic zones allow carrying out effective modeling cellular communities. It revealed, based on models research, existence of difficult forms of functioning cellular communities including, besides constancy of cells number, cyclic change, unpredictable dynamics and effect of "black hole".
4. It shown, based on the developed and realized technique of the account of cell volume dynamics at modeling of its basic functions, that character of volume change is one of regulatory mechanisms of cellular ability to live.
5. It is established, based on the qualitative analysis of decisions of corresponding systems of the equations, an acceptability of mathematical models of mitosis and differentiation for the quantitative analysis of the description of the basic laws of division and competition of alternative ways of specialization of cells.
6. It is established, on the basis of carrying out of purposeful computing experiments, sequence of adaptive reactions of intestines at loading an organism by fat: activity rising of absorbing cells, their migration due to differentiation time reduction and finding in buffer zone, involving of growing, young cells into division, number increase of dividing cells and time reduction of their division.
7. During computing experiments, effects of crypth-fibcr cells accumulation in zone of young, growing cells and number fluctuations (to 30 %) cells as adaptive mechanisms of rapidly-renewing cellular systems to possible external influences arc observed.
8. Following regimes of considered process arc revealed during computing experiments with «Hcpatocytes-HBV» program: clarification, symbiosis, regular and irregular fluctuations, sharp destructive changes which define various clinical forms of disease. Forecasting possibility of above-mentioned regimes and their basic characteristics allows, at computer support of laboratory and clinical researches of infectious process at hepatitis B, to establish molecular-genetic bases of pathogenesis, to carry out diagnostics and forecasting characteristic stages of disease current at hepatitis B.
9. Regimes of stationary condition and steady fluctuations with normal functioning, programmed cell death (apoptosis), irregular behavior with tumor development and «black hole» effect with pathological cells death (necrosis) arc found out during computing experiments with computer model of rcgulatorika of cellular communities of thyroid gland follicle.
10. Application possibility of developed functional-differential equations for the analysis of HIV infection pathogenesis mechanisms without “Hayflick limit” concept attraction is established.