DOI:https://10.15407/kvt205.03.052
Cybernetics and Computer Engineering, 2021, 3(205)
ARALOVA N.I.1, DSc (Engineering), Senior Researcher,
Senior Researcher of Optimization of Controlled Processes Department
ORCID: 0000-0002-7246-2736
e-mail: aralova@ukr.net
KLYUCHKO O.M.2, PhD (Biology), Associate Professor,
Associate Professor of Air Navigation Faculty
ORCID: 0000-0003-4982 7490
e-mail: kelenaXX@nau.edu.ua
MASHKIN V.I.1, PhD (Engineering), Senior Researcher,
Senior Researcher of Optimization of Controlled Processes Department
ORCID: 0000-0002-4479-6498
e-mail: mashkin_v@ukr.net
MASHKINA I.V. 3, PhD (Engineering), Associate Professor,
Associate Professor of Information Technology and Management Faculty
ORCID: 0000-0002-0667-5749
e-mail: mashkina@kubg.edu.ua
RADZIEJOWSKI P.A. 4, DSc (Biology), Professor,
Professor of Management Faculty, Innovations
and Safety Management Systems Department
ORCID: 0000-0001-8232-2705
e-mail: pawel.radziejowski@pcz.pl
RADZIEJOWSKA M.P. 4, DSc (Biology), Professor,
Professor of Management Faculty, Innovations
and Safety Management Systems Department
ORCID: 0000-0002-9845-390X
e-mail: maria.radziejowska@pcz.pl
1 V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, 40, Acad.Glushkov av., Kyiv, 03680, Ukraine
2 Electronics and Telecommunications National Aviation University, 1, Lubomyr Huzar av., Kyiv, 03058, Ukraine
3 Borys Grinchenko Kyiv University, 18/2, Bulvarno-Kudriavska str., Kyiv, 04053, Ukraine,
4 Czestochowa University of Technology 19b, Armii Krajowej str., 42-200, Częstochowa, Poland
MATHEMATICAL MODEL OF CONFLICT-CONTROLLED PROCESSES IN SELF-ORGANIZATION OF RESPIRATORY SYSTEM
Introduction. Various processes going in surrounding environment are controlled, i. e. their states are determined depending on the specific influence of controlling party. At the same time, it is natural to try to choose the optimal controlling influence that would be the best in comparison with other possible controlling methods. Intensive development of the theory of optimal solutions with computers use has obtained the ability to perform complex calculations and realize the rules of control due to the development of computational technology.
The problem of identifying and studying of the nature of self-organization mechanisms of processes going in organism, the disclosure of the laws of control that operate in it actually arises during the investigation of living systems. Problem solution of self-organization process knowing for these controlled objects should be carried out using the methods of mathematical modeling. Peculiarities of setting problems of control for functionally-organized systems can be conveniently examined on the example of processes going in living organism when the achievement of certain goals is ensured.
The purpose of the article is to create the mathematical model of functional respiratory system for the investigation of self-organization mechanisms in human organism in response to extreme disturbances.
Methods. The usual nonlinear differential equations are used for process description; they describe the mass transfer and mass exchange of respiratory gases flowing along all their ways in organism.
Results. Mathematical model of functional respiratory system has been developed to study the current functional state and to predict the mechanisms of self-organization of respiratory system in adapting to the disturbing influences of external and internal environment based on the problem of optimal control and taking into account the conflict situation between the self-regulating organs – controlling and executing.
Conclusions. Mathematical model of functional self-organization of respiratory and blood circulatory systems is proposed, which takes into account the interaction and inter-influence of organism functional systems, conflict situations between controlling and executive elements of self-regulation; it is based on the assumption of optimal regulation of oxygen regimes. The model may be useful for solving a number of applied problems of physiology and medicine.
Keywords: Functional respiratory system, controlled dynamic system, self-organization of respiratory system, operators of continuous interaction system, disturbing influence of environment.
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Received 27.05.2021