Issue 2 (188), article 3


Kibern. vyčisl. teh., 2017, Issue 2 (188), pp.

Aralova N.I., senior researcher of department of optimization of controlled processes
Institute of cybernetics of National Academy of Science of Ukraine,
Acad. Glushkov ave., 40, Kiev, 03680 GSP, Ukraine


Introduction. Under conditions of the physical exertion and human presence on the altitude, the oxygen deficiency in tissues occurs. For a theoretical study of the role of various mechanisms in the regulation of the respiratory system, the use of the mathematical model for the transport of respiratory gases in the body was proposed.

Purpose. Researches of the role of hypoxia, hypercapnia and hypometabolism in external and internal disturbances, based on the mathematical model of the respiratory system.

Results. On the mathematical model of respiratory gas transport in the dynamics of the respiratory cycle, as control parameters, pulmonary ventilation, minute blood volume and local blood flow, as well as self-regulation mechanisms — respiratory muscles, cardiac muscle and smooth muscle vessels — were used. It resolved the conflict situation that arises between the managers and the executive tissues in the fight for oxygen. An analysis of the results of numerical experiments in simulating hypoxia and hypoxic hypoxia and their comparison with experimental data was made.

Conclusion. The proposed approach can be useful in assessing the role of hypoxia, hypercapnia and hypometabolism in the disturbances of the internal and external environment in the process of human vital activity under extreme conditions and leads to the formulation of new tasks in the physiology of sports, work and leisure.

Keywords: Mathematical model of respiratory gas transport, load hypoxia, hypoxic hypoxia, regulation of the respiratory system, disturbing effects, oxygen deficiency.

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Recieved 29.03.2017

Issue 182, article 5


Kibern. vyčisl. teh., 2015, Issue 182, pp.

Aralova N.I.

V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences
of Ukraine (Kiev)


Introduction. In addition to experimental studies in recent years the methods of mathematical modeling of individual functional systems and the whole organism in certain situations are widely used, the results of which complement the system of experimental data and allow to make a more complete assessment of the functional state of the organism.
Purpose. To explore on a mathematical model of the respiratory system the functional mechanisms of adaptation of the respiratory system to the conditions of mountain meteorological factors for persons performing heavy exercise in a hypobaric hypoxia.
Results. The model, that describes transport and mass exchange of respiratory gases in the respiratory tract, the alveolar space, blood and tissues with use of ordinary nonlinear differential equations, for the mathematical analysis of the adaptive capacity of the organism hypoxia of various etiologies is used. The regulation is based on a compromise resolution of conflicts arising between the tissues and organs in the struggle for oxygen in a deficit. On the basis of this model, the models of short time and medium adaptation persons performing heavy physical activity in a midlands are created. Results of simulation experiment are presented.
Conclusion. The article presents a mathematical model of short-term and medium term adaptation FRS for rescuers and the results of the numerical analysis of this model. On this basis, the practical recommendations for the selection of the persons, that are exposed to the combined effects of hypobaric hypoxia and the hypermetabolic hypoxia, are given.
Keywords: short-term adaptation, medium term adaptation, respiration system, hypobaric hypoxia, hypermetabolic hypoxia, reliability, mathematical model of respiratory system.

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Received 07.09.2015