Techniczne nauki

UDC 371.7:616.12

Visotska O.V. ¹, Bespalov Yu. G. ², Pecherska A.I. ¹

Porvan А.P.¹, Tsapenko К.V.¹

¹Kharkiv National University of Radioelectronics, Ukraine

² V. N. Karazin Kharkiv National University, Ukraine

MATHEMATICAL MODELING DYNAMICS PARAMETERS THAT DEFINE THE ADAPTATION RESOURCES OF THE HUMAN BODY

Now adaptive resource (АR) exhaustion problem of the human body is increasingly concerned specialists in various fields of medicine. Features modern science and technology can solve this problem by creating a monitoring and correction of AR using automatic measurement of physiological parameters which hereinafter referred to as conditional easily measurable parameters (ЕМР).

In particular, the non-invasive parameters that reflect the state of the autonomic nervous system (ANS), which plays an important role in the development of non-specific adaptation reactions of the human body for the first time received a description of the works of Hans Selye [1].

Additional opportunities arise when there is a mathematical model of relations ЕМР of more representative, but harder measurable parameters (HMP). For specific ЕМР measurement conditions can cause problems for mathematical modeling related to the need for factual material that has gaps and does not reflect the dynamics of real-time values of the measured parameters. Certain capabilities satisfactory resolution of these problems allows use to describe the structure and dynamics of systems at different levels of organization of living matter discrete models of dynamic systems (DMDS) [2-5].

The aim is to study the dynamics mathematical model of the relationship ЕМР and HMP are built for control group (CG) healthy adolescents and the main group (MG) in violation of the cardiovascular system (CAS).

For the modeling of relations between the three ЕМР and HMP used a mathematical apparatus DMDS, applying the law of Liebig ideology and the correlation Pirrsona [2] As HDL were spectral parameters of heart rate, which determine the activity of the sympathetic and parasympathetic system , measurement day, and the ratio of these parameters, measurement at night; as HMP - total peripheral vascular resistance (TPVR).

The simulation results allowed to construct idealized trajectory of the system (ITS) for CG and MG series of changes that reflect the values of ЕМР and HMP.

Between ITS , built for the CG and MG are significant differences essential to explore some aspects of systemic conditions in which there are high values TPVR in healthy adolescents and those suffering from disorders of the CAS. It is the differences that are relevant for different types operation ANS and according to different strategies of implementation mechanisms of the body non-specific adaptive responses, and therefore to use different strategies of adaptation resources. Namely, ITS, built for the MG increased TPVR precedes some imbalance values above indicators sympathizers and parasympathetic activity during the day. Accessible priority sympathetic ANS department adaptation mechanisms in operation - against stable low values of parameters corresponding to the activity of the parasympathetic ANS department an increase in the parameter corresponding to the activity of the sympathetic division of the ANS.

At the same time, ITC, built for MG seeing a other picture, which may be interpreted as a manifestation of non-specific adaptation strategy implementation mechanisms and the use of adaptive resources of the organism with more economical use of resources and more adaptive balance different in a sense - alternative, operation aspects of the autonomic nervous system.

In the idealized trajectories system built for CBO observe that growth preceded TPVR balanced values , low, same for the sympathetic and parasympathetic.

Presented results can be useful in terms of opportunities to detect some additional features of the role of the sympathetic and parasympathetic divisions of the autonomic nervous system in regulating the status of peripheral regions of the circulatory system, so interesting in terms of developing methods formalized description of adaptive mechanisms of the human body, on the other hand, there is also a practical aspect.

Thus is that the description of the dynamics of relationship values ЕМР and HMP gives grounds to determine some promising areas of use in medicine, cardiology -in particular, methods of diagnosis and prognosis immediate hazardous conditions of the human body with complex measured using ЕМР and HMP relatively simple and cheap means, laws relationship dynamics of ЕМР are known, in particular - because relevant studies using DMDS .Conclusion on the feasibility of using DMDS in the above areas of medical research seems justified.

References. 1.Selye, H. (Oct 7, 1955). "Stress and disease". Science 122: 625–631. doi:10.1126/science.122.3171.625

2. Беспалов, Ю. Г., Дереча, Л. Н., Жолткевич, Г. Н., Носов, К. В. (2008). Дискретная модель системы с отрицательными обратными связями. Вісник Харківського Національного Університету Серія «Математичне Моделювання. Інформаційні Технології. Автоматизовані Системи Управління», 833, 27–38.

3. Zholtkevych, G. N., Bespalov, Y. G., Nosov, K. V., & Abhishek, M. (2013). Discrete Modeling of Dynamics of Zooplankton Community at the Different Stages of an Antropogeneous Eutrophication. Acta Biotheoretica, 61(4), 449–465. http://doi.org/10.1007/s10441-013-9184-6

4. Высоцкая Е.В., А. П. Порван, Ю. Г. Беспалов, К. В. Носов, В. А. Клименко, А. А. Трубицын, Прогнозирование течения атопического дерматита у детей с использованием дискретного моделирования динамических систем //Восточно-Европейский журнал передовых технологий. –2014. –Т.3. –№ 4 (69).

–С.21-25, 2014.

6. Григорьев, А. Я., Жолткевич, Г. Н., Носов, К. В., & Беспалов, Ю. Г. (2014). Математическая модель системных эффектов динамики спектальных характеристик травяного покрова, демаскирующих скопления саранчи.