Author: admin

Issue 3 (197), article 4

DOI:https://doi.org/10.15407/kvt197.03.051

Cybernetics and Computer Engineering, 2019, 3(197), pp.

Bondarenko M.A., PhD (Phys and Math),
Assistant Professor, the Department of Medical and Biological
Physics and Medical Informatics
e-mail: bondaren.koma3007@gmail.com

Knigavko V.G., DSc (Biology), Professor,
Head of the Department of Medical and Biological
Physics and Medical Informatics
e-mail: vknigavko@gmail.com

Zaytseva O.V., DSc (Biology), Professor,
the Department of Medical and Biological Physics and Medical Informatics
e-mail: olgvaszay@gmail.com

Rukin A.S., PhD (Phys and Math),
Senior Lecturer of the Department of Medical and Biological Physics and Medical Informatics
e-mail: aleksej.rukin@gmail.com

Kharkiv National Medical University
4, Nauky av., Kharkiv, 61022, Ukraine

MATHEMATICAL MODELING OF DNA DAMAGES IN IRRADIATED CELLS AT DIFFERENT OXYGENATION DEGREES

Introduction. In radiotherapy, the degree of oxygenation of tumors is of vital importance. Tumors with greater oxygenation are much more responsive to radiation therapy than tumors with significant hypoxia: well-oxygenated tumors react 2.5…3 times better. Mathematical modeling of DNA damage of irradiated cells at different degrees of their oxygenation is of current interest.

The purpose of the article is to develop a mathematical model of DNA damage in irradiated cells at different degrees of their oxygenation; to study the dependence of the number of radiation damages of DNA per unit volume of the irradiated medium on the radiation dose and the concentration of oxygen in the medium; to estimate the cell cycle duration depending on the oxygen concentration.

Results. A mathematical model of oxygen effect in cells in the case of irradiation
by X-rays or gamma-radiation is proposed. On the basis of this model, the dependence of the number of radiation DNA damages in the unit volume of the irradiated medium on the radiation dose and the concentration of oxygen in the medium is obtained. Triple damage to DNA molecules is determined by primary radiation damage and attacks of two radicals of oxygen on the DNA molecule.

The effect of potentially lethal lesions (PLL) on survival of cells under irradiation conditions is studied. The phenomenon of increasing the survival of tumor cells in their irradiation under hypoxia conditions is also due to the phenomenon of potentially lethal lesions. The optimal indicator of the severity of the PLL effect is the cell cycle duration. Thus, the task of modeling PLL was reduced to creation of a mathematical model that allows estimating the value of that indicator depending on the oxygen concentration.

Conclusions. The mathematical model created in the article allows estimating the number of radiation DNA damages in the unit volume of the irradiated medium on the radiation dose and the concentration of oxygen in the medium. The dependence of the cell cycle duration on the oxygen concentration was obtained.

Keywords: radiobiology, mathematical modeling, oxygen effect, oxygen enhancement ratio, DNA damage.

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21 Michael B.D., O’Neill P.A. Sting in the tail of electron tracks. Science. 2000. Vol. 287, pp. 1603-1604. https://doi.org/10.1126/science.287.5458.1603

22 Yarmonenko S.P., Vainson A.A., Magdon E. Oxygen effect and radiation therapy of tumors. Moscow: Medicine, 1980. (in Russian).

23 Voloshina E.A., Mescherikova V.V. Oxygen effect and adaptation reactions of cells. Radiobiology. 1979. Vol. 19, no. 2, pp. 283-285 (in Russian).

24 Knigavko V.G., Bondarenko M.A., Buts V.G. Diffusion of oxygen in a malignant tumor during the early stage of its development (spheroid stage). Biophysical Bulletin. 2000. Vol. 2(7), pp. 55-59 (in Russian).

25 Bondarenko M.A., Knigavko V.G., Gordienko V.G., Protsenko E.V., Knigavko A.V. Modeling of oxygen diffusion and consumption processes in malignant tumor strands. Biophysical Bulletin. 2001. Vol. 1(8), pp. 81-85 (in Russian).

26 Knigavko V.G., Bondarenko M.A., Ponomarenko N.S., Radzishevska E.B. Mathematical simulation of oxygen diffusion and consumption in a flat malignant tumor. Ukrainian Journal of Radiology. 2008. Vol. 16, no. 1, pp. 61-65 (in Ukrainian).

27 Knigavko V.G., Bondarenko M.A. Mathematical modeling of oxygen diffusion and consumption in a malignant tumor. Biophysics. 2005. V. 30, no. 3, pp. 544-549 (in Russian).

28 Bondarenko M., Knigavko V., Zaytseva O. Approach to evaluate the risk of cancer for different number of tumor suppressor genes in the individual. East European Journal of Physics. 2018. Vol. 5, no. 2, pp. 23-26. https://doi.org/10.26565/2312-4334-2018-2-03

29 Grimes D.R., Kelly C., Bloch K., Partridge M.A method for estimating the oxygen consumption rate in multicellular tumour spheroids. J. R. Soc. Interface. 2014. V. 11. https://doi.org/10.1098/rsif.2013.1124

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31 Grimes D. R., Fletcher A. G., Partridge M. Oxygen consumption dynamics in steady-state tumour models. R. Soc. Open Sci. 2014. Vol. 1. https://doi.org/10.1098/rsos.140080

Received 29.03.2019

Issue 3 (197), article 3

DOI:https://doi.org/10.15407/kvt197.03.033

Cybernetics and Computer Engineering, 2019, 3(197), pp.

Zhiteckii L.S.¹, PhD (Engineering),
Acting Head of the Intelligent Automatic Systems Department
e-mail: leonid_zhiteckii@i.ua

Azarskov V.N.², DSc. (Engineering), Professor,
Chief of the Aerospace Control Systems Department,
e-mail: azarskov@nau.edu.ua

Solovchuk K.Y.³,
Assistant of the Department of Computer Information Technologies and Systems
e-mail: solovchuk_ok@ukr.net

¹International Research and Training Center for Information Technologies
and Systems of the National Academy of Sciences of Ukraine
and Ministry of Education and Science of Ukraine,
40, Acad. Glushkov av., Kyiv, 03187, Ukraine

²National Aviation University, Kyiv, Ukraine.
1, Kosm. Komarova av., Kyiv, 03680, Ukraine

³Poltava National Technical Yuri Kondratyuk University, Poltava, Ukraine.
24, Pershotravneva av., Poltava, 36011, Ukraine

SOLVING A PROBLEM OF ADAPTIVE STABILIZATION FOR SOME STATIC MIMO SYSTEMS

Introduction. The adaptive stabilization of some classes of uncertain multivariable static plants with arbitrary unmeasurable bounded disturbances is addressed in this article. The cases where the number of the control inputs does not exceed the number of the outputs are studied. It is assumed that the plant parameters defining the elements of its gain matrix are unknown. Again, the rank of this matrix may be arbitrary. Meanwhile, bounds on external disturbances are supposed to be known. The problem stated and solved in this work is to design adaptive controllers to be able to ensure the boundedness of the all input and output system’s signals in the presence of parameter uncertainties.

The purpose of this article is to show that it is possible to stabilize any uncertain multivariable static plant which gain matrix may be either square or nonsquare and may have an arbitrary rank remaining unknown for the designer.

Methods. The methods based on recursive point estimation of unknown plant parameters are utilized to design the adaptive inverse model-based controller.

Results. The asymptotic properties of the adaptive controllers have been established. Simulation results have been presented to support the theoretic studies.

Conclusion. The adaptive control laws proposed in this article can guarantee the boundedness of all the signals generated by the feedback control systems. However, this important feature will achieve via an “overparameterization” of these systems. Nevertheless, the simulation experiments demonstrate their efficiency.

Keywords: adaptive control, boundedness, discrete time, estimation algorithm, feedback, multivariable system, uncertainty.

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REFERENCES

1 Maciejowski J. M. Multivariable Feedback Design. Wokinghan: Addison-Wesley, 1989.

2 Skogestad S., Postlethwaite I. Multivariable Feedback Control. UK, Chichester: Wiley, 1996.

3 Albertos P., Sala A. Multivariable Control Systems: An Engineering Approach. London: Springer, 2006.

4 Pukhov G. E., Zhuk K. D. Synthesis of Interconnected Control Systems via Inverse Operator Method. Kiev: Nauk. dumka, 1966. (in Russian).

5 Lyubchyk L. M. Disturbance rejection in linear discrete multivariable systems: inverse model approach. Prep. 18th IFAC World Congress (2011, Milano, Italy). Milano, 2011, pp. 7921-7926. https://doi.org/10.3182/20110828-6-IT-1002.02121

6 Skurikhin V. I., Gritsenko V. I., Zhiteckii L. S., Solovchuk K. Yu. Generalized inverse operator method in the problem of optimal controlling linear interconnected static plants. Dopovidi NAN Ukrainy. 2014. no. 8, pp. 57-66. (in Russian). https://doi.org/10.15407/dopovidi2014.08.057

7 Polyak, B.T., Shcherbakov, P. S. Robust Stability and Control. Moscow: Nauka, 2002. (in Russian).

8 Kuntsevich V. M. Control under Uncertainty: Guaranteed Results in Control and Identification Problems. Kyiv: Nauk. dumka, 2006. (in Russian).

9 Sokolov V.F. Robust Control with Bounded Disturbances. Syktyvkar: Komi Scientific Center, Ural Branch of the RAS, 2011. (in Russian).

10 Zhiteckii L. S., Solovchuk K. Yu. Pseudoinversion in the problems of robust stabilizing multivariable discrete-time control systems of linear and nonlinear static objects under bounded disturbances. Journal of Automation and Information Sciences. 2017. vol. 49. no. 5, pp. 35-48. https://doi.org/10.1615/JAutomatInfScien.v49.i5.30

11 Zhitetskii L. S., Skurikhin V. I., Solovchuk K. Yu. Stabilization of a nonlinear multivariable discrete-time time-invariant plant with uncertainty on a linear pseudoinverse model. Journal of Computer and Systems Sciences International. 2017. vol. 56, no. 5, pp. 759-773. https://doi.org/10.1134/S1064230717040189

12 Zhiteckii L. S., Azarskov V. N., Solovchuk K. Yu., Sushchenko O. A. Discrete-time robust steady-state control of nonlinear multivariable systems: a unified approach. Proc. 19th IFAC World Congress. (2014, Cape Town, South Africa). Cape Town, 2014, pp. 8140-8145. https://doi.org/10.3182/20140824-6-ZA-1003.01985

13 Bunich A.L. On some nonstandard problems of the synthesis of discrete systems. Autom. Remote Control. 2000. no. 6, pp. 994-1002.

14 Fomin V. N., Fradkov A. L., Yakubovich V. A. Adaptive Control of Dynamic Plants. Moscow: Nauka, 1981. (in Russian).

15 Goodwin G.C., Sin K.S. Adaptive Filtering, Prediction and Control. Engewood Cliffs, NJ.: Prentice-Hall, 1984.

16 Landau I. D., Lozano R., M’Saad M. Adaptive Control. London: Springer, 1997. https://doi.org/10.1007/978-0-85729-343-5

17 Zhiteckii L. S., Skurikhin V. I. Adaptive Control Systems with Parametric and Nonparametric Uncertainties. Kyiv: Nauk. dumka, 2010. (in Russian).

18 Narendra K. S., Annaswamy A. M. Stable Adaptive Systems. NY: Dover Publications, 2012.

19 Ioannou P., Sun J. Robust Adaptive Control. NY: Dover Publications, 2013.

20 Astrom K. J., Wittenmark B. Adaptive Control: 2nd Edition. NY: Dover Publications, 2014.

21 Bakan G.M., Volosov V.V., Salnikov N.N. Adaptive control of a linear static plant by a model with unknown parameters. Kibernetika. 1984, no. 2, pp. 63-68. https://doi.org/10.1007/BF01069181

22 Lublinskii B.S., Fradkov A.L. Adaptive control of nonlinear statistical processes with an implicit characteristic. Autom. Remote Control. 1983, no. 4, pp. 510-518.

23 Bakan G.M. Adaptive control of a multi-dimensional static process under nonstatistical uncertainty. Autom. Remote Control. 1987, no. 1, pp. 76-88.

24 Zhiteckii L. S., Solovchuk K. Yu. Adaptive stabilization of some multivariable systems with nonsquare gain matrices of full rank. Cybernetics and Computer Engineering. 2018, no. 2, pp. 44-61. https://doi.org/10.15407/kvt192.02.044

25 Zhiteckii L. S., Solovchuk K. Yu. Robust adaptive pseudoinverse model-based control of an uncertain SIMO memoryless system with bounded disturbances. Proc. IEEE 2nd Ukraine Conference on Electrical and Computer Engineering (UKRCON-2019), Lviv, Ukraine, 2019, pp. 628-633. https://doi.org/10.1109/UKRCON.2019.8879824

26 Azarskov V.N., Zhiteckii L.S., Solovchuk K.Yu. Parametric identification of the interconnected static closed-loop system: a special case. Proc. 12th All-Russian Control Problems Council (VSPU-2014), Moscow, 2014, pp. 2764-2776.

27 Zhiteckii L.S., Azarskov V.N., Solovchuk K.Yu. Adaptive robust control of inter-connected static plants with nonsquare gain matrixes. Proc. 13th All-Russian Control Problems Council (VSPU-2019), Moscow, 2019.

28 Anderson B.D.O., Bitmead R.R., Johnson C.R., Kokotovic P.V., Kosut R.L., Mareels I.M.Y., Praly L., and Riedle B.D. Stability of Adaptive Systems: Passivity and Averaging Analysis. USA, Mas.: MIT Press. 1986.

29 Marcus M., Minc H. A Survey of Matrix Theory and Matrix Inequalities. Boston: Aliyn and Bacon, 1964.

Received 30.05.2019

Issue 3 (197), article 2

DOI:https://doi.org/10.15407/kvt197.03.020

Cybernetics and Computer Engineering, 2019, 3 (197), pp.

Barseghyan V.R., DSc (Phys and Math), Professor,
Leading Researcher of the Institute of Mechanics
of the National Academy of Sciences of Armenia,
Professor of the Faculty of Mathematics
and Mechanics of Yerevan State University
email: barseghyan@sci.am
Yerevan State University, Institute of Mechanics of NAS of Armenia
18, Bakunts st., 0033, Yerevan, Republic of Armenia

THE PROBLEM OF CONTROL OF MEMBRANE VIBRATIONS WITH NON-SEPARATED MULTIPOINT CONDITIONS AT INTERMEDIATE MOMENTS OF TIME

Introduction. Many control processes from various fields of science and technology lead to the necessity to study multipoint boundary value problems of control, in which, along with classical boundary conditions, non-separated multi-point intermediate conditions are also given. A characteristic feature of multipoint boundary value problems of control is the presence of non-separated conditions at several intermediate points of the study interval. Such control problems have important applied and theoretical value, a necessity naturally arises for their investigation in various settings. In this article, the problem of control of vibrations of a rectangular membrane with given initial, final conditions and non-separated values of the deflection function and velocities at intermediate moments of time is considered.

The purpose of the article is to develop a constructive approach to construct a function of control action to control the vibrations of a rectangular membrane with given initial, final conditions and non-separated (non-local) values of the deflection and velocities of membrane points at intermediate moments of time.

Results. By the method of separation of variables, the problem is reduced to the problem of control of ordinary differential equations with given initial, final, and non-separated multipoint intermediate conditions. Using the methods of the theory of control of finite-dimensional systems with multipoint intermediate conditions, a control action to control vibrations of a rectangular membrane is constructed.

Keywords: control of vibrations, membrane vibration, intermediate values, non-separated multipoint conditions.

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REFERENCES

1 Butkovskiy A.G. Methods of the systems control with distributed parameters. Moscow: Nauka. 1975. (in Russian).

2 Sirazetdinov T.K. Systems optimization with distributed parameters. Moscow: Nauka. 1977. (in Russian)

3 Znamenskaya, L.N. Control of elastic vibrations. Moscow: FIZMATLIT. 2004. (in Russian)

4 Kopets M.M. Optimal control of vibrations of a rectangular membrane. Kibernetika i vycislitelnaa tehnika. 2014. Iss. 177, pp. 28-42. (in Russian).

5 Barseghyan V.R. Control of Compound Dynamic Systems and of Systems with Multipoint Intermediate Conditions. Moscow: Nauka. 2016. (in Russian).

6 Barseghyan V.R. and Barseghyan T.V. On an Approach to the Problems of Control of Dynamic System with Nonseparated Multipoint Intermediate Conditions. Automation and Remote Control, 2015, Vol. 76, no 4, pp. 549-559. https://doi.org/10.1134/S0005117915040013

7 Barseghyan V.R., Saakyan, M. A. The optimal control of wire vibration in the states of the given intermediate periods of time. Proc. of NAS RA: Mechanics, 2008, 61(2), pp. 52-60. (in Russian)

8 Barseghyan V.R. Optimal control of a membrane vibration with fixed intermediate states. Proceedings of YSU. 1998. 188 (1), pp. 24-29. (in Russian).

9 Barseghyan V.R. On the problem of boundary control of string oscillations with given states at intermediate moments of time. Proceedings The XIth All-Russian Congress on Basic Problems of Theoretical and Applied Mechanics (Kazan, 20-24th of Aug, 2015), Kazan, 2015. part 1. P. 354-356. (in Russian).

10 Barseghyan V.R. About one problem of optimal boundaery control of string vibrations with restrictions in the intermediate moment of time. Proceedings of the 11th International Chetaev Conference. Analytical mechanics, stability and control (Kazan, 14 – 18th of June, 2017). Kazan, 2017. Vol. 3, part 1. P. 119-125. (in Russian).

11 Korzyuk V.I., Kozlovskia I.S. Two-point boundary problem for the equation of string vibration with the given velocity at the certain moment of time. Proceedings of the Institute of Math. NAS of Belarus. 2010. 18(2), pp. 22-35. (in Russian).

12 Korzyuk V.I., Kozlovskia I.S. Two-point boundary problem for the equation of string vibration with the given velocity at the certain moment of time. Proceedings of the Institute of Math. NAS of Belarus. 2010. 19(1). pp. 62-70. (in Russian).

13 Makarov A.A., Levkin D.A. Multipoint boundary value problemfor pseudodierential equations in multilayer. Vistnyk of V.N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics. 2014. No 1120. Vol. 69, pp. 64-74. (in Ukrainian).

14 Assanova A.T., Imanchiev A.E On the solvability of a nonlocal boundary value problem for a loadedhyperbolic equations with multi-point conditions. Bulletin of the Karaganda University. Series: Mathematics. 2016, no 1 (81), pp. 15-20. (in Russian).

15 Bakirova E.A., Kadirbayeva Zh.M. On a Solvability of Linear Multipoint Boundary Value Problem for the Loaded Differential Equations. Izvestiya NAS RK. Ser. fiz.-mat., 2016, Vol. 5, no 309, pp. 168-175. (in Russian).

16 Krasovsky N.N. The Theory of Motion Control. Moscow: Nauka. 1968. (in Russian).

17 Zubov V.I. Lectures on the Theory of Control. Moscow: Nauka. 1975. (in Russian).

Received 06.05.2019

Issue 3 (197), article 1

DOI:https://doi.org/10.15407/kvt197.03.005

Cybernetics and Computer Engineering, 2019, 3(197), pp.

Gritsenko V.I., Corresponding Member of NAS of Ukraine,
Director of International Research and Training
Center for Information Technologies and Systems
of the National Academy of Sciences of Ukraine
and Ministry of Education and Science of Ukraine
e-mail:  vig@irtc.org.ua

Surovtsev I.V., DSc (Engineering),
Head of the Ecological Digital Systems Department
e-mail: dep175@irtc.org.ua, igorsur52@gmail.com

Babak O.V., PhD (Engineering), Senior Researcher
of the Ecological Digital Systems Department
e-mail: dep175@irtc.org.ua

International Research and Training Center for Information
Technologies and Systems of the National Academy
of Sciences of Ukraine and Ministry of Education and Science of Ukraine,
40, Acad. Glushkov av., 03187, Kyiv, Ukraine

5G WIRELESS COMMUNICATION SYSTEM

Introduction. The 5G high-speed mobile communication system is actively developing in many countries around the world. It is important to understand the scientific and technical prerequisites of 5G wireless technology in order to effectively utilize them in the new intelligent information technology.

The purpose of the article is to describe in an accessible way the architectural features, communication methods, the Internet and the tasks that underlie 5G.

Results. It is shown that specific technical and technological problems have to be solved in order to reach the wide possibilities of 5G mobile communication. At the same time, 5G technology will soon be standardized and implemented around the world, including Ukraine. The ability to connect many external devices in conditions of electromagnetic interference using LTE connections in the case of distribution over a large area and with strict requirements for process delays makes it possible to state that 5G wireless technology is necessary and indispensable in research and production.

Conclusions. Wireless technology 5G and cloud computing are prerequisites for creating high-speed mobile communications, cyber-physical systems and providing a wide range of services to consumers.

Keywords: technology 5G, mobile communication, communication architecture 5G, Internet, cyberphysical systems.

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REFERENCES

1 Rodriguez J. (Ed.) Fundamentals of 5G Mobile Networks. Wiley, 2015. https://doi.org/10.1002/9781118867464

2 Pankaj Sharma. Evolution of Mobile Wireless Communication Networks-1G to 5G as well as Future Prospective of Next Generation Communication Network. IJCSMC. 2013. Vol. 2, no 8. pp. 47-53.

3 Liu L., Chen R., Geirhofer S. Downlink MIMO in LTE-Advanced: SU-MIMO vs. MU-MIMO. IEEE Communications Magazine. 2012. No 50(2). pp. 140-147. https://doi.org/10.1109/MCOM.2012.6146493

4 Jordan R. and Abdallah C.T. Wireless Communications and Networking: An Overview. IEEE Antennas and Propagation Magazine. 2002. Vol. 44. no 1. pp.185-193. https://doi.org/10.1109/74.997963

5 Approved Draft Standard for IT – Telecommunications and Information Exchange Between Systems – LAN/MAN – Specific Requirements – Part 11: Wireless LAN Medium Access Control and Physical Layer Specifications – Amd 4: Enhancements for Very High Throughput for operation in bands below 6GHz”. 2013. pp. 1-456.

6 Palaskas Y., Ravi A. and Pellerano S. MIMO Techniques for High Data Rate Radio Communications, IEEE Custom Integrated Circuits Conference, 2008. CICC 2008. https://doi.org/10.1109/CICC.2008.4672042

7 Hu Fei. Opportunities in 5G Networks: A Research and Development Perspective. CRC Press, 2016. https://doi.org/10.1201/b19698

8 World’s First 5G WiFi 802.11ac SoC. 2012. URL: https://www.broadcom.com/docs/press/80211ac_for_Enterprise.pdf

9 Wallace J.W. and Jensen M.A. Mutual Coupling in MIMO Wireless Systems: A Rigorous Network Theory Analysis. IEEE Transactions on Wireless Communications. 2004. Vol. 3. no 4. pp. 1317-1325. https://doi.org/10.1109/TWC.2004.830854

10 More Spectrum – Especially for Small Cells. URL: https://www.qualcomm.com/documents/1000x-more-spectrum-especially-small-cells

11 Yavuz M., Meshkati F., Nanda S. Interference Management and Performance Analysis of UMTS/HSPA+ Femtocells. IEEE Communications Magazine. 2009. Vol. 6, no 9. https://doi.org/10.1109/MCOM.2009.5277462

12 Tudzarov A., Janevski T. Functional Architecture for 5G Mobile Networks. International Journal of Advanced Science and Technology. 2011, no 3(2), pp. 65-78. https://doi.org/10.5296/npa.v3i1.656

13 Zahir T., Arshad K., Nakata A. and Moessner K. Interference Management in Femtocells. Communications Surveys & Tutorials. 2013. Vol. 15. no 1. pp. 293-311. https://doi.org/10.1109/SURV.2012.020212.00101

14 Telecommunication Management; Self-Organizing Networks (SON); Concepts and requirements, TS 32.500 (Release 11), 2011.

15 Feng S. and Seidel E. Self-Organizing Networks (SON) in 3GPP Long Term Evolution. NOMOR whitepaper, May 2010.

16 Mobile and Wireless Communications Enablers for the Twenty-Twenty Information Society 5G. FP7 ICT project. URL: https://www.metis2020.com

17 Fettweis G. and Alamouti S. 5G: Personal Mobile Internet beyond What Cellular Did to Telephony. IEEE Communications Magazine. 2014, no 52(2), pp. 140-145. https://doi.org/10.1109/MCOM.2014.6736754

18 Xiang Wei, Zheng Kan et al. (Eds.) 5G Mobile Communications. Springer, 2016. 690 p. https://doi.org/10.1007/978-3-319-34208-5

19 Rajagopal, S., Abu-Surra, S., Pi, Z. and Khan, F.Antenna Array Design for Multi-Gbps mmWave Mobile Broadband Communication. Samsung, IEEE Globecom. 2011. https://doi.org/10.1109/GLOCOM.2011.6133699

20 Rusek F., Persson D., Lau B.K. Scaling up MIMO: Opportunities and Challenges with Very Large Arrays. IEEE Signal Processing Magazine. 2013. Vol. 30, no 1, pp. 40-60. https://doi.org/10.1109/MSP.2011.2178495

21 Bizaki H.K. (Ed.) Towards 5G Wireless Networks: A Physical Layer Perspective. ExLi4EvA, 2016. https://doi.org/10.5772/63098

22 Pirmoradian M., Adigun O. and Politis C. Adaptive Power Control Scheme for Energy Efficient Cognitive Radio Networks. IEEE ICC 2012 Workshop on Cognitive Radio and Cooperation for Green Networking (10-15th of June 2012, Ottawa, Canada). Ottawa, 2012. https://doi.org/10.1109/ICC.2012.6364836

23 GSR 2012: Spectrum Policy in a Hyper-connected Digital Mobile World, 2012. URL: http://www.ictregulationtoolkit.org/en/toolkit/docs/Document/4030

24 Gur G. and Alagoz F. Green Wireless Communications via Cognitive Dimension: An Overview. Network, IEEE. Vol. 25, no. 2, pp. 50-56, March-April 2011. https://doi.org/10.1109/MNET.2011.5730528

25 Chowdhury N. M. K. and Boutaba R. Network Virtualization: State of the Art and Research Challenges. IEEE Communications Magazine. 2009, no 47(7), pp. 20-26. https://doi.org/10.1109/MCOM.2009.5183468

26 Osseiran A., Monserrat J.F., Marsch P., Dohler M., Nakamura T. (ed.) 5G Mobile and Wireless Communications Technology. Cambridge University Press, 2016.

27 Mavromoustakis C., Mastorakis G., Batalla J. (edit.) Internet of Things (IoT) in 5G Mobile Technologies. Springer, 2016. https://doi.org/10.1007/978-3-319-30913-2

28 Gold N., Mohan A., Knight C. and Munro M. Understanding Service-Oriented Software. IEEE Software. 2004. Vol. 21, no. 2, pp. 71-77. https://doi.org/10.1109/MS.2004.1270766

29 Fitzek F.H.P. and Katz M. Mobile Clouds: Exploiting Distributed Resources in Wireless, Mobile and Social Networks. NJ: Hoboken, 2014. https://doi.org/10.1002/9781118801338

30 Platzer A. Logical Foundations of Cyber-Physical Systems. Springer, Cham, 2018. 659 p. https://doi.org/10.1007/978-3-319-63588-0

31 Sabella R., Thuelig A, Carrozza M.C., Ippolito M. Industrial automation enabled by robotics, machine intelligence and 5G. 2018. URL: https://www.ericsson.com/en/ericsson-technology-review/archive/2018/industrial-automation-enabled-by-robotics-machine-intelligence-and-5g

32 Perry Lee. The architecture of the Internet of things. DMK-Press, 2019 . (in Russian).

33 Odarchenko R.S., Abakumova A.O., Dyka N.V. Doslidzhennya vymoh do stilnykovykh merezh novoho pokolinnya ta mozhlyvosti yikh rozhortannya v Ukrayini. Problems of Informatization and Management. 2016. Vol. 2(54), pp. 52-59. (in Ukrainian).

Received 03.06.2019

Issue 3 (197)

DOI:https://doi.org/10.15407/kvt197.03

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View web version

TABLE OF CONTENTS:

Informatics and Information Technologies:
Gritsenko V.I., Surovtsev I.V., Babak O.V.
5G Wireless Communication System

Intelligent Control and Systems:

Barseghyan V.R.
The Problem of Control of Membrane Vibrations with Non-Separated Multipoint Conditions at Intermediate Moments of Time

Zhiteckii L.S., Azarskov V.N., Solovchuk K.Y.
Solving a Problem of Adaptive Stabilization for Some Static MIMO Systems

Medical and Biological Cybernetics:

Bondarenko M.A., Knigavko V.G., Zaytseva O.V., Rukin A.S.
Mathematical Modelling of DNA Damages in Irradiated Cells at Different Oxygenation Degrees

Aralova N.I., Aralova A.A.
Mathematical Models of Conflict Controlled Processes Under Functional Self-Organization of the Respiratory System

Kiforenko S.I., Hontar T.M., Orlenko V.L., Ivaskiva K.Yu., Obelets T. A.
Information Technology for Supporting Self-Control in the Formation of a Rational Lifestyle for Diabetics Patients

Issue 2 (196), article 5

DOI:https://doi.org/10.15407/kvt196.02.080

Cybernetics and Computer Engineering, 2019, 2 (196), pp. 80-100

Shvets A.V., DSc (Medicine), Assistant Professor,
Head of Research Department of Special Medicine and Psychophysiology
e-mail: shvetsandro@gmail.com

Research Institute of Military Medicine of Ukrainian Military Medical Academy,
24, Melnikova str., Kyiv, 04655, Ukraine

PSYCHOMEDICAL INTERVENTION MODEL FOR SERVICEMEN BASED ON A STUDY OF MENTAL DISORDERS

Introduction. Many domestic and foreign experts work under the problem of mental health at combat environment in various aspects, however, a lot of unsolved questions regarding to psychomedical consequences of hybrid war in Ukraine still exists.

The purpose of the article is to assess and to analyze of influence of various harmful factors in combat environment on the psychological status and mental health of military personnel and ex-combatants for development of psychomedical intervention model.

Materials and methods. The materials of research were based on the study of more than 200 servicemen in different conditions and health state using own and adopted questionnaires with further descriptive and multivariate exploratory technics of data analysis. Bibliosemantic, information-analytical, comparative analysis of domestic publication from the last 4 years have been done for summarizing the national experience regarding to psychological aftereffects of armed conflict in Ukraine.

Results. A retrospective summarizing of available information on the medical and psychological consequences of hybrid war relating to the characteristics of their aftereffects in recent years among military and demobilized persons has been performed. An assessment of stress factors impact at combat environment (physical, informational, organizational and anticipation) on military personnel participated in military conflict has been done. The specific features and structure of mental disorders in the military personnel, which were treated in hospital conditions have been revealed. The decision support model for reliable (p<0.001) prediction further adjustment disorders after extreme conditions has been developed.

Conclusions. The greatest influence on the stress formation of combatants had “anticipation” factors as well as not much less pronounced “physical”, “informational” and “organizational” environmental factors. Research permits to conclude that some of them significantly influence on the psycho-emotional state of military personnel and can be grouped into two main factors: the 1st – factor of negative future prediction and the 2nd – factor of negative impact of physical environment. The phenomenon of exaggerating of negative feelings among servicemen after the 4th-month impact of the stress factors has been discovered. The decision support model to predict further adjustment disorders (F43.2) after extreme conditions has been created for developing the Psychomedical Intervention Model in Ukrainian Armed Forces.

Keywords: psychomedical intervention model, decision support model, mental health, adjustment disorders, posttraumatic stress disorder, stress factors.

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6 Richardson L.K, Frueh C., Acierno R. Prevalence Estimates of Combat-Related PTSD: A Critical Review. Australian & New Zealand Journal of Psychiatry. 2010; 44 (1). P. 4-19. https://doi.org/10.3109/00048670903393597

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9 Shvets A.V. Improving the psychophysiological assessment methodology of combat conditions influence on the servicemen functional state. Military medicine of Ukraine. 2015; 2. P. 84-92. (in Ukrainian).

10 Inpatient treatment of the ATO participants. Kyiv: Ministry of Health of Ukraine; Ukrainian research Institute of social and forensic psychiatry and drug abuse, 2016. 28 P. (in Ukrainian).

11 Zavalkoy U.M., Kutko I.I., Andreyko M.F., Yurchkova N.O. Structure of mental disorders in ATO participants (pilot study on clinical material of inpatient patients). Ukraine. Nation’s health. 2016; 4/1 (41). P. 54-57. (in Ukrainian)

12 Stepanova N.M.., Ladyk-Bryzgalova A.K., Boltonosov S.V., Sulimovska A.C. Sociodemographic and pathopsychological characteristics of post-traumatic mental disorders in combatants. Archives of psychiatry. 2015; 2 (81). P. 50-53. (in Ukrainian)

13 Pinchuk I.Ya., Pishel V.Ya., Polyviana M.Yu., Guzenko K.V., Ladyk-Bryzgalova A.K. Auto- and geteroagressive behavior in the structure of post-traumatic mental disorders at participants in the ATO. Archives of psychiatry, 2016;.3 (86). P. 5-11. (in Ukrainian).

14 Shevchuk R.V., Hanol M.V., Shimko V.A., Kiris O.P. Analysis of the work of military medical commissions in the special period. In Medical support of the antiterrorist operation: scientific-organizational and medical-social aspects: a collection of scientific works. Ed. by Academicians Tsymbaliuk V.I. and Serdyuk A.M. Kyiv: State Institution of Informational Research Center “Priorities”. 2016. P. 156-167. (in Ukrainian).

15 Druz O.V., Siropyatov O.G., Badyuk M.I. et al. Improvement of treatment and rehabilitation of servicemen of Ukrainian Armed Forces with combat psychotrauma: Methodic recommendations. Kyiv: “Lesya”, 2015. P. 52. (in Ukrainian).

16 Druz O.V., Chernenko I.O. Analysis of combat psychotrauma of participants in local combat operations. In Medical support of the antiterrorist operation: scientific-organizational and medical-social aspects: a collection of scientific works. Ed. by Academicians Tsymbaliuk V.I. and Serdyuk A.M. Kyiv: State Institution of Informational Research Center “Priorities”. 2016. P.168-179. (in Ukrainian).

17 Mykhaylov B.V., Serdyuk O.I., Galachenko O.O., Galachenko V.V., Vashkite I.D. The course of post-traumatic stress disorder among the demobilized members of the antiterrorist operation, located on rehabilitation in sanatorium conditions. Ukrainskyi visnyk psykhonevrolohii. 2016; 2 (87). P. 69-73. (in Ukrainian)

18 Pishel V.Ya., Polyviana M.Yu., Guzenko K.V. Clinical polymorphism of post-traumatic stress disorders at participants in the ATO. Archives of psychiatry. 2017; 1 (88). P. 75-76. (in Ukrainian).

19 Zavorotnyi V.I. Post-traumatic stress disorders in participants of the anti-terrorist operation (combat psychogenias, clinical-psychopathological characteristics). Ukraiskyi visnyk psykhonevrolohii. 2017; 1 (90). P. 48-50. (in Ukrainian).

20 Kalnish V.V., Pishnov G.Yu., Varivonchik D.V. Actual problems of psychophysiological state of combatants. Ukraine. Nation’s health. 2016; 41 (4/1). P. 37-43. (in Ukrainian).

21 Gifford R. Environmental Psychology: Principles and Practice. University of Victoria. Fifth edition. Colville, WA: Optimal Books, 2014. 560 P.

22 Ivanov D.A., Rychka O.V. Psychoprophylactic measures before servicemen deployment to combat zone. Mental Health. 2015; 3 (48) – 4(49). P. 87-98. (in Ukrainian)

23 Kazmirchuk A.P., Shvets A.V., Rychka O.V., Chaikovsky A.R. Suicides in Ukrainian Armed Forces: Analysis and Directions of Prevention. UMMA Scientific Papers “Problems of Military Health”, 2017, Iss. 47. P. 310-319. (in Ukrainian)

24 Pinchuk I.Ya., Petrichenko O.O., Kolodezhsky O.V., Zdorik I.F., Drevitska O.O. Morbidity and prevalence of mental and behavioral disorders as a result of the use of psychoactive substances among participants of the antiterrorist operation in Ukraine for the first half of 2016. Archives of psychiatry. 2016; 4 (87). P. 11-14. (in Ukrainian).

25 Pinchuk I.Ya., Yachniki U.V., Ladyk-Bryzgalova A.K., Bulakhova L.O. Psychological recovery and social integration of veterans in Ukraine Archives of psychiatry. 2017, 1 (88). P. 6-10. (in Ukrainian).

26 Stadnik I.V. Peculiarities of psychological trauma experience of combat operations participants in the antiterrorist operation. In Psychology today: the view as a modern student: materials of the tenth international student scientific conf. Ed. by I.V. Shtotkova. Brest: Psychology, Pushkin Brest State University, 2015. P. 151-153. (in Russian).

Received 04.03.2019

Issue 2 (196), article 4

DOI:https://doi.org/10.15407/kvt196.02.059

Cybernetics and Computer Engineering, 2019, 2 (196), pp. 59-79

Shlykov V.V.¹, PhD (Engineering), Associate professor,
Department of Biomedical Engineering
e-mail: v.shlykov@kpi.ua

Maksymenko V.B.², DSc (Medicine), Professor,
Deputy Director for research
e-mail: maksymenko.vitaliy@gmail.com

¹National Technical University of Ukraine
“Igor Sikorsky Kyiv Polytechnic Institute”
37, Peremogy av., Kyiv, Ukraine, 03056

²Amosov National Institute of Cardiovascular Surgery
6, Amosova str., Kyiv, Ukraine, 03038

THE METHOD OF DETERMINING CONDUCTIBILITY FOR CORONARY VESSELS BY TERMOGRAPHY

Introduction. The character of the distribution of temperature in the heart is determined by the process of heat exchange between the myocardium and coronary vessels, as well as the state of microhemodynamics of the coronary vessels of the heart. For quantitative estimation of changes in temperature distribution on the surface of the heart, the algorithm for calculating a quantitative criterion, that may be an objective marker for effective protection of the heart and brain, is proposed. The method of determining the conductibity of coronary vessels is implemented on the basis of the algorithm for determining the thermal contours, calculated from the gradients of the temperature field on the image of the heart in the infrared spectrum. The improvement of the previously developed method for determining the thermal contours on the basis of Canny’s algorithm consists in the transition from qualitative to quantitative assessment of the rate of change in temperature on the surface of the myocardium.

The purpose of this study is to evaluate the conductibity of coronary vessels for the study of blood flow in the surface layer of the myocardium during warming up and cooling of the heart in conditions of cardiopulmonary bypass.

Results. The numerical value of the quantitative criterion obtained is calculated by determining the difference in temperature between the blood and the myocardium, calculated as the difference between the geometric areas under the temperature distribution curves in the temperature field equation for the constant and the current fluxing temperature. The contouring method for determining the conductibity of coronary vessels allows to select areas on the surface of the myocardium, in which the change in temperature significantly lags behind the average temperature on the surface during warming or cooling of the heart, which indirectly allows evaluating the state of small coronary vessels in the myocardium.

Conclusions. The method for determining the conductivity of coronary vessels for the study of blood flow in the surface layer of the myocardium are proposed, which allowed to allocation contours of sites on the surface of the myocardium with uneven distribution of temperature during warming up and cooling of the heart. Scientific novelty of the method consists in the allocation of thermal contours of sites in which the temperature change significantly lags behind the average temperature on the surface during warming up or cooling of the heart.

Keywords: mathematical modelling, the algorithm of detector Canny, heart temperature, temperature profiles, hypothermia, hyperthermia, cardiopulmonary bypass.

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5 Maksymenko V.B., Danilova V.A., Shlykov V.V. The Discrete Model for the System of the Myocardium and Coronary Vessels. Scientific news of NTUU “KPI”, 2007, No 1. P. 54-60. (in Ukrainian) https://doi.org/10.20535/1810-0546.2017.1.90044

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8 Shlykov V., Danilova V., Maksymenko V., Sychyk M. Application of Model of Heat Exchange for Myocardium Provided Stationary Convection Laminar Flow. Journal of Cardiology & Current Research. 2017. P. 311-313.

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18 Shlykov V. The propagation of the temperature waves in myocardium. EUREKA: Physics and Engineering, 2018, No2. P. 52-62. https://doi.org/10.21303/2461-4262.2018.00580

19 Bin Jing, Haiyun Li. A Novel Thermal Measurement for Heart Rate. Journal of Computers, Vol. 8, No. 9, September. Academy Publisher, 2013. pp. 2163-2166. https://doi.org/10.4304/jcp.8.9.2163-2166

20 Buckberg G.D., Brazier J.R., Nelson R.L., et al. Studies of the effects of hypothermia on regional myocardial blood flow and metabolism during cardiopulmonary bypass. I. The adequately perfused beating, fibrillating, and arrested heart. J. Thorac. Cardiovasc. Surg. 1977; 73: 87-94.

21 Love T. J. Thermography as an indicator of blood perfusion. Annals of the New York Academy of Sciences. 1980.V. 335. No 1. P. 429-437. https://doi.org/10.1111/j.1749-6632.1980.tb50766.x

22 Gonzalez R. C., Woods R. E. Digital Image Processing [Electronic resource]. New Jerse: Prentice Hall, 2002. Available at: http://users.dcc.uchile.cl/~jsaavedr/libros/dip_gw.pdf

23 Stoica P., Moses R. Spectral analysis of signals. New Jerse: Prentice Hall, 2004. Available at: http://user.it.uu.se/~ps/SAS-new.pdf

24 Pavlidis T. Algorithms and Graphics and Image Processing. N.Y.: Springer, 1982. 320 P. https://doi.org/10.1007/978-3-642-93208-3

25 Chepurny M.M., Resident N.V. Heat exchange in examples and tasks: a manual. Vinnitsa: VNTU, 2011. 128 C. (in Ukrainian)

26 Gilchuk A.V., Khalatov A.A. Theory of Thermal Conductivity: Textbook. Kyiv: Igor Sikorsky Kyiv Polytechnic Institute, 2017. 93 P. (in Ukrainian)

Received 29.03.2019

Issue 2 (196), article 3

DOI:https://doi.org/10.15407/kvt196.02.043

Cybernetics and Computer Engineering, 2019, 2 (196), pp. 43-58

Yefymenko M.V.¹, PhD (Engineering), Associate Professor,
Chief Designer
e-mail: nefimenko@gmail.com

Kudermetov R.K.², PhD (Engineering), Associate Professor,
Head of Computer Systems and Networks Department

¹“HARTRON-UCOM LTD”,
166, Soborniy av., Zaporizhzhia, 69035, Ukraine

²Zaporizhzhia National Technical University,
64, Zhukovsky str., Zaporizhzhia, 69063, Ukraine

TOPOLOGICAL ANALYSIS OF ANGULAR MOMENTUM RANGE VALUES OF THE GYRO MOMENT CLUSTERS BASED ON COLLINEAR GYRODINES PAIRS

Introduction. To ensure the high dynamic characteristics of Earth remote sensing satellites in their orientation systems, the gyro moment clusters (GMCs) based on excessive number (more than three) two-gimbals control moment gyrodines (GDs) can be used as actuators. The attitude control by GD actuators task is the most difficult among the tasks of spacecraft (SC) reorientation control. The central issue in solving this task is the synthesis the control laws for precession angles of individual GDs when there are excessive. Success in solving the control problem is substantially determined by the choice of the GMC structure, it means the number of GDs used and their mutual positions of the precession axes. From this choice depends on the possibility of forming by GMC the necessary control momentum, the existence and number of special GMC states, the complexity of the control laws for the precession angles of the individual GDs included in the GMC. This is because in order to maintain the desired SC orientation for a long time and to perform its turns with the required angular rate, the GMC must have a sufficient margin of angular momentum. The allowable values of the total angular momentum created by the GDs form a certain area that is bounded by a closed surface of complex shape in a coordinate system rigidly attached to main SC body. Inside this area there are particular surfaces on which the control of the GDs is complicated or unfeasible. These surfaces are called singular. In this regard, for SC attitude control in addition to control the precession rate of individual GDs it is also necessary to control the mutual orientation of the angular momenta of the GDs in GMC. In this one of the most important problems of the control laws synthesis with the use of GMC is the identifying singular surfaces (topological analysis) in the area allowable angular momentum of the GMC.

The purpose of the article is to develop a technique for detecting singular states in GMC based on three collinear pairs.

Results. The analysis was carried out and the singular states of the GMC with three collinear pairs were revealed.

Conclusion. An original technique of a topological analysis of GMC based on collinear GD’s pairs is proposed. This technique may be useful to developers of SC attitude control systems.

Keywords: spacecraft, gyrodine, singular vector, singular surface.

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Received 15.02.2019

Issue 2 (196), article 2

DOI:https://doi.org/10.15407/kvt196.02.027

Cybernetics and Computer Engineering, 2019, 2 (196), pp. 27-42

A.Ya. Gladun¹, PhD (Engineering),
Senior Researcher of the Department of Complex Research of Information Technologies and Systems
email: glanat@yahoo.com

Yu.V. Rogushina², PhD (Phys&Math)
Senior Researcher of the Department of Automated Information Systems
ladanandraka2010@gmail.com

A.A. Andrushevich³, Researcher
of the Faculty of Apply Mathematics and Сomputer Science
email: andrushevich@bsu.by

¹International Research and Training
Center for Information Technologies and Systems
of the National Academy of Sciences of Ukraine
and Ministry of Education and Science of Ukraine
40, Acad. Glushkov av., 03187, Kiev, Ukraine

²Institute of Program Systems
of the National Academy of Sciences of Ukraine,
40, Acad. Glushkov av., 03187, Kiev, Ukraine

³Belarusian State University,
4, Nezavisimosti av., 220030, Minsk, Belarus

USING SEMANTIC MODELING TO IMPROVE THE PROCESSING EFFICIENCY OF BIG DATA IN THE INTERNET OF THINGS DOMAIN

Introduction. The development of the Internet of Things (IoT), equipped with various electronic sensors and controllers that distantly operate with these things is an important step of a new technical revolution. In this article, we look at the features of Big Data generated by the Internet of Things (IoT) technology, and also present the methodology for processing this Big Data with use of semantic modeling (ontologies) at all stages of the Big Data life cycle. Semantic modeling allows to eliminate such contradictions in these technologies as the heterogeneity of devices and things that causes the heterogeneity of the data types produced by them. Machine learning is used as an instrument for Big Data of analyzes: it provides logical inference of the rules that can be applied to processing of information generated by Smart Home system.

The purpose of the article is to use deep machine learning, based on convolutional neural networks because this model of machine learning corresponds to processing of unstructured and complex nature of the IoT domain.

Results. Proposed approach increases the efficiency of IoT Big Data processing and differs from traditional processing systems by using NoSQL database, distributed architectures and semantic modeling.

Conclusion. The conceptual architecture of the Big Data processing system for IoT and describe it on on the example of the NoSQL database for Smart Home were given. This architecture consists of five independent levels. At each of these levels, a combined approach of semantic modeling and data mining methods can be used. Currently, this platform can be combined with a lot of open source components.

Keywords: Big Data, Internet of Things, ontology, Semantic Web.

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REFERENCES

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Received 10.01.2019

Issue 2 (196), article 1

DOI:https://doi.org/10.15407/kvt196.02.003

Cybernetics and Computer Engineering, 2019, 2 (196), pp. 3-26

Fainzilberg L.S., DSc. (Engineering), Professor,
Chief Researcher of the Department of Intelligent Automatic Systems
e-mail: fainzilberg@gmail.com
International Research and Training Center for Information Technologies
and Systems of the National Academy of Sciences of Ukraine
and Ministry of Education and Science of Ukraine,
Acad. Glushkov av., 40, Kiev, 03187, Ukraine

Dykach Ju.R.2, Student, Faculty of Biomedical Engineering,
e-mail: jul.dykach@gmail.com
The National Technical University of Ukraine
«Igor Sikorsky Kyiv Polytechnic Institute»,
37, Peremohy av., Kyiv, 03056, Ukraine

LINGUISTIC APPROACH FOR ESTIMATION OF ELECTROCARDIOGRAMS’S SUBTLE CHANGES BASED ON THE LEVENSTEIN DISTANCE

Introduction. The linguistic approach, based on the transition from electrocardiogram (ECG) to codogram, gained fame for the analysis of heart rhythm. To expand the functionality of the method, it is advisable to study the possibility of simultaneously monitoring the dynamics of changes in the duration of cardiac cycles and the indicator of symmetry T-wave that carries information about ischemic changes in the myocardium.

The purpose of the article is to develop algorithmic and software components to solve this problem and conduct experimental studies on model and real data.

Methods. ECG of certain groups was automatically encoded, Levenshtein distance was calculated between ECG pairs for group and the reference codogram of the group was constructed. The evaluation of the results of experimental studies was carried out on the basis of traditional methods of statistical analysis.

Results. It is shown that based on the Levenshtein distance between all pairs of codograms of the test group, the reference codogram of the group of patients with coronary heart disease (CHD) and the group of healthy volunteers can be determined. It was established that making decisions based on the comparison of the ECG codogram of the person with the reference codogram allows for the separation of representatives of the indicated groups with sensitivity S_E = 72% and specificity C_P = 79% even in those cases when the traditional analysis of the ECG in 12 leads is not informative.

Conclusions. The proposed approach allows to obtain additional diagnostic information when solving actual problems of practical medicine.

Keywords: linguistic approach, diagnostic sign of ECG, Levenshtein distance.

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Received 01.04.2019