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Issue 1 (191), article 5

DOI:https://doi.org/10.15407/kvt191.01.076

Kibern. vyčisl. teh., 2018, Issue 1 (191), pp.

Kaplin I.V.1, Ophthalmologist of the Kyiv Center of Therapy and Microsurgery of Eye,
Postgraduate student of department of ophthalmology
e-mail: smashdown@mail.ru
Kochina M.L.2, Dr (Biology), Professor,
Head of Department of Medical and Biological Bases of Sport
and Physical Rehabilitation
e-mail: kochinaml@gmail.com
Firsov A.G.3, PhD (Engineering),
Main Designer of LLC “ASTER-IT”
e-mail: shagrath.hire@gmail.com
1Kharkov Medical Academy of Postgraduate Education,
Аmosov st, 58, Kharkiv, 61000, Ukraine
2 Petro Mohyla Black Sea National University,
68 Marines st., 10, Mykolay, 54003, Ukraine
3 Limit Liability Company “ASTER-IT”,
Aviation st., 1, ap. 7, Kharkov, 61166, Ukraine

THE CONCEPTION OF TELEMEDICINE SYSTEM FOR EXPRESS ESTIMATION OF INTRAOCULAR PRESSURE’S LEVEL

Introduction. One of the reasons for the unfavorable outcome of glaucoma is an incorrect evaluation of the eye hydrodynamics data obtained by measuring intraocular pressure. That is why the development of new non-invasive methods of intraocular pressure studying is an urgent task. The cornea is optically anisotropic due to the effects of direct extraocular muscles and intraocular pressure on it, as well as the structure and properties of corneal collagen. When an eye cornea is illuminated by polarized light, we can observe an interference pattern which reflects the distribution of internal stresses in it. The parameters of interference patterns depend on the level of intraocular pressure.
The purpose of the article is to develop the telemedicine system’s conception for express estimation of intraocular pressure level with the use of interference pictures that are observed on glaucoma patients’ cornea in polarized light.
Results. The method for determining the interference parameters is performed in several stages in accordance with the developed algorithm. First, after receiving a color picture of interference pattern, its brightness is normalized and converted to monochrome. At the second stage, the cornea borders are fixed by means of two mode indicators, after which the contour is automatically applied to the image. At the third stage, the isochromatic contour is labeled using an adjustable ring pointer, which allows defining the isochrome width middle and standardizing the studies. After marking out the contour of the isochrome using splines, the isochrome itself is modeled. At the fourth stage, there is an automated calculation of the pixels forming the isochrome and filling the inner part.
Conclusions. To assess the level of intraocular pressure using interference patterns, it is necessary to determine their parameters, which can be performed in a semi-automated mode. The developed method provides a resolving power of at least 0.55 mm/pixel (3 times better than the known one) and reduces the research time by 11–15 times. It is not labor-intensive and can be implemented in the central regional hospital.

Keywords: telemedical system, polarized light, interference patterns, isochromes, parametrization.

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REFERENCES

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13 Stanworth A., Naylor E.J.Polarized light studies of the cornea. The isolated cornea. J. Exp. Biol. 1953.Vol. 30. P. 160–163.

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15 Cogan D.C. Some ocular phenomena produced with polarized light. Arch. Ophthalmol. 1941. Vol. 25, No 3. P. 391–400. https://doi.org/10.1001/archopht.1941.00870090013001

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18 Kochina M.L., Kalimanov V.G. Investigation and modeling of the polarization-optical properties of the eye cornea in various states of extraocular muscles. Bionics of the intelligence. 2008. No 2 (69). P. 132–137 (in Russian).

19 Shaffer R.N., Lieberman M. F., Drake M.V. Becker-Shaffer’s Diagnosis and Therapy of the Glaucomas. Mosby, 1999. 716 p. No 1. P. 34–35.

20 Rao H.L., Senthil S., Garudadri C.S. Contralateral intraocular pressure lowering effect of prostaglandin analogues. Indian J Ophthalmol, 2014. Vol. 62. P. 575–579. https://doi.org/10.4103/0301-4738.129783

Received 30.11.2017

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Issue 1 (191), article 4

DOI:https://doi.org/10.15407/kvt191.01.060

Kibern. vyčisl. teh., 2018, Issue 1 (191), pp.

Bachynskyy M.V., PhD (Engineering), Docent,
Docent of Biotechnical Chair
e-mail: m_bachynskiy@ukr.net
Yavorskyy B.I., Dr. (Engineering), Professor,
Professor of Biotechnical Chair
e-mail: biotehnic0@gmail.com
Ivan Puluj Ternopil National Technical University,
Rus’ka av., 56, Ternopil, 46001, Ukraine

INFORMATIONAL ASPECTS OF THE HAPTIC STIMULATION BY THE LIGHT FOR CORRECTION OF THE HUMAN’ STATE

Introduction. The study of the laws and principles of information processes in the biological systems of the human body in extreme forms of its activities and the development of the theory of medical information systems of such appointment, taking into account the status and trends of convergence of society, ecosystems and technology become very relevant. This state of affairs makes it possible to affirm that it is an actual scientific and applied problem of radical change of the existing paradigm of designing information systems.
The purpose of the article is to specify the informational aspects of low intensity, haptic stimulation by the light, which is essential for correction of the functional state of an organism of the human being, who works in extreme conditions, to develop and study such methods and systems.
Methods. Analyses of requirements, functions and systems for designing synthesis of information technologies and the control biotechnical system of correction of the functional state of an organism of the human, who works in extreme conditions. The theoretical and experimental dependences between the stimulation energy of light emission diode (LED) and the energy are transferred through the layered bio media design. Mathematical modelling and computational simulation. Comparison of these real and model data.
Results. The base aspects requirements, functions and systems for designing synthesis of information technologies and the control biotechnical system of correction of the functional state of an organism of the human, who works in extreme conditions, low intensity, haptic stimulation by the light are defined. The methods for determining of intensity I0 of light emission diode, recursive expression , and formula for coefficient Cm , where M — quantity of bio media layers were developed. The bridges, which connects Maxwell’s phenomenological theory with the atomistic theory of matter and optics, were used. Computer simulation studies have confirmed the specification of requirements, functional and structural schemas of biotechnical system.
Conclusions. Thanking to specification of requirements possibility-using recursive determining of the light flux intensity after every bio media layer was got. Under the effect of recurstion low computation complexity was caused. Information technology means (for automation optimal control) of the human state under external influences on the organism was developed. Further study to confirm statistical significance in representative samples of observations was opened.

Keywords:haptic stimulate, light, information biotechnical system

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REFERENCES

1 NRC. 2024. Convergence: Facilitating Transdisciplinary Integration of Life Sciences, Physical Sciences, Engineering and Beyond. Washington, DC: The National Academies Press 153 p. URL: http://ribonode.ucsc.edu/SciEd/pdfs/ NAP_Convergence.pdf (Last accessed: 20.03.17).

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11 Gluckstad J., Palima D. Light Robotics — Structure-mediated Nanobiophotonics,Elsevier, 2017. 452 p.

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14 Okamoto K., Tashiro A., Chang Z., and Bereiter D. A. Bright light activates a trigeminal nociceptive pathway. Pain, 2010, vol. 149, No 2 pp. 235–242. https://doi.org/10.1016/j.pain.2010.02.004

15 Tuchin V.V. Optics of biological tissues. Methods of light scattering in medical diagnostics. M : Fizmatlit, 2013. 812 p. In Russian

16 Bachynskyy M.V., Stoyanov Yu. M., Yavorskyy B.I. Identification of parameters of dipole model of the LED radiation source. Scientific Journal of TNTU (Tern.), 2017, vol. 85, No1 pp. 118–125.

17 Bachynskyy M.V., Stoyanov Yu. M., Yavorskyy B.I. Mathematical modeling of LED radiation in the system of medical diagnostics. Scientific Journal of TNTU (Tern.), 2016, vol. 84, No4 pp. 124–130.

18 Bachynskyy M.V., Stoyanov Yu. M., Yavorskyy B.I. Determination of non-intensive light flux intensity after propagation through layered biological environment. Scientific Journal of TNTU (Tern.), 2017, vol. 86, No2 pp. 101–107.

19 HONGLITRONIC, Part: HL-508H238WC-MD. — Honglitronic. — 5.23.2012. — 5 p. [Electronic resource]. Access mode: http://leds.com.ua/assets/products/datasheets/ 121.pdf (last access: 20.03.17).

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21 Bachynskyy M.V., Tymkiv P.O., Demchuk L.B. Determination of lighting characteristics of low intensity medical light-emitting diodes. Methodic of measurement MB-001LED-2017. Ternopil : National Technical University named after Ivan Puluj, Testing laboratory of X-ray medical technique, 2012. 19 p. (In Ukrainian).

Received 15.11.2017

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Issue 1 (191), article 3

DOI:https://doi.org/10.15407/kvt191.01.045

Kibern. vyčisl. teh., 2018, Issue 1 (191), pp.

Grytsenko 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
Volkov О.Y., Senior Researcher,
Intellectual Control Department
e-mail: alexvolk@ukr.net
Komar M.M., Researcher,
Intellectual Control Department
e-mail: nickkomar08@gmail.com
Bogachuk Y.P., PhD (Engineering), Senior Researcher,
Intellectual Control Department
e-mail: dep185@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, Kiev, Ukraine

INTELLECTUALIZATION OF MODERN SYSTEMS OF AUTOMATIC CONTROL OF UNMANNED AERIAL VEHICLES

Introduction. The article discusses the actual questions of the need of creation of modern systems of automatic control of unmanned aerial vehicle (UAV) and describes new methods of its intellectualization. Today’s development of information technology requires accelerated development of the theory of intellectual control and the theory of systemic information technology. New technologies of intellectual control are extremely important for solving the problems of modern unmanned aviation.
The purpose of the article is to solve the issues of the development of the control system of UAV and to provide a number of measures aimed to ensuring its intellectualization. The approach considered in the article is based on the theory of high-precision remote control of dynamic objects and on the complex interaction of methods of theory of invariance, adaptive control and intellectualization of processes of UAV control.
Results. The development and implementation of control algorithms using functional program modules written in modern high-level programming languages in the computer environment based on microprocessors with a computing power sufficient to implement these algorithms in the form of a unified hardware and software complex of the integrated avionics.
The expansion of the range of functional capabilities of UAV control system that is offered to supplement the developed channels and algorithms of autopilot by the methods of intellectualization.
Conclusions. It is shown that combining the developed control laws for UAV autopilot into a unified hardware and software complex of integrated avionics and supplementing them with the proposed components of intellectualization will create a synergy effect and ensure the effectiveness and sustainability of the process of controlling the motion of the UAV.

Keywords: unmanned aerial vehicle, control system, invariance, intellectualization,

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REFERENCES

  1. Krasil’shchikovM.N., SerebryakovG.G.Modern information technologies in the tasks of navigation and guidance of unmanned maneuverable aircrafts. Moscow: FIZMATLIT, 2009. 556 p. (in Russian).
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Received 27.12.2017

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Issue 1 (191), article 2

DOI:https://doi.org/10.15407/kvt191.01.032

Kibern. vyčisl. teh., 2018, Issue 1 (191), pp.

Kyyko V.M., PhD (Engineering),
Senior Researcher of Pattern Recognition Department
e-mail: vkiiko@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

MAXIMUM MATCHING IN WEIGHTED BIPARTITE GRAPHS

Introduction. The most important algorithms for bipartite graphs maximum matching are observed. These algorithms either find maximum matching in non-weighted bipartite graph (e.g. Hopcroft and Karp’s algorithm — ) or choose among all matchings with maximum size one having maximal cost (e.g. Edmonds and Karp’s algorithm-). Provided that, in praxis new target settings and algorithms for finding maximum matching in bipartite graphs are also desirable.
The purpose of the article is to consider a new task setting and algorithms for maximum matching in weighted bipartite graphs as well as using these algorithms in fingerprint recognition.
Methods. Modified versions of finding maximum matching M in graph by searching and augmentation of M-augmenting paths are used.
Results. Weighted bipartite graph with a cost function , that associates each edge with one of two possible values (e.g. 0 or 1) is considered. Maximum matching in the graph in new setting consists in finding among all matchings containing maximum number of edges with weight 1, one having maximal cardinality. Two algorithms with complexity being modified versions of the Hopcroft-Karp algorithm are proposed. Examples of using these algorithms for removing gaps of lines and finding true correspondence of minutiae in fingerprint recognition are considered.
Conclusions. Proposed algorithms find maximum matching in input bipartite graph among all matchings having maximal cardinality in given subset of this graph edges. Using of proposed algorithms leads to increasing processing speed and reliability of fingerprint recognition.

Key words: maximum matching, bipartite graph, images

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REFERENCES

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12 H.V. Gasparian, A.A. Kirakosian. The comparison system of fingerprints by local features. Vestnik of RAU, Natural Science, Physics and Mathematics. 2006. P. 85–91. (in Russian).

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15 T. Cormen, C. Leiserson, R. Rivest and C. Stein. Introduction to algorithm. The MIT Press, 2002.

16 V.M. Kyyko, V.V. Matsello. Fingerprints recognition based on searching of corresponding points. Control systems and machines. No 3. 2005. P. 36–41 (in Russian).

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Received 24.11.2017

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Issue 1 (191), article 1

DOI:https://doi.org/10.15407/kvt191.01.005

Kibern. vyčisl. teh., 2018, Issue 1 (191), pp.

Surovtsev I.V., Dr (Engineering), Senior Researcher
Department of ecological digital systems
e-mail: dep175@irtc.org.ua , igorsur52@gmail.com
Galimov S.K., Postgraduate Student
Department of ecological digital systems
e-mail: dep175@irtc.org.ua
Tatarinov O.E., Researcher
Department of ecological digital systems
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,
Acad. Glushkov av., 40, Kiev, 03187, Ukraine

INFORMATION TECHNOLOGY FOR DETERMINING THE CONCENTRATION OF TOXIC ELEMENTS IN ENVIRONMENTAL OBJECTS

Introduction. Insufficient sensitivity of the existing systems of measuring low concentrations of chemical elements during the implementation of quality control of drinking water, food products and other natural objects, as well as the lack of necessary means for digital processing of weak signals of complex form, leads to the task of developing an effective information technology for determining the concentration of toxic elements.
The purpose of the article is to develop tools for information technology for determining the concentration of toxic elements. New methods of impulse inversion chronopotentiometry and ionometry to increase the sensitivity, reliability and functionality of the concentration measurement are used.
Methods. Transformation of data structure of the multi-component processes and new methods of a filtration and smoothing which are based on use of points of extremum and inflexion are applied at performance of digital processing of measurement signals. The transformation allows us to consider monotonically increasing signals of inversion as a linear sum of components, which are described by non symmetric functions of normal distribution. The received signal is simulated by solving the parametric identification problem in the class of one-dimensional regression models.
Results. The developed highly sensitive analytical system “Analyzer ICP” implements the created information technology. The system determines the mass concentration of 14 toxic elements (mercury, arsenic, lead, cadmium, zinc, copper, tin, nickel, cobalt, iron, manganese, selenium, iodine and chromium) with a sensitivity of up to 0.05 μg/dm3 (50 ppt) and six chemical elements (potassium, sodium, calcium, fluorine, ammonium and nitrates) in the range of 103 μg/dm3 to 6·107 μg/dm3 using ion-selective electrodes.
Conclusion. Information technology has an universal character, created tools can be used to analyze signals of various physical natures, in which the values are monotonically increasing or decreasing.

Keywords: transformation of the data structure, impulse chronopotentiometry, modelling, digital processing, information technolog.

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REFERENCES

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8 Surovtsev I.V., Galimova V.M., Mank V.V., Kopilevich V.A. Determination of heavy metals in aqueous ecosystems by the method of inversion chronopotentiometry. J. of water chem. and texnology. 2009. Vol. 31, No 6. P. 389–395.

9 Galimova V.M., Surovtsev I.V., Kopilevich V.A. Determination of Arsenic in the Water Using the Method of Inversion Chronopotentiometry. J. of water chem. and texnology. 2012. Vol. 34, No 6. P. 284–287.

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17 Britz D. Digital Simulation in Electrochemistry. Springer, Berlin Heidelberg, 2005. 338 p. https://doi.org/10.1007/b97996

18 Vasil’yev V.I., Surovtsev I.V. Inductive methods for detecting regularities, based on the theory of reduction. USiM. 1998. No. 5. P. 3–14 (in Russian).

19 Vasil’yev V.I., Surovtsev I.V. Practical aspects of the theory of reduction in problems of detection and modelling of regularities. USiM. 2001. No. 1. P. 6–15 (in Russian).

20 Finezilberg L.S. Information technologies for processing complex-shaped signals. Theory and practice. Kiev: Naukova dumka, 2008. 333 p. (in Russian).

21 Ivakhnenko A.G., Stepashko V.S. Noise immunity modelling. Kiev: Naukova dumka, 1985. 300 p. (in Russian).

22 Dolenko S.A. Neural network methods for solving inverse problems. Neuroinformatics-2013. XV All-Russian nuchno-tehn. Conf. Lectures on neuroinformatics. Moscow, 2013. P. 214–269 (in Russian).

23 Device for simulation of nonlinear models of physical objects: pat. 98987, Ukraine: IPC (2006) G05B 17/00, G06G 7/48. No a201008508; claimed 07.07.10; published 10.07.12, Bull. No 13. 3 p. (in Ukrainian).

24 Babak O.V., Surovtsev I.V., A.E. Tatarinov On the purposefulness of the search of variants models in the modelling of physical processes. USiM. 2012. No. 1. P. 3–7.

25 Surovtsev I.V. Transformation of data structure in determining the concentration by methods of inversion chronopotentiometry. KiVT. 2015. No. 180. P. 4–14 (in Russian).

26 Surovtsev I.V. Method of digital filtration of electrochemical signals in chronopotentiometry. KiVT. 2015. No. 182. P. 4–14 (in Russian).

27 Method for histogram digital filtration of chrono-potentiometric data: pat. 96367, Ukraine: IPC (2006) G01N 27/48. No a201005608; claimed 11.05.10; published 25.10.11, Bull. No 20. 8 p. (in Ukrainian).

28 Surovtsev I.V. Histogram method for electrochemical signal filtration. Naukovo-tekhnichna informatsiya. 2016. No. 1. P. 49–54 (in Ukrainian).

29 Inventor’s certificate 845600 USSR. Method for determining the spectrum of an analog signal / Skurikhin V.I., Ponomareva I.D., Siversky P.M., Tsepkov G.V.; published 07.07.1981 (in Russian).

30 Ponomareva I.D., Tsepkov G.V. Ultrafast Spectral Analysis. Probl. upravleniya i informatiki. 1998. No. 1. P. 107–114 (in Russian).

31 Ponomareva I.D., Surovtsev I.V. Mathematical modelling of the inertial process, which experiences a periodic perturbing effect. Probl. Bionics. 1987. Iss. 42. P. 111–114 (in Russian).

32 Surovtsev I.V The method of adaptive smoothing of electrochemical signals in chronopotentiometry. USiM. 2015. No. 5. P. 79–83 (in Russian).

33 Surovtsev I.V., Tatarinov A.E., Galimov S.K. The modelling of the Differential Chronopotentiograms by the Sum of Normal Distributions. USiM. 2009. No. 5. P. 40–45 (in Russian).

34 Babak O.V., Surovtsev I.V., Tatarinov A.E. Modelling of the inversion-chronopotentiometric process of measuring the mass concentration of a single heavy metal. USiM. 2012. No. 5. P. 88–92 (in Russian).

35 Tatarinov A.E., Surovtsev I.V., Babak O.V. Modelling of the inversion-chronopotentiometric process of joint measurement of the mass concentration of two heavy metals. USiM. 2013. No. 5. P. 84–87 (in Russian).

36 Tatarinov A.E., Galimov S.K., Surovtsev I.V., Babak O.V. Estimation of the quality of the modelling of the latent fragment of the differential graph of the chronopotentiogram of the inversion of heavy metals in the liquid sample of the polarograph. USiM. 2014. No. 2. P. 10–13 (in Russian).

37 Surovtsev I.V. Modelling of multicomponent signals in chronopotentiometry. KiVT. 2016. No. 185. P. 5–21 (in Russian).

38 Kaplan B.Ya. Impulse Polarography. Moscow: Khimiya, 1978. 239 p. (in Russian).

39 Surovtsev I.V., Tatarinov A.E. Information technology for measuring the concentration of chemical elements by the method of impulse chronopotentiometry. Automatics-2005. Khar’kov: KhPI, 2005. Vol. 1. P. 42–45 (in Russian).

40 Tatarinov A.E., Surovtsev I.V. Using the methods of impulse chronopotentiometry in measuring the concentration of heavy metals. Vesnik VPI. 2006. No. 6 (69). P. 101–105 (in Russian).

41 Device for measurement of concentration of heavy metals: pat. 96375, Ukraine: IPC (2006) G01N 27/48. No a201006798; claimed 02.06.10; published 25.10.11, Bull. No 20. 6 p. (in Ukrainian).

42 Device for measuring the concentration of toxic elements: pat. 107412, Ukraine: IPC (2006) G01N 27/48. No a201306295; claimed 21.05.13; published 25.12.14, Bull. No 24. 4 p. (in Ukrainian).

43 Analog-digital electro-chemical device for measurement of parameters of solutions: pat. 104062, Ukraine: IPC (2006) G01N 27/48. No a201206459; claimed 28.05.12; published 25.12.13, Bull. No 24. 5 p. (in Ukrainian).

44 Device for measuring parameters of aqueous solutions: pat. 111689, Ukraine: IPC (2006) G01N 27/48. No a201505019; claimed 22.05.15; published 25.05.16, Bull. No 10. 6 p.(in Ukrainian).

45 Surovtsev I.V., Galimov S.K. The algorithm for processing the data of concentration measurement using the chrono-ionometry method. USiM. 2016. No. 2. P. 85–91 (in Russian).

46 Surovtsev I.V., Babak O.V., Tatarinov O.E., Surovtseva T.V. Hardware and software complex “Analyzer ICP” for measuring the mass concentration of toxic elements. Nauka ta innovatsiyi, 2011. Vol. 7. No. 3. P. 45–46 (in Ukrainian).

47 Surovtsev I.V., Tatarinov O.E., Galimov S.K. Device of Inversion Chronopotentiometry for Determining the Concentration of Heavy Metals and Toxic Elements in Water. Bezpeka zhyttyediyal’nosti. 2013. No. 12. P. 37–40 (in Ukrainian).

48 Method for determinating iron in aqueous solutions: pat. 110752, Ukraine: IPC (2006) G01N 27/48, G01N 33/18, G01N 33/20, G01N 49/00. No a201413328; claimed 12.12.14; published 10.02.16, Bull. No 3. 3 p. (in Ukrainian).

49 Method for the determination of chrome in aqueous solutions: pat. 110893, Ukraine: IPC (2006) G01N 27/48, G01N 33/18, G01N 33/20, C01G 37/00. No a201412936; claimed 03.12.14; published 25.02.16, Bull. No 4. 4 p. (in Ukrainian).

50 Method for iodine determination in aqueous solutions: pat. 111040, Ukraine: IPC (2006) G01N 27/48, G01N 33/18, G01N 33/20, C01B 7/14. No a201501610; claimed 24.02.15; published 10.03.16, Bull. No 5. 4 p. (in Ukrainian).

51 Chronopotentiometric method for determining selenium in water solutions: patent 110744, Ukraine: IPC (2006) G01N 27/48, G01N 33/18, G01N 33/20, C01B 19/00. No No a201408492; claimed 25.07.14; published 10.02.16, Bull. No 3. 4 p. (in Ukrainian).

52 Chronopotentiometric method for the determination manganese in aqueous solutions: pat. 111000, Ukraine: IPC (2006) G01N 27/48, G01N 33/18, G01N 33/20, C01G 45/00. No a201406570; claimed 12.06.14; published 10.03.16, Bull. No 5. 4 p. (in Ukrainian).

53 Method of determination of calcium in aqueous solutions: pat. 113126, Ukraine: IPC (2006) G01N 27/48, G01N 27/49, G01N 33/18, G01N 33/20, C01F 11/00. No a201511155; claimed 13.11.15; published 12.12.16, Bull. No 23. 4 p. (in Ukrainian).

54 Method of determination of sodium in aqueous solutions: pat. 113248, Ukraine: IPC. (2006) G01N 27/48, G01N 27/49, G01N 33/18, G01N 33/20, C01D 13/00.No a201511153; claimed 13.11.15; published 26.12.16, Bull. No 24. 3 p.(in Ukrainian).

55 Method of determining potassium in aqueous solutions: pat. 113356, Ukraine: IPC. (2006) G01N 27/48, G01N 27/49, G01N 33/18, G01N 33/20, C01D 13/00. No a201511153; claimed 13.11.15; published 10.01.17, Bull. No 1. 4 p. (in Ukrainian).

56 Kopilevich V.A., Surovtsev I.V., Galimova V.M., Cossack K.G. Measurement procedure of the mass concentration of mercury, arsenic, nickel and cobalt in water by the inverse chronopotentiometry method: MVV 081/36-0762-11. Kyiv: Nats. un-t biotekhn. i pryrodokorystuvannya, 2011. 23 p. (in Ukrainian).

57 Kopilevich V.A., Surovtsev I.V., Galimova V.M., Cossack K.G. Measurement procedure of the mass concentration of lead, copper, zinc, and cadmium in water by the method of inversion chronopotentiometry: MVV 081/36-0790-11. Kyiv: Nats. un-t biotekhn. i pryrodokorystuvannya, 2011. 21 p. (in Ukrainian).

58 Kopilevich V.A., Surovtsev I.V., Galimova V.M., Cossack K.G. Measurement procedure of the mass concentration of moving forms of heavy metals and toxic elements (Pb, Cu, Zn, Cd, Hg, As, Ni, Co) in soils by the inverse chronopotentiometry method: MVV 081/36-0833-12. Kyiv: Nats. un-t biotekhn. i pryrodokorystuvannya, 2012. 26 p. (in Ukrainian).

59 Kopilevich V.A., Surovtsev I.V., Galimova V.M., Cossack K.G. Measurement procedure of the mass concentration of toxic elements (Se, Mn, Cr, I, Fe) in water by the method of inversion chronopotentiometry: MVV 081/36-0935-14. Kyiv: Nats. un-t biotekhn. i pryrodokorystuvannya, 2014. 25p. (in Ukrainian).

60 Kopilevich V.A., Surovtsev I.V., Galimova V.M. Measurement procedure of the mass concentration of potassium, sodium and calcium in water by chronopotentiometric ionometry method: MVB 081/36-1012-2015. Kyiv: Nats. un-t biotekhn. i pryrodokorystuvannya, 2015. 16 p. (in Ukrainian).

Received 12.12.2017