Issue 3 (193), article 5

DOI:https://doi.org/10.15407/kvt192.03.083

Kibern. vyčisl. teh., 2018, Issue 3 (193), pp.

Kiforenko S.I.1, DSc (Biology), Senior Researcher,
Leading Researcher of Dep. of Application Mathematical
and Technical Methods in Biology and Medicine
e-mail: skifor@ukr.net

Hontar T.M.1, PhD (Biology), Senior Researcher,
Dep. of Application Mathematical and Technical Methods in Biology and Medicine
e-mail: gtm_kiev@ukr.net

Ivaskiva K.Y.2, PhD (Medicine), Senior Researcher,
Scientific-advisory of Dep. of Ambulatory and Preventive Care for Patients with Endocrine Pathology
e-mail: _k_iva@ukr.net

Obelets T.A.3, Computer Systems Analyst
e-mail: obel.tet@gmail.com

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

2 State Institution “V.P. Komisarenko Institute of Endocrinology and Metabolism of NAMS of Ukraine”, 69, Vyshgorodska St., Kyiv, 04114, Ukraine

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

INFORMATIONAL DECISION SUPPORT SYSTEM FOR MONITORING AND CORRECTING SOMATIC HEALTH

Introduction. Somatic health is the most important component of human health. It is the physical status that has a responsible role in the material and energy provision of the functioning of the physiological systems of the organism and their maintenance within the boundaries of the homeostatic norm. Emphasis on the motivation and self-control of their health, on an adequate orientation in the use of modern health-saving technologies is relevant.

The purpose of the article is to create a decision support system for increasing awareness of the health status and improve the efficiency of correcting the state of somatic health by using modern computer and mobile technologies.

Methods. The paper describes the information technology of quantitative assessment and correction of a person’s physical health, which is based on the information-structural model of a person’s physical health. A software-algorithmic complex for use in personal computers and mobile applications to support decision-making in the selection of recreational activities has been developed.

Results. The information structure of physical health was developed from the viewpoint of management theory, taking into account the subjective-objective aspects of evaluation and the multidimensionality of the research object. To support decision making in assessing health status and selecting preventive measures, a set of computer programs “HEALTH-ENERGY BALANCE ” has been developed. The basis of the complex is the modules “Early Diagnosis” — for assessing the condition and “Energobalance” — to support decision making when choosing a balanced diet, adequate activity and daily energy costs. Given the current trends in the development of the mHealth industry, this software is adapted for use in mobile devices.

Conclusion. The developed technology allows, using non-invasive techniques, to quantify the state of physical health. Depending on the position of the evaluation criterion on the diagnostic scale, the user is given the opportunity to choose the appropriate recreational techniques and minimize the mismatch between the energy value of the food ration and energy expenditure in selecting the activity mode. Implementation of the developed algorithms in mobile Android applications to the smartphone increases the effectiveness of supporting independent decision-making when organizing the life of the user.

Keywords: somatic health, automated information technology, objectively-subjective evaluation, software, mobile applications.

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REFERENCES
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Recieved 03.06.2018

Issue 3 (193), article 4

DOI:https://doi.org/10.15407/kvt192.03.064

Kibern. vyčisl. teh., 2018, Issue 3 (193), pp.

Shakhlina L.Ya.-G.1, DSc. (Medicine), Professor,
Professor of Sport Medicine cafedra
e-mail: sportmedkafedra@gmail.com

Aralova N.I.2, PhD. (Engineering),Senior Researcher,
Senior Researcher of Dept. of Optimization of Controlled Processes
e-mail: aralova@ukr.net

1 National University of Physical Education and Sport of Ukraine
Fiscultury Street, 1, Kiev, 03150, Ukraine

2 Institute of Cybernetics of National Academy of Science of Ukraine, Acad.Glushkov av., 40, Kiev, 03187, Ukraine

FORECASTING THE ORGANISM REACTION OF THE ATHLETES ON INHIBITING HYPOXIC MIXTURES ON THE MATHEMATICAL MODEL OF THE FUNCTIONAL RESPIRATION SYSTEM

Introduction. In the modern sports of higher achievements, the issues of training and competitive activity of athletes using the hypoxic factor in natural-mountain conditions or with artificial hypoxic training with the use of pressure chambers or hypoxicators continue to attract great interest among specialists in the field of physiology, medicine, sports pedagogy. The influence of reproductive hormones on the functional breathing system responsible for the aerobic capacity of the female body remains insufficiently studied. There are no scientifically substantiated programs for training athletes, mainly developing the quality of endurance, in conditions of hypoxic hypoxia, taking into account the phases of the menstrual cycle.

The purpose of the article is to determine the reaction of the functional breathing system and to reveal the degree of tissue hypoxia in athletes when inhaled hypoxic gas mixture with 11% oxygen in different phases of the menstrual cycle.

Results. On the mathematical model of the functional breathing system, based on physiological examination data, an imitation of a hypoxic mixture with athletes was performed with athletes of 11% oxygen in different phases of the menstrual cycle. The partial pressures and voltages of oxygen in alveolar air, arterial and mixed venous blood, heart, brain and skeletal muscle tissues were calculated. Numerical experiments were also performed with the replacement of the real values of the minute volume of respiration and the minute volume of blood in the corresponding phases of MC for adaptation processes in other phases of the cycle.

Conclusions. The results of the prediction on the mathematical model of the respiratory system of the athlete’s reactions to the inhalation of hypoxic mixtures testify to the specificity of functional self-regulation and, consequently, the adaptive capabilities to the hypoxia of the female body during cyclic changes in the hormonal status in different phases of the menstrual cycle. The results of preliminary studies show that under hypoxic conditions, as a result of inhalation of a gas mixture with 11% oxygen without a compenetration increase in pulmonary ventilation and systemic circulation, the oxygen tension in the body tissues may be below the critical level and with different degrees of expression in different phases of the MC, which is confirmed by the presented results of calculation on a mathematical model of oxygen tension in the studied tissues.

The obtained results testify to the need for further study of the individual reactions of the organism of athletes in conditions of hypoxia for the scientific substantiation of sports training for women taking into account the biological characteristics of their organism.

Keywords: mathematical model of the functional breathing system, training process of athletes, interval hypoxic training, phases of the menstrual cycle, functional self-organization of the organism

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Received 04.05.2018

Issue 3 (193), article 3

DOI:https://doi.org/10.15407/kvt192.03.043

Kibern. vyčisl. teh., 2018, Issue 3 (193), pp.

Vovk M.I., PhD (Biology), Senior Researcher,
Head of Bioelectrical Control & Medical Cybernetics Dep.
e-mail: vovk@irtc.org.ua; imvovk3940@gmail.com

Galyan Ye.B., PhD (Engineering), Researcher,
Bioelectrical Control & Medical Cybernetics Dep.
e-mail: galian@irtc.org.ua

Kutsyak A.А., PhD (Engineering), Researcher,
Bioelectrical Control & Medical Cybernetics Dep.
e-mail: spirotech85@ukr.net

Lauta A.D., PhD (Medicine), Senior Researcher,
Bioelectrical Control & Medical Cybernetics Dep.
e-mail: dep140@irtc.org.ua

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

FORMATION OF INDIVIDUAL COMPLEX OF CONTROL ACTIONS FOR MOTOR AND SPEECH REHABILITATION AFTER A STROKE

Introduction. At present, one of the leading directions in the healthcare system is an individual approach to treatment. Restoration of movements and oral speech after a stroke suggests the formation of an individual complex of control actions – programs, techniques for general limb movements, fine motor hand training to reduce the deficit of motor and speech functions acquired as a result of pathology.

The purpose of the article is to determine on the basis of which algorithms, the informative criteria for estimating the deficit of motor and speech functions, as well as rules to be solved, an individual set of movements, programs and training schedule to restore motor and speech functions after a stroke are formed.

Results. A general and additional algorithms for the formation of an individual complex of control actions for motor and speech functions rehabilitation after a stroke have been developed. According to the algorithms, the patient is tested for general and specific contraindications to the use of muscle electrical stimulation and / or biofeedback training, quantitative assessment of motor and speech functions, muscle tonus according to new original techniques, verification of limitations to the application of programs and the duration of training. Additional algorithms are designed taking into account both hyper- and hypotonic parameters. A special feature of these algorithms is the introduction of additional restrictions, for which intervals of muscle tone values are formed.

Decision rules have been developed using the algebra of predicates, logical variables corresponding to the specified criteria and indicators. According to these rules, in each stage of rehabilitation, a set of movements and training programs recommended by priority (“Synthesis”, “Donor”, “Threshold”, “Biofeedback” according to TRENAR® technology) and their schedule are determined in binary form.

Conclusions. The considered approach to the formation of an individual complex of control actions for movement and speech rehabilitation after a stroke is the theoretical basis to synthesize the mobile information technology of digital medicine for assistance the physician in diagnosing and carrying out individual rehabilitation of motor and speech functions after a stroke.

Keywords: stroke, movement, speech, rehabilitation, quantitative assessment, algorithm, decision rules, individual control actions, programs, electrical muscle stimulation, biofeedback training.

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REFERENCES1.    

1.    Vovk M.I. New opportunities for movement and speech rehabilitation. Kibernetika i vyčislitel’naâ tehnika. 2016. Iss.186. P. 78–93 (in Russian).
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Received 4.06.2018

Issue 3 (193), article 2

DOI:https://doi.org/10.15407/kvt192.03.027

Kibern. vyčisl. teh., 2018, Issue 3 (193), pp.

Antomonov M.Y., DSc (Biology), Professor,
Chief Researcher of the Laboratory of Epidemiological Research and Medical Informatics
e-mail: antomonov@gmail.com
State Institution “O.M. Marzіeiev Institute for Public Health of the National Academy of Medical Sciences of Ukraine”, 50,  Popudrenko str.  Кyiv, 02660

INFORMATION TECHNOLOGY FOR CONSTRUCTING THE COMPOSITE INDICES FOR DATA OF DIFFERENT TYPES USED IN MEDICAL AND ENVIRONMENTAL STUDIES

Introduction. Information technologies used in medical and environmental researches often deal wiht huge amounts of information processing. These technologies allow us to identify and investigate previously hidden dependencies and interactions in complex environmental, medical and biological systems, and on the other hand, it is accompanied by the analysis of large data sets, some of which (sometimes most of them) have an uninformative (noisy) character. One of the ways of solving this problem are the methods of constructing composite indices (CI), i.e. complex indicators, which allow to perform an integral assessment of the state and functioning of ecological, medical and biological systems.

The purpose of the paper is to develop a generalized information technology for constructing composite indices for different types of data used in medical and environmental studies.

Results. Medical and ecological researches include two main components: analysis of the states of both human health and of the environment; in solving such problems it is necessary to evaluate and analyze the state of the bioobject according to the data of different types: quantitative, rank, binary and qualitative variables. The developed general information technology is oriented on supporting the solution of a wide range of medical and hygienic tasks and integrates various approaches to processing and analysing of data of different types. Proposed technology consists of four stages: the formation and initial analysis of an initial indicators set, the calculation and normalization for obtainig unnamed equivalents, the actual design of the composite indices, and their verification. The implementation of this technology makes it possible to compare data of different dimensions, determine the significance of specific characteristics in a general research totality, to evaluate the integral state and to classify the research objects.

Conclusion. The proposed information technology for the construction of composite indices based on data of different types: quantitative, rank, binary and qualitative variables, is an effective tool for determining and comparing the state of bioobjects of different nature, and its use makes it possible to avoid mistakes in the incorrect application of mathematical methods for processing medical and ecological information.

Keywords: information technology, composite indicators, processing medical and ecological quantitative, rank, binary and qualitative variables.

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Resieved 11.06.2018

Issue 3 (193), article 1

DOI:https://doi.org/10.15407/kvt192.03.005

Kibern. vyčisl. teh., 2018, Issue 2 (192), pp.

Revunova E.G., Ph.D. (Engineering),
Senior Researcher Department of Neural Information Processing Technologies
e-mail: egrevunova@gmail.com

Rachkovskij D.A., DSc. (Engineering),
Leading Researcher, Department of Neural Information Processing Technologies
e-mail: dar@infrm.kiev.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. Glushkova av., 40, Kiev, 03187, Ukraine

RANDOM PROJECTION AND TRUNCATED SVD FOR ESTIMATING DIRECTION OF ARRIVAL IN ANTENNA ARRAY

Introduction. The need to solve inverse problems arises in many areas of science and technology in connection with the recovery of the object signal based on the results of indirect remote measurements. In the case where the transformation matrix has a high conditional number, the sequence of its singular numbers falls to zero, and the output of the measuring system contains noise, the problem of estimating the input vector is called discrete ill-posed problem (DIP). It is known that the DIP solution using pseudoinverse of the input-output transformation matrix is unstable. To overcome the instability and to improve the accuracy of the solution, regularization methods are used.

Our approaches to ensuring the stability of the DIP solution (truncated singular decomposition (TSVD) and random projection (RP)) use the integer regularization parameter, which is the number of terms of the linear model. Regularization with an integer parameter makes it possible to provide a model close to the best in terms of the accuracy of the input vector recovery, and also to reduce the computational complexity by reducing the dimensionality of the problem.

The purpose of the article is to develop an approach to estimating the direction of arrival of signals in the antenna array using the DIP solution, to compare the results with the well-known MUSIC method, to reveal the advantages and disadvantages of the methods.

Results. Comparison of TSVD and MUSIC (implemented in real numbers) when working with correlated sources and five snapshots showed the advantage of TSVD in terms of the power of the useful signal Pratio by 2.2 times with the number of antenna elements K = 15 and by 4.7 times with K = 90. The advantage of TSVD in Pratio is by 3.7 times for K = 15 and by 4.2 times for K = 90. Comparison of RP and MUSIC (implemented in real numbers), when working with correlated sources and five snapshots, showed the advantage of RP in Pratio by 3 times at K = 15 and by 4.4 times at K = 90. When working with 100 snapshots, the advantage of RP in Pratio is by 3.8 times for K = 15 and by 4.2 times for K = 90.

Conclusions. The approach to determining the direction of arrival based on the l2-regularization methods provides a stable solution in the case of a small number of snapshots, high noise and correlated source signals. Methods of determining the direction of arrival based on l2-regularization, in contrast to l1-regularization, do not impose restrictions on the properties of the input-output transformation matrix, do not require a priori information on the number of signal sources, allow constructing efficient hardware implementations.

Keywords: Direction of arrival estimation, truncated singular value decomposition, random projection, MUSIC.

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Received 15.05.2018

Issue 3 (193)

DOI:https://doi.org/10.15407/kvt193.03

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TABLE OF CONTENTS:

Informatics and Information Technologies:
Revunova E.G., Rachkovskij D.A.
Random Projection and Truncated SVD for Estimating Direction of Arrival in Antenna Array

Antomonov M.Y.
Information Technology for Constructing the Composite Indices for Data of Different Types Used in Medical and Environmental Studies

Intellectual Control and Systems:

Vovk M.I., Galyan Ye.B., Kutsyak A.А., Lauta A.D.
Formation of Individual Complex of Control Actions for Motor and Speech Rehabilitation after a Stroke

Medical and Biological Cybernetics:

Shakhlina L.Ya.-G., Aralova N.I.
Forecasting the Organism Reaction of the Athletes on Inhibiting Hypoxic Mixtures on the Mathematical Model of the Functional Respiration System

Kiforenko S.I., Hontar T.M., Ivaskiva K.Y., Obelets T.A.
Informational Decision Support System for Monitoring and Correcting Somatic Health

Issue 2 (192), article 6

DOI:https://doi.org/10.15407/kvt192.02.084

Kibern. vyčisl. teh., 2018, Issue 2 (192), pp.

Zlepko S.M.1,
D.Sc. (Engineering), Professor,
Head of the Department of Biomedical Engineering
e-mail: smzlepko@ukr.net
Chernyshova T.A.2, Doctor
e-mail: tetyana.che@gmail.com
Maevsky O.E.3, Dr (Medical), Professor,
Head of the Department of Histology
e-mail: maevskyalex8@gmail.com
Krivonosov V.E.4, docent,
Department of Biomedical Engineering
e-mail: yhtverf007@ukr.net
Azarkhov O.Y., Dr (Medical), Professor,
Head of the Department of Biomedical Engineering
e-mail: azarhov55@mail.ru

1Vinnytsia National Technical University,
Khm. highway 95, 21021, Vinnytsia, Ukraine
2Medical Center of National Aviation University,
Cosmonaut Komarov ave., 1, 03058, Kyiv, Ukraine
3Nicholay Pirogov Vinnitsa National Medical University,
Pyrohova str, 56, 21000, Vinnytsia, Ukraine
4Priazovsky State Technical University,
Universytetska str, 7, 87500, Mariupol, Ukraine

INFORMATION TECHNOLOGY OF DETERMINING CIRCULAR TUMOR CELLS IN HUMAN BLOOD

Introduction. The development of information systems and technologies for the processing of medical images of cells obtained in the study of histological preparations is one of the most important and priority directions of modern medical science.
The purpose of the article is to detect the CPR at various localizations of malignant neoplasms is currently one of the topical issues in oncology.
Results. A distinctive feature of the CPR is the aggressive metastatic potential, which allows them to be considered as the main mechanism of tumor progression. The article describes the methods of detecting the CPC, the functions and operations of image processing. The modern methods and algorithms for processing and restoring biomedical images are analyzed. The work of information technology for the determination of circulating tumor cells in human blood is given step by step. A comparison of the developed technology and existing analogues is made.
Conclusions. Unlike the existing technology, it detects a 4-micromycle GPC in the study of blood samples from patients with micellar lung cancer. The doctor, thus, received an automatic technology for the determination of the CPP in peripheral or venous blood with high reliability and informativeness, with maximum preservation of the integrity and invulnerability of circulating tumor cells. The analysis of literary sources and their own clinical studies have confirmed that only technologies based on the ISET method allow the detection of very rare circulating trophoblast cells of the fetus from the mother’s blood.

Keywords: technology, circulating tumor cell, medical image, histology, treatment, definition, criterion.

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REFERENCES

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20 Chernyshova T.A, Zlepko S.M., Timchik S.V., Krivonosov V.Ye., Zlepko O.S. Information system for obtaining and processing microscopic images of circulating tumor cells (CPC). Achievements of clinical and experimental medicine. 2017. No 4 (32). P. 39–46.

21 Chernishova T.A., Zlepko S.M., Azarkhov O.Yu., Danilkov S.O., Krivonosov V.Ye., Baranovskyi D.M. Medical Informatics and Engineering: Sciences. Pract. Journal 2017. No 4 (40). P. 30–35. (in Ukrainian).

Received 03.04.2018

Issue 2 (192), article 5

DOI:https://doi.org/10.15407/kvt192.02.072

Kibern. vyčisl. teh., 2018, Issue 2 (192), pp.

Rysovana L.M.1,
Assistant,
Department of Medical and Biological Physics and Medical Informatics
e-mail: rluba_24@ukr.net
Vуsotska O.V.2,
Dr (Engineering), Professor,
Professor of the Department of Information Control Systems
e-mail: evisotska@ukr.net
1Kharkov National Medical University,
Nauky ave., 4, 61022, Kharkiv, Ukraine
2Kharkov National University of Radio Electronics,
Nauky ave., 14, 61166, Kharkiv, Ukraine

INFORMATION SYSTEM OF DETECTION OF EMOTIONAL AND COGNITIVE DISORDERS IN PATIENTS WITH DISCIRCULATORY ENCEPHALOPATHY

Introduction. In modern conditions, there are topical issues of studying the mechanisms of formation and specificity of clinical manifestations of discirculatory encephalopathy in the able-bodied population. A large number of interrelated indicators that characterize emotional and cognitive disorders, the analysis of which requires the use of mathematical methods and software, determined the need to develop an information system for the detection of emotional and cognitive disorders in patients with discirculatory encephalopathy.
The purpose of the article is to develop a medical information system for the detection of emotional and cognitive disorders in patients with discirculatory encephalopathy, which increases the accuracy of diagnosis.
Materials and methods. The article uses mathematical statistics methods for processing diagnostic information; methods of mathematical modeling for constructing mathematical models for detecting the likelihood of emotional disorders and identifying and determining the severity of cognitive disorders in patients with discirculatory encephalopathy; methodical bases of construction of information technologies in medicine at construction of information system of revealing emotional and cognitive disorders in patients with discirculatory encephalopathy.
Results. During the writing of the article, a method was developed for detecting emotional and cognitive disorders in patients with discirculatory encephalopathy, including the definition of the likelihood of emotional disorders, the exposure vector for psychocorrection, the detection of cognitive disorders and determining their severity, and predicting the further development of cognitive disorders. A structural diagram of the medical information system “СognitiveDE” has been developed, which determines the composition and purpose of its main modules, and has allowed to develop a methodological basis for describing the interaction of the elements of the biological and technical subsystems. The software of the medical information system “СognitiveDE” was verified, which showed the compliance of the results of the individual stages of the system development with the requirements and restrictions formulated for them.
Conclusions. Using the developed method for detecting emotional and cognitive disorders in patients with discirculatory encephalopathy, based on developed mathematical models for determining the likelihood of emotional disorders and determining the severity of cognitive disorders, allows correctly diagnosing emotional and cognitive disorders.
The presented medical information system can be used by doctors of the neurological and psychiatric departments and medical psychologists to improve the accuracy and reduce the time of diagnosis of emotional and cognitive disorders.

Keywords: medical information system, assessment method, cognitive and emotional disorders, discirculatory encephalopathy.

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Received 26.02.2018

Issue 2 (192), article 4

DOI:https://doi.org/10.15407/kvt192.02.061

Kibern. vyčisl. teh., 2018, Issue 2 (192), pp.

Buzynovsky А.B.1,
PhD student,
e-mail: arturdoc1983@ukr.net
Kovalenko A.S.1,
D.Sci. (Medicine), Professor,
Head of Medical Information Systems Department
e-mail: alexkovalenko@yandex.ua
Bayazitov N.R.2,
D.Sci. (Mdicine),
Professor at the Surgery Department
e-mail: ics_video@ukr.net
Godlevsky L.S.2,
D.Sci. (Medicine), Professor,
Chief of the Department of Biophysics, Informatics and Medical Devices
e-mail: godlevskyleonid@yahoo.com

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,
Acad. Glushkova av., 40, Kiev, 03187, Ukraine
2Odessa National Medical University,
Valekhovsky Lane, 2, Odessa, 65082, Ukraine

THE EFFECTIVENESS OF SURGEON DECISION ON PAIN SYNDROME OF PELVIC ORIGIN TREATMENT IN WOMEN ESTIMATED WITH THE MODEL OF DECISION TREE

Introduction. The problem of correct diagnostics with the decision on the consequent adequate treatment of diseases which are causative for pelvic pain syndrome in women is actual for 15–24% women of fertile age.
The purpose of the work is to investigate the effectiveness of different methods of treatment women with pain syndrome originated from pelvis and lower part of abdomen on the basis of retrospective analysis of 1092 histories of diseases during 2013–2017 р.р.
Methods. Method of decision tree building up was used. The probability of different outcomes — restoration of health, recurrence of the disease along with the perioperative complications as well as duration of treatment in each case were taken into consideration as informative indices for decision tree composing. On the basis of mentioned data the index of effective period of treatment (EPT) was calculated. Period of observation was six months from the moment of disease diagnostics.
Results. It was established that the probability of complete health restoration was 0,83 after surgical treatment and 0,62 after drug treatment. In case of initial inefficiency of drug treatment the probability of restoration of health as a result of surgical intervention was 0,40. The EPT in surgically treated patients was less than EPT in patients with therapeutic treatment by 3,29 times at the moment of making decision on the method of treatment.
Conclusions. It was concluded that early decision on surgical intervention as a method of diagnostics and treatment was more effective when compared with the drug method of treatment women with pelvic pain syndrome. Dependence of the treatment effects upon perioperative complications serve as forecasting data for individual medical care delivered during postoperative period.

Keywords: tree of decision, undertaking of decision in surgery, pain syndrome, the effectiveness of treatment estimation.

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REFERENCES

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Reseived 12.10.2017

Issue 2 (192), article 3

DOI:https://doi.org/10.15407/kvt192.02.044

Kibern. vyčisl. teh., 2018, Issue 2 (192), pp.

Zhiteckii L.S.,
PhD (Engineering),
Acting Head of the Department of Intelligent Automatic Systems
e-mail: leonid_zhiteckii@i.ua
Solovchuk K.Yu.,
PhD Student
e-mail: solovchuk_ok@ukr.net

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

ADAPTIVE STABILIZATION OF SOME MULTIVARIABLE SYSTEMS WITH NONSQUARE GAIN MATRICES OF FULL RANK

Introduction. The paper states and solves a new problem concerning the adaptive stabilization of a specific class of linear multivariable discrete-time memoryless systems with nonsquare gain matrices at their equilibrium states. This class includes the multivariable systems in which the number of outputs exceeds the number of control inputs. It is assumed that the unknown gain matrices have full rank.
The purpose of this paper is to answer the question of how the pseudoinverse model-based adaptive approach might be utilized to deal with the uncertain multivariable memoryless system if the number of control inputs is less than the number of outputs.
Results. It is shown that the parameter estimates generated by the standard adaptive projection recursive procedure converge always to some finite values for any initial values of system’s parameters. Based on these ultimate features, it is proved that the adaptive pseudoinverse model-based control law makes it possible to achieve the equilibrium state of the nonsquare system to be controlled. The asymptotical properties of the adaptive feedback control system derived theoretically are substantiated by a simulation experiment.
Conclusion. It is established that the ultimate behavior of the closed-loop control system utilizing the adaptive pseudoinverse model-based concept is satisfactory.

Keywords: adaptive control, multivariable system, discrete time, feedback, pseudoinversion, stability, uncertainty.

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Received 29.03.2018