Issue 3 (189), article 1


Kibern. vyčisl. teh., 2017, Issue 3 (189), pp.

Orikhovska K.B., Postgraduate student,
Junior Researcher of the Department of Intelligent Automatic Systems
Fainzilberg L.S., Dr (Engineering), Associate Professor (Docent), Chief Researcher of Data Processing Department

International Research and Training Center for Information Technologies and Systems of the NAS of Ukraine and Ministry of Education and Science of Ukraine,
Acad. Glushkova av., 40, Kiev, 03680, Ukraine


Introduction. In the modern world, more attention is paid to the study of the behavior of complexly organized medical and biological systems. The fundamental concept of synergetics is the generalized entropy, which quantitatively characterizes the degree of the system chaoticness. Of special interest are studies of changes in the dynamic series chaotic parameters generated by various biological systems.
The purpose of the article is further development and experimental research of methods for analyzing the variability of physiological signals under external influences on the body.
Methods. Two alternative approaches of estimating the variability of dynamic series are investigated: based on the calculation of the sample variance relative changes and entropy estimates (in a sliding window with the specified parameters) in relation to the first window. The theoretical and experimental dependences between the Shannon entropy and the standard deviation for a normal distribution of a random variable that generates a dynamic series are studied. Comparison of these estimates with real and model data is carried out.
Results. To increase the sensitivity of entropy estimates to the variability of the dynamic series, it is proposed to move from a series of discrete entropy values at the -th point, calculated by the sliding window method, to its phase portrait on the plane , where is the estimate of the first derivative . For an integral assessment of the chaotic nature of physiological signals, it is suggested to estimate the area of the convex hull of the entropy phase portrait and the coordinates of the phase portrait gravity center , . Experimental studies have confirmed the diagnostic value of these parameters in the assessment of variability of the electrocardiograms and rhythmograms indices with external influences on the body (intravenous therapy, surgery and physical activity).
Conclusions. Deviations of the integral parameters of the entropy phase portrait under the effect of external influences on the organism were detected, which open new possibilities in the evaluation of the cardiac activity regulation in preventive and clinical medicine. These integral parameters require further study to confirm their statistical significance in representative samples of observations.

Keywords: variability of physiological signals, entropy estimates, diagnostic criteria.

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Received 5.06.2017

Issue 183, article 1

Fainzilberg Leonid S., Dr of Engineering, Chief Researcher of Data Processing Department of International Research and Training Center for Information Technologies and Systems National Academy of Sciences of Ukraine and of Ministry of Education and Science of Ukraine, av. Acad. Glushkova, 40, Kiev, 03680.

Orikhovska Kseniya B.,Postgraduate (PG) of International Research and Training Center for Information Technologies and Systems National Academy of Sciences of Ukraine and of Ministry of Education and Science of Ukraine, av. Acad. Glushkova, 40, Kiev, 03680,

Vakhovskyi Ivan V., Student of National Technical University of Ukraine “Kiev Polytechnical Institute”, av. Pobedy, 37, Kiev, 03056,

ASSESSMENT OF CHAOTIC FRAGMENTS’ SHAPE OF THE SINGLE-CHANNEL ELECTROCARDIOGRAM. Kibernetika i vyčislitel’naâ tehnika, 2016, issue 183, pp.4-24.

Introduction. Building an effective information technology (IT), which provides chaotic assessment of the electrocardiogram (ECG) fragments’ shape, has both cognitive and practical importance. Therefore, the problem of developing methods and computer tools that provide assessment not only by the rhythm of the heart, but also on other parameters of ECG that have diagnostic value is relevant.

The purpose of the article is to propose instrumental system for the study of single-channel ECG elements shape chaoticity, based on the various entropy assessments and make a comparative analysis of these estimates in the model and the real data.

Methods. The proposed instrumental system based on the national portable electrocardiograph FAZEGRAF® with the original finger electrodes sensor, which can record the ECG from the first standard lead. In addition to determining the chaoticity of parameters, that characterize the shape of the main elements of the ECG, also estimating the diagnostic features chaoticity. Introduced a number of improvements in the considered methods which determine the signal chaoticity degree. In particular, an original evaluation algorithm for permutation entropy evaluating that can automatically identify 5 classes of patterns is proposed.

Results. Processing of model and real data showed that the computing algorithms implemented in IT allow to adequately assessing the degree of signals chaoticity. Based on the parameters chaotic assessment, that carry information about the ECG elements shape, diagnostically important subtle signal differences in healthy and sick patients, as well as significant differences in parameters of the ECG elements shape chaoticity in people with varying degrees of organism fitness were found.

Conclusions. Instrumental system provides the convenience of experimental studies with searching for new biomarkers of cardiac abnormalities and evaluation of organism adaptation capabilities.

Keywords: heart rate, the entropy of the process, synergy, shape of ECG fragments.

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Received 08.12.2015


ISSUE 181, article 1


Kibern. vyčisl. teh., 2015, Issue 181, pp.

Fainzilberg L.S., Orikhovska K.B.

International Research and Training Center for Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine


Introduction. Building an effective IT that provides an assessment of the reserve capacity of the organism to physical and emotional overload has both cognitive and practical importance. The relevance of such IT is increasing in our time since it is necessary to provide reliable results in field conditions. This requires prompt, convenient and reliable tools for obtaining test results, which is to be clear not only the decision maker, but also to the examinee that has no medical education.
The purpose of the article is to propose a new information technology for assessing the adequacy the body’s reaction and recovery processes of the cardiovascular system of a human on a set of single-channel ECG parameters.
Methods. The proposed IT includes a set of interacting modules, in particular input module and ECG processing module, which realized on FAZAGRAF® complex. This complex provides recording of the ECG first standard lead and automatic detection of 32 ECG parameters and variability of the cardiac cycle in three states: at rest, immediately after dosage load and after 3 minutes of rest. A distinctive feature of the technology is that decisions on adequate or inadequate response of the organism to physical or emotional overload are realized by two methods — qualitative assessment and quantitative assessment.
Results. It is shown that a qualitative assessment of the reaction to the overload can be carried out on the basis of recognition of patterns’ classes generated by each triplet of measured parameters, and comparing the detected pattern with the dominant classes of each of the parameters. Quantitative assessment can be carried out based on the comparison of the generalized parameter with thresholds.
The algorithm for determining the dominant classes of parameters is proposed. Statistical analysis showed that the probability of appearance of patterns’ classes and generalized parameter values significantly different in the groups of trained and untrained persons. Examples of decision-making of the adequate and inadequate reaction of the organism on the overload are given.
Conclusions. The proposed IT satisfies the formulated requirements to field tools for testing the reserve capacity of the cardiovascular system during physical and emotional overloads.

Keywords: information technology, cardiovascular system, assessment of reserve capacity of the organism.

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Received 28.05.2015