Development of a method for differential analysis of data on the arterial blood oxygenation in healthy adults

Authors

DOI:

https://doi.org/10.15587/1729-4061.2021.244924

Keywords:

arterial blood oxygenation, variability, differential analysis, Poisson and Erlang distributions, COVID-19

Abstract

Monitoring of arterial blood saturation with oxygen (oxygenation) has gained special significance as a result of the COVID-19 pandemic. A new method for computer processing of saturation records (so-called SaO2 signals), based on the study of differentials (increments) from signals, was proposed. Finding a differential for a time series involves calculating the difference between the pairs of its adjacent elements. The differential is non-zero only if the elements in a pair are different. The study of differentials together with primary signals for a set of records (20 subjects) shows that the spectrum of observed levels of blood saturation is discrete and limited (from 2 to 10 levels). In addition, changes in saturation levels (switches) occur only between the nearest levels.

New indicators of the variability of blood saturation were proposed. These are the frequencies of saturation level switches (event intensities) and the intervals between them. It was established that these indicators are described by statistical distributions of Poisson and Erlang, respectively. Comparison of new variability indicators with the most reliable statistical – inter-quartile range – indicates that the new indicators also provide for the division of the data set into three subgroups according to the magnitude of variability. This division is statistically significant at a confidence level of 0.99 in both approaches, however, the division into sub-groups is slightly different in these methods.

It was shown that the proposed indicators of the variability of SaO2 signals are scale-invariant, that is, they do not depend on the length of observation interval. This is a consequence of the fractality of the positions of differentials in the observation interval. The established switch frequencies for subgroups in order of increasing variability are (0.06, 0.11, and 0.20) Hz. These frequencies are manifested on Fourier spectra of differentials of SaO2

Author Biographies

Gennady Chuiko, Petro Mohyla Black Sea National University

Doctor of Physical and Mathematical Sciences, Professor

Department of Computer Engineering

Yevhen Darnapuk, Petro Mohyla Black Sea National University

Postgraduate Student

Department of Computer Engineering

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Published

2021-12-16

How to Cite

Chuiko, G., & Darnapuk, Y. (2021). Development of a method for differential analysis of data on the arterial blood oxygenation in healthy adults. Eastern-European Journal of Enterprise Technologies, 6(4 (114), 37–43. https://doi.org/10.15587/1729-4061.2021.244924

Issue

Vol. 6 No. 4 (114) (2021): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2021 Gennady Chuiko, Yevhen Darnapuk

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