Abstract

BackgroundThe Poincaré plot method can be used for both qualitative and quantitative assessment of self-similarity in usually periodic functions, hence the idea of applying it to the study of homeostasis of living organisms. From the analysis of numerous scientific data, it can be concluded that hand functionality can be correlated with the state of the human body as a biological system exposed to various forms of ontogenetic stress.MethodsWe used the Poincaré plot method to analyze the variability of hand grip strength (HGS), as an entropic biomarker of aging, during 60 repetitive tests of the dominant and nondominant hand, in young and older healthy subjects. An observational cross-sectional study was performed on 80 young adults (18–22 years old, mean age 20.01 years) and 80 older people (65–69 years old, mean age 67.13 years), with a sex ratio of 1:1 for both groups. For statistical analysis, we applied univariate descriptive statistics and inferential statistics (Shapiro–Wilk test, Mann–Whitney U-test for independent large samples, with the determination of the effect size coefficient r, and simple linear regression. We calculated the effect of fatigue and the Poincaré indices SD1, SD2, SD1/SD2 and the area of the fitting ellipse (AFE) for the test values of each subject.ResultsThe analysis of the differences between groups revealed statistically significant results for most HGS-derived indices (p ≤ 0.05), and the magnitude of the differences indicated, in most situations, a large effect size (r > 0.5). Our results demonstrate that the proposed repetitive HGS testing indicates relevant differences between young and older healthy subjects. Through the mathematical modeling of data and the application of the concept of entropy, we provide arguments supporting this new design of HGS testing.ConclusionsOur results indicate that the variability of HGS during serial testing, which reflects complex repetitive biomechanical functions, represents an efficient indicator for differentiation between young and older hand function patterns from an entropic perspective. In practical terms, the variability of HGS, evaluated by the new serial testing design, can be considered an attractive and relatively simple biomarker to use for gerontological studies.

Highlights

  • The Poincaré plot method can be used for both qualitative and quantitative assessment of selfsimilarity in usually periodic functions, the idea of applying it to the study of homeostasis of living organisms

  • Through the mathematical modeling of data and the application of the concept of entropy, we provide arguments supporting this new design of hand grip strength (HGS) testing

  • Our results indicate that the variability of HGS during serial testing represents an efficient indicator for differentiation between young and older hand function patterns from an entropic perspective

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Summary

Introduction

The Poincaré plot method can be used for both qualitative and quantitative assessment of selfsimilarity in usually periodic functions, the idea of applying it to the study of homeostasis of living organisms. The Poincaré plot is based on the concept of constructing a return map (recurrence plot) of a time series of data and quantifies the recurrence, self-similarity, or periodicity of state variables of systems [1]. Such analyses of the behavior of physical systems under different circumstances appeal to the concept of entropy. By analysing the geometric characteristics of the graphs plotted by the Poincaré method, it is possible to extract quantitative variables that help to characterize the dynamics of the systems taken into account [3]

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