Estimation of the Parameters for Tremograms According to the Eskov–Zinchenko Effect

Abstract

The features of the chaotic dynamics of parameters of the neuromuscular system (tremors) were studied using conventional and novel biological methods based on a multidimensional phase-space representation. The dynamics of involuntary micromovements of limbs (finger tremor) both in the relaxation phase (F = 0) and under static load (F = 3N) was manifested in a change in the number of “coincidences” of randomly selected sample pairs (k) of matrices (15 × 15) in paired comparison of tremograms, which demonstrated the global statistical instability of the samples (statistical distribution functions f(x), spectral densities of signals, and autocorrelation A(t)). The samples that result from one experiment cannot be randomly repeated in the next experiment (with the same homeostasis). This represents a quantitative measure of the Eskov–Zinchenko effect in the analysis of chaotically changing statistical distribution functions of tremogram samples. In this paper, the use of quasi-attractor parameters of tremograms (their areas) is proposed to represent changes in the neuromuscular system when passing from one homeostasis to another (G₁ ≠ G₂).