Effects of sudden changes in temperature on the general state of functional systems of the body can be assessed by the effects of local cold expesure on the neuromuscular system. Aim: to study electromyograms of the retracting muscle flexor of the little finger with weak static muscle tension (F1 = 50 N) during cold exposure. Methods. Altogether, 15 men aged 20-27 years participated in the study. We used one of the stochastic methods in the form of calculation of matrices of paired comparisons of electromyogram samples as an indicator of k pairs of matches of samples. Matrices of paired comparisons of samples were calculated for each test subject at a static voltage F1 = 50 N before and after local cold exposure. At the same time built a quasi-attractor dynamics, the behavior of x(t) and determined area of the quasi-attractor. In the end, the analysis of the state of the muscles of the subjects in the development of static force F was carried out on the basis of a comparison of the area of quasi-attractors in the form of S. Results. With weak (F1 = 50 N) static force after cold exposure, the area of quasi-attractor increased by 2.5 times, while in the matrices of paired comparisons of samples after local cold exposure, the number of matches of pairs of samples increased from 8 to 14. Conclusion: the regularities of changes in the number of matches of pairs of samples k in the matrices of paired comparisons with changes in the static force and under the influence of local cold exposure were revealed; statistically significant differences were found for such samples k and S before and after hypothermia.
The paper presents the study results of thermometry indices in boys and girls aged 20 - 28 years old living in the North more than 15 years and having different background of conditioning. Average age of surveyed was 22,8 years. The thermometer readings were register before and after local cooling. Traditional statistical ratios were calculated. They demonstrated Eskov-Zinchenko effect for tremor and quasiattractors areas, thermogramm pairwise comparison matrixes of three groups of surveyed before and after cooling from the perspective of self-organization. Quasiattractors showed the most diversity in comparison with stochastics and the thermogramm pairwise comparison matrixes in trained persons scarcely changed before and after cooling which was high adaptation parameter to cooling. This points significant differences in organism reactions in all the surveyed groups (untrained, poorly trained and strongly trained). Worked out methods to assess changes in the characteristics of quasiattractors can be used individually (for each test person) to assess your personal training level (in the repetition of measurements), and for group studies.
Transition from determinism to stochastic sand further to chaos (self-organization) in the study of biomechanical systems leads to the problem of chaotic dynamics modeling of a post- ural tremor. In general, there is a problem of identifying the voluntary human movements. In other words biophysics of complex systems has approached the global challenges of voluntary and involuntary performance of any motor functions. The possibility of modeling these processes qualitatively and quantitativelyisdiscussed. Specific models demonstrate the effectiveness of the compartment-cluster modeling of biosystems and possibilities of controlof such models from the neural networks of the brain. Comparative analysis of the simulated and real recorded signals has shown a high consistent dynamics of simulated and real signals of complex biological systems. In particular, changes in tremor parameters can be described by the change in quasi-attractors which essentially depend on the mental state of a person. In experiments it is shown in the form of sight effects, which are considered in the report as a test model on experimental data.
The paper presents the first attempt to combine methods of stochastics (mathematical statistics) and methods of theory of chaos and self-organization for studying such complex (chaotic) processes as postural tremor. It was established that when re-registering tremor in each subject by n=15 or n=30 obtained tremorograms do not exhibit normal distribution, and non-parametric distributions show distinctions at pairwise comparison on Wilcoxon test (only 2 or 3 pairs from 210 may belong to the same general population). Static physical load sharply changes this picture and the number of such ("similar") pairs increases. The estimation method for effect of a load on tremor is proposed. Simultaneously, within calculating quasi-attractors there is a clear picture of division of chaotic dynamics of tremor parameters with load and without load. Prospects of a new method application in physiological measurements are discussed. Limited method of stochas- tics in description of complexity is underlined, and necessity of calculation quasi-attractor´s parameters in phase space of state is proved.
In the framework of the compartmentae-cluster approach there is possibility of constructing adequate mathematical models that may be of several types supposedly stationary modes of biomechanical systems: in the traditional deterministic approach, when the state vector оf the biomechanical system have equal value and in the framework of the new theory of chaos and self-organization, when system state vector x=x(t)=const. The vector can occur within a bounded volume of the phase space of states. The message signals presented arbitrary human motion under the influence of an alcoholic beverage and the simulated signals for a given external exposure control (Ud=60 у.е.) was compared. Different values of the damping coefficient (b=1,1; b ´= 3,4) present the normal and unnormal state of human body. A comparison was made, the resulting figures and draw conclusions about the impact of damping coefficient on the size of the area of quasi-attractor. Present the state of the biological dynamical system (the human body) under alcohol effect and in normal state.
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