The article presents the relevance of the problem, defines the research purpose: to compare the average life expectancy of the population in the areas of the Tula region with different contents of heavy metals in the class of causes of death “Respiratory diseases ”. The authors used the data of the regional mortality register, the results of analyzes of the content of heavy metals (copper, lead, zinc, nickel) in the soil by atomic absorption spectroscopy, and the calculation of the average life expectancy by the algebraic model of constructive logic. The results indicate a decrease in average life expectancy due to the presence of heavy metals in the soil, but the average life expectancy in both contaminated and non-contaminated areas is gradually increasing.

Sports of the highest achievements requires the fullest possible use of the psychophysical capabilities of an athlete, which requires a fundamentally different approach, compared to mass sports, in the preparation of athletes using modern scientific methods for diagnosing the functional state of the body (FSB).Conducting scientific research with the required quality needs the use of multivariate analysis of the obtained primary data characterizing the FSB. Analysis by individual factors or analysis of only the final result does not allow to identify weaknesses and assess the reserves of the athlete’s body.The indicated requirements for multivariate analysis are satisfied by the Algebraic Model of Constructive Logic Algorithm (AMCLA), which is used in healthcare. AMCLA as an analytical tool allows performing complex analytical calculations and building expert systems on its basis. The AMCLA is based on the logic of predicates, which fundamentally distinguishes this mathematical apparatus from neural networks. The use of AMCLA cannot be considered as an alternative to the use of others methods of multivariate analysis. The best is the result of the analysis, confirmed by fundamentally different methods. Comparative analytical calculations with neural network algorithms have shown coincidence in the fundamental components of the result. Nevertheless, AMCLA can also identify the most characteristic differences, evaluate restrictions in the choice of treatment and the correct choice of factors, which is important in analytical studies in biomedical research.To participate in the study, 182 qualified male athletes aged 19–22 years (20.5±1.5) were selected, with different levels of functional reserves. They were engaged in sports with a high dynamic and static component (football, basketball, volleyball, boxing, swimming, athletics), according to the classification by Mitchell JH and co-authors, who are at the stage of improving their sportsmanship.The dysfunctional orientation of regulatory mechanisms in qualified athletes in groups with rhythm disturbances and impaired repolarization processes against the background of a decrease in physical performance and stress of adaptation mechanisms was reliably classified by phasographic speed indicators of the heart electrical activity, which was determined using AMCLA.Innovation indicators averaged phase of the cardiac cycle suggests a lack of verified earlier values that characterize the different states. In this case, AMCLA made it possible to identify the most significant indicators of the phase averaged cardiac cycle to characterize various states and differentiate the ranges of their values.Multivariate analysis of the functional state indicators of the athlete’s body with the use of AMCLA can be a methodology for solving the problems of reserve measurement in the highest achievements sports.

The paper considers the results of the analysis and prediction of the dynamics of solar activity from the series of the solar radio flux density at a frequency of 2.8 GHz and the relative Wolf numbers, proposed by the leading analytical groups, as well as by the authors of this publication. The typological characteristics of the upcoming situations of socio-economic development of Russia are indicated.

The paper presents the results of the analysis of scientific publications in order to identify heliogeophysical interactions and their impact on the state of biospheric processes. It is demonstrated that small disturbances in the biological environment lead to global process-es with little predictable consequences that radically change politics, economics and public health. These processes pose a serious threat to national and economic security. The studies have shown that the Earth's ionosphere is a complex dynamic system, the state of which is de-termined not only by the parameters of the atmosphere itself, but also by variations in helium and geomagnetic factors. Investigation of interrelated processes in the lower and upper lay-ers of the atmosphere is one of the priority geophysical and meteorological tasks. Key words: solar activity, heliogeophysical interactions; the Earth's magnetic field; interplanetary field; annual variations; cosmic rays.

Fifteen matrices of paired comparisons of tremorogram samples were constructed using a tremorograph. The number k of pairs with Wilcoxon’s test p ≥ 0.05 was very small, which was indicative of a lack of statistical robustness of the samples.

The paper discusses the empirical foundations and the results of two-dimensional approximation of the diagnostic components of the atmospheric indices - its dispersion poten-tials (DP) and pollution by mathematical models. A hypothesis is formulated about the pres-ence of features of the possible self-organization of the studied fields by the energy-informational influences of the Sun. Key words: analysis of empirical data, spatial and temporal patterns of field chang-es, dispersion and atmospheric pollution potentials, diagnostic component of the field, two-dimensional waves, self-organization.

Рассматриваются фундаментальные законы поведения живых систем с позиций классической термодинамики Р. Клаузиуса и Л. Больцмана и термодинамики неравновесных систем I.R. Prigogine. Показывается с позиций новой теории хаоса-самоорганизации, что законы термодинамики невозможно применять к живым гомеостатическим системам на уровне организации этих систем (т. е. на системном уровне), хотя на молекулярном уровне все работает. Одновременно мы не можем использовать и законы термодинамики неравновесных систем. Для гомеостатических (живых) систем неприменима теорема Гленсдорфа–Пригожина о минимуме прироста энтропии P=dE/dt в области (окрестности), где энтропия E имеет максимум (в точках равновесия). Более того, само понятие равновесия в границах термодинамики неприменимо к медико-биологическим системам – системам третьего типа. The fundamental living system behavior patterns are considered in terms of classical Clausius and Boltzmann thermodynamics, and I. R. Prigogine nonequilibrium system thermodynamics. The new theory of chaos and selforganization shows that the laws of thermodynamics are inapplicable to live homeostatic systems at their level of organization (i.e., the system level), although they are perfectly applicable at the molecular level. We cannot use the laws of nonequilibrium system thermodynamics, either. The Glensdorff–Prigogine theorem stating the minimum entropy increase P=dE/dt in the area (vicinity) where the entropy E has a maximum (at the equilibrium points) is inapplicable to homeostatic (living) systems. Moreover, the very concept of nonequilibrium as used in thermodynamics is inapplicable to the systems of the 3rd kind (medical and biological systems).

A new phenomenon (or paradox) consisting in higher statistical stability of samples, for example, tremorograms, in a group of different subjects than in the same subject in unchanged homeostasis. At the same time, it turns out that 15 different subjects are more similar (statistically) to each other than one person to himself in 15 repetitions of tremorogram recording (in unchanged homeostasis). This poses serious problems for physiology and medicine, and in the context of transition to individualized medicine, this raises the question of how different people can be compared if they are statistically more similar than one person to himself.

It has been theoretically and experimentally established that highly efficient technical means for separating fine and fine dust are most feasible and effective only when developing technology that combines centrifugal and inertial forces in one apparatus and allowing a sharp increase in the speed of movement of gas and dust flows in the working parts of the dust collector separator. A mathematical model of gas-dynamic processes in the elements of the dust collector, co-containing in its work the principles of centrifugal and inertial separation, has been developed.

The study examined stochastic stability of EEG samples recorded in succession from the same healthy volunteer at unchanged state. The absence of statistical repetitions not only for EEG samples, but also for the corresponding spectral densities was proven. A method to calculate the pairwise comparison matrices of ECG samples and quasi-attractors was proposed. The diagnostic effectiveness of these calculations was demonstrated during photostimulation, when successive EEG samples chaotically changed under overall homeostatic conditions.