The high incidence of acne among teenagers, adolescent and young people indicates an important medical and social significance of the problem. In literary sources there is only a few reports about the possible role of stress, neuroendocrine pathology and the development of metabolic syndrome in the pathogenesis of acne, but the given data are often contradictory and insufficiently reasoned, which determines the relevance of further research in order to optimize the treatment and prevention of exacerbations of dermatosis.
Urticarial vasculitis is an eruption of erythematous wheals that clinically resemble urticaria but histologically show changes of leukocytoclastic vasculitis that may be divided into normocomplementemic and hypocomplementemic variants.
The analysis of fusion methods at the pixel level is carried out in the paper. Their mathematical models in the MATLAB package are implemented. The most effective methods of visible and infrared ranges image fusion are determined by evaluating the effectiveness of methods using the authors' proposed improved method of evaluating the informativeness of images and known metrics. These studies were conducted on a set of test images consisting of ten pairs of spatially synchronized images obtained in the visible and thermal ranges of electromagnetic waves.
The methodology of choosing the parameters of strengthening the structural elements of the bearing surfaces of aircraft is presented in the article. Using mathematical methods of deformable solids, a mathematical model of processing elements of aircraft is built, which will be much more resistant to external mechanical impact. To give the surface water-repellent and anti-icing properties, surface treatment with highly concentrated energy flows can be used, followed by its strengthening. Such technologies include laser irradiation, plasma flux, electron beam, light beam, and ion flux. The proposed model is based on the problem of determining the technological parameters of the impact of concentrated energy flow on the surface of the part in order to determine with high accuracy the area of hardening and forecasting of zones of plastic deformation. The precision of determining these parameters is justified by taking into account the problem of dependence of physical and mechanical characteristics of the material on temperature - thermal sensitivity of the material. As these technologies involve significant changes in temperature values, taking into account temperature dependences is an important factor. The proposed methodology of determining the parameters is an actual task and is based on the solution of nonlinear problems, as well as allows you to create more accurate models of physical processes and provides reliability.
The study of the influence of the elemental composition of batteries on environmental parameters has been carried out. The authors propose to predict the states of ecosystem development on the basis of their studies in stationary and dynamic modes, the latter of which is based on the solution of systems of differential equations using the numerical Runge - Kutta method of the fourth order. The methodology of forecasting and modelling situations, mapping sources of risks and monitoring ecological changes allows to develop the corrective measures of ecological catastrophe prevention.