Quasilinear differential equations for the description of the space of ideal gas conditions

Today the classical thermodynamics as fundamentals of many physical sciences does not possess the finished and accurate axiomatic creation of the theory. Its many provisions and ratios are based on the empirical facts which are recognized as apriori and are not proved in terms of theoretical parcel

The changes of matrix metalloproteinase 2, 9 activity and metallothionein level in rat’s brain under cadmium influence

The main functions assigned to metallothioneins (MT) are the metal detoxification (heavy metals in particular) like Mercury and Cadmium, metal homeostasis including Cupper and Zinc, anti-oxidation against reactive oxygen species, protection against DNA damage, oxidative stress, cell survival, angiogenesis, apoptosis, as well as increase proliferation, in the body. Matrix metalloproteinases (MMPs) are members of the proteases which share the conserved zinc-binding motif in their catalytic active site. The main goal of work was the investigation of the MMP2 and MMP9 activity and metallothionein level in the brain under cadmium influence at different doses

Effects of Cadmium on the Activity of Matrix Metalloproteinases and Metallothionein Level in the Rat Brain

We studied the effects of long-lasting treating with cadmium in two different doses (0.1 and 1.0 μg/kg) on the activity of matrix metalloproteinases (MMP2 and MMP9) and metallothionein level in the rat brain. Cadmium in a higher dose (1 μg/kg) caused a decrease in MMP2 activity but increased that of proMMP9 in the brain. The level of MT in the hippocampus and cerebellum dropped with both Cd doses. Thus, even small Cd doses exert specific effects on the MMP activity and MT level in the brain

An improvement of the Berry--Esseen inequality with applications to Poisson and mixed Poisson random sums

By a modification of the method that was applied in (Korolev and Shevtsova, 2009), here the inequalities $$\rho(F_n,\Phi)\le\frac{0.335789(\beta^3+0.425)}{\sqrt{n}}$$ and $$\rho(F_n,\Phi)\le \frac{0.3051(\beta^3+1)}{\sqrt{n}}$$ are proved for the uniform distance $\rho(F_n,\Phi)$ between the standard normal distribution function $\Phi$ and the distribution function $F_n$ of the normalized sum of an arbitrary number $n\ge1$ of independent identically distributed random variables with zero mean, unit variance and finite third absolute moment $\beta^3$. The first of these inequalities sharpens the best known version of the classical Berry--Esseen inequality since $0.335789(\beta^3+0.425)\le0.335789(1+0.425)\beta^3<0.4785\beta^3$ by virtue of the condition $\beta^3\ge1$, and 0.4785 is the best known upper estimate of the absolute constant in the classical Berry--Esseen inequality. The second inequality is applied to lowering the upper estimate of the absolute constant in the analog of the Berry--Esseen inequality for Poisson random sums to 0.3051 which is strictly less than the least possible value of the absolute constant in the classical Berry--Esseen inequality. As a corollary, the estimates of the rate of convergence in limit theorems for compound mixed Poisson distributions are refined.Comment: 33 page

Cardio-and Neuroprotective Effects of Corvitin and 2-Oxoglutarate in Rats with Pituitrin-Isoproterenol-Induced Myocardial Damage

Heart diseases, especially acute coronary syndrome (ACS), are among the most severe illnesses that often lead to death. Despitesignificant advances in the prevention and treatment of ACS, the incidence of the disease and its complications are very serious. +eimbalance between pro- and antioxidant systems, the formation of active carbonyl compounds, and the end products of glycation inthe blood and tissues are the key moments in the development of heart and neurological disorders leading to a change of behavioralresponses. So, the search for antioxidants with cardio- and neuroprotective effects is an urgent task. +is study was aimed atevaluating the effects of Corvitin and 2-oxoglutarate on physiological parameters, heart histology, and markers of carbonyl/oxidativestress of rats with pituitrin-isoproterenol-induced myocardial damage (PIMD). Increased sweating, tachycardia, significantly decreasedlocomotor and exploratory activity, changes of ECG, heart histology, and biochemical changes were observed in the PIMDgroup.+e administration of Corvitin or 2-OG led to the recovery of locomotor and cognitive activities of the rats, improvement inheart histology, a decrease in the levels of thiobarbituric acid reactive substances, advanced glycated end products, and variouschanges in the activity of the antioxidant enzymes, 6 days after PIMD. So, Corvitin and exogenous 2-OG show cardio- andneuroprotective effects through the decrease of carbonyl/oxidative stress and regulation of the activity of the antioxidant system

Assessment of the influence of vehicle parameters on the value of the saturation flow

As a result of the changes that the car market has undergone over the past decades, a large number of various cars have appeared on the road, which are excellent primarily in design characteristics (length, width, height, weight, etc.), as well as dynamic (power, braking time, turning radius, etc.). When they are taken into account as the characteristics of a conventional car, incorporated into the initial model for calculating the parameters of a controlled intersection, it is possible to obtain variable data that will affect the final result — the value of the saturation flow. In order to determine the variability of the saturation flow values, taking into account certain parameters of a conventional car, the study presented in this article was carried out. The main objectives of the study were to analyze the composition of the traffic flow; determining the design and dynamic characteristics of the most common vehicles in the stream; establishing the parameters of a conditional car, determined by the calibrated one and calculating the saturation flux with subsequent comparison of the data obtained. When carrying out the research, the methods of field observations, analysis and mathematical calculation were used. The calculations were performed using a mathematical model used to determine the value of saturation flux when performing a turn, depending on the turning radius. In the study, this model was determined as the main one due to the fact that on many sections of the road network the turning radii change significantly, in contrast to the basic model, which depends on the lane width, which in most cases is standardized or does not change as much as turning radii. Based on the results of calculations, the variability of the ST values was obtained at 7% for the minimum value of the turning radius and 20% for the maximum value, which requires further research to assess the influence of the obtained results on the calculated parameters of the traffic light operation — the duration of the main ticks and the duration of the entire cycle, as well as on the parameters the transport stream itself when establishing new, refined work cycles

ANALYTIC FUNCTIONS OF INFINITE ORDER IN HALF-PLANE

J. B. Meles (1979) considered entire functions with zeros restricted to a finite number of rays. In particular, it was proved that if is an entire function of infinite order with zeros restricted to a finite number of rays, then its lower order equals infinity. In this paper, we prove a similar result for a class of functions analytic in the upper half-plane. The analytic function in C+ = { : Im > 0} is called proper analytic if lim sup(z→t)⁡( ln⁡|f(z)|)≤0 for all real numbers ∈ R. The class of the proper analytic functions is denoted by . The full measure of a function ∈ is a positive measure, which justifies the term "proper analytic function". In this paper, we prove that if a function is the proper analytic function in the half-plane C+ of infinite order with zeros restricted to a finite number of rays L through the origin, then its lower order equals infinity