On a q-difference Painlev\'e III equation: II. Rational solutions

Rational solutions for a $q$-difference analogue of the Painlev\'e III equation are considered. A Determinant formula of Jacobi-Trudi type for the solutions is constructed.Comment: Archive version is already official. Published by JNMP at http://www.sm.luth.se/math/JNMP

Adsorption and two-body recombination of atomic hydrogen on 3^3He-4^4He mixture films

We present the first systematic measurement of the binding energy $E_a$ of hydrogen atoms to the surface of saturated $^3$He-$^4$He mixture films. $E_a$ is found to decrease almost linearly from 1.14(1) K down to 0.39(1) K, when the population of the ground surface state of $^3$He grows from zero to $6\times10^{14}$ cm$^{-2}$, yielding the value $1.2(1)\times 10^{-15}$ K cm$^2$ for the mean-field parameter of H-$^3$He interaction in 2D. The experiments were carried out with overall $^3$He concentrations ranging from 0.1 ppm to 5 % as well as with commercial and isotopically purified $^4$He at temperatures 70...400 mK. Measuring by ESR the rate constants $K_{aa}$ and $K_{ab}$ for second-order recombination of hydrogen atoms in hyperfine states $a$ and $b$ we find the ratio $K_{ab}/K_{aa}$ to be independent of the $^3$He content and to grow with temperature.Comment: 4 pages, 4 figures, all zipped in a sigle file. Submitted to Phys. Rev. Let

Determinant Structure of the Rational Solutions for the Painlev\'e IV Equation

Rational solutions for the Painlev\'e IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur functions, and those in another two hierarchies by Casorati determinant of the Hermite polynomials, or by special case of the Schur polynomials.Comment: 19 pages, Latex, using theorem.st

Qualitative composition of oral fluid in pregnant women before and after caries prophylactic precautions

The article deals significant oral fluid indicators in pregnant women have been studied before and after the caries prevention course with using the ternary calcium phosphate-fluoride-containing gel. The topical application of the gel has been established to result in improving the majority of studied oral fluid parameters values. In addition the probability risk of the oral fluid indicators impact on the dental caries growth rate was assessed in the paper. Herewith the influence of the same oral fluid parameters on the dental caries growth intensity has been proved to be probably different before and after carrying out the local prophylactic caries impacts.В статье рассмотрены некоторые показатели ротовой жидкости беременных в динамике проведения курса профилактики кариеса с помощью аппликаций трёхкомпонентного кальций-, фосфат-, фторсодержащего геля. Установлено, что местное применение геля приводит к изменению значений большинства изучаемых параметров ротовой жидкости. Дана оценка вероятностного риска влияния показателей ротовой жидкости на интенсивность прироста кариеса. Доказано, что до и после проведения местных кариеспрофилактических воздействий влияние одних и тех же параметров ротовой жидкости на интенсивность прироста кариеса может быть неодинаковым

The Hamiltonian Structure of the Second Painleve Hierarchy

In this paper we study the Hamiltonian structure of the second Painleve hierarchy, an infinite sequence of nonlinear ordinary differential equations containing PII as its simplest equation. The n-th element of the hierarchy is a non linear ODE of order 2n in the independent variable $z$ depending on n parameters denoted by ${t}_1,...,{t}_{n-1}$ and $\alpha_n$. We introduce new canonical coordinates and obtain Hamiltonians for the $z$ and $t_1,...,t_{n-1}$ evolutions. We give explicit formulae for these Hamiltonians showing that they are polynomials in our canonical coordinates

METROLOGICAL SUPPORT OF DOSIMETRY GAMMA-RAY WITH ENERGY TO 10 MEV FOR RADIATION PROTECTION DEVICES

The field of high-energy gamma-ray for the calibration of radiation protection devices can be obtained by capturing thermal neutrons from titanium target (to 7 MeV) and nickel target (to 10 MeV). The aim of this work was to determine the metrological characteristics of capture gamma-ray fields from titanium target and nickel target obtained at the AT140 Neutron Calibration Facility to provide dosimetry up to 10 MeV.We have chosen energy intervals in which we can calibrate dosimetry devices taking into account the accompanying generation of gamma-ray neutrons by the fast neutron source 238PuBe, the capture radiation of collimator materials and capture radiation from targets.We measured air kerma rate with the aid of the reference AT5350 dosimeter with the ionization chamber TM32002. Using the Monte-Carlo simulation, we obtained the energy distribution of the air kerma rate for targets. We determined the geometric dimensions of the uniform field and the interval of operating distances of the facility.We investigated the metrological characteristics of capture gamma-ray fields from titanium target and nickel target obtained at the AT140 Neutron Calibration Facility for dosimetric radiation protection devices. We showed that in such fields it is possible to calibrate dosimetry devices in the extended energy range up to 10 MeV

Rational Solutions of the Painleve' VI Equation

In this paper, we classify all values of the parameters $\alpha$, $\beta$, $\gamma$ and $\delta$ of the Painlev\'e VI equation such that there are rational solutions. We give a formula for them up to the birational canonical transformations and the symmetries of the Painlev\'e VI equation.Comment: 13 pages, 1 Postscript figure Typos fixe

Painleve IV and degenerate Gaussian Unitary Ensembles

We consider those Gaussian Unitary Ensembles where the eigenvalues have prescribed multiplicities, and obtain joint probability density for the eigenvalues. In the simplest case where there is only one multiple eigenvalue t, this leads to orthogonal polynomials with the Hermite weight perturbed by a factor that has a multiple zero at t. We show through a pair of ladder operators, that the diagonal recurrence coefficients satisfy a particular Painleve IV equation for any real multiplicity. If the multiplicity is even they are expressed in terms of the generalized Hermite polynomials, with t as the independent variable.Comment: 17 page

Internal scheme of the body assessment in an experiment with environmental uncertainty

The aim of the work was to analyze the influence of various environmental factors forming environmental uncertainty on the nature of the transformation of the "internal scheme of the body". Materials and methods. For the study, a group of healthy volunteers (n = 90) was selected. The results in this paper are median, 75 and 25 percentiles (Me [UQ / LQ]). The study was conducted in several stages. At the first stage, the criteria for excluding potential participants from the experiment were formed. At the second stage of the study, a video analysis of the main anatomical orientations of the pelvic region in static and dynamic samples was conducted for all participants. Conclusion. In the course of the study, specific patterns of spatial deviations of biomechanical blocks of the pelvic region were established, triggered by changes in the qualitative and quantitative parameters of the external environment. So, in conditions of static equilibrium, coordination is activated with involvement of the anterior and posterior half-rings of the pelvis (frontal biomechanical blocks); in conditions of dynamic equilibrium, diagonal biomechanical blocks of the pelvic region are activated; in conditions of deprivation of visual afferentation, the compensatory reactions of the lateral semirings of the pelvic region (lateral biomechanical blocks) are formed

ВЛИЯНИЕ РЕКОМБИНАНТНОГО ЛАКТОФЕРРИНА ЧЕЛОВЕКА НА УРОВЕНЬ ПОЛОВЫХ ГОРМОНОВ У САМЦОВ КРЫС РАЗНОГО ВОЗРАСТА

A systemic administration of human recombinant lactoferrin to male rats caused an increase in a total testosterone level by 200 % in blood serum, the estradiol concentration decreased significantly by 16.7 %. Upon completion of administration, testosterone was still increased (p < 0.05) for 7 weeks, gradually returning to the control group values without inhibition of endogenous testosterone synthesis. In contrast, the level of estradiol returned to control values. Our study of the rat model of age-related hypogonadism revealed that a systemic per os administration of human recombinant lactoferrin to experimental animals had a significant stimulatory effect on testosterone biosynthesis in 2-yearolds, restoring it to the level of physiological values in young rats. Системное введение рекомбинантного лактоферрина человека молодым (2 мес.) крысам-самцам вызывало увеличение уровня общего тестостерона в сыворотке крови на 200%. После завершения курсового введения содержание тестостерона оставалось повышенным (р < 0,05) в течение семи недель, постепенно возвращаясь до значений контрольной группы без угнетения биосинтеза эндогенного тестостерона. В модели возрастного гипогонадизма системное влияние per os рекомбинантного лактоферрина человека экспериментальным животным оказывало значительное стимулирующее действие на биосинтез тестостерона у 2-летних особей, нормализируя его уровень до физиологических значений молодых крыс.