On Bohr-Sommerfeld bases

This paper combines algebraic and Lagrangian geometry to construct a special basis in every space of conformal blocks, the Bohr-Sommerfeld (BS) basis. We use the method of [D. Borthwick, T. Paul and A. Uribe, Legendrian distributions with applications to the non-vanishing of Poincar\'e series of large weight, Invent. math, 122 (1995), 359-402, preprint hep-th/9406036], whereby every vector of a BS basis is defined by some half-weighted Legendrian distribution coming from a Bohr-Sommerfeld fibre of a real polarization of the underlying symplectic manifold. The advantage of BS bases (compared to bases of theta functions in [A. Tyurin, Quantization and ``theta functions'', Jussieu preprint 216 (Apr 1999), e-print math.AG/9904046, 32pp.]) is that we can use information from the skillful analysis of the asymptotics of quantum states. This gives that Bohr-Sommerfeld bases are unitary quasi-classically. Thus we can apply these bases to compare the Hitchin connection with the KZ connection defined by the monodromy of the Knizhnik-Zamolodchikov equation in combinatorial theory (see, for example, [T. Kohno, Topological invariants for 3-manifolds using representations of mapping class group I, Topology 31 (1992), 203-230; II, Contemp. math 175} (1994), 193-217]).Comment: 43 pages, uses: latex2e with amsmath,amsfonts,theore

Radiation-induced hydrogen transfer in metals

The paper presents processes of hydrogen (deuterium) diffusion and release from hydrogen-saturated condensed matters in atomic, molecular and ionized states under the influence of the electron beam and X-ray radiation in the pre-threshold region. The dependence is described between the hydrogen isotope release intensity and the current density and the electron beam energy affecting sample, hydrogen concentration in the material volume and time of radiation exposure to the sample. The energy distribution of the emitted positive ions of hydrogen isotopes is investigated herein. Mechanisms of radiation-induced hydrogen transfer in condensed matters are suggested

Preasymptotic nature of hadron scattering vs small-x HERA Data

We emphasize that recently observed regularities in hadron interactions and deep-inelastic scattering are of preasymptotic nature and it is impossible to make conclusions on the true asymptotic behavior of observables without unitarization procedure. Unitarization is important and changes scattering picture drastically.Comment: LaTeX file, 9 pages; 4 tarred, gzipped and uuencoded figures in a separate fil

Study of internal structures of 9,10Be and 10B in scattering of 4He from 9Be

A study of inelastic scattering and single-particle transfer reactions was performed by an alpha beam at 63 MeV on a 9$Be target. Angular distributions of the differential cross sections for the 9Be(4He,4He')9Be*, 9Be(4He,3He)10Be and 9Be(4He,t)10B reactions were measured. Experimental angular distributions of the differential cross sections for the ground state and a few low-lying states were analyzed in the framework of the optical model, coupled channels and distorted-wave Born approximation. An analysis of the obtained spectroscopic factors was performed.Comment: 16 pages, 7 figures, 3 tables, regular paper, mispritns are corrected in new versio

Cardiac Function Index as a Possible Target Parameter Hemodynamic Correction in Abdominal Sepsis (Pilot Study)

Aim of the study: to determine the predictive value of central hemodynamic parameters in relation to mortality and evaluate their potential acceptability for goal-directed therapy during days 1-4 of treatment in patients with sepsis.Material and methods. The results of investigation and treatment of 62 patients aged 50.9±2.13 years with abdominal sepsis were analyzed. The patient severity on admission to the intensive care unit was 13 [10-15] on the APACHE II scale, 8 [6.75-9.25] on the SOFA scale. Lethal outcome 15.6±1.4 days after admission occurred in 19 (31%) patients. Central hemodynamic parameters were studied by transpulmonary thermodilution according to the standard technique. Infusions and administration of sympathomimetic drugs were performed according to Sepsis-3 guidelines. Statistical analysis was performed using logistic regression and ROC analysis.Results. The median values of the main circulatory parameters during days 1-4 of sepsis treatment were within normal ranges. Cardiac index, afterload-related cardiac performance, global cardiac ejection fraction and cardiac function index were predictors of mortality at all stages of treatment. However, the first three parameters did not provide either sufficient model quality at the study stages or a stable cutoff value with acceptable sensitivity and specificity. The cardiac function index maintained good model quality (area under the ROC curve 0.708-0.753) and a stable cutoff value (≤5.75 to ≤5.81 min-1) with acceptable and balanced sensitivity and specificity of about 70% at all study stages.Conclusion. The cardiac index, afterload cardiac performance, global cardiac ejection fraction and cardiac function index during days 1-4 of intensive care of sepsis are predictors of lethal outcome. At the same time, only the cardiac function index maintains good model quality and consistent cut-off point value with acceptable sensitivity and specificity at all stages of the study. The feasibility of using the cardiac function index as one of the parameters of goal-directed therapy aimed at cardiovascular function improvement in sepsis needs further investigation

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

ЦЕНТРАЛЬНАЯ ГЕМОДИНАМИКА И ИНДЕКС ВНЕСОСУДИСТОЙ ВОДЫ ЛЕГКИХ ПРИ ВНЕБОЛЬНИЧНОЙ ПНЕВМОНИИ РАЗЛИЧНОЙ ТЯЖЕСТИ ТЕЧЕНИЯ

Objective: to assess the specific features of central hemodynamics (CH), extravascular lung water index (EVLWI), and pulmonary oxygenizing function in patients with different outcomes of treatment for severe communityacquired pneumonia (CAP).Subjects and methods. The retrospective study enrolled 57 patients with CAP. According to its outcome, there were 2 groups: 1) 44 patients (33 men and 11 women), whose disease ended in recovery; 2) 13 patients (8 men and 5 women), whose CAP resulted in a fatal out come. The groups did not differ in age (48.1±2.3 and 55.3±4.1 years) and overall disease severity according to the APACHE II (21.5±0.8 and 25.2±2.1 scores) and SOFA (8.7±0.2 and 9.7±1.0 scores) scales (p&lt;0.05). CAP was more severe in Group 2: 3.5±0.1 and 4.4±0.27 CURB65 scores (p&gt;0.05). All the patients received identical antibiotic therapy. They underwent transpulmonary thermodilution according to the standard procedure. The indicators were daily recorded. The data were statistically processed. A corre lation analysis was made calculating the correlation coefficients (r). The significance of differences was estimated by the Student's ttest or Mann-Whitney test.Results. On day 1 of followup, the patients in both groups were prone to arterial hypotension, had tachycardia, lower or nearnormal central venous pressure (CVP). Group 1 versus Group 2 had higher cardiac index (CI) (2.9±0.2 and 2.1±0.1 l/min/m2 ) and global ejection fraction (GEF) (22.5±1 and 15.8±1.7%) (p&lt;0.05) and lower CVP (4.1±0.2 and 5.6±0.4 mm Hg) (p&lt;0.05). On day 3, Group 2 versus Group 1 had higher CVP (p&lt;0.05) and lower CI, GEF, and some other cardiac pump function indicators. Admission EVLWI was virtually equally elevated in both groups. In Group 1, the indicator decreased later on and approached the normal values at 67 days of treatment. In Group 2, EVLWI remained high and did not virtually decrease. The indicator was ascertained to be inversely correlated with GEF on treatment days 1—2 (r=0.35 to 0.58; p&lt;0.01) and 6—7 (r=0.67 to 0.43; p&lt;0.001).Conclusion. In the first 24 hours of treatment, the patients with the unfavorable course of severe CAP are diag nosed as having signs of acute respiratory distress syndrome (ARDS) and impaired CH, which can be interpreted as progressive right ventricular dysfunction. The pivotal role of ARDS in the pathogenesis of CH disorders is borne out by the inverse correlation between EVLWI and integral cardiac systolic function indicator and GEF.Цель исследования — оценить особенности центральной гемодинамики (ЦГД), индекс внесосудистой воды и оксигенирующую функцию легких у больных с различным исходом лечения тяжелой внебольничной пневмонии (ВП).Материалы и методы. В ретроспективное исследование включили 57 больных ВП. В зависимости от исхода ВП выделили 2 группы: 1-я (n=44) — больные (33 мужчины и 11 женщин), заболевание которых закончилось выздоровлением; 2-я (n=13) — больные (8 мужчин и 5 женщин), ВП у которых привела к летальному исходу. Выделенные группы не различались (p&gt;0,05) по возрасту (48,1±2,3 и 55,3±4,1 лет), тяжести общего состояния по шкалам APACHE II (21,5±0,8 и 25,2±2,1 баллов) и SOFA (8,7±0,2 и 9,7±1,0 баллов). ВП была тяжелее (p&lt;0,05) во 2-й группе: 3,5±0,1 и 4,4±0,27 балла по CURB65. Все больные получали идентичную антибиотикотерапию. У всех больных осуществляли транспульмональную термодилюцию по стандартной методике. Регистрацию показателей осуществляли по суткам. Данные обрабатывали статистически. Выполнили корреляционный анализ с расчетом коэффициентов корреляции (r). Достоверность отличий оценивали по t-критерию Стьюдента или по критерию Манна-Уитни.Результаты. В 1-е сутки наблюдения для больных обеих групп были характерны тенденция к артериальной гипотензии, тахикардия, сниженные или близкие к нормальным значения центрального венозного давления (ЦВД). У больных 1-й группы были выше (p&lt;0,05) сердечный индекс (2,9±0,2 и 2,1±0,1 л/мин/м2 ) и глобальная фракция изгнания сердца (ГФИС) (22,5±1 и 15,8±1,7%), а ЦВД (4,1±0,2 и 5,6±0,4 мм рт. ст.) — ниже (р&lt;0,05). С 3-х суток у больных 2-й группы были более высокими (p&lt;0,05), чем в 1-й, значения ЦВД, а СИ, ГФИС и некоторые другие показатели насосной функции сердца — сниженными. Индекс внесосудистой воды легких (ИВСВЛ) в обеих группах был практически одинаково повышен при по ступлении. В дальнейшем у больных 1й группы показатель снижался и к 67м суткам лечения приближался к нормальным значениям. У больных 2й группы ИВСВЛ оставался высоким и практически не снижался. Установили, что ИВСВЛ обратно коррелировал с ГФИС в 1—2-е (r=0,35 — 0,58 при p&lt;0,01) и 6—7-е сутки лечения (r=0,67 — 0,43 при p&lt;0,0001).Заключение. У больных с неблагоприятным течением тяжелой ВП, начиная с первых суток лечения, диагностируются признаки ОРДС и нарушения ЦГД, которые можно трактовать, как прогрессирующую правожелудочковую дисфункцию. Определяющая роль ОРДС в патогенезе нарушений ЦГД подтверждается стойкой обратной корреляционной связью между ИВСВЛ и интегральным показателем систолической функции сердца ГФИС

The role of VNTR aggrecan gene polymorphism in the development of osteoarthritis in women

Osteoarthritis (OA) is a common multifactorial joint disease. Undifferentiated connective tissue dysplasia (uCTD) is a genetically determined lesion of the connective tissue structures, including joints, and it can be one of the factors predisposing to development of OA. Solving the problem of comorbidity of OA and uCTD signs will contribute to the early diagnosis and prophylactics of OA. Aggrecan is one of the major structural components of cartilage and it provides the ability to resist compressive loads throughout life. We examined 316 women (mean age 50.5 ± 4.77) for signs of uCTD and OA. A study of the aggrecan gene (ACAN) VNTR polymorphism, which is represented by a variable number of 57 nucleotide repeats, was performed. We searched for associations between the VNTR locus and OA in general and with an account of the localization of the pathological process, as well as with the presence of uCTD signs. Twelve allelic variants and 24 genotypes of the VNTR polymorphism of the aggrecan gene (ACAN) were identified, the most frequent variants were alleles with 27, 28 and 26 repeats. A significance of allele *27 (х2 = 6.297, p = 0.012, odds ratio (OR) = 1.50; 95 % confidence interval (CI) 1.09-2.05) in the development of OA in general, knee OA (х2 = 4.613, p = 0.031, OR = 1.52; 95 % CI 1.04-2.23), and multiple OA (х2 = 4.181, p = 0.04, OR = 1.68; 95 % CI 1.02-2.78) was revealed. Homozygous genotype *27*27 was associated with OA (х2 = 3.921, р = 0.047, OR = 1.72; 95 % CI 1-2.96), and OA with uCTD signs in women (х2 = 5.415, p = 0.019, OR = 2.34; 95 % CI 1.13-4.83)

Mechanism of single-spin asymmetries generation in the inclusive hadron processes

We discuss a nonperturbative mechanism for generation of the single-spin asymmetries in hadron interactions. It is based on the chiral quark model combined with unitarity and impact parameter picture and provides explanation for the experimental regularities observed under the measurements of the spin asymmetries.Comment: 20 pages, 7 figure