Segal-Sugawara vectors for the Lie algebra of type G2G_2

Explicit formulas for Segal-Sugawara vectors associated with the simple Lie algebra $\mathfrak{g}$ of type $G_2$ are found by using computer-assisted calculations. This leads to a direct proof of the Feigin-Frenkel theorem describing the center of the corresponding affine vertex algebra at the critical level. As an application, we give an explicit solution of Vinberg's quantization problem by providing formulas for generators of maximal commutative subalgebras of $U(\mathfrak{g})$. We also calculate the eigenvalues of the Hamiltonians on the Bethe vectors in the Gaudin model associated with $\mathfrak{g}$.Comment: 26 page

Quantum family algebras

Abstract. Recently, A. A. Kirillov introduced an important notion of classical and quantum family algebras. Here the criterion of commutativity is given. The quantum eigenvalues of sl 2 ðCÞ are computed. Mathematics Subject Classifications (2000) . Primary 15A30, 22E60

Characteristics phetoplacental complex change in women with pulmonary tuberculosis, complicated by iron deficiency anemia

87 pregnant women have been examined, 57 of them had pulmonary form of TB, complicated by IDA (main group). The control group consisted of 30 conditionally somatic-healthy patients with physiological pregnancy. Changes in the parameters of erythron, increased metabolic acidosis, development of placental dysfunction (93%), violation of hemodynamics in the utero-placental-fetal basin, and low biophysical profile of the fetus were found. The main group patients received comprehensive anti-anemic, antihypoxic, detoxificative, antioxidant and membrane-stabilizing therapy. After the pathogenetic treatment, the general condition of  mother and fetus improved, e. g. the total index of biophysical profile of fetus in the pregnant women of the main group increased from (6.87 ± 0.18) points to (8.73 ± 0.12) points Women with pulmonary tuberculosis and iron-deficiency anemia require complex pathogenetic therapy, which significantly improves the erythron signs, fetal, newborn and general  mother’s condition

The influence of different methods of hysteroscopic metroplasty using a bipolar resectoscope on the restoration of reproductive function in women with a septate uterus

Uterine septum is the most common congenital anomaly of the uterus, accounting for 35% of all diagnosed malformations. Data on the effectiveness of restoring reproductive function in women with a septate uterus after hysteroscopic metroplasty are contradictory, there are no data on the comparison of reproductive results after removal and dissection of the septum using a bipolar hysteroresectoscope. The purpose of the study was to assess the effectiveness of reproductive function recovery after dissection and removal of the uterine septum using a bipolar hysteroresectoscope. Material and methods. 78 patients of group B with uterine septum, reproductive failure, bipolar hysteroscopic metroplasty were under observation. Among the examined patients, 39 suffered from miscarriage and 39 suffered from infertility. 37 women of the BI group underwent hysteroscopic bipolar dissection of the uterine septum; 41 women of the BII group underwent hysteroscopic bipolar resection of the septum. Results and their discussion. Within 2 years after metroplasty, pregnancy occurred in 86.49% of women in the BI group and in 100% of women in the BII group (p>0.05); the specific weight of miscarriages was 9.38% and 0.00%, respectively (p>0.05); childbirth - 58.88% and 70.97% (p>0.05); premature births – 17.65% and 6.45% (p>0.05); term deliveries - 38.24% and 64.52% (p<0.04, SD 0.34 [0.12-0.93]). In women with initial infertility, pregnancy occurred in 61.54% of women in the BI group (n=13) within 2 years after the operation, in 69.23% in the BII group (n=13) (p>0.05); the specific weight of miscarriages was 25.00% and 22.22%, respectively (p>0.05); childbirth - 75.00% and 77.78% (p>0.05); premature births – 12.50% and 11.00% (p>0.05); term deliveries - 62.50% and 66.67% (p>0.05). Analysis of recovery of reproductive function 2 years after surgery in women with initial miscarriage showed that 90.48% of women in the BI group became pregnant, 94.44% in the BII group (p>0.05); the specific weight of miscarriages was 31.58% and 11.76%, respectively (p>0.05); childbirth - 68.42% and 88.24% (p>0.05); premature births – 26.32% and 5.88% (p>0.05); term deliveries - 42.11% and 82.35% (p<0.02, SD 0.16 [0.03-0.73]). Conclusions. The use of the technique of removal of the uterine septum during bipolar hysteroresectoscopy compared to the technique of its dissection in women with a septate uterus and reproductive failure leads to a probable increase in the termination of pregnancy by term delivery both in the general group and in the group of patients with initial miscarriage

Epigenetic mechanisms of TNFα activation in patients with cancer endometry

An important aspect of the management of patients with endometrial cancer (ER) is the timely identification of risk groups, early signs of the onset and recurrence of the disease. There is an active search for new markers for early diagnosis, detection of relapses and postoperative monitoring of RE. Tumor necrosis factor alpha (TNFα) is a cytokine involved in the pathogenesis of various forms of cancer, as well as associated with chronic inflammation, obesity. The goal is to study the methylation of the TNFa gene in the OM and the possibility of using it as a marker for forecasting, monitoring, and the risk of developing the OM. Materials and methods. DNA methylation was determined by the method of pyrosequencing in endometrial specimens taken from 10 patients with verified endometrial hyperplasia and 13 patients with RE when performing hysteroscopy with endometrial biopsy or endometrial curettage. Results and discussion. The total degree of methylation of the TNFα gene DNA promoter in the samples under study in patients with simple and / or complex nonatypical endometrial hyperplasia was 62.6 ± 12.8% and was higher than in RE patients (34.7 ± 8.8%). Findings. The results of the study showed the involvement of the epigenetic mechanism, which is associated with hypomethylation of the TNFα gene promoter, which can lead to the activation of the TNFα gene in RE. Determining the amount of methylation DNA promoter of the TNFα gene can be used as a potential prognostic and diagnostic marker for ER

Immune response regulatory disorders and redox homeostasis in pregnant women with isoimmune conflict

The immunological and biochemical changes caused by pregnancy may uncover new aspects of immune tolerance, applicable in physiological and pathological contexts, and show up new therapeutic strategies for improving pregnancy outcomes. Isoimmune conflict in pregnancy is primarily related to the risk of pre-natal fetal death caused by massive hemolysis when incompatible with Rh and / or AB0 antigens. The objective: The objective: to evaluate the role of redox homeostasis in the formation of the immune response in isoimmune conflict during pregnancy. Results. The results obtained indicate the activation of T- and Blymphocytes, which may be explained by the activation of cytokines IL-1, IL-6, IL-10. In pregnancy isoimmune conflict moderate metabolic acidosis is observed with a predominance of the lactic acid component and the depletion of buffer reserves. Conclusions. Isoimmune conflict leads to moderate formation of oxidative stress, that can be described as violation of redox-homeostasis, which in turn can be a consequence of cytotoxic reactions

Epigenetic mechanisms of TNFα activation in patients with endometrial cancer

Timely identification of risk groups, early signs of the disease onset and recurrence is an important aspect in management of endometrial cancer (EC) patients. There is an active search for early diagnosis new markers, detection of relapses and EC postoperative monitoring. Tumor necrosis factor alpha (TNFα) is a cytokine involved in the pathogenesis of various forms of cancer, as well as associated with chronic inflammation, obesity. The objective is to study TNFa gene methylation in EC and the possibility of its use as a marker for forecasting, monitoring, and EC risk development. Materials and methods. DNA methylation was determined by pyrosequencing in endometrial specimens taken from 10 patients with verified endometrial hyperplasia and 13 patients with EC when performing hysteroscopy with endometrial biopsy or endometrial curettage. Results and discussion. The total degree of methylation of the TNFα gene DNA promoter in the samples under study in the patients with simple and / or complex nonatypical endometrial hyperplasia was 62.6 ± 12.8%, which is higher than in EC patients (34.7 ± 8.8%). Conclusions. The results obtained showed the involvement of epigenetic mechanism associated with hypomethylation of the TNFα gene promoter, which can lead to the activation of the TNFα gene in EC. Determination of methylation DNA promoter of the TNFα gene and its amount can be used as a potential prognostic and diagnostic marker of EC

Quantum line bundles on noncommutative sphere

Noncommutative (NC) sphere is introduced as a quotient of the enveloping algebra of the Lie algebra su(2). Using the Cayley-Hamilton identities we introduce projective modules which are analogues of line bundles on the usual sphere (we call them quantum line bundles) and define a multiplicative structure in their family. Also, we compute a pairing between certain quantum line bundles and finite dimensional representations of the NC sphere in the spirit of the NC index theorem. A new approach to constructing the differential calculus on a NC sphere is suggested. The approach makes use of the projective modules in question and gives rise to a NC de Rham complex being a deformation of the classical one.Comment: LaTeX file, 15 pp, no figures. Some clarifying remarks are added at the beginning of section 2 and into section

ІННОВАЦІЙНІ ТЕХНОЛОГІЇ АКТИВНОГО НАВЧАННЯ АКУШЕРІВ-ГІНЕКОЛОГІВ

The aim of the study – comparative evaluation of innovative technologies in the educational process of students and postgraduate students.Materials and Methods. The research is based on studying the experience of the Department of Obstetrics and Gynecology № 1 of Odesa National Medical University to provide theoretical and practical training for students and postgraduate students.Results and Discussion. Innovative methods of teaching of postgraduate students intensify educational and cognitive activity and expand their creativity, which contributes to more effective human resources policy in health care. The traditional way to transfer knowledge includes lectures, seminars and workshops. However, innovative approaches to their implementation to solve problems not only mastering the knowledge and professional skills formation, but also the development of creative and communicative abilities. Therefore, the department is actively used unconventional methods of presentation lectures and actively used its own simulation teaching methodology, based on role-playing techniques and standardized patient. Also, the Department of Obstetrics and Gynecology № 1 collaborates with Educational-innovative Centre for the Physicians Practical Training, where  students and postgraduate students are trained clinical skill, based on the use of simulation technology.Conclusions. Innovative methods of teaching postgraduate students stimulate educational activities and increase their creative abilities, thereby ensuring effective public policies in the health system. Experience with simulation center and the obtained results indicate its high potential in the development of the clinical competence of students and postgraduate students and patient safety.Мета дослідження – порівняльна оцінка іноваційних технологій навчального процесу у студентів та лікарів-інтернів.Матеріали та методи дослідження. Дослідження базується на вивченні досвіду кафедри акушерства і гінекології № 1 Одеського національного медичного університету щодо забезпечення теоретичної та практичної підготовки студентів і лікарів-інтернів.Результати й обговорення. Інноваційні методики навчання лікарів інтернів активізують навчально-пізнавальну діяльність і розширюють їх творчі здібності, що сприяє забезпеченню ефективної додаткової кадрової політики в системі охорони здоров’я. До традиційного способу передачі знань відносять лекції, семінари, практичні заняття. Проте інноваційні підходи до їх проведення дозволяють вирішувати завдання не лише засвоєння студентами знань і формування професійних умінь, а й розвитку творчих та комунікативних здібностей. Тому на кафедрі активно застосовуються методики нетрадиційного викладу лекційного матеріалу та активно використовується власна імітаційна методика навчання, створена на основі методик рольової гри і стандартизованого пацієнта. Також кафедра акушерства і гінекології № 1 співпрацює з кафедрою симуляційної медицини, на якій студенти старших курсів і лікарі-інтерни проходять навчання клінічних умінь, основане на застосуванні симуляційних технологій.Висновки. Інноваційні методики навчання лікарів інтернів активізують навчально-пізнавальну діяльність і розширюють їх творчі здібності, що сприяє забезпеченню ефективної державної політики в системі охорони здоров’я. Досвід співпраці з симуляційним центром і отримані результати діяльності свідчать про його високий потенціал як у розвитку клінічної компетентності студентів та лікарів-інтернів, так і в забезпеченні безпеки пацієнтів

Characteristic maps for the Brauer algebra

The classical characteristic map associates symmetric functions to characters of the symmetric groups. There are two natural analogues of this map involving the Brauer algebra. The first of them relies on the action of the orthogonal or symplectic group on a space of tensors, while the second is provided by the action of this group on the symmetric algebra of the corresponding Lie algebra. We consider the second characteristic map both in the orthogonal and symplectic case, and calculate the images of central idempotents of the Brauer algebra in terms of the Schur polynomials. The calculation is based on the Okounkov--Olshanski binomial formula for the classical Lie groups. We also reproduce the hook dimension formulas for representations of the classical groups by deriving them from the properties of the primitive idempotents of the symmetric group and the Brauer algebra.Comment: 23 pages, minor changes made, a reference adde