On the constants in a Kato inequality for the Euler and Navier-Stokes equations

We continue an analysis, started in [10], of some issues related to the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus T^d. More specifically, we consider the quadratic term in these equations; this arises from the bilinear map (v, w) -> v . D w, where v, w : T^d -> R^d are two velocity fields. We derive upper and lower bounds for the constants in some inequalities related to the above bilinear map; these bounds hold, in particular, for the sharp constants G_{n d} = G_n in the Kato inequality | < v . D w | w >_n | <= G_n || v ||_n || w ||^2_n, where n in (d/2 + 1, + infinity) and v, w are in the Sobolev spaces H^n, H^(n+1) of zero mean, divergence free vector fields of orders n and n+1, respectively. As examples, the numerical values of our upper and lower bounds are reported for d=3 and some values of n. When combined with the results of [10] on another inequality, the results of the present paper can be employed to set up fully quantitative error estimates for the approximate solutions of the Euler/NS equations, or to derive quantitative bounds on the time of existence of the exact solutions with specified initial data; a sketch of this program is given.Comment: LaTeX, 39 pages. arXiv admin note: text overlap with arXiv:1007.4412 by the same authors, not concerning the main result

Anurans using in biomonitoring of uranium wastes’ influence on zoocoenosis

Дослідження впливу відходів підприємств із переробки уранової руди показали, що єдиний вид земноводних, який мешкає у стічних водах – озерна жаба (Rana ridibunda). Особини старших вікових груп цього виду амфібій частково пристосувалися до впливу полютантів стічних вод за рахунок зміни фізіолого-біохімічних параметрів органів, що беруть активну участь у метаболізмі. Дослідження впливу відходів підприємств із переробки уранової руди показали, що єдиний вид земноводних, який мешкає у стічних водах – озерна жаба (Rana ridibunda). Особини старших вікових груп цього виду амфібій частково пристосувалися до впливу полютантів стічних вод за рахунок зміни фізіолого-біохімічних параметрів органів, що беруть активну участь у метаболізмі. The research of influence of wastes of uranium ore processing enterprises showed that only one amphibian species inhabits the sewage – the lake frog. Individuals of senior age groups of this species partly adapted to pollutants influence due to the change of physiology-biochemical parameters of the organs, which actively participate in metabolism

Common mechanisms of placental dysfunction in preeclampsia, gestational diabetes, and COVID-19 in pregnant women

COVID-19 infection, preeclampsia and gestational diabetes mellitus in pregnancy cause similar changes in the placenta and influence development of the fetus between conception and birth in gestation. Proper uterine and placental vascularization is essential for normal fetal development. The transplacental exchange is regulated and maintained by the placental endothelium. During placental implantation, the trophoblast differentiates into two distinct layers, the inner cytotrophoblast and outer syncytiotrophoblast, which are key elements of the human placental barrier. Proinflammatory cytokines exacerbate ischemic events and create an upward spiral of an inflammatory reaction in the placenta. Placental pathology in gestational COVID-19 shows desquamation and damage of trophoblast and chronic histiocytic intervillositis. Similar lesions also occur in gestational diabetes mellitus and preeclampsia. The systemic inflammatory response of the mother, the increased inflammation in the placenta and cytokine production by placental trophoblasts should be monitored throughout pregnancy. Placental angiogenesis can be evaluated by serum vascular endothelial growth factor, Annexin A2, placental growth factor or sclerostin. Tissue damage can be assessed by measuring levels of serum lactate dehydrogenase and myeloperoxidase. Blood flow can be monitored with three-dimensional Doppler and pathological changes can be documented with paraffin-embedded tissue sections stained with hematoxylin and eosin, and electron microscope images as well as immunohistochemistry tests for vascular endothelial growth factor, placental growth factor, sclerostin and Annexin A2. The damage of maternal and fetal vascular perfusion (villitis and fibrin deposition) is a common mechanism of gestational diseases. The placenta lesions liberate anti-endothelial factors that lead to anti-angiogenic conditions and are the common mechanism of maternal placental vascular malperfusion in gestational diseases. Keywords: dysfunction, inflammation, pathology, placenta, pregnancy, vascularizatio

Efficiency of Combined Use of Fullerene C60 and Bovine Serum Albumin for Rehabilitation of Vitrified Fragments of Rat Immature Seminiferous Tubules

Проблематика. На сьогодні кріоконсервовані репродуктивні тканини використовуються для лікування деяких форм безпліддя у чоловіків. Однак після довготривалого збереження фрагментів звитих канальців cім’яників (ФЗКC) в умовах низькотемпературного банку (-196 °С) відбувається зворотне зниження їх морфологічних та функціональних характеристик. Для вирішення цієї проблеми після заморожування-відігріву перспективним є використання реабілітаційних середовищ із застосуванням спеціальних добавок. Завдяки потужним захисним і антиоксидантним властивостям сироваткового альбуміну та фулерену C60 їх застосування дає змогу стабілізувати плазматичну мембрану, осмотичний тиск, знизити вміст вільних радикалів, що робить їх перспективними кандидатами для використання в розробці середовищ реабілітації біологічних об’єктів після кріоконсервування. Мета. У роботі вивчали ефективність використання фулерену C60, бичачого сироваткового альбуміну (БСА) та їх комбінації як складових середовища реабілітації вітрифікованих ФЗКC статевонезрілих щурів. Методика реалізації. Зразки ФЗКС після вітрифікації-відігріву інкубували (22 °C) протягом 30 хв у середовищі Лейбовіца з додаванням 15 мкг/мл C60, 5 г/л БСА або їх комбінації. Контрольні зразки інкубували в середовищі без додавання C60 або БСА. Метаболічну активність (МТТ-тест), гістоморфологічні дані, загальний антиоксидантний статус (TAS), продукцію активних форм кисню (ROS), активність g-глутамілтрансферази (gГГТ) та глюкозо-6-фосфатдегідрогенази визначали у зразках після реабілітації в досліджуваних середовищах. Результати. Застосування C60 привело до збільшення метаболічної (в 1,26 разу) та TAS (у 1,74 разу) активностей, до зменшення кількості ROS+ клітин (у 1,35 разу) та до покращення звʼязування сперматогенного епітелію з базальною мембраною порівняно з контролем. Застосування БСA істотно не впливало на досліджувані біохімічні показники, але зменшило кількість канальців із десквамацією сперматогенного епітелію в гістологічних зрізах. Спільне застосування БСА та C60 мало найкращий ефект серед досліджуваних реабілітаційних середовищ, що приводило до збільшення метаболічної активності (в 1,51 разу), активності TAS (у 1,78 разу) і gГГТ (у 1,59 разу), відновлення гістоструктури, а також зменшення кількості ROS+ клітин (у 1,45 разу) порівняно з контрольними зразками. Висновки. Застосування комбінації С60 та БСА підвищує метаболічну й антиоксидантну активність вітрифікованих ФЗКС, а також позитивно впливає на їх гістоструктуру порівняно з контрольними зразками. Слід зазначити, що ефект додавання С60 і БСА до реабілітаційного середовища перевищує результати окремого використання досліджуваних добавок (за метаболічною та gГГT активністю, а також результатами гістологічного дослідження). Ці дані відносяться до репродуктивної медицини і можуть бути використані для розробки ефективного протоколу реабілітації вітрифікованих ФЗКС.Background. Today, cryopreserved reproductive tissues are used to treat some forms of male infertility. However, after long-term preservation of fragments of seminiferous tubules of testes (FSTT) in a low-temperature bank (-196 °С) their morphological and functional characteristics decrease reversibly. To solve this problem after freezing-thawing, the use of rehabilitation media with special additives is promising. Due to the fact that serum albumin and fullerene C60 have powerful protective and antioxidant properties, their use allows to stabilize the plasma membrane, osmotic pressure, and reduce free radicals that make them promising candidates to use in the development of rehabilitation media for biological objects after cryopreservation. Objective. The efficacy of fullerene C60, bovine serum albumin (BSA), and their combination as components of rehabilitation medium of vitrified FSTT of immature rats was studied. Methods. Vitrified-thawed samples of FSTT were incubated (22 °C) for 30 minutes in Leibovitz's medium with addition of 15 mg/mL C60, 5 g/L BSA or their combination. Control samples were incubated in the medium without C60 or BSA addition. Metabolic activity (MTT test), histomorphological data, total antioxidant status (TAS), reactive oxygen species (ROS) production, activity of g-glutamyltransferase (gGGT), and glucose-6-phosphate dehydrogenase were determined in the samples after rehabilitation in the investigated media. Results. The use of C60 led to the increase of metabolic (by 1.26 times) and TAS (by 1.74 times) activities, to the decrease in the number of ROS+ cells (by 1.35 times) and to the improvement of the spermatogenic epithelium binding to the basement membrane versus control sample. Application of BSA did not significantly affect the studied biochemical indices but decreased the number of tubules with desquamation of spermatogenic epithelium in histological sections. The combined use of BSA and C60 had the best effect among investigated rehabilitation media that led to the increase of metabolic activity (by 1.51 times), TAS activity (by 1.78 times), gGGT activity (by 1.59 times), histostructure restoration and the decrease in the number of ROS+ cells (by 1.45 times) compared to the control samples. Conclusions. The use of C60 and BSA combination increases the metabolic and antioxidant activity of vitrified FSTT and also has a positive effect on their histostructural characteristics compared to control samples. It should be noted that the effect of С60 and BSA addition to rehabilitation medium exceeds the results of using the investigated additives separately (by the metabolic and gGGT activity as well as architectonics of vitrified FSTT). These data relate to reproductive medicine and can be used to develop an effective rehabilitation protocol for vitrified FSTT

RMS-R3 – the system for monitoring the region of interactions and background at the LHCB experiment (CERN)

The upgraded Large Hadron Collider beauty (LHCb) detector will provide data taken in Run3 at the instantaneous luminosity of proton-proton collisions increased to 2⋅1033 cm-2s-1 at energies of up to 14 TeV. To ensure the safe operation of the experiment, a new beam and background Radiation Monitoring System (RMS-R3) was built. RMS-R3 is based on metal-foil detector technology developed at the Institute for Nuclear Research, National Academy of Sciences of Ukraine (Kyiv, Ukraine). The system comprises four detector modules with two sensors in each. Their frequency response is proportional to the flux of incident charged particles. The modules are located around the beam pipe at a distance of 2.2 m from the interaction point. The results measured during the Run3 in 2022 testify to the reliable operation of the system. Applying the asymmetry method, high-accuracy data were obtained on the localization of the interactions region and the beam and background contribution

Haemostasis modulation by calix[4]arene methylenebisphosphonic acid C-145 and its sulfur-containing analogue

C-145 (octasodium salt of calix[4]arene-tetra-methylenebisphosphonic acid) was previously considered as specific anti-сoagulant agent that affects fibrin polymerization and does not notably influence other parameters of coagulation system. C-145S (octasodium salt of thiacalix[4]arene-tetra-methylenebisphosphonic acid) possessing wider hydrophobic hole was expected to be more effective antithrombotic agent than C-145. The aim of present work was to compare the action of both organic compounds on fibrin polymerization, fibrinolysis, platelets and endothelial cells. The change of turbidity during fibrin clot formation induced by APTT-reagent and digestion induced by tPA was estimated. Turbidity study was used for the estimation of polymeric fibrin hydrolysis by plasmin in the presence of thiacalix[4]arene C-145S and calix[4]arene C-145. Effects of thiacalix[4]arene C-145S and calix[4]arene C-145 on the activation of Glu-plasminogen by streptokinase were studied using chromogenic substrate S2251. Platelet aggregation study was performed using aggregometry. Stimulated Ca2+ efflux from endoplasmic reticulum and cytoplasm were determined using specific Ca2+-sensitive probes targeted to endoplasmic reticulum (Mag-Fluo-4) and cytoplasm (FURA-2) by spectrofluorimetry. Both C-145 and C-145S decreased the final turbidity of clot and prolonged clot lysis time in blood plasma in comparison to control value. C-145 was shown to be the more effective fibrinolysis inhibitor when studied in model system of polymerized fibrin desAB. C-145S but not C-145 induced concentration changes of Ca2+ in cytoplasm of resting platelets and significantly inhibited (up to 30%) Ca2+ efflux from endoplasmic reticulum of platelets activated by ADP. Both C-145 and C-145S stimulated the proliferation of endothelial cells of PAE cell line. The effect of C-145S was more prominent. In conclusion, calix[4]arene C 145S proved to be the more potent inhibitor of fibrin polymerization in comparison to C-145, which suggested earlier as anticoagulant agent. C-145S proved to have much more outlined inhibitory action on Ca2+-signaling in platelets and stimulatory effect on endothelial cells proliferation. Thus C-145 remained the most prospective molecular platform for the development of antithrombotic agent

Aggregation of platelets, proliferation of endothelial cells and motility of cancer cells are mediated by the Bβ1(15)-42 residue of fibrin(ogen)

The fibrinogen molecule contains multiple binding motifs for different types of cellular receptors, acting as a molecular link between coagulation and cell adhesion. In this study we generated a truncated form of the fibrinogen molecule lacking the Bβ1-42 sequence by site-specific proteolysis and evaluated the role of the fragment in adhesive capabilities of platelets, endothelial and cancer cells. Fibrinogen with the removed Bβ1-42 sequence and fibrin without the Bβ15-42 fragment (desβ1-42 fibrinogen and desABβ15-42 fibrin) were obtained by proteolysis using the specific protease from the venom of Echis multisquamatis. The cleaved fragment was purified by HPLC and was identified using MALDI-TOF. ADP- and collagen-induced aggregation of washed platelets in the presence of fibrinogen desBβ1-42 was studied using an aggregometer. Proliferation of mice aortic endothelial cells (MAEC) and human umbilical vein endothelial cells (HUVEC) was studied using the fibrin desABβ15-42 as the scaffold. Cell viability was quantified by the MTT test (MAEC). Generation time was calculated for the estimation of proliferative activity of HUVEC. Lung cancer cell line Н1299 was used to evaluate cancer cell motility in vitro using the scratch assay. Direct comparison of cellular behavior in the presence of truncated vs native forms demonstrated attenuated cell adhesion in the presence of fibrinogen desBβ1-42 and fibrin desBβ15-42. The platelet aggregation rate was only slightly decreased in the presence of fibrinogen desBβ1-42 but resulted in 15-20% disaggregation of adhered platelets. We also observed the substantial decrease of generation time of HUVEC and inhibition of viability of MAEC cells grown on scaffolds of a desABβ15-42 matrix. Finally, desBβ1-42 modulated the motility of H1299 cells in vitro and suppressed the wound healing by 20% compared to the full-length fibrinogen. We postulate that fragment 1-42 of the BβN-domain of fibrinogen is not sufficient for platelet aggregation, however it may contribute to platelet clot formation in later stages. At the same time, this fragment may be important for establishing proper cell-to-cell contacts and cell viability of endothelial cells. Also, 1-42 amino acid fragment of the BβN-domain supported the migration of cancer cells suggesting that interactions of fibrinogen with cancer cells could be a target for anticancer therapy. The Bβ1-42 fragment of fibrinogen contributes to efficient intracellular interactions of different types of cells, including platelets, endothelial cells and cancer cells

Novel monoclonal antibody to fibrin(ogen) αC-region for detection of the earliest forms of soluble fibrin

Obtaining new monoclonal antibodies (mAbs) towards fibrin(ogen) and its fragments is an important task for studying mechanisms of blood clot formation, searching for novel antithrombotic agents and developing immunodiagnostics. The aim of the present work was to create and characterize a new mAb towards the fibrin(ogen) αС-region. We surmise that having a specific mAb towards this flexible part of the molecule will allow us to study the role of the αС-region in fibrin polymerization and also to develop an approach for detecting the earliest forms of soluble fibrin by sandwich ELISA. Using hybridoma technology we оbtained mAb 1-5A to the αC-region of fibrinogen.. It was characterized using several variations of ELISA and Western blot. Application of specific proteases together with MALDI-TOF analysis allowed us to localize its epitope that is located in fragment 537-595 of the Aα-chain of fibrin(ogen). МAb 1-5A can be used as a detecting tag-antibody in sandwich ELISA for the quantification of the earliest forms of soluble fibrin which are uncleaved by plasmin and preserved C-terminal portions of αC-regions. These earliest forms of soluble fibrin are direct evidence of blood coagulation system activation, thrombin generation and the danger of intravascular thrombus formation. Their determination will provide additional, more accurate information about the state of the blood coagulation system and the risk of blood clotting, which is very important for the timely and correct selection of adequate antithrombotic therapy. MAb 1-5A effectively binds the αC-containing molecules of fibrinogen and fibrin in blood plasma. It also can be used for studying protein-protein and protein-cellular interactions of the αC-regions of fibrin(ogen)

Measurement of antiproton production from antihyperon decays in pHe collisions at √sNN=110GeV

The interpretation of cosmic antiproton flux measurements from space-borne experiments is currently limited by the knowledge of the antiproton production cross-section in collisions between primary cosmic rays and the interstellar medium. Using collisions of protons with an energy of 6.5 TeV incident on helium nuclei at rest in the proximity of the interaction region of the LHCb experiment, the ratio of antiprotons originating from antihyperon decays to prompt production is measured for antiproton momenta between 12 and 110GeV\!/c . The dominant antihyperon contribution, namely Λ¯ → p¯ π+ decays from promptly produced Λ¯ particles, is also exclusively measured. The results complement the measurement of prompt antiproton production obtained from the same data sample. At the energy scale of this measurement, the antihyperon contributions to antiproton production are observed to be significantly larger than predictions of commonly used hadronic production models

A study of CP violation in the decays B±→[K+K-π+π-]Dh± (h= K, π) and B±→[π+π-π+π-]Dh±

The first study of CP violation in the decay mode B±→[K+K-π+π-]Dh± , with h= K, π , is presented, exploiting a data sample of proton–proton collisions collected by the LHCb experiment that corresponds to an integrated luminosity of 9 \,fb - 1 . The analysis is performed in bins of phase space, which are optimised for sensitivity to local CP asymmetries. CP -violating observables that are sensitive to the angle γ of the Unitarity Triangle are determined. The analysis requires external information on charm-decay parameters, which are currently taken from an amplitude analysis of LHCb data, but can be updated in the future when direct measurements become available. Measurements are also performed of phase-space integrated observables for B±→[K+K-π+π-]Dh± and B±→[π+π-π+π-]Dh± decays