An algebraic method of classification of S-integrable discrete models

A method of classification of integrable equations on quad-graphs is discussed based on algebraic ideas. We assign a Lie ring to the equation and study the function describing the dimensions of linear spaces spanned by multiple commutators of the ring generators. For the generic case this function grows exponentially. Examples show that for integrable equations it grows slower. We propose a classification scheme based on this observation.Comment: 11 pages, workshop "Nonlinear Physics. Theory and Experiment VI", submitted to TM

Classification of integrable discrete Klein-Gordon models

The Lie algebraic integrability test is applied to the problem of classification of integrable Klein-Gordon type equations on quad-graphs. The list of equations passing the test is presented containing several well-known integrable models. A new integrable example is found, its higher symmetry is presented.Comment: 12 pages, submitted to Physica Script

The role of small intestine in pathogenesis of common variable immune deficiency

The article presents the results of examination of 32 patients with common variable immune deficiency (barn) with involvement in the pathological process of the digestive system. The features of the clinical picture, the content of immunoglobulins in the blood serum, morphological structure of the mucosa of small intestine as well as treatment. Special attention is paid to the small intestine in the pathogenesis of the barn

Morphological Features of Red Blood Cells in Patients with Severe Concomitant Injury

Objective: to reveal changes in the structure and shape of red blood cells depending on blood loss (BL) volume in patients with severe concomitant injury (SCI). Subjects and methods. Eighteen patients (9 men, 9 women) aged 48.6±16.1 years who had sustained severe concomitant mechanical injury (CMI) with different BL volumes and hemodynamic disorders were examined. According to the volume of BL, the patients were divided into two groups: 1) 7 victims with a BL volume of < 750 ml (5.7±1.9 ml/kg), grade 1 BL; 2) 11 victims with a BL volume of > 2000 ml (37.5±5.1 ml/kg), grade 4 BL. A comparison group consisted of 5 apparently healthy volunteers whose mean age was 26.4±2.7 years. The shapes and sizes of red blood cells were examined by light optical and atomic force microscopy (AFM). To study the composition of red blood cells, ten microliters of whole blood were applied to the slides and red blood cell monolayers were prepared using a V-sampler. The membrane surface was scanned by semicontact resonance AFM. The investigators used NSGL 01-A cantilevers with a resonance frequency in the range of 80200 kHz, a probe radius of 10 nm, 512 and 1024 scanning points, and 100X100 ^m and 10X10 ^m scanning fields. Planar and 3D images were obtained. Results. Calculation of 1000 cells by light optical microscopy and AFM showed significantly different counts of macro- and microcytes in the comparison group. The 100X100-^m field exhibited the following types of red blood cells: discocytes (97.9±1.5% and 96±5%), echinocytes (2.1±0.9% and 3±1%), and squamous cells (0.1±0.02% and 1±0.5%). Within the first 24 hours after injury, the victim group displayed lower normocyte counts and higher counts of macrocytes and microcytes than the control group. AFM in the 100X100-^m field revealed that the victims with SMI when admitted to an intensive care unit exhibited a significant decrease in the counts of discocytes counts and increases in those of echinocytes, stomatocytes, and squamous cells, as compared to the controls. Anisocytosis and poikylocytosis was found to depended on the degree of BL. The squamous cells are most likely to be a variety of young erythrocytes. An appreciable increase in macrocytes and squamous cells on day 5 most likely reflects enhanced compensatory erythropoiesis in response to BL. Examination of red blood cell shapes within the first 24 hours after injury in the AFM field revealed profound discocytes with a protuberance in the center. On day 1 of injury changes in the nanostructure of red blood cell membranes included: 9-fold increase of first-order height (hj); 1.5-fold and 3-fold increase of second- and third-order heights (h2 and h3), respectively. The magnitude of changes in hj, h2 and h3 depended on the volume of BL and tended to decrease within the first two weeks of injury. Conclusion. The victims with SMI were observed to possess significant anisocytosis and poikylocytosis. The changes were associated with the volume of BL and included profound discocytes with a protuberance in the center as well aso changes in heights of nanostructural patterns of red blood cell membranes. Key words: severe concomitant injury, blood loss, atomic force microscopy, light optical microscopy, nanostructure of red blood cell membranes

ПРИНЦИПЫ РАЗРАБОТКИ АЛГОРИТМОВ ОПТИМИЗАЦИИ ФУНКЦИОНАЛЬНОЙ НАДЕЖНОСТИ РАСПРЕДЕЛИТЕЛЬНЫХ СИСТЕМ С УЧЕТОМ ВЛИЯНИЯ ВЕРОЯТНОСТНЫХ ФАКТОРОВ

Reliability  of  distributive  systems  for  electric supply of consumers is considered as a multi-criteria function. For this reason while developing an algorithm for determination  of  optimum  reliability  level  of distributive networks it is necessary to take into account probability character of changes  in corresponding indices.  A mathematical model and algorithm have been developed for determination of optimum reliability level of electric supply systems with due account of probability changes in reliability indices of component elements.Надежность распределительных систем электроснабжения потребителей является  многокритериальной функцией. Поэтому при разработке алгоритмов для определения оптимального уровня надежности распределительных сетей необходимо учесть вероятностный характер изменения соответствующих показателей. Разработаны математическая модель и алгоритм для определения оптимального уровня надежности систем электроснабжения с учетом вероятностного изменения показателей надежности составных элементов

Important problems in the diagnosis and treatment of autoimmune hepatitis (based on the Russian consensus 2017)

The analysis of publications devoted to the Russian Consensus on the Diagnostic and Treatment of Autoimmune Hepatitis (AIH), which was considered at the 43rd annual Scientific Session of the CNIIG From Traditions to Innovation (March 4, 2017) is carried out. The presence of clear algorithms and recommendations for the diagnosis and treatment of AIH significantly help the doctor in real clinical practice, but do not exclude a personified approach to the patient

Особенности клинического течения гипертрофической кардиомиопатии в зависимости от фактора наследственности

The objective was to study the clinical features of symptomatic hypertrophic cardiomyopathy (HCM) depending on the form (familial / non-familial), the age of onset and the presence of arterial hypertension (AH).Methods and materials. During 6 years, we examined 250 HCM patients, 100 patients with symptomatic HCM aged from 18 to 86 years were included in the study. Results. Patients with the clinical manifestations onset at a young age more often had a familial form of the disease, an autosomal dominant type of inheritance, an asymmetric HCM with reverse curve interventricular septal morphology. On the contrary, patients with the clinical manifestations onset at the age of ≥45 years had non-familial form of the disease and asymmetric HCM with basal interventricular septal hypertrophy. The young HCM patients with associated AH more often were obese, had CHF of III–IV functional class (NYHA), larger anteroposterior left atrial diameter than patients without AH and more often needed interventricular septal reduction. HCM patients and associated AH with the disease onset at the age of ≥45 years significantly more often had angina syndrome. Absolute indications for interventricular septal reduction in HCM patients with the disease onset ≥45 years of age were determined only for HCM patients and associated AH. At the same time, 50 % of HCM+AH patients both at a young age and in the older group, had obesity. Conclusions. The interventricular septal morphology differs significantly depending on the age of clinical manifestations onset. Co-existing AH and obesity are predictors of the progressive HCM course and an increase in the proportion of patients with absolute indications for interventricular septal reductions regardless of the age of clinical manifestations onset.Цель – изучить особенности течения симптомной гипертрофической кардиомиопатии (ГКМП) в зависимости от формы (семейная/несемейная), возраста дебюта клинических проявлений и наличия артериальной гипертензии (АГ). Методы и материалы. В течение 6 лет обследовано 250 пациентов, в исследование включено 100 пациентов с симптомным течением ГКМП в возрасте от 18 до 86 лет. Результаты. При дебюте клинических проявлений в молодом возрасте чаще диагностирована семейная форма заболевания, аутосомно-доминантный тип наследования, асимметричная ГКМП с морфологией МЖП по типу двояковыпуклой. Напротив, при дебюте в возрасте 45 лет и старше чаще выявлена несемейная форма заболевания и асимметричная ГКМП с морфологией МЖП по типу максимально выраженной гипертрофии в базальной части МЖП. Пациенты с ГКМП и сопутствующей АГ молодого возраста чаще имели ожирение, ХСН III–IV ФК NYHA, больший передне-задний размер ЛП по сравнению с пациентами без АГ и чаще нуждались в редукции МЖП. Пациенты с ГКМП и сопутствующей АГ с дебютом заболевания в возрасте 45 лет и старше значимо чаще имели синдром стенокардии. Абсолютные показания к редукции МЖП с дебютом ГКМП в возрасте 45 лет и старше определены только у пациентов с сопутствующей АГ. При этом 50 % пациентов с ГКМП+АГ как в молодом возрасте, так и в старшей группе, имели ожирение. Заключение. Паттерн морфологии МЖП имеет значимые отличия в зависимости от возраста дебюта клинических проявлений. Сосуществующие с ГКМП артериальная гипертензия и ожирение являются предикторами прогрессирующего течения ГКМП и увеличения доли пациентов с абсолютными показаниями к редукции МЖП независимо от возраста дебюта клинических проявлений

Eribulin-trastuzumab combination in HER2-positive metastatic breast cancer: updated results from a Russian observational study

Introduction. The standard of 1st line treatment of HER2+ metastatic breast cancer (mBC) is double blockade with trastuzumab and pertuzumab + taxane, 2nd line – Trastuzumab-emtazine. There are no standards for further treatment, as well as the optimal drug sequence. Expansion of the arsenal of therapeutic possibilities and the use of new combinations will certainly improve the results of treatment of this category of patients and increase their life expectancy.Aim. We sought to describe treatment patterns of  eribulin  and clinical outcomes of  metastatic HER2-positive breast cancer treated with eribulin  plus trastuzumab combination in  academic institutions and community oncology practices across the Russian Federation.Materials and methods. Patients treated with eribulin anytime between Jan, 2014 and Sep, 2019 with a diagnosis of MBC were identified by 23 providers from Russia. Providers retrospectively reviewed the health records and abstracted selected data points into an electronic case report form for each eligible patient.Results. 100 HER2-positive pts received eribulin in combination with trastuzumab. Median age was 55 (31–80) yrs and ECOG status 0–3. 67% pts had visceral metastases. Eribulin was administered as 1st and 2nd line to 23 (23%) pts, 3rd line to 31 (31%) pts, 4th line and later to 46 (46%). Median number of cycles was 5 (2–27). ORR was 12%, SD – 72%, SD > 6 months – 23%, PD – 16%. Clinical efficacy rate achieved in 35%. Median PFS was 5.07 months (95% CI 4.021–6.119). According to the ER-status the response to eribulin and trastuzumab was different. ORR was 18.8%, SD 72.9% in pts with ER-positive MBC (n = 48) and 5.8% and 71.2% respectively in ER-negative MBC (n = 52). Median PFS was 6.97 months (95% CI 3.924–10.016) in pts with ER-positive MBC and 4.67 months (95% CI 3.841–5.499) in ER-negative MBC (р = 0.3). The combination was well tolerated: dose reductions were required in 12% pts, withdrawal due to toxicity in 4% pts. The most common type of toxicity was hematological with neutropenia Gr III-IV in 14 (14%) pts. Peripheral neuropathy Gr III was observed in 5 (5%) pts. No cardiotoxicity was detected.Conclusions. This is the real-life data of clinical outcomes for patients receiving eribulin plus trastuzumab for HER2-positive MBC throughout the Russian Federation. Our experience with eribulin plus trastuzumab demonstrates that this combination may be a potential effective treatment option for HER-2 positive MBC patients

Magnetic and structural properties of barium hexaferrite BaFe12O19 from various growth techniques

Barium hexaferrite powder samples with grains in the m-range were obtained from solid-state sintering, and crystals with sizes up to 5 mm grown from PbO, Na2CO3, and BaB2O4 fluxes, respectively. Carbonate and borate fluxes provide the largest and structurally best crystals at significantly lower growth temperatures of 1533 K compared to flux-free synthesis (1623 K). The maximum synthesis temperature can be further reduced by the application of PbO-containing fluxes (down to 1223 K upon use of 80 at % PbO), however, Pb-substituted crystals Ba1-xPbxFe12O19 with Pb contents in the range of 0.23(2) x 0.80(2) form, depending on growth temperature and flux PbO content. The degree of Pb-substitution has only a minor influence on unit cell and magnetic parameters, although the values for Curie temperature, saturation magnetization, as well as the coercivity of these samples are significantly reduced in comparison with those from samples obtained from the other fluxes. Due to the lowest level of impurities, the samples from carbonate flux show superior quality compared to materials obtained using other methods

Surface waves and crustal structure on Mars

We detected surface waves from two meteorite impacts on Mars. By measuring group velocity dispersion along the impact-lander path, we obtained a direct constraint on crustal structure away from the InSight lander. The crust north of the equatorial dichotomy had a shear wave velocity of approximately 3.2 kilometers per second in the 5- to 30-kilometer depth range, with little depth variation. This implies a higher crustal density than inferred beneath the lander, suggesting either compositional differences or reduced porosity in the volcanic areas traversed by the surface waves. The lower velocities and the crustal layering observed beneath the landing site down to a 10-kilometer depth are not a global feature. Structural variations revealed by surface waves hold implications for models of the formation and thickness of the martian crust.D.K., S.C., D.G., J.C., C.D., A. K., S.C.S., N.D., and G.Z. were supported by the ETH+ funding scheme (ETH+02 19-1: “Planet Mars”). Marsquake Service operations at ETH Zürich were supported by ETH Research grant ETH-06 17-02. N.C.S. and V.L. were supported by NASA PSP grant no. 80NSSC18K1628. Q.H. and E.B. are funded by NASA grant 80NSSC18K1680. C.B. and J.L. were supported by NASA InSight PSP grant no. 80NSSC18K1679. S.D.K. was supported by NASA InSight PSP grant no. 80NSSC18K1623. P.L., E.B., M.D., H.S., E.S., M.W., Z.X., T.W., M.P., R.F.G. were supported by CNES and the Agence Nationale de la Recherche (ANR-19-CE31-0008-08 MAGIS) for SEIS operation and SEIS Science analysis. A.H., C.C. and W.T.P. were supported by the UKSA under grant nos. ST/R002096/1, ST/ W002523/1 and ST/V00638X/1. Numerical computations of McMC Approach 2 were performed on the S-CAPAD/DANTE platform (IPGP, France) and using the HPC resources of IDRIS under the allocation A0110413017 made by GENCI. A.H. was supported by the UKSA under grant nos. ST/R002096/1 and ST/W002523/1. F.N. was supported by InSight PSP 80NSSC18K1627. I.J.D. was supported by NASA InSight PSP grant no. 80NSSC20K0971. L.V.P. was funded by NASANNN12AA01C with subcontract JPL-1515835. The research was carried out in part by W.B.B., M.G. and M.P.P. at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration (80NM0018D0004)Peer reviewe