Parabolic resonances and instabilities in near-integrable two degrees of freedom Hamiltonian flows

When an integrable two-degrees-of-freedom Hamiltonian system possessing a circle of parabolic fixed points is perturbed, a parabolic resonance occurs. It is proved that its occurrence is generic for one parameter families (co-dimension one phenomenon) of near-integrable, t.d.o. systems. Numerical experiments indicate that the motion near a parabolic resonance exhibits new type of chaotic behavior which includes instabilities in some directions and long trapping times in others. Moreover, in a degenerate case, near a {\it flat parabolic resonance}, large scale instabilities appear. A model arising from an atmospherical study is shown to exhibit flat parabolic resonance. This supplies a simple mechanism for the transport of particles with {\it small} (i.e. atmospherically relevant) initial velocities from the vicinity of the equator to high latitudes. A modification of the model which allows the development of atmospherical jets unfolds the degeneracy, yet traces of the flat instabilities are clearly observed

Separatrix splitting at a Hamiltonian 02iω0^2 i\omega bifurcation

We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Hamiltonian system with two degrees of freedom. We assume that the unperturbed fixed point has two purely imaginary eigenvalues and a double zero one. It is well known that an one-parametric unfolding of the corresponding Hamiltonian can be described by an integrable normal form. The normal form has a normally elliptic invariant manifold of dimension two. On this manifold, the truncated normal form has a separatrix loop. This loop shrinks to a point when the unfolding parameter vanishes. Unlike the normal form, in the original system the stable and unstable trajectories of the equilibrium do not coincide in general. The splitting of this loop is exponentially small compared to the small parameter. This phenomenon implies non-existence of single-round homoclinic orbits and divergence of series in the normal form theory. We derive an asymptotic expression for the separatrix splitting. We also discuss relations with behaviour of analytic continuation of the system in a complex neighbourhood of the equilibrium

Diagnostics of the Manifestations of Clip Thinking in Older Preschool Children: Theoretical Justification

In connection with the development and spread of information and communication technologies and electronic means of communication, a new type of thinking is being formed in modern preschool children. This type of thinking is characterized by scientists as a clip, which is basically superficial, fragmentary, has an illogic, violation of cause-and-effect relationships. The authors selected diagnostic tools that will allow us to comprehensively study the features of clip thinking in older preschool children. Based on the selected criteria, the levels of clip thinking of older preschoolers were developed. The authors substantiate the psychological and pedagogical prevention of clip thinking in preschool children. The necessity and possibility of forming system thinking in preschool age as an alternative to clip thinking are analyzed.Описан новый тип мышления у современных детей дошкольного возраста, который ученые характеризуют как клиповое мышление, в основе своей поверхностное, фрагментарное, обладающее алогичностью, нарушением причинно-следственных связей. Подобран диагностический инструментарий, который позволит комплексно изучить особенности проявления клипового мышления у детей старшего дошкольного возраста. Выделены критерии, разработаны уровни клипового мышления старших дошкольников. Обоснована необходимость ранней диагностики и профилактики проявлений клипового мышления у детей дошкольного возраста. Проанализирована необходимость и возможность формирования системного мышления в дошкольном возрасте как альтернативы клиповому мышлению

Time- and dose dependent actions of cardiotonic steroids on transcriptome and intracellular content of Na+ and K+: a comparative analysis

Recent studies demonstrated that in addition to Na+,K+-ATPase inhibition cardiotonic steroids (CTSs) affect diverse intracellular signaling pathways. This study examines the relative impact of [Na+]i/[K+]i-mediated and -independent signaling in transcriptomic changes triggered by the endogenous CTSs ouabain and marinobufagenin (MBG) in human umbilical vein endothelial cells (HUVEC). We noted that prolongation of incubation increased the apparent affinity for ouabain estimated by the loss of [K+]i and gain of [Na+]i. Six hour exposure of HUVEC to 100 and 3,000 nM ouabain resulted in elevation of the [Na+]i/[K+]i ratio by ~15 and 80-fold and differential expression of 258 and 2185 transcripts, respectively. Neither [Na+]i/[K+]i ratio nor transcriptome were affected by 6-h incubation with 30 nM ouabain. The 96-h incubation with 3 nM ouabain or 30 nM MBG elevated the [Na+]i/[K+]i ratio by ~14 and 3-fold and led to differential expression of 880 and 484 transcripts, respectively. These parameters were not changed after 96-h incubation with 1 nM ouabain or 10 nM MBG. Thus, our results demonstrate that elevation of the [Na+]i/[K+]i ratio is an obligatory step for transcriptomic changes evoked by CTS in HUVEC. The molecular origin of upstream [Na+]i/[K+]i sensors involved in transcription regulation should be identified in forthcoming studies

Detection of antibodies to erythropoietin-based drugs: is it possible to create the universal test system?

Our aim was to compare different immobilized erythropoietin (EPO) preparations for their ability to detect anti-EPO IgG antibodies in blood sera of EPO-treated patients with ELISA technique. 294 serum samples of the patients treated with erythropoietin were analyzed. 127 serum samples of patients who did not receive recombinant human EPO (rhEPO) were studied for comparative analysis. ELISA assay was performed, and different rhEPO drugs were immobilized on the anti-EPO monoclonal antibody-coated plates. Horseradish peroxidase-conjugated mouse monoclonal antibodies to human IgG, IgG1, and IgG4 was used for detection. The following drugs were studied: recombinant human erythropoietin rhEPO-beta (Shandong Kexing Bioproducts), European standard of erythropoietin BRP 3, commercial drugs Aranesp (Amgen Europe B.V.), Mircera (F. Hoffmann-La Roche Ltd.), Eprex (Johnson & Johnson LLC), Eralfon (Pharmaceutical Company Sotex). The sensitivity of the method was expressed as a positivity index (IP). IP calculated as the ratio of OD from tested sera to OD at the cut-off levels. The latter was assumed as a mean OD±SD for serum samples from EPO-naive patients. The results were evaluated as positive with IP > 1.1, and negative at IP < 0.9. Results in the range of 0.9 ≤ IP < 1.1 were considered as unidentified. Among the 294 samples, 32 specimens were evaluated as positive or unidentified for total IgG anti-EPO antibodies. The unidentified samples were detected in 1.0-1.7% of all cases. IgG1 subclass antibodies were found in 50-56.3% of patients and IgG4 subclass antibodies, in 43.850% of the patients. Mann—Whitney test showed a significant difference between the test samples compared to control group for all the ELISA modifications (p = 0.001). The Kruskal—Wallis test did not show significant differences between the IP results obtained with any of five immobilized EPO drugs (p = 0.05). The correlation quotient of IP was in the range of 0.99-0.96 for total IgG and > 0.98 for two subclasses of antibodies. Linear regression coefficients were close to one, thus indicating absence of significant differences in the sensitivity of the compared methods. This study indicate the opportunity of using the similar test systems to determine anti-EPO antibodies in the patients treated with various rhEPO drugs. Therefore, it is possible to develop a universal commercial test system to this purpose

Synthesis of Carbon Nanotubes and Nanofibers on Silica and Cement Matrix Materials

In order to create strong composite materials, a good dispersion of carbon nanotubes (CNTs) and nanofibers (CNFs) in a matrix material must be obtained. We proposed a simple method of growing the desirable carbon nanomaterial directly on the surface of matrix particles. CNTs and CNFs were synthesised on the surface of model object, silica fume particles impregnated by iron salt, and directly on pristine cement particles, naturally containing iron oxide. Acetylene was successfully utilised as a carbon source in the temperature range from 550 to 750 C. 5–10 walled CNTs with diameters of 10–15 nm at 600 C and 12–20 nm at 750 C were synthesised on silica particles. In case of cement particles, mainly CNFs with a diameter of around 30 nm were grown. It was shown that high temperatures caused chemical and physical transformation of cement particles.Peer reviewe

Seroimmunotyping of African swine fever virus

The extreme genetic and immunobiological heterogeneity exhibited by the African swine fever virus (ASFV) has been a significant impediment in the development of an efficacious vaccine against this disease. Consequently, the lack of internationally accepted protocols for the laboratory evaluation of candidate vaccines has become a major concern within the scientific community. The formulation of such protocols necessitates the establishment of a consensus at the international level on methods for the determination of homologous and heterologous isolates/strains of ASFV. The present article provides a comprehensive description of biological techniques employed in the classification of ASFV by seroimmunotypes. These techniques involve a holistic evaluation of ASFV isolates/strains based on their antigenic properties as determined by the hemadsorption inhibiting test (HAdI) using type-specific sera and an immunological test (IT) conducted on pigs inoculated with attenuated strains. The article outlines the methods for setting up the HAdI test, an IT on pigs, and the processes involved in the acquisition of type-specific serums for the HAdI test. It is pertinent to note that the definitive classification of seroimmunotype can only be ascertained after conducting an IT on pigs. The findings from the HAdI test or the phylogenetic analysis of the EP402R gene should be considered preliminary in nature

Coagulation Disorders in Infective Endocarditis: Role of Pathogens, Biomarkers, Antithrombotic Therapy (Systematic Review)

The issue of antithrombotic therapy in patients with infective endocarditis has been studied for over 75 years. During that time studying of pathogenesis of the disease and its embolic complications, lead to the introduction of the concept of “immunothrombosis”. That mechanism allows infective agents (mostly bacteria) to be cloaked from the immune system and to multiply freely, leading to growth of vegetation, thus resulting in higher chance of fragmentation. Small-scale experimental and clinical studies on the correction of hemostatic disorders in infective endocarditis, that were performed in 20th century, didn’t show any significant results, that could affect clinical practice. However, reinterpretation of available data on coagulative system will allow to have elements of hemostasis as an application point in treating infective endocarditis. The article will discuss latest insights on the role of hemostasis system in pathophysisology of infective endocarditis, its effects on the development of the embolic complications, perspectives for diagnostics and treatment