CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems

We present the CAPD::DynSys library for rigorous numerical analysis of dynamical systems. The basic interface is described together with several interesting case studies illustrating how it can be used for computer-assisted proofs in dynamics of ODEs.Comment: 25 pages, 4 figures, 11 full C++ example

The concept of national security in the light of Aristotle’s philosophy of Politics

Purpose: to present the main assumptions of Aristotleʼs Politics through the prism of the category of national security. Also, to reflect on the characteristics of political systems presented by Aristotle as the basis for the search for the essence of the functioning of the state, as well as an attempt to describe the perfect state (politeia). Method: the research was conducted using the following general scientific and special methods: the historical method during the study of the development of the political systems by Aristotle in chronological order; the method of analysis and synthesis related to the functioning of the state by Aristotle, abstract-logical method – for formulating theoretical generalizations and research conclusions. The results of the study: in the history of socio-political thought, Politics should be perceived as an important work that was the first to scientifically deal with the entire spectrum of issues of internal and external politics, tasks faced by rulers and citizens, goals of the state, and factors of its stability and development. Theoretical implications: deepened unique perception of the state, in line with the spirit of antiquity, in which the boundary between politics and ethics is not clearly drawn. It really matters, as seen from the current approaches to the roles the state is able or supposed to play. That’s why it is worth treating the research as a good starting point for analyzing the tasks of the state, including national security. Практична цінність дослідження: the results of the research can be considered, while analyzing the socio-political theory of Aristotle, as a supporter of the democratic system - looking for inspiration and parallel solutions for the political culture of current liberal democratic societies. Papertype: theoretical

Conditions for the sustainability of democracy according to Aristotle

Purpose: to present the national security environment from the perspective of the main assumptions formulated by Aristotle. This was he, who examined 158 constitutions of states, and he also undertook the work of describing the known regimes in detail. He can be considered the first thinker to approach the entire spectrum of political and social issues in a scientific manner. Method: the research was conducted using the following general scientific and special methods: the historical method during the study of the examination of constitutions by Aristotle; the method of analysis and synthesis related to the functioning of the state by Aristotle, abstract-logical method – for formulating theoretical generalizations and research conclusions. The results of the study: are related to Aristotleʼs indications, that a democratic system can be a matrix for other forms of government and of utmost importance is to preserve sustainability. The intention was not to develop or to reject the existing theories, but it was possible to formulate the assumption, that democracy, as we know it, has been a specific system whose durability depends on specific virtues and goods, most often called liberal. Theoretical implications: the practitioners can learn from the paper, that following Aristotle, the virtue of moderation should be incorporated into the cross-section of liberal political values for the benefit of the sustainability of democracy and the citizens who participate in its achievements. In this respect, the relationship between politics and ethics was revealed, which is characteristic of the classically understood philosophy of politics. Practical implications: the findings could serve as the research streams related to deeper analysis of the democratic systems, and the relations with the essence of the democracy of ancient Athens and looking for inspiration and parallel solutions for the political culture of current liberal democratic societies. Papertype: theoretical

Computing Fundamental Group via Forman’s Discrete Morse Theory Extended abstract

We present research in progress on the algorithmic computation of the fundamental group of a CW complex. We use the algorithm to compute certain algebraic invariants of the fundamental group of the complement of a knot. We show that the invariants classify the prime knots up to 13 crossings. The long term goal is an automated classification of knots in 3D images, in particular images of proteins

Identification of transplanted pancreatic islet cells by radioactive Dithizone-[131I]-Histamine conjugate. Preliminary report

Background: The unique mechanism of dithizone action in the interior of the viable pancreatic islet suggests the possible development of a specific radiopharmaceutical that may have a potential clinical application in the diagnosis of the pancreatic organ allografts or islets rejection. The radiodiagnostic properties of the newly developed radioactive analogue of dithizone, i.e. Dithizone-[131I]-Histamine conjugate have been evaluated in the present study. METHODS: The four islet cells transplantation models were chosen for this purpose. The most important feature of the Dithizone-[131I]-Histamine conjugate is its possessed ability of zinc chelation. As was presented in the recent study, the conjugate stains pink-reddish the isolated pancreatic islets in vitro. Among the studied transplantation models, only the islets grafting under testis capsule enabled determination of the pancreatic islets in rats by radioactive Dithizone-[131I]-Histamine conjugate. The level of the radioactivity in the recipient testis (right) was almost two times higher compared to the controls (0.24 vs. 0.13% ID/g, respectively). CONCLUSIONS:These preliminary data demonstrate the ability of the developed radioactive analogue of dithizone for in vivo identification of transplanted pancreatic islets, and suggests a potential clinical application of the radiodithizone in the diagnosis of the pancreatic islet rejection

The impact of legal nihilism on the Russian Federation security

PURPOSE: This work is devoted to the legal and ethical aspects of the Russian nihilism and those factors that effectively reduce society's motivation to comply with the law. The phenomenon of legal nihilism affects various countries: both developed and those considered backward. A remarkable expansion of legal nihilism is observed on the ground of the modern Russian state.DESIGN/METHODOLOGY/APPROACH: The first objective of this study was to analyse the peculiarities of Russian legal nihilism, its roots, and the consequences it entails. For it raises the security questions of is legal nihilism dangerous? Can a country gripped by this variety of nihilism threaten its neighbours? How do Russian scholars perceive and evaluate the phenomenon of legal nihilism? The following research procedures were used: 1. Literature review; 2. Collection of qualitative and quantitative data; 3. Qualitative analysis; 4. Formulation of conclusions.FINDINGS: Russian researchers recognize social nihilism as a very serious problem of contemporary Russian society. Aggressive and disregarding the law leads to an increase in crime, deterioration of the moral condition of the nation, and an increase in the popularity of the prison subculture. A particularly dangerous situation arises when representatives of the judiciary, law enforcement agencies, employees of state institutions and high-level officials fall into legal nihilism. When a state becomes a de facto criminal organization, it poses a threat to its own security and to the security of neighbouring countries. According to Russian researchers, the cure for a deep political and social crisis resulting from legal nihilism is a thorough legal education, the fight against corruption and the crystallization of more precise legal regulations.PRACTICAL IMPLICATIONS: This paper is devoted to analysing the legal and ethical aspects of the nihilism, as a set of views and attitudes based on a negative or indifferent attitude towards the law. The legal nihilist considers the law to be a superfluous and even harmful institution. Legal nihilism can be regarded as a form of philosophy questioning the role of law in building social well-being.ORIGINALITY/VALUE: The article presents original scientific research an alternative view of legal nihilism. Legal nihilism developed particularly intensively in Russia. The sources of this phenomenon lie in the Russian mentality, authoritarian and totalitarian forms of government, which are an inseparable element of Russian statehood, the lack of a developed legal culture, or low legal awareness of citizens. In various historical periods, for the average Russian, the observance of traditions and religious precepts was more important than the observance of the law established by the state. After the October Revolution, religion was supplanted by communist ideology. The law was considered a relic, which was to disappear as a result of the progress of civilization.peer-reviewe

Legal and moral aspects οf dealing with the bodies of fallen soldiers in the Russian aggression war against Ukraine

PURPOSE: This work is devoted to the moral and legal aspects of dealing with the bodies of fallen enemy soldiers on the Ukrainian side. During the so-called a special military operation against alleged Ukrainian neo-Nazis, the Russian army suffered very high casualties. After nine months of fighting, this number increased to about 90,000. victims. Such a high number of dead bodies is a challenge for the Ukrainian authorities. As a party that respects international conventions, Ukraine has committed itself to collecting, storing and identifying the bodies of a fallen enemy.DESIGN/METHODOLOGY/APPROACH: The first objective of this study was to describe and evaluate the detailed legal basis on which the Ukrainian authorities carry out the given procedures. For it raises the question of how the enormous injustices suffered by the Ukrainian people will affect their moral condition? Will their anger and contempt towards the occupier allow them to retain their own humanity? Will the enemy not infect them with their own bestiality and hatred? The following research procedures were used: 1. Literature review; 2. Collection of qualitative and quantitative data; 3. Qualitative analysis; 4. Formulation of conclusions.FINDINGS: Philosophical ideas were also raised, which were the basis for this and no other w the migratory and economic crisis triggered by Russia's military onslaught against Ukraine has proved a test for a number of international human rights and peace-keeping organisations. But the biggest challenge has been thrown at Ukraine. It is not just about the hardships of war or the humanitarian disaster facing Ukrainian society. The problem is much deeper. Here, the undoubted test for the Ukrainian side is the treatment of prisoners of war and the remains of the enemy. So far, Ukraine seems to be winning in this moral field as well.PRACTICAL IMPLICATION: This paper is devoted to analysing the legal and ethical aspects of the treatment of the bodies of fallen soldiers fighting on the side of the Russian Federation of understanding the concept of dignified treatment of human corpses.ORIGINALITY/VALUE: The article presents original scientific research an alternative view of the personnel losses on the Russian side which proved incomparably higher. Indeed, Putin's regime was not prepared to wage a war on this scale. The Russian Federation was expected to lose around 90,000 soldiers. Additionally, if one considers soldiers who were wounded, were taken prisoner or went missing, Russian war losses would rise to around 200,000. At the same time, such many dead poses an undoubted organisational challenge, as they cannot be abandoned on the battlefield. This brings us to the main thread of our deliberations.peer-reviewe

Synthesis of New Styrylquinoline Cellular Dyes, Fluorescent Properties, Cellular Localization and Cytotoxic Behavior

New styrylquinoline derivatives with their photophysical constants are described. The synthesis was achieved via Sonogashira coupling using the newly developed heterogeneous nano-Pd/Cu catalyst system, which provides an efficient synthesis of high purity products. The compounds were tested in preliminary fluorescent microscopy studies to in order to identify their preferable cellular localization, which appeared to be in the lipid cellular organelles. The spectroscopic properties of the compounds were measured and theoretical TD- DFT calculations were performed. A biological analysis of the quinolines that were tested consisted of cytotoxicity assays against normal human fibroblasts and colon adenocarcinoma cells. All of the compounds that were studied appeared to be safe and indifferent to cells in a high concentration range. The presented results suggest that the quinoline compounds that were investigated in this study may be valuable structures for development as fluorescent dyes that could have biological applications

Microvascular dysfunction in ankylosing spondylitis is associated with disease activity and is improved by anti-TNF treatment.

Ankylosing spondylitis (AS) is associated with high cardiovascular morbidity and mortality. Recent studies indicate that microvascular dysfunction may underlie cardiovascular risk in AS. We hypothesized, that microvascular morphology and dysfunction is linked to AS activity and is modifiable by TNF-α inhibitor (TNFi) treatment. Functional Laser Doppler Flowmetry with post-occlusive reactive hyperemia, and structural nailfold capillaroscopy were performed in 54 patients with AS and 28 matched controls. Active AS was diagnosed based on BASDAI ≥ 4 (n = 37). Effects of 3-month TNFi on microcirculation in active AS were studied. AS was associated with prolonged time to peak hyperemia compared to healthy controls. High disease activity was associated with increased time to peak hyperemia and decreased peak hyperemia when compared to patients with inactive AS. In capillaroscopy, AS was associated with morphological abnormalities indicating increased neoangiogenesis and pericapillary edema compared to controls. Microvascular function improved following 3 months of TNFi in reference to basal flow as well as post-occlusive parameters. TNFi reduced pericapillary edema, while other parameters of capillary morphology remained unchanged. Microvascular dysfunction and capillary neovascular formation are associated with disease activity of AS. Anti-TNF-α treatment may restore microcirculation function and capillary edema but does not modify microvascular structural parameters

KORTES Mission for Solar Activity Monitoring Onboard International Space Station

peer reviewedWe present a description of the recent advances in the development of the KORTES assembly—the first solar oriented mission designed for the Russian segment of the International Space Station. KORTES consists of several imaging and spectroscopic instruments collectively covering a wide spectral range extending from extreme ultraviolet (EUV) wavelengths to X-rays. The EUV telescopes inside KORTES will trace the origin and dynamics of various solar phenomena, e.g., flares, CMEs, eruptions etc. EUV spectra provided by grazing-incidence spectroheliographs will enable precise DEM-diagnostics during these events. The monochromatic X-ray imager will observe the formation of hot plasma in active regions and outside them. The SolpeX module inside KORTES will offer an opportunity to measure fluxes, Doppler shifts and polarization of soft X-ray emission both in lines and continuum. SolpeX observations will contribute to studies of particle beams and chromospheric evaporation. The instrumentation of KORTES will employ a variety of novel multilayer and crystal optics. The deployment of KORTES is planned for 2024