Series of rational moduli components of stable rank 2 vector bundles on P3\mathbb{P}^3

We study the problem of rationality of an infinite series of components, the so-called Ein components, of the Gieseker-Maruyama moduli space $M(e,n)$ of rank 2 stable vector bundles with the first Chern class $e=0$ or -1 and all possible values of the second Chern class $n$ on the projective 3-space. The generalized null correlation bundles constituting open dense subsets of these components are defined as cohomology bundles of monads whose members are direct sums of line bundles of degrees depending on nonnegative integers $a,b,c$, where $b\ge a$ and $c>a+b$. We show that, in the wide range when c>2a+b-e,\b>a,\ (e,a)\ne(0,0), the Ein components are rational, and in the remaining cases they are at least stably rational. As a consequence, the union of the spaces $M(e,n)$ over all $n\ge1$ contains an infinite series of rational components for both $e=0$ and $e=-1$. Explicit constructions of rationality of Ein components under the above conditions on $e,a,b,c$ and, respectively, of their stable rationality in the remaining cases, are given. In the case of rationality, we construct universal families of generalized null correlation bundles over certain open subsets of Ein components showing that these subsets are fine moduli spaces. As a by-product of our construction, for $c_1=0$ and $n$ even, they provide, perhaps the first known, examples of fine moduli spaces not satisfying the condition "$n$ is odd", which is a usual sufficient condition for fineness

Математическое моделирование информированности субъектов в системах информационной безопасности

The problem of the functional structures research is considered in this example of information systems. A feature of such research is that it is not always possible to ensure that the research results will match reality. This is a topic of current interest in the field of design and analysis of information security systems and software analysis for undeclared capabilities of systems in general. By undeclared capabilities, we refer to a functionality available in software that is invisible to users and can be used / exploited by an intruder. This paper presents a model of a researcher and of a functional object investigated by him. Based on this model, informational limitations of the researcher are shown. The mathematical model of the subjective structure of an investigated system is constructed. It is shown in which cases this structure is stable. This article answers the question of if the researcher can claim that his subjective functional structure corresponds to the actual structure of the investigated system. We provide examples of such approach on certain mathematical models of information securityВ статье рассмотрена проблема исследования функциональных структур на примере информа- ционных систем. Особенность такого исследования заключается в том, что не всегда возможно добиться того, что результат исследования будет соответствовать реальности. Это крайне актуальная проблема в области разработки и анализа систем информационной безопасности и анализа программного обеспечения на предмет недекларируемых возможностей. В статье дана модель исследователя и исследуемого им функционального объекта. На основании данной модели показаны информационные ограничения исследователя. Построена математическая модель субъ- ективной структуры исследуемой системы, и показано, в каких случаях она является устойчи- вой. Дан также ответ на вопрос, в каком случае субъект может утверждать, что его субъ- ективная функциональная структура объекта соответствует действительной. Приведены при- меры реализации данного подхода на математических моделях информационной безопасност

Development of Immune-Chromatographic Monoclonal Test-System for the Detection of <i>Yersinia pseudotuberculosis</i>, Serogroup I

Objective of the study was to develop monoclonal immunoassay for the detection of the pseudotuberculosis agent, serogroup I. Materials and methods. Specific components, that were used for immune-chromatographic test-system development were mouse monoclonal antibodies of hybrid cell lines, obtained to lipopolysaccharide antigen of the outer membrane of the pathogen’s «cold» variant (YP-101N2V4, YP-105S5A10); and rabbit anti-species antibodies against murine immunoglobulins. Particles, (30±2) nm in the diameter, were used to prepare colloidal gold-antibody conjugate. Antibody concentration for conjugation was 10-15 % greater than the D580 exit point on the plateau. For the production of immune-chromatographic test-system a set of membranes - MDI Easypack - manufactured by «Advanced Microdevice», India was deployed. Finished conjugate was applied onto the membrane by means of impregnation. Antibodies in the selected quantities were applied onto the analytical and control membranes via Dispensers. Substrates coated with the conjugate and ready-made working membranes were vacuum dried in a heat cabinet. Assembled immune-chromatographic test-systems were cut off 4.5 mm each and tested for specificity and sensitivity. Results and conclusions. Developed has been immune-chromatographic test-system for the detection of pseudotuberculosis pathogen, serogroup I. Utilized have been monoclonal antibodies of the hybrid cell line YP-105C5A10 in colloidal gold conjugate and monoclonal antibodies of the hybrid cell line YP-101H2B4 in the test line. The test-system allows for the detection of Y. pseudotuberculosis strains, serogroup I, at concentrations varying from 500 ths. m.c.·cm-3 (8 of the 11 strains under study) up to 4 million m.c.·cm-3 and does not identify closely related yersinia and heterologous microorganisms in quantities of 100 million m.c.·cm-3

MANUFACTURING OF HYBRIDOMAS-PRODUCERS OF MONOCLONAL ANTIBODIES TO BRUCELLOSIS AGENT ANTIGENS

Objective of study is to prepare hybridomas-producers of monoclonal antibodies to brucellosis agent antigens. Materials and methods. B. abortus, B. melitensis, B. suis strains from the State collection of microorganisms of the 48th Central Research Institute Affiliated Branch and BALB/c mice. Hybridization was performed as described by G.Kohler and C.Milstein in modification by Fazekas De St. and Scheidegger D. The study of specific activity of immune sera, hybridoma supernatants, ascites fluid, and monoclonal antibody preparations was performed using ELISA. Results and conclusions. Obtained and characterized have been hybridomas-producers of monoclonal antibodies to specific antigens of brucellosis agent. They are active and stable antibody producers in the repeated passaging both, in vitro and in vivo. Obtained have also been the ascites fluid and preparations of monoclonal antibodies of brucellosis agent. Carried out has been substantiated selection of antibodies which could provide for the most sensitive ELISA. It is established that the monoclonal antibodies produced by hybridomas 232B6H7, 232G12F7, 233B2C5 in combination with brucellosis rabbit immunoglobulins allow for the identification of microbial cells of type strains of various Brucella species in concentrations ranging from 0,25·106 mc·sm–3 up to 1,0·106 mc·sm–3 and gave negative results with cultures of heterologous microorganisms in the contents of 1,0·108 mc·sm–3. Hybridomas-producers of monoclonal antibodies are planned to be used for the construction and manufacturing of immunodetection test-systems