On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations

Criteria for the existence and uniqueness of a solution of a nonlocal second order boundary value problem are estabilished. These criteria apply, in particular, to the case when the nonlinearity has nonintegrable singularities

On a two-point boundary value problem for second order singular equations

summary:The problem on the existence of a positive in the interval $\mathopen ]a,b\mathclose [$ solution of the boundary value problem $$u^{\prime \prime }=f(t,u)+g(t,u)u^{\prime };\quad u(a+)=0, \quad u(b-)=0$$ is considered, where the functions $f$ and $g\:\mathopen ]a,b\mathclose [\times \mathopen ]0,+\infty \mathclose [ \rightarrow \mathbb R$ satisfy the local Carathéodory conditions. The possibility for the functions $f$ and $g$ to have singularities in the first argument (for $t=a$ and $t=b$) and in the phase variable (for $u=0$) is not excluded. Sufficient and, in some cases, necessary and sufficient conditions for the solvability of that problem are established

On Cauchy problem for first order nonlinear functional differential equations of non-Volterra’s type

summary:On the segment $I=[a,b]$ consider the problem $$u^{\prime }(t)=f(u)(t) , \quad u(a)=c,$$ where $f\:C(I,\mathbb{R})\rightarrow L(I,\mathbb{R})$ is a continuous, in general nonlinear operator satisfying Carathéodory condition, and $c\in \mathbb{R}$. The effective sufficient conditions guaranteeing the solvability and unique solvability of the considered problem are established. Examples verifying the optimality of obtained results are given, as well

Remodeling of Phenotype CD16 + CD11b + Neutrophilic Granulocytes in Acute Viral and Acute Bacterial Infections

Neutrophilic granulocytes (NGs) are very important cells of innate immunity that can very quickly realize antibacterial and antiviral defense. Until the present time, the phenomenon of different levels of presentations of membrane receptors CD16 and CD11b NG in normal and pathological conditions wasn’t studied. We had studied the population of CD16+CD11b+NG in two groups of patients with acute viral and acute bacterial infections in the models of acute bacterial tonsillitis (ABT) and acute viral tonsillitis-EBV infection (AEBVI), having the same clinical symptoms in early stages of the disease. Comparative analysis of the redistribution of equipment intensity of CD16 and CD11b has detected three subpopulations of CD16+CD11b+NG population—CD16brightCD11bbright, CD16brightCD11bdim, and CD16dimCD11bbright—in normal and pathological conditions. It was found that subpopulation CD16brightCD11bdimNG dominates in healthy individuals; subpopulation CD16brightCD11bbrightNG dominates in patients with acute viral infection; subpopulation CD16dimCD11bbrightNG dominates in patients with acute bacterial infections. We had demonstrated that the study of CD16+CD11b+NG subpopulations allows in early stage of diseases to diagnose acute viral and acute bacterial infections. Our studies have demonstrated the positive effects of eukaryotic DNA sodium salt on the negatively altered phenotype subpopulation CD16+CD11b+NG, in particular, through the remodeling of the expression of CD11b on NG membrane

Special characteristics of bioelectric activity of human brain during emotional perception of polycode media texts

The scientific research is devoted to the investigation of the bioelectric activity of cerebral cortex during emotional perception of polycode media texts. 11 people at the age of 18-25 years were involved in this research. Zone differences in distribution of a beta rhythm were revealed during comparison of following conditions: closed-eyes test, open-eyes test, and presentation of cognitive information with emotional arousal.Работа посвящена исследованию биоэлектрической активности коры головного мозга при восприятии креолизованного медиатекста. В исследовании были задействованы 11 человек в возрасте 18–25 лет. Выявлены зональные различия в распределении мощности бета-ритма при сравнении следующих состояний: фоновое состояние с закрытыми глазами, фоновое состояние с открытыми глазами, предъявление когнитивной эмоциогенной информации

REMODELING OF THE TRANSFORMED PHENOTYPE OF CD16+CD32+CD11b+ NEUTROPHILIC GRANULOCYTES OF PATIENTS WITH ATYPICAL CHRONIC BACTERIAL INFECTION IN VITRO

The research has shown that the functional state of neutrophilic granulocytes (NG) is determined by the state of NG subpopulation phenotype composition in evaluating the simultaneous expression of CD16, CD32, CD11b membrane markers with considering the density of expressed molecules. The change in NG subpopulations phenotype indicates active or defective inclusion of NG in the immune response in inflammation. Various inducers of endo- and exogenous nature activate NG and promote translocation from cytoplasmic granules and vesicles or expression to the surface cytoplasmic membrane of receptor molecules. In this regard, our interest was in studying the expression peculiarities of CD16, CD32, CD11b NG receptors in patients with atypically occurring bacterial infections (chronic sinusitis) and the possibility of remodeling the NG phenotype under the influence of glucosaminylmuramyl dipeptide (GMDP) and IFNγ in vitro. Subjects of this study were blood samples of patients with chronic sinusitis and conditionally healthy individuals. Flow rate cytometry at CYTOMICS FC500 (Beckman Coulter, USA) was used to evaluate the % NGs expressing CD16, CD32, CD11b, and the fluorescence intensity of these molecules (MFI) before and after incubation with the test substances. Flow cytometry (CYTOMICS FC500, Beckman Coulter, USA) were used to evaluate amount (%) of NGs expressing CD16, CD32, CD11b and mean fluorescence intensity of these molecules (MFI) before and after incubation with the test substances. The studies showed that in patients with chronic sinusitis with persistent recurrent course the presence is characterized by transformed phenotype CD16dimCD32midCD11bbr of CD16+CD32+CD11b+NG subpopulation. We have shown that the revealed changes in the level of expression of trigger membrane receptors do not allow NG to fully engage in inflammatory process and to realize its effector and regulatory functions. Under the influence of GMDP and IFNγ regulatory molecules was demonstrated high mobilization capacity of the studied NGs for functionally significant membrane receptors in realization of various functions

Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

© 2015, Li et al. In this article, we study the existence of positive solutions for a class of singular nonlinear fractional differential equations with Riemann-Stieltjes integral boundary conditions. Using the properties of the Green function and the fixed point theory in cones, we obtain some results on the existence of positive solutions. Our results extend and improve many known results including singular and nonsingular cases

Spatial tactile sensitivity among people working in service sector

В работе описывается использование психофизических методов в исследовании профессиональной деятельности, профессиональной пригодности. Исследованы пространственные пороги чувствительности у мастеров – парикмахеров и мастеров–маникюристов, показана их связь с продолжительностью работы в профессии. В рамках психофизического подхода выявлены различия в выборке парикмахеров и маникюристов по специфическим психофизическими характеристикам, в частности, по динамике тактильной дифференциальной чувствительности в ходе увеличения стажа работы, а также по внутренним взаимосвязям в структуре дифференциальной тактильной чувствительности.This research work is devoted to the using of psychophysical methods in professional activity, professional selection. Spatial tactile thresholds of hairdressers and manicurists are described. Interrelations between different types of spatial tactile sensitivity and duration of professional activity are shown. According to the psychophysical approach, there are some significant differences of specific psychophysical and psycho physiological characteristics, especially in dynamics of tactile differential sensitivity during increase of duration of professional activity, and in internal interrelations in structure of differential tactile sensitivity

In vitro phenotypic re-orientation of functionally important neutrophil subpopulations and their microbicidal activity in the children with purulent inflammatory diseases influenced by glucosaminil muramildipeptide

Numerous studies over last decade have shown that functional capacity of neutrophil granulocytes (NG) determines the course and outcome of many diseases. Identification of phenotypic variants of functionally significant NG subpopulations is a new approach allows us to assess the adequacy or deficiency of NG involvement into infectious inflammation processes at molecular level. An opportunity of reorienting a deficient NG subpopulational phenotype in purulent inflammatory diseases due to the rearrangement of the receptor set induced by various immunotropic substances may serve as a key to recovery of normal NG functioning.Our aim was to study the effect of glucosaminylmuramyldipeptide (GMDP) under in vitro conditions upon the phenotypic profile of four functionally significant subpopulations, i.e., CD62L+CD63-NG, CD62L+CD63+NG and CD64-CD32+CD16+CD11b+NG, CD64+CD32+CD16+CD11b+NG, along with assessment of expression density of appropriate membrane molecules and NG microbicidal activity in the children with purulent inflammatory diseases. 90 samples of peripheral blood (PC) were taken from children 2 to 4 years old, including 12 children with minor purulent infection (MPI), and 7 children were studied as conditionally healthy controls. Their peripheral blood was incubated for 60 minutes at 37 °C with GMP (10-6 g/l). Using flow cytometry technique, the relative numbers of some NG subpopulations, i.e., CD64-CD16+CD32+CD11b+NG, CD64+CD16+CD32+CD11b+NG, CD62L+CD63-NG, CD62L+CD63+NG were evaluated, and the phenotype features of each subpopulation were investigated according to the density of appropriate membrane molecule expression (MFI). In parallel, phagocytic and microbicidal activity of NG was tested in these study groups. The obtained data indicate for presence of for distinct NG subpopulations, both in healthy children and in children with MPI. We have revealed phenotypic transformation of the four studied NG subpopulations from MPI patients including disturbed phagocytic and microbicidal functions of the cells. Using of this in vitro system, we have shown that the transformed phenotype of the four functionally significant NG subpopulations of MPI patients was re-arranged under GMDP treatment. At the same time, the number of CD62L+CD63+NG and CD64-CD32+CD16+CD11b+NG subpopulations was increased, along with decreased amounts of CD64+CD32+CD16+CD11b+NG and CD62L+CD63-NG subpopulations, being accompanied by restoration of microbicidal activity of NGs.The obtained data allow us to accomplish current understanding of immunotropic effects of GMDP, and to extend the potential scope of its experimental and clinical application. The new data on GMDP effects revealed by in vitro system, i.e. phenotype rearrangement of functionally significant NG subpopulations CD64-CD16+CD32+CD11b+, CD64+CD16+CD32+CD11b+, CD62L+CD63-, CD62L+CD63+ in atypical purulent inflammatory diseases in children, may be used in the future in order to develop innovative strategies of immunotherapy aiming for correction of NG dysfunction in children with MPI