Generalization of the Modified Bessel Function and Its Generating Function

2000 Mathematics Subject Classification: 33C10, 33-02, 60K25This paper presents new generalizations of the modified Bessel function and its generating function. This function has important application in the transient solution of a queueing system

Fractional queues with catastrophes and their transient behaviour

Starting from the definition of fractional M/M/1 queue given in the reference by Cahoy et al. in 2015 and M/M/1 queue with catastrophes given in the reference by Di Crescenzo et al. in 2003, we define and study a fractional M/M/1 queue with catastrophes. In particular, we focus our attention on the transient behaviour, in which the time-change plays a key role. We first specify the conditions for the global uniqueness of solutions of the corresponding linear fractional differential problem. Then, we provide an alternative expression for the transient distribution of the fractional M/M/1 model, the state probabilities for the fractional queue with catastrophes, the distributions of the busy period for fractional queues without and with catastrophes and, finally, the distribution of the time of the first occurrence of a catastrophe

Communication of characteristics with sense of humour and characteristics of hardiness at students

The article presents data of theoretical bases of hardiness and sense of humour. The results of empiric research are presented on Ural State Pedagogical University students (n = 60 students, 17–22 years). A diagnostic tool was used: test of sense of humor H. Eysenk and H. Wilson, test of styles of humor M.Rod, test of hardiness of S. R. Maddi in adaptation of D. A. Leont’eva. Shows the relationship between characteristics of hardiness and abilities of sense of humour. The applied aspect of the investigated problem can be realized in development of the program of development of hardiness on facilities of development of sense of humour in group and in individual work.Изложены теоретические основания жизнестойкости и чувства юмора. Представлены результаты эмпирического исследования, выполненного на выборке студентов. Установлены связи между характеристиками жизнестойкости и чувством юмора

Fractional oscillator process with two indices

We introduce a new fractional oscillator process which can be obtained as solution of a stochastic differential equation with two fractional orders. Basic properties such as fractal dimension and short range dependence of the process are studied by considering the asymptotic properties of its covariance function. The fluctuation--dissipation relation of the process is investigated. The fractional oscillator process can be regarded as one-dimensional fractional Euclidean Klein-Gordon field, which can be obtained by applying the Parisi-Wu stochastic quantization method to a nonlocal Euclidean action. The Casimir energy associated with the fractional field at positive temperature is calculated by using the zeta function regularization technique.Comment: 32 page

Association Between Schizophrenia-Related Polygenic Liability and the Occurrence and Level of Mood-Incongruent Psychotic Symptoms in Bipolar Disorder

Importance Bipolar disorder (BD) overlaps schizophrenia in its clinical presentation and genetic liability. Alternative approaches to patient stratification beyond current diagnostic categories are needed to understand the underlying disease processes/mechanisms. Objectives To investigate the relationship between common-variant liability for schizophrenia, indexed by polygenic risk scores (PRS) and psychotic presentations of BD, using clinical descriptions which consider both occurrence and level of mood-incongruent psychotic features. Design Case-control design: using multinomial logistic regression, to estimate differential associations of PRS across categories of cases and controls. Settings & Participants 4399 BD cases, 2966 (67%) female, mean age-at-interview 46 [sd 12] years, from the BD Research Network (BDRN) were included in the final analyses. For comparison genotypic data for 4976 schizophrenia cases and 9012 controls from the Type-1 diabetes genetics consortium and Generation Scotland were included. Exposure Standardised PRS, calculated using alleles with an association p-value threshold < 0.05 in the second Psychiatric Genomics Consortium genome-wide association study of schizophrenia, adjusted for the first 10 population principal components and genotyping-platform. Main outcome measure Multinomial logit models estimated PRS associations with BD stratified by (1) Research Diagnostic Criteria (RDC) BD subtypes (2) Lifetime occurrence of psychosis.(3) Lifetime mood-incongruent psychotic features and (4) ordinal logistic regression examined PRS associations across levels of mood-incongruence. Ratings were derived from the Schedule for Clinical Assessment in Neuropsychiatry interview (SCAN) and the Bipolar Affective Disorder Dimension Scale (BADDS). Results Across clinical phenotypes, there was an exposure-response gradient with the strongest PRS association for schizophrenia (RR=1.94, (95% C.I. 1.86, 2.01)), then schizoaffective BD (RR=1.37, (95% C.I. 1.22, 1.54)), BD I (RR= 1.30, (95% C.I. 1.24, 1.36)) and BD II (RR=1.04, (95% C.I. 0.97, 1.11)). Within BD cases, there was an effect gradient, indexed by the nature of psychosis, with prominent mood-incongruent psychotic features having the strongest association (RR=1.46, (95% C.I. 1.36, 1.57)), followed by mood-congruent psychosis (RR= 1.24, (95% C.I. 1.17, 1.33)) and lastly, BD cases with no history of psychosis (RR=1.09, (95% C.I. 1.04, 1.15)). Conclusion We show for the first time a polygenic-risk gradient, across schizophrenia and bipolar disorder, indexed by the occurrence and level of mood-incongruent psychotic symptoms

Transient numerical approximation of hyperbolic diffusions and beyond

In this paper different types of hyperbolic diffusions and their corresponding transient Fokker–Planck equation are described and numerical solutions are presented. Diffusion models were developed that can fit both the marginal distribution and correlation structure and they have found a wide application in finance, turbulence and environmental time series. Hyperbolic diffusions have a complicated structure and variety of parameters and are extremely difficult to study and to model. We propose a numerical technique that solves one-dimensional hyperbolic Fokker–Planck equation in time dependent case. Note that this is a first study where transient hyperbolic diffusions are considered. The numerical technique is based on adaptive reduced basis method with spectral element discretization. It involves enrichment and projection stages where an optimal basis is found in a dynamic way using the singular value decomposition (SVD). The approach dramatically reduces the number of degrees of freedom required to solve the problem. The numerical evaluations of the Fokker–Planck equation are verified with available stationary solutions

Controlling transmembrane protein concentration and orientation in supported lipid bilayers

The trans-membrane protein – proteorhodopsin (pR) has been incorporated into supported lipid bilayers (SLB). In-plane electric fields have been used to manipulate the orientation and concentration of these proteins, within the SLB, through electrophoresis leading to a 25-fold increase concentration of pR

Genome-wide common and rare variant analysis provides novel insights into clozapine-associated neutropenia

The antipsychotic clozapine is uniquely effective in the management of schizophrenia; however, its use is limited by its potential to induce agranulocytosis. The causes of this, and of its precursor neutropenia, are largely unknown, although genetic factors have an important role. We sought risk alleles for clozapine-associated neutropenia in a sample of 66 cases and 5583 clozapine-treated controls, through a genome-wide association study (GWAS), imputed human leukocyte antigen (HLA) alleles, exome array and copy-number variation (CNV) analyses. We then combined associated variants in a meta-analysis with data from the Clozapine-Induced Agranulocytosis Consortium (up to 163 cases and 7970 controls). In the largest combined sample to date, we identified a novel association with rs149104283 (odds ratio (OR)=4.32, P=1.79 × 10−8), intronic to transcripts of SLCO1B3 and SLCO1B7, members of a family of hepatic transporter genes previously implicated in adverse drug reactions including simvastatin-induced myopathy and docetaxel-induced neutropenia. Exome array analysis identified gene-wide associations of uncommon non-synonymous variants within UBAP2 and STARD9. We additionally provide independent replication of a previously identified variant in HLA-DQB1 (OR=15.6, P=0.015, positive predictive value=35.1%). These results implicate biological pathways through which clozapine may act to cause this serious adverse effec

The Study of Socio-Political Forecasting as a Factor in Improving the Quality of Training of Future Managers at the University

The paper studies the issues of improving the quality of training of future managers at the university. It is considered how the study of socio-political forecasting will contribute to the formation of their professional competencies. The features of forecasting, which are necessary for studying with students in the teaching of the humanities, are analyzed. The features of forecasts and models of socio-political development of Russia in various historical periods are studied.В работе изучаются вопросы повышения качества подготовки будущих управленцев в вузе. Рассматривается, как изучение вопросов социально-политического прогнозирования будет способствовать формированию их профессиональных компетенций. Анализируются особенности прогнозирования, которые необходимы для изучения со студентами в преподавании гуманитарных дисциплин. Изучаются особенности прогнозов и моделей социально-политического развития России в различные исторические периоды