Analysis of Mixed Outcomes: Misclassified Binary Responses and Measurement Error in Covariates

The focus of this paper is on regression models for mixed binary and continuous outcomes, when the true predictor is measured with error and the binary responses are subject to classification errors. Latent variable is used to model the binary response. The joint distribution is expressed as a product of the marginal distribution of the continuous response and the conditional distribution of the binary response given the continuous response. Models are proposed to incorporate the measurement error and/or classification errors. Likelihood based analysis is performed to estimate the regression parameters of interest. Theoretical studies are made to find the bias of the likelihood estimates of the model parameters. An extensive simulation study is carried out to investigate the effect of ignoring classification errors and/or measurement error on the estimates of the model parameters. The methodology is illustrated with a data set obtained by conducting a small scale survey.

Interplay among gravitational waves, dark matter and collider signals in the singlet scalar extended type-II seesaw model

We study the prospect of simultaneous explanation of tiny neutrino masses, dark matter (DM), and the observed baryon asymmetry of the Universe in a $Z_3$-symmetric complex singlet scalar extended type-II seesaw model. The complex singlet scalar plays the role of DM. Analyzing the thermal history of the model, we identify the region of the parameter space that can generate a first-order electroweak phase transition (FOEWPT) in the early Universe, and the resulting stochastic gravitational waves (GW) can be detected at future space/ground-based GW experiments. First, we find that light triplet scalars do favor an FOEWPT. In our study, we choose the type-II seesaw part of the parameter space in such a way that light triplet scalars, especially the doubly charged ones, evade the strong bounds from their canonical searches at the Large Hadron Collider (LHC). However, the relevant part of the parameter space, where FOEWPT can happen only due to strong SM doublet-triplet interactions, is in tension with the SM-like Higgs decay to a pair of photons, which has already excluded the bulk of this parameter space. On the other hand, the latest spin-independent DM direct detection constraints from XENON-1T and PANDA-4T eliminate a significant amount of parameter space relevant for the dark sector assisted FOEWPT scenarios, and it is only possible when the complex scalar DM is significantly underabundant. In short, we conclude from our analysis that the absence of new physics at the HL-LHC and/or various DM experiments in the near future will severely limit the prospects of detecting a stochastic GW at future GW experiments and will exclude the possibility of electroweak baryogenesis within this model.Comment: 62 pages, 18 figures, 8 tables. Matches version accepted for publication in JHE

Formulation Development and Evaluation of Diacerein Loaded Microsphere by Spray Coating (Wurster Method)

Diacerein loaded microspheres were prepared by spray coating(wurster method) using hydroxyl propyl methyl cellulose (HPMC) and ethyl cellulose as release retarding polymer with a view to manufacture sustained release drug delivery. Drug content in the microspheres was determined by HPLC assay followed by drug entrapment efficiency.  Shape and Surface topography of Diacerein loaded microspheres was determined by scanning electron microscopy. Fourier transform infrared spectroscopy (.FT-IR), X-ray diffraction Spectroscopy (XRD), and Differential scanning calorimetry (DSC) studies were done to establish drug polymer and other excipients compatibility and stability. Sustained release action was established by In-vitro release study. The result shows that Diacerein loaded microsphere using hydroxyl propyl methyl cellulose and ethyl cellulose polymer can be a new addition in the field of pain management for the treatment of osteoarthritis.   Keywords: Microsphere, Diacerein, HPMC, Ethyl cellulose, Spray coating

Local Inaccessibility of Random Classical Information : Conditional Nonlocality demands Entanglement

Discrimination of quantum states under local operations and classical communication (LOCC) is an intriguing question in the context of local retrieval of classical information, encoded in the multipartite quantum systems. All the local quantum state discrimination premises, considered so far, mimic a basic communication set-up, where the spatially separated decoding devices are independent of any additional input. Here, exploring a generalized communication scenario we introduce a framework for input-dependent local quantum state discrimination, which we call local random authentication (LRA). Referring to the term nonlocality, often used to indicate the impossibility of local state discrimination, we coin the term conditional nonlocality for the impossibility associated with the task LRA. We report that conditional nonlocality necessitates the presence of entangled states in the ensemble, a feature absent from erstwhile nonlocality arguments based on local state discrimination. Conversely, all the states in a complete basis set being entangled implies conditional nonlocality. However, the impossibility of LRA also exhibits more conditional nonlocality with less entanglement. The relation between the possibility of LRA and local state discrimination for sets of multipartite quantum states, both in the perfect and conclusive cases, has also been established. The results highlight a completely new aspect of the interplay between the security of information in a network and quantum entanglement under the LOCC paradigm.Comment: An appropriate example for Proposition 2 is added and the details of which is supplemented in the Appendi

A novel spectrophotometric method development and validation of Tenagliptin in its Tablet dosages form

The aim of present work was to develop a new, economical & simple analytical method of Teneligliptin & its validation as per International Conference on Harmonization (ICH) guideline, which is a new antidiabetic drug that is used to treat Non-Insulin Dependent Diabetis Melitus (NIDDM) patients. A sensitive and specific Ultra Violet (UV) Visible method was developed & the analysis was carried out by using Shimazdu 1800 Spectrophotometer, 0.1(N) NaOH was used as a solvent. The UV- Visible Spectrophotometric estimation was carried out at a λ max of 242 nm using 1cm thick quartz cell. Validation of the newly developed method was performed as per International Conference on Harmonization (ICH) Q2R1 guideline in the following parameters: Calibration curve, Accuracy, Precision etc.  Newly developed method obeys Beer’s-Lambert’s law in the concentration range of 5 - 25 μg / ml, whereas correlation coefficient value is less than 1. The percent amount of drug estimated by this developed method was 100.91 %, which is very close to 100 %. The validation parameters like Accuracy, Precision, Linearity, Range, Limit of detection (LOD) & Limit of Quantification (LOQ) were studied for the developed method and was found to be within the limits. Keywords: Teneligliptin, Validation, Method, Spectroscopy etc

Inflammatory Bowel Disease and Diabetes: An Association in Horizon

As we know inflammatory bowel disease is an emergent plight in rural and developing countries. In USA 10 million of peoples are suffering from IBD.IBD encompasses two pivotal kinds of pathological condition Ulcerative colitis (UC) and Crohn’s disease (CD). Epidemiologically has a greater prevalence in the global prospective. So we decided to zero in on IBD in our work ahead. So a thorough search of available literature IBD is associated with plethora of comorbid disorders which includes gastrointestinal disorders arising from cholelithiasis, cutaneous disease like psoriasis, metabolic disorders like diabetes mellitus. Keywords:  IBD: inflammatory bowel disease, CD: Crohn’s disease, UC: Ulcerative colitis