Double bounded Kumaraswamy-power series class of distributions

In this paper, we will introduce the new Kumaraswamy-power series class of distributions. This new class is obtained by compounding the Kumaraswamy distribution of Kumaraswamy (1980) and the family of power series distributions. The new class contains some new double bounded distributions such as the Kumaraswamy-geometric, -Poisson, -logarithmic and -binomial, which are used widely in hydrology and related areas. In addition, the corresponding hazard rate function of the new class can be increasing, decreasing, bathtub and upside-down bathtub. Some basic properties of this class of distributions such as the moment generating function, moments and order statistics are studied. Some special members of the class are also investigated in detail. The maximum likelihood method is used for estimating the unknown parameters of the members of the new class. Finally, an application of the proposed class is illustrated using a real data set

The exponentiated discrete Weibull Distribution

In this paper, the exponentiated discrete Weibull distribution is introduced. This new generalization of the discrete Weibull distribution can also be considered as a discrete analogue of the exponentiated Weibull distribution. A special case of this exponentiated discrete Weibull distribution defines a new generalization of the discrete Rayleigh distribution for the first time in the literature. In addition, discrete generalized exponential and geometric distributions are some special sub-models of the new distribution. Here, some basic distributional properties, moments, and order statistics of this new discrete distribution are studied. We will see that the hazard rate function can be in- creasing, decreasing, bathtub, and upside-down bathtub shaped. Estimation of the parameters is illustrated using the maximum likelihood method. The model with a real data set is also examine

Chance Constrained Stochastic Optimal Control for Linear Systems with Time Varying Random Plant Parameters

We propose an open loop control scheme for linear systems with time-varying random elements in the plant's state matrix. This paper focuses on joint chance constraints for potentially time-varying target sets. Under assumption of finite and known expectation and variance, we use the one-sided Vysochanskij-Petunin inequality to reformulate joint chance constraints into a tractable form. We demonstrate our methodology on a two-bus power system with stochastic load and wind power generation. We compare our method with situation approach. We show that the proposed method had superior solve times and favorable optimally considerations.Comment: Final submission for ACC 202

Cloning and prokaryotic expression of the globular head domain of hemagglutinin antigen (HA1) of influenza A (H3N2) virus in Escherichia coli and Bacillus subtilis

Background: The influenza virus hemagglutinin is the major surface protein of the influenza A virus which is composed of HA1 and HA2 subunits. HA1 has an important role in binding of virus to cells and designing neutralizing antibodies. Escherichia coli (E. coli) and Bacillus subtilis (B. subtilis) both are known as the most useful prokaryotic hosts to express recombinant proteins. The aim of this study was to clone and express recombinant HA1protein in E. coli and B. subtilis bacteria.Materials and Methods: HA1 gene was cloned into pET-28a vector and pHT43 shuttle vector and then, both transformed to E. coli. The recombinant plasmids were extracted and then transformed into the BL21 and WB600 as expressing hosts. After induction with isopropyl-β-d-thiogalactoside (IPTG), expressed recombinant protein was analyzed by SDS-PAGE. Finally, the expressed protein was confirmed by the Western blot.Results: HA1 gene was cloned into pET-28a vector and pHT43 shuttle vector and then, both transformed to E. coli.The recombinant plasmids were extracted and then transformed into the BL21 and WB600 as expressing hosts. After induction with isopropyl-β-d-thiogalactoside (IPTG), expressed recombinant protein was analyzed by SDS-PAGE. Finally, the expressed protein was confirmed by the Western blot.Conclusion: This study demonstrated a strategy for production and purification of recombinant protein in large scale to test as vaccine candidate against influenza and it’s potentially immunogenicity be assessed in animal models

Graphene oxide and its derivatives as promising In-vitro bio-imaging platforms

Intrinsic fluorescence and versatile optical properties of Graphene Oxide (GO) in visible and near-infrared range introduce this nanomaterial as a promising candidate for numerous clinical applications for early-diagnose of diseases. Despite recent progresses in the impact of major features of GO on the photoluminescence properties of GO, their modifications have not yet systematically understood. Here, to study the modification effects on the fluorescence behavior, poly ethylene glycol (PEG) polymer, metal nanoparticles (Au and Fe3O4) and folic acid (FA) molecules were used to functionalize the GO surface. The fluorescence performances in different environments (water, DMEM cell media and phosphate buffer with two different pH values) were assessed through fluorescence spectroscopy and fluorescent microscopy, while Fourier-transform infrared spectroscopy (FTIR) and X-ray diffraction (XRD) and Scanning electron microscopy (SEM) were utilized to evaluate the modifications of chemical structures. The modification of GO with desired molecules improved the photoluminescence property. The synthesized platforms of GO-PEG, GO-PEG-Au, GO-PEG-Fe3O4 and GO-PEG-FA illustrated emissions in three main fluorescence regions (blue, green and red), suitable for tracing and bio-imaging purposes. Considering MTT results, these platforms potentially positioned themselves as non-invasive optical sensors for the diagnosis alternatives of traditional imaging agents. A correction for this article can be viewed at https://doi.org/10.1038/s41598-020-75090-