Sarcoidosis is a multi-system granulomatosis of unknown etiology, defined by the presence of epithelioid and gigantocellular granulomas, without caseous necrosis. Ocular sarcoidosis manifests mainly as bilateral granulomatous anterior uveitis. Occlusion of the central retinal vein in sarcoidosis is a rare manifestation, which is the particularity of our observation. We report the case of a patient presenting with unilateral central retinal vein occlusion associated with granulomatous anterior uveitis on the same side. Systemic manifestations and further investigations led to the diagnosis of sarcoidosis.

Castleman's disease (CD), known as angiofollicular lymph node hyperplasia, is an uncommon condition. The two most common histological subtypes are hyaline vascular and plasma cell. We performed a retrospective analysis to define the clinic-pathological features and survival of CD, which is quite rare focusing on the particularities of our series with a review of the recent literature. This is a retrospective study conducted in the department of internal medicine of Hedi Chaker hospital in Sfax, Tunisia over 25 years. The disease was histologically confirmed in all patients. For each file, we collected a set of data by filling in a pre-designed form. 18 patients were included. There were 8 men and 10 women with a mean age of 42.8 years. CD was monocentric in 5 cases (28%) and multicentric in 13 cases (72%). Clinically, peripheral adenopathy was present in 77.7% of patients and deep adenopathy in 72.2%. Systemic signs were found in 13 patients, including general condition (4.4%), fever (16.6%), serositis (27.7%), and skin involvement (33.3%). A biological inflammatory syndrome accompanied the clinical picture in 66% of patients. Abnormalities in the blood count were found in 12 cases (66%), with anemia in 11 cases, thrombocytosis in 3 cases, and hypereosinophilia in 3 cases. Cutaneous Kaposi's sarcoma was associated with Castleman's disease in 2 cases, Hodgkin's lymphoma, angioimmunoblastic T-cell lymphoma, and lymph node T-cell lymphoma were found in 1 case respectively. 3 of the patients had associated connective tissue diseases such as Sjögren's syndrome in 2 cases and rheumatoid arthritis in 1 case. HHV8 serology was positive in 1 case with a multicentric plasma cell form. Histologically, the plasma cell form represented 50% of cases, hyaline-vascular (39% of cases), and mixed (11% of cases). Therapeutically, high-dose corticosteroid therapy was initiated in 13 cases. As a second-line treatment, MOPP chemotherapy was used in 1 case due to transformation into Hodgkin's lymphoma, and biotherapy (rituximab) was used in 2 cases in the multicentric form. Surgical removal of superficial adenopathy was performed in 2 patients with monocentric CD. : Castleman's disease (CD) is a non-malignant lymphoproliferation of localized or multicentric form with a wide and heterogeneous clinical spectrum. Diagnosis can be difficult due to the lack of clinical and radiological specificity. Management depends on the clinical form involving surgical and/or medical management.

Let $\big(\mathcal{H}, \langle \cdot, \cdot\rangle \big)$ be a complex Hilbert space and $A$ be a positive (semidefinite) bounded linear operator on $\mathcal{H}$. The semi-inner product induced by $A$ is given by ${\langle x, y\rangle}_A := \langle Ax, y\rangle$, $x, y\in\mathcal{H}$ and defines a seminorm ${\|\cdot\|}_A$ on $\mathcal{H}$. This makes $\mathcal{H}$ into a semi-Hilbert space. The $A$-joint numerical radius of two $A$-bounded operators $T$ and $S$ is given by \begin{align*} \omega_{A,\text{e}}(T,S) = \sup_{\|x\|_A= 1}\sqrt{\big|{\langle Tx, x\rangle}_A\big|^2+\big|{\langle Sx, x\rangle}_A\big|^2}. \end{align*} In this paper, we aim to prove several bounds involving $\omega_{A,\text{e}}(T,S)$. This allows us to establish some inequalities for the $A$-numerical radius of $A$-bounded operators. In particular, we extend the well-known inequalities due to Kittaneh [Numerical radius inequalities for Hilbert space operators, Studia Math. 168 (1), 73-80, 2005]. Moreover, several bounds related to the $A$-Davis-Wielandt radius of semi-Hilbert space operators are also provided.

The estimation of parameters for a distribution function is a significant and prominent field within statistical inference. This particular problem holds great relevance in various domains, including industries, stock markets, image processing, and reliability studies. There are two recognized approaches to estimation: point estimation and interval estimation, also known as confidence intervals. In this study, our primary focus lies in the point estimation of parameters associated with an exponential dispersion distribution function. In this process, we consider one of the parameters as a random variable that requires estimation. To tackle this, we adopt a Bayesian inference approach utilizing a one-parameter dispersion distribution. We explore non-informative priors, such as uniform and Jeffrey's priors, and provide evidence of the effectiveness of our method through simulation studies.

Background: Most studies have demonstrated the high accuracy of ultrasound for the diagnosis of acute appendicitis (AA) in children. However, the lack of visualization of the appendix on ultrasound is usually a challenge. The aim of this study was to identify any factors that might help the physician make the right decision when dealing with a child with suspected appendicitis and an appendix not seen on ultrasound. Patients and Methods: After receiving Institutional Review Board approval, we conducted a prospective study in a pediatric emergency department from January 1, 2022, to December 31, 2022. All children under 14 years of age with suspected AA and an appendix not visualized on ultrasound were included. Results: During the study period, 333 children presented with suspected AA. Of these patients, 106 had an appendix not seen on ultrasound. Our patients' median age was 10 years (interquartile range [IQR], 8-11 years), with 54.7% (n = 58) of children being female. Twenty-five (23.6%) were ultimately diagnosed with AA based on pathologic examination. Multivariable logistic regression analysis revealed that Alvarado score ≥6 and increased peri-appendiceal fat echogenicity were predictive for AA. The combination of these two factors provided a positive predictive value of 100%. A white blood cell (WBC) count ≤10 × 109/L and/or a C-reactive protein (CRP) level ≤6 mg/L makes the diagnosis of appendicitis unlikely. Conclusions: In conclusion, our study demonstrated that an Alvarado score at or above six and increased peri-appendiceal fat echogenicity are independent predictive factors of AA in children with non-visualized appendix on ultrasound. The combination of these two factors would confirm the diagnosis of AA in these patients.

This work introduces a solid-shell element with eight nodes for the bending behavior of structures embedded with piezoelectric layers using the FSDT theory. The mechanical degrees of freedom are coupled, through the constitutive equations, with the piezoelectric one considering the linear distribution of the electric potential along the piezoelectric face's thickness. In order to subdue shear and thickness locking, the Assumed Natural Strain (ANS) method as well as the Enhanced Assumed Strain (EAS) method are adopted. Bonding the external faces of shell structures with piezofaces accentuates the smart aspect of solid shells. The middle part of the structure is made of a Functionally Graded Material (FGM) with distributed pores along the thickness. The formulated finite element model is implemented to investigate the effects of some parameters on the bending response of solid shells such as the impact of various configurations of porous FGM, the power law index of FGM and some geometrical parameters of solid shell structures.

Isoxazolidine derivatives were designed, synthesized, and characterized using different spectroscopic techniques and elemental analysis and then evaluated for their ability to inhibit both α-amylase and α-glucosidase enzymes to treat diabetes. All synthesized derivatives demonstrated a varying range of activity, with IC50 values ranging from 53.03 ± 0.106 to 232.8 ± 0.517 μM (α-amylase) and from 94.33 ± 0.282 to 258.7 ± 0.521 μM (α-glucosidase), revealing their high potency compared to the reference drug, acarbose (IC50 = 296.6 ± 0.825 µM and 780.4 ± 0.346 µM), respectively. Specifically, in vitro results revealed that compound 5d achieved the most inhibitory activity with IC50 values of 5.59-fold and 8.27-fold, respectively, toward both enzymes, followed by 5b. Kinetic studies revealed that compound 5d inhibits both enzymes in a competitive mode. Based on the structure-activity relationship (SAR) study, it was concluded that various substitution patterns of the substituent(s) influenced the inhibitory activities of both enzymes. The server pkCSM was used to predict the pharmacokinetics and drug-likeness properties for 5d, which afforded good oral bioavailability. Additionally, compound 5d was subjected to molecular docking to gain insights into its binding mode interactions with the target enzymes. Moreover, via molecular dynamics (MD) simulation analysis, it maintained stability throughout 100 ns. This suggests that 5d possesses the potential to simultaneously target both enzymes effectively, making it advantageous for the development of antidiabetic medications.

ABSTRACT The crypto assets market is growing rapidly, exposing investors to new risks. As a result, finding viable candidates to hedge and diversify crypto portfolios is a critical and timely topic. In this paper, we explore the potential of gold-backed cryptocurrencies as safe haven assets in the context of building a diversified digital assets portfolio. Empirically, we investigate the financial properties (diversification, safe haven, and hedging capabilities) of two gold-backed cryptocurrencies against the three main digital assets categories, i.e. traditional cryptocurrencies, Non-Fungible Tokens (NFTs), and Decentralized Finance (DeFi) tokens, considering major external and internal crises. We also estimate the hedge ratios and the hedging effectiveness of the considered pairs. Overall, our findings indicate that the examined gold-backed cryptocurrencies are good diversifiers, with varying hedging, and safe haven properties depending on the nature of the crises, such as the COVID-19 pandemic and the Russia–Ukraine War, as well as the digital asset category considered. Several financial implications for investors and policymakers are proposed and discussed.

This paper presents a comprehensive investigation of the synthesis and characterization of Zn1-xCoxO (0 ≤ x ≤ 0.05) nanopowders using a chemical co-precipitation approach. The structural, morphological, and vibrational properties of the resulting ZnO nanostructures were assessed through X-ray diffraction, scanning electronic microscopy, and Raman spectroscopy to examine the influence of cobalt doping. Remarkably, a notable congruence between the experimental results and the density functional theory (DFT) calculations for the Co-doped ZnO system was achieved. Structural analysis revealed well-crystallized hexagonal wurtzite structures across all samples. The SEM images demonstrated the formation of spherical nanoparticles in all the samples. The vibrational properties confirmed the formation of a hexagonal wurtzite structure, with an additional Raman peak corresponding to the F2g vibrational mode characteristic of the secondary phase of ZnCo2O4 observed at a 5% cobalt doping concentration. Furthermore, a theoretical examination of cobalt doping's impact on the elastic properties of ZnO demonstrated enhanced mechanical behavior, which improves stability, recyclability, and photocatalytic activity. The photocatalytic study of the synthesized compositions for methylene blue (MB) dye degradation over 100 min of UV light irradiation demonstrated that Co doping significantly improves photocatalytic degradation. The material's prolonged lifetime, reduced rate of photogenerated charge carrier recombination, and increased surface area were identified as pivotal factors accelerating the degradation process. Notably, the photocatalyst with a Zn0.99Co0.01O composition exhibited exceptional efficiency compared to that reported in the literature. It demonstrated high removal activity, achieving an efficiency of about 97% in a shorter degradation time. This study underscores the structural and photocatalytic advancements in the ZnO system, particularly at lower cobalt doping concentrations (1%). The developed photocatalyst exhibits promise for environmental applications owing to its superior photocatalytic performance.