A new type of bubble solutions for a critical fractional Schr\"{o}dinger equation

We consider the following critical fractional Schr\"{o}dinger equation \begin{equation*} (-\Delta)^s u+V(|y'|,y'')u=u^{2_s^*-1},\quad u>0,\quad y =(y',y'') \in \mathbb{R}^3\times\mathbb{R}^{N-3}, \end{equation*} where $N\geq 3,s\in(0,1)$, $2_s^*=\frac{2N}{N-2s}$ is the fractional critical Sobolev exponent and $V(|y'|,y'')$ is a bounded non-negative function in $\mathbb{R}^3\times\mathbb{R}^{N-3}$. If $r^{2s}V(r,y'')$ has a stable critical point $(r_0,y_0'')$ with $r_0>0$ and $V(r_0,y_0'')>0$, by using a modified finite-dimensional reduction method and various local Pohozaev identities, we prove that the problem above has a new type of infinitely many solutions which concentrate at points lying on the top and the bottom of a cylinder. And the concentration points of the bubble solutions include saddle points of the function $r^{2s}V(r,y'')$. We choose cleverly one of the reduced parameters $\bar{h}$ which depends on the scaling parameter $\lambda$ and avoid to compute the first partial derivative of the reduced functional with respect to $\bar{h}$ directly. Also we have to overcome some difficulties caused by the fractional Laplacian.Comment: 47 page

Construction of a 3-year risk prediction model for developing diabetes in patients with pre-diabetes

IntroductionTo analyze the influencing factors for progression from newly diagnosed prediabetes (PreDM) to diabetes within 3 years and establish a prediction model to assess the 3-year risk of developing diabetes in patients with PreDM.MethodsSubjects who were diagnosed with new-onset PreDM at the Physical Examination Center of the First Affiliated Hospital of Soochow University from October 1, 2015 to May 31, 2023 and completed the 3-year follow-up were selected as the study population. Data on gender, age, body mass index (BMI), waist circumference, etc. were collected. After 3 years of follow-up, subjects were divided into a diabetes group and a non-diabetes group. Baseline data between the two groups were compared. A prediction model based on logistic regression was established with nomogram drawn. The calibration was also depicted.ResultsComparison between diabetes group and non-diabetes group: Differences in 24 indicators including gender, age, history of hypertension, fatty liver, BMI, waist circumference, systolic blood pressure, diastolic blood pressure, fasting blood glucose, HbA1c, etc. were statistically significant between the two groups (P<0.05). Differences in smoking, creatinine and platelet count were not statistically significant between the two groups (P>0.05). Logistic regression analysis showed that ageing, elevated BMI, male gender, high fasting blood glucose, increased LDL-C, fatty liver, liver dysfunction were risk factors for progression from PreDM to diabetes within 3 years (P<0.05), while HDL-C was a protective factor (P<0.05). The derived formula was: In(p/1-p)=0.181×age (40-54 years old)/0.973×age (55-74 years old)/1.868×age (≥75 years old)-0.192×gender (male)+0.151×blood glucose-0.538×BMI (24-28)-0.538×BMI (≥28)-0.109×HDL-C+0.021×LDL-C+0.365×fatty liver (yes)+0.444×liver dysfunction (yes)-10.038. The AUC of the model for predicting progression from PreDM to diabetes within 3 years was 0.787, indicating good predictive ability of the model.ConclusionsThe risk prediction model for developing diabetes within 3 years in patients with PreDM constructed based on 8 influencing factors including age, BMI, gender, fasting blood glucose, LDL-C, HDL-C, fatty liver and liver dysfunction showed good discrimination and calibration

A Two-dimensional analysis of surface acoustic waves in finite plates with eigensolutions

It is generally known that surface acoustic waves, or Rayleigh waves, have different mode shapes in infinite plates. To be precise, there are both exponentially decaying and growing components in plates appearing in pairs, representing symmetric and anti-symmetric modes in a plate. As the plate thickness increases, the combined modes will approach to the Rayleigh mode in a semi-infinite solid, exhibiting surface acoustic wave deformation and velocity. As a result, for plates with finite thickness, we need to consider the effect of two modes in the analysis. ... In this study, the two-dimensional theory for surface acoustic waves in finite plates is extended to include exponentially growing modes in the expansion function, creating a twodimensional equation system for plates with finite thickness. Since additional expansion functions are also exponential, the two-dimensional equations keep the same appearance, implying the same evaluation and solution procedure. These results are important in the improvement of two-dimensional analysis of surface acoustic waves in finite solids, which are the essential problem in surface acoustic wave resonator analysis and design

Maternal BPAF exposure impaired synaptic development and caused behavior abnormality in offspring

Bisphenol A (BPA) has been widely restricted, leading to a significant increase in the production of bisphenol AF (BPAF), one of the most common bisphenol analogs use as a substitute for BPA. However, there is limit evidence on the neurotoxicity of BPAF, especially the potential effects of maternal exposed to BPAF on offspring. A maternal BPAF exposure model was used to evaluate its effects on long-term neurobehaviors in offspring. We found that maternal BPAF exposure resulted in immune disorders, characterized by abnormal CD4+T cell subsets, and their offspring exhibited anxiety- and depression-like behaviors, as well as impairments in learning-memory, sociability and social novelty. Further, brain bulk RNA-sequencing (RNA-seq) and hippocampus single-nucleus RNA-sequencing (snRNA-seq) of offspring showed that differentially expressed genes (DEGs) were enriched in pathways related to synaptic and neurodevelopment. Synaptic ultra-structure of offspring was damaged after maternal BPAF exposure. In conclusion, maternal BPAF exposure induced behavior abnormality in adult offspring, together with synaptic and neurodevelopment defects, which might be related to maternal immune dysfunction. Our results provide a comprehensive insight into the neurotoxicity mechanism of maternal BPAF exposure during gestation. Given the increasing and ubiquitous exposure to BPAF, especially during sensitive periods of growth and development, the safety of BPAF requires urgent attention

Green Tea Polyphenols, Mimicking the Effects of Dietary Restriction, Ameliorate High-Fat Diet-Induced Kidney Injury via Regulating Autophagy Flux

Epidemiological and experimental studies reveal that Western dietary patterns contribute to chronic kidney disease, whereas dietary restriction (DR) or dietary polyphenols such as green tea polyphenols (GTPs) can ameliorate the progression of kidney injury. This study aimed to investigate the renal protective effects of GTPs and explore the underlying mechanisms. Sixty Wistar rats were randomly divided into 6 groups: standard diet (STD), DR, high-fat diet (HFD), and three diets plus 200 mg/kg(bw)/day GTPs, respectively. After 18 weeks, HFD group exhibited renal injuries by increased serum cystatin C levels and urinary N-acetyl-β-d-glucosaminidase activity, which can be ameliorated by GTPs. Meanwhile, autophagy impairment as denoted by autophagy-lysosome related proteins, including LC3-II, Beclin-1, p62, cathepsin B, cathepsin D and LAMP-1, was observed in HFD group, whereas DR or GTPs promoted renal autophagy activities and GTPs ameliorated HFD-induced autophagy impairment. In vitro, autophagy flux suppression was detected in palmitic acid (PA)-treated human proximal tubular epithelial cells (HK-2), which was ameliorated by epigallocatechin-3-gallate (EGCG). Furthermore, GTPs (or EGCG) elevated phosphorylation of AMP-activated protein kinase in the kidneys of HFD-treated rats and in PA-treated HK-2 cells. These findings revealed that GTPs mimic the effects of DR to induce autophagy and exert a renal protective effect by alleviating HFD-induced autophagy suppression

Synthesis of Functionalized Fluorescent Indenes from Electron-Rich α-Aryl Ketonitriles

A series of functionalized indenes bearing 1,3-dicyano groups were synthesized from electron-rich α-aryl ketonitriles in the presence of K₃Fe­(CN)₆ and NaOAc, possibly through tandem process involving dimerization, heterolytic cleavage of carbon–carbon bond, intermolecular coupling, and the subsequent intramolecular cyclization. The 2-arylindene compounds obtained possess good fluorescent properties

Integrated analysis of DNA methylome and transcriptome identified CREB5 as a novel risk gene contributing to recurrent pregnancy lossResearch in context

Background: Aberrant DNA methylation is considered to be a potential cause of recurrent pregnancy loss (RPL), while potential mechanism has not yet been elucidated. Methods: In order to uncover the contribution of the perturbation of DNA methylation in RPL, we performed genome-wide DNA methylation analysis combined with genome-wide gene expression in decidua tissue. Findings: Totally, 539 differentially methylated regions (DMRs) were identified and significantly correlated with gene expressions. We observed that hypo-methylated DMR near CREB5 recruited transcription factors binding, such as P53 and SP1, and in turn upregulated CREB5. Compromised cell migration and apoptosis were observed in human CREB5 overexpression trophoblast cell lines, indicating dysfunctional trophoblast cells might contribute to RPL after hypo-methylation of CREB5. In addition, overexpression of CREB5 altered cell cycle. Interpretation: Our data highlights a role of CREB5 involved in the pathogenesis of RPL, and CREB5 maybe a potential diagnostic biomarker for RPL. Keywords: Recurrent pregnancy loss, DNA methylation, Gene expression, CREB