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Electrochemical impedance spectroscopy (EIS) is a commonly used technique for studying internal dynamics of the proton exchange membrane (PEM) fuel cell. However, due to its linear frequency response nature and reliance on the linear target hypothesis, EIS has limitations in analyzing the nonlinear behavior of the PEM fuel cell, which is the inherently nonlinear system. To overcome this issue, this paper employs an unconventional frequency analysis technique that utilizes the high-order frequency response function (FRF) and total harmonic distortion (THD) in a broad frequency range, to conduct the nonlinear frequency response analysis (NFRA) of the PEM fuel cell. In addition to the traditional electrochemical impedance based on the first-order harmonic response, the high-order harmonic response is also included. Based on this, the appropriate excitation amplitude is determined through a comprehensive examination of the impact of varying excitation amplitudes on the impedance, second-order FRF, and THD. Then, the impacts of operating conditions, such as reactant stoichiometry, humidity, temperature, and pressure, on the FRF and THD were investigated incorporating the dynamics losses computed using EIS and equivalent circuit model. Furthermore, the nonlinear frequency response is investigated under various fault conditions, such as flooding, membrane drying, and air starvation. The results demonstrate the heightened sensitivity of the NFRA method towards detecting changes in internal processes of the PEM fuel cell, which offers a multidimensional frequency-domain perspective, facilitating the study of the advanced diagnosis, system control, material optimization, and even other electrochemical energy sources. • FRF and THD spectrum are used for nonlinear frequency response analysis of fuel cell. • Effect of various operating conditions on nonlinear frequency response is analyzed. • FRF and THD spectrum provide new perspicacity for fault feature extraction. [ABSTRACT FROM AUTHOR]

This work studies a haptotactic cross-diffusion system modeling oncolytic virotherapy in two-dimensional domains, accounting for interaction among uninfected and infected cancer cells, extracellular matrix and oncolytic viruses. It is rigorously proved that an associated no-flux initial-boundary value problem has a unique global classical solution which is uniformly bounded under suitable assumptions. Moreover, it is shown that a bounded solution can approach spatially constant equilibrium in the large time limit. [ABSTRACT FROM AUTHOR]

Abstract This work is concerned with a quasilinear parabolic–parabolic chemotaxis model with nonlinear signal production: u t = ∇ ⋅ ((1 + u) − α ∇ u) − ∇ ⋅ (u (1 + u) β − 1 ∇ v) + f (u) , v t = Δ v − v + u γ , with nonnegative initial data under homogeneous Neumann boundary conditions in a smooth bounded domain, where α , β ∈ R and γ > 0. The logistic type source term f (u) satisfies that either f (u) ≡ 0 or f (u) = r u − μ u k with r ∈ R , μ > 0 and k > 1. The global-in-time existence and uniform-in-time boundedness of solutions are established under specific parameters conditions, which improves the known results. [ABSTRACT FROM AUTHOR]

Misconfigurations have become one of the major causes of software failures because of their increasing prevalence and severity. The complexity of configurations and users’ lack of domain knowledge are the main reasons for massive misconfigurations. Users usually identify and diagnose misconfigurations by making a comparison against the conditions that configuration options should satisfy, which we refer to as configuration constraints; however, sometimes it is hard for users to accomplish this work. Some work has been done on obtaining configuration constraints, especially from source code; nevertheless, only part of the situation has been considered, such as if-statement code snippets, limiting its help in misconfiguration diagnosis. In order to better extract configuration constraints for users’ guidance and misconfiguration diagnosis, we carried out a comprehensive manual study on the existence and variance of the configuration constraints in the source code of five different pieces of widely used open-source software. Three categories of findings are summarized based on our study, namely the general statistics, the general features of specific kinds of constraints, and the obstacles to the automatic extraction of configuration constraints. With these findings, we proposed several suggestions to maximize the automatic extraction of configuration constraints. The results show that our suggestions could improve the extraction of configuration constraints compared to existing methods. [ABSTRACT FROM AUTHOR]

In this paper we obtain the following local Calderón–Zygmund estimates B ( | f | ) ∈ L l o c q ( Ω ) ⇒ B ( | ∇ u | ) ∈ L l o c q ( Ω ) for any q ≥ 1 of weak solutions for a class of quasilinear elliptic equations div ( a ( | ∇ u | ) ∇ u ) = div ( a ( | f | ) f ) in Ω , where B ( t ) = ∫ 0 t τ a ( τ ) d τ for t ≥ 0 . [ABSTRACT FROM AUTHOR]

Highly sensitive determination of proteins is essential to biomedical research and clinical diagnosis. Here a new fluorescence strategy for protein assays is reported that utilizes the exponential amplification reaction and silver nanocluster label-free architecture. Superior sensitivity was obtained for adenosine deaminase with a detection limit of 0.8 milliunit per liter. This method was employed for the determination of adenosine deaminase in human serum. The method displayed high selectivity for adenosine deaminase compared to other proteins, thus providing a promising alternative to standard approaches for the determination of proteins. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we consider the global gradient estimates for weak solutions of the parabolic -Laplacian type equation in a -Reifenberg flat domain. [Copyright &y& Elsevier]

Abstract: In this paper we obtain a new global gradient estimates in weighted Lorentz spaces for weak solutions of -Laplacian type equation with small BMO coefficients in a δ-Reifenberg flat domain. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. Our results improve the known results for such equations. [Copyright &y& Elsevier]

Abstract: Under some assumptions on the continuous function , we obtain the local regularity of solutions of the strong -Laplacian by using the integral estimates in Campanato spaces. [Copyright &y& Elsevier]

Abstract: In this paper we prove the existence and uniqueness of both renormalized solutions and entropy solutions for nonlinear parabolic equations with variable exponents and data. And moreover, we obtain the equivalence of renormalized solutions and entropy solutions. [Copyright &y& Elsevier]

Abstract: In this paper we develop a unifying method to prove the existence and uniqueness of weak solutions for the initial–boundary value problem of a non-uniformly parabolic equation. Some well-known parabolic equations are the special cases of this equation. [Copyright &y& Elsevier]

Abstract: In this paper we generalize gradient estimates in spaces to Orlicz spaces for weak solutions of second-order divergence elliptic equations with small BMO coefficients in Lipschitz domains. Our results improve the known results for such equations using the harmonic analysis method. [Copyright &y& Elsevier]

Abstract: In this paper we establish a stability result and an error estimate of weak solutions for the initial-boundary value problem of a generalized thin film equation and also obtain some higher regularity results for weak solutions. [Copyright &y& Elsevier]

Abstract: In this paper we establish the existence and uniqueness of weak solutions for the initial-boundary value problem of a fourth-order nonlinear parabolic equation. [Copyright &y& Elsevier]

Abstract: In this paper we establish the existence and uniqueness of weak solutions for the initial-boundary value problem of a generalized thin film equation. In addition, we present some interesting results on the regularity of weak solutions. [Copyright &y& Elsevier]

A moving chemical reaction boundary (MCRB) is formed by the weak alkali NH[sub 3]·H[sub 2]O and strong acid HCl with an excess of potassium chloride as background electrolyte. The experimental results are compared with the predictions in accordance with the moving chemical reaction boundary equation (MCRBE). If the MCRB is cathodic, the experimental results are in agreement with the predictions by the MCRBE. However, if the MCRB is anodic, the experimental results significantly deviate from the predictions of the MCRBE. A corrected MCRB equation is proposed for such conditions. The findings are evidently different from those in our early reports (J. Chromatogr. A, 891 (2000): 337-347; 907 (2001): 347-352; 922 (2001) 283-393). This study is of obvious benefit to capillary electrophoresis and isoelectric focusing. [ABSTRACT FROM AUTHOR]

Background: Endometrial cancer (EC) is one of the female malignant tumors. Endometrial cancer predominately affects post-menopausal women. Bioinformatics analysis has been widely applied to screen and analyze genes in linkage to various types of cancer progression. Methods: Download the gene expression profile from Gene Expression Omnibus (GEO). Calculate raw expression data according to pre-processing procedures. We performed the "limma" R language package to screen DEGs between Endometrial cancer tissue samples and normal uterus tissue samples. Enrichment of the functions and pathways was analyzed by using clusterprofiler. We utilized Search Tool for the Retrieval of Interacting Genes Database (STRING) to assess protein–protein interaction (PPI) information, and then we used plug-in Molecular Complex Detection (MCODE) to screen hub modules of PPI network in Cytoscape. We also performed functional analysis on the genes in the hub module by using clusterprofiler. Next, we utilized the "WGCNA" package in R to establish co-expression network for the DEGs. The Venn diagram was performed to overlap the gene in key module and hub PPI cluster. We validated the key genes in TCGA, GEPIA, UALCAN and Immunohistochemistry staining obtained from The Human Protein Atlas database. And then we did ROC curve analysis by SPSS. Gene set enrichment analysis (GSEA) and mutation analysis were also performed for hub genes. Results: Functional and pathway enrichment analysis demonstrated that the upregulated differentially expressed genes (DEGs) were significantly enriched in CXCR chemokine receptor binding, chemokine activity, chemokine receptor binding, G-protein coupled receptor binding, RAGE receptor binding, cytokine activity, microtubule binding, receptor regulator activity and microtubule motor activity, and the down-regulated genes were highly enriched in collagen binding. After using STRING software to construct PPI network, 30 prominent proteins were identified and the first two significant modules were selected. In co-expression network, 5 EC-related modules were identified. Among them, the turquoise module has the highest correlation with the EC. We further analyzed the genes in the PPI and turquoise module, and selected eleven key genes related to EC after validation of TCGA database, GEPIA, UALCAN and immunohistochemistry. Six of them had mutation significance. Conclusions: In summary, these 11 genes may become new therapy targets for EC treatment. [ABSTRACT FROM AUTHOR]

In this paper, we study the boundedness and Hölder continuity of local weak solutions to the following nonhomogeneous equation ∂ t u (x , t) + P. V. ∫ R N K (x , y , t) | u (x , t) - u (y , t) | p - 2 (u (x , t) - u (y , t)) d y = f (x , t , u) in Q T = Ω × (0 , T) , where the symmetric kernel K(x, y, t) has a generalized form of the fractional p-Laplace operator of s-order. We impose some structural conditions on the function f and use the De Giorgi-Nash-Moser iteration to establish the boundedness of local weak solutions in the a priori way. Based on the boundedness result, we also obtain Hölder continuity of bounded solutions in the superquadratic case. These results can be regarded as a counterpart to the elliptic case due to Di Castro et al. (Ann Inst H Poincaré Anal Non Linéaire, 2016). [ABSTRACT FROM AUTHOR]

Intrauterine growth restriction (IUGR) is, in general, accompanied by a reduction of the nephron number, which increases the risk of hypertension and renal dysfunction. Studies have revealed that ouabain can partially restore the number of nephrons during IUGR. However, there is limited information regarding the melioration of nephric structure and function. We used maternal malnutrition to induce an IUGR model in rats. Subsequently, we used a mini-pump to administer ouabain to IUGR rats during pregnancy. Male offspring were divided randomly into two groups. One group was fed a normal diet, whereas the other was fed an isocaloric 8% high-salt diet. Maternal malnutrition led to a reduction in the birth weight and number of nephrons in offspring. At the end of a 40-week follow-up period, offspring from the IUGR group had high blood pressure and abnormal excretion of urinary protein; these parameters were exacerbated in offspring fed a high-salt diet. However, ouabain administration during pregnancy could partially restore the number of nephrons in IUGR offspring, normalize blood pressure, and reduce urinary protein excretion, even when challenged with a high-salt diet. Pathology findings revealed that IUGR, particularly following feeding of a high-salt diet, damaged the ultrastructure of glomeruli, but these harmful effects were ameliorated in offspring treated with ouabain. Collectively, our data suggest that ouabain could rescue nephrogenesis in IUGR newborns and protect (at least in part) the structure and function of the kidney during adulthood even when encountering unfavorable environmental challenges in subsequent life. [ABSTRACT FROM AUTHOR]

In this paper, we establish global boundedness and Hölder regularity of the weak solution to the following parabolic p(x,t)‐Laplace equation: ut−diva(x,t,u,∇u)=b(x,t,u,∇u)inQT,u(x,t)=0on∂Ω×(0,T),u(x,0)=u0inΩ,under some proper assumptions on a and b. The Hölder continuity given in the present work extends known results to the equation with a general nondivergence term. [ABSTRACT FROM AUTHOR]

In this paper we study the asymptotic behaviors of global solutions to the fully parabolic chemotaxis system: u t = ∇ ⋅ (D (u) ∇ u − S (u) ∇ v) + r u − μ u 1 + σ , v t = Δ v − v + u γ , subject to the homogeneous Neumann boundary conditions in a bounded and smooth domain Ω ⊂ R n (n ≥ 2), where parameters μ , σ , γ > 0 , r ∈ R , and the nonlinearity D , S ∈ C 2 ([ 0 , ∞)) are supposed to generalize the prototypes D (u) ≥ a 0 (u + 1) − α , 0 ≤ S (u) ≤ b 0 u (u + 1) β − 1 with a 0 , b 0 > 0 and α , β ∈ R. We first consider the case of r > 0 and provide a boundedness result under α + β + γ < 2 n , or β + γ < 1 + σ , or β + γ = 1 + σ with large μ > 0. The main result is concerned with the asymptotic stability when damping effects of logistic source are strong enough. Specifically, there is μ 0 > 0 independent of initial data, such that the bounded classical solution (u , v) satisfies (u , v) → ((r μ) 1 σ , (r μ) γ σ ) in L ∞ (Ω) exponentially under conditions of μ > μ 0 and r > 0. For the case of r < 0 , the trivial constant equilibria in the model is obtained in a priori way, that is, any bounded solution (u , v) satisfies (u , v) → (0 , 0) in L ∞ (Ω) exponentially, regardless of the size of μ > 0. [ABSTRACT FROM AUTHOR]

In this paper we study the global existence of solutions to the fully parabolic chemotaxis system: u t = Δ u − χ ∇ ⋅ (u v ∇ v) + f (u) , v t = Δ v − v + u in a smooth bounded domain Ω ⊂ R n (n ≥ 3) subject to the non-flux boundary conditions, where χ > 0 and the logistic function f ∈ C 1 [ 0 , ∞) satisfies f (s) ≤ r − μ s γ with r ≥ 0 and γ , μ > 0. It is shown that the problem possesses a global and classical solution as long as γ > 2. Moreover, the global existence of the weak solution is also established provided that f (s) = r s − μ s 2 with any r , μ > 0. [ABSTRACT FROM AUTHOR]

• A new prediction model of wetting depth and wetting apparent contact angle of regular rough surface was established. • The roughness of aggregate surface, pore depth and pore resolution are important control parameters of wetting model. • Aggregate roughness, surface texture and aggregate lithology affect the wettability of epoxy resin binder on aggregate surface. • This paper provides some theoretical basis for exploring the overall wettability phenomenon and then revealing the essential laws of interfacial interactions. In order to study the effect of aggregate characteristics on the wetting of epoxy resin binder-aggregate interface, based on the Wenzel model and Cassie model, this paper established a new wetting model of the irregular rough surface. The model regularizes the rough solid surface and can calculate the wetting depth and apparent contact angle between different irregular rough solids and liquids. The texture parameters of aggregates, the surface tension of test liquids and the contact angles of different liquids-aggregates were tested by laser confocal tester and optical contact angle measuring instrument. It was found that the surface texture parameters of different aggregates were quite different. The relative error between the apparent contact angle calculated by the prediction model and the contact angle measured by the test was less than 15 %, indicating that the prediction model had excellent prediction effect. Through the analysis of the wetting model, it is found that the surface tension of the test liquid, the lithology of the solid aggregate, the surface roughness and the texture structure are the important control parameters affecting the wetting. The surface morphology of rough solid can be designed by changing the resolution k and depth H of micropores, so as to control the wettability of solid aggregate surface and epoxy resin aggregate. [ABSTRACT FROM AUTHOR]

Objective: Endometriosis‐associated ovarian cancer (EAOC) is difficult to diagnose because of its low incidence, uncertain risk factors, and the absence of effective markers. This study aimed to investigate the clinical characteristics of EAOC and identify useful serological markers. Methods: We retrospectively studied the clinical characteristics of patients with EAOC and ovarian endometriosis, obtained between January 1, 2011 and October 31, 2021. Univariate and multivariate logistic regression analyses were used to explore the relationship between clinical characteristics and EAOC. Receiver operating characteristic curves were applied to access the diagnostic value of serological markers in EAOC. Results: In total, the clinical characteristics of 220 patients were obtained; 44 with EAOC and 176 with ovarian endometriosis. EAOC patients were older (46.20 vs. 36.26 years, P < 0.001) and had larger tumors (9.10 vs. 6.73 cm, P = 0.003) together with higher CA19‐9 (21.44 vs. 4.72 U/mL, P < 0.001) and HE4 levels (62.35 vs. 44.19 pmol/L, P < 0.001) when compared with ovarian endometriosis patients. Multivariate analysis showed that HE4 greater than 59.7 pmol/L, CA19‐9 greater than 8.5 U/mL, age 42 years or older, and tumor length 9.2 cm or longer were independent risk factors for EAOC. Significantly, CA19‐9 combined with HE4 had high sensitivity (72.73%) and specificity (78.41%) in diagnosing EAOC. Conclusion: Age over 42 years, large ovarian tumor, serum CA19‐9 and HE4 are valuable in the diagnosis of EAOC. Synopsis: We found that CA19‐9 combined with HE4 had the sensitivity and specificity of 72.73% and 78.41% in diagnosing EAOC. [ABSTRACT FROM AUTHOR]

Intrauterine growth restriction (IUGR) increases the risk of type 2 diabetes mellitus (T2DM) and metabolic diseases. The pancreas of fetuses with IUGR is usually characterized by pancreatic dysplasia and reduced levels of insulin secretion caused by the diminished replication of β-cells. Previous studies showed that a low dose of ouabain could reduce the apoptosis of embryonic nephric cells during IUGR and partially restore the number of nephrons at birth. The rescued kidneys functioned well and decreased the prevalence of hypertension. Thus, we hypothesized that ouabain could rescue pancreatic development during IUGR and reduce the morbidity of T2DM and metabolic diseases. Maternal malnutrition was used to induce the IUGR model, and then a low dose of ouabain was administered to rats with IUGR during pregnancy. Throughout the experiment, we monitored the pattern of weight increase and evaluated the metabolic parameters in the offspring in different stages. Male, but not female, offspring in the IUGR group presented catch-up growth. Ouabain could benefit the impaired glucose tolerance of male offspring; however, this desirable effect was eliminated by aging. The insulin sensitivity was significantly impaired in male offspring with IUGR, but it was improved by ouabain, even during old age. However, in the female offspring, low birth weight appeared to be a beneficial factor even in old age; administering ouabain exacerbated these favorable effects. Our data suggested that IUGR influenced glucose metabolism in a sex-specific manner and ouabain treatment during pregnancy exerted strongly contrasting effects in male and female rats. [ABSTRACT FROM AUTHOR]

In the paper, we establish commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains. The approach is based on Dahlberg's bilinear estimates, and the results may be regarded as an extension of [8,21] to Stokes systems. [ABSTRACT FROM AUTHOR]

In this paper we establish the existence and uniqueness of weak solutions for the initial-boundary value problem of a two-dimensional low-curvature equation, which is related to image analysis. [ABSTRACT FROM AUTHOR]

The introduction of PARP inhibitors (PARPis) and immune checkpoint inhibitors (ICIs) has marked a significant shift in the treatment landscape for solid tumors. Emerging preclinical evidence and initial clinical trials have indicated that the synergistic application of PARPis and ICIs may enhance treatment efficacy and potentially improve long-term patient outcomes. Nonetheless, how to identify specific tumor types and molecular subgroups most likely to benefit from this combination remains an area of ongoing research. This review thoroughly examines current studies on the co-administration of PARPis and ICIs across various solid tumors. It explores the underlying mechanisms of action, evaluates clinical efficacy, identifies potential responder populations, and delineates common adverse events alongside strategic management approaches. The aim is to offer a detailed understanding of this combination therapy, potentially guiding future therapeutic strategies for solid tumors. [Display omitted] • Preclinical Study Confirms Theoretical Foundation for Combination Therapy with PARPi and ICIs. • Combination therapy improves the efficacy of recurrent ovarian cancer, Triple-negative breast cancer, endometrial cancer, and partial metastatic castration-resistant prostate cancer, while beneficial subtypes of urothelial carcinoma, lung, gastric, and pancreatic cancers are controversial. • Combining PAPRi, ICIs, and anti-angiogenic drugs, PD-1 combined with CTLA-4/LAG-3, and highly selective targeting of PARP1 inhibitors for advanced solid tumors are still investigational topics. • The adverse events of combination therapy mainly include mild-to-moderate hematologic, gastrointestinal reactions, and fatigue, while proper management can improve the patient's quality of life. [ABSTRACT FROM AUTHOR]

In actuarial science, Panjer recursion (1981) is used in insurance to compute the loss distribution of the compound risk models. When the severity distribution is continuous with density function, numerical calculation for the compound distribution by applying Panjer recursion will involve an approximation of the integration. In order to simplify the numerical algorithms, we apply Bernstein approximation for the continuous severity distribution function and obtain approximated recursive equations, which are used for computing the approximated values of the compound distribution. The theoretical error bound for the approximation is also obtained. Numerical results show that our algorithm provides reliable results. [ABSTRACT FROM AUTHOR]

In this paper we mainly prove the existence and uniqueness of entropy solutions and the uniqueness of renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces. Moreover, we also obtain the equivalence of entropy solutions and renormalized solutions in the present conditions. [ABSTRACT FROM AUTHOR]

This work studies an outstanding reaction–diffusion system modeling tumor invasion, with interactions among tumor tissue, acid concentration and normal tissue. This model has very different features from the models extensively studied in the mathematics literature. The most challenge issue for mathematical analysis of the present model is the existence of classical solution, since the diffusion of tumor tissue is influenced by the density of normal cells and diffusion degeneracy arises when normal cells are at the carrying capacity. A rigorous proof of global existence and uniqueness of classical solutions is presented. Moreover, we study global dynamics of the solution, and show asymptotic stability of the four possible constant equilibria under various scenarios. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we generalize gradient estimates in space to Orlicz space for weak solutions of elliptic equations of p-Laplacian type with small BMO coefficients in δ-Reifenberg flat domains. Our results improve the known results for such equations using a harmonic analysis-free technique. [Copyright &y& Elsevier]

Abstract: In this paper we generalize classical , , estimates of the gradient to the Orlicz space for weak solutions of quasilinear elliptic equations of p-Laplacian type. [Copyright &y& Elsevier]

Abstract: We develop a unifying method to obtain the interior and boundary estimates for the weak solution of a nonlinear elliptic partial differential equation of p-Laplacian type with BMO coefficients in a δ-Reifenberg flat domain. Our results greatly improve the known results for such equations. [Copyright &y& Elsevier]

In this paper, we investigate the optimal C 1 , α estimates for the elliptic p (⋅) -Laplace equation: div (a (x) | ∇ u | p (x) − 2 ∇ u) = div h (x) + f (x) in Ω with f ∈ L q (⋅) (Ω) and a , h ∈ C σ (Ω ¯). Based on a certain geometric oscillation estimate, the scaling arguments and appropriate localization technique as well as the careful analysis on the variable exponents, we exhibit how the optimal Hölder exponent of ∇ u is influenced by p (⋅) , q (⋅) and σ. This work can be regarded as a natural follow up to the paper by Araújo and Zhang (in press). [ABSTRACT FROM AUTHOR]

In this study, we devoted to investigate immune-related genes and tumor microenvironment (TME) in EC based on The Cancer Genome Atlas (TCGA) database. In total 799 up-regulated and 139 down-regulated immune-related and differentially expressed genes in EC were investigated for functional annotations and prognosis. By a conjoint Cox regression analysis, we built two risk models for OS and DFS, as well as the consistent nomograms. Immune-related pathways were revealed mostly enriched in the low-risk group. By further analyzing TME based on the risk signatures, the higher immune cell infiltration and activation, lower tumor purity and higher tumor mutational burden were found in low-risk group, which presented a better prognosis. Both the expression and immunophenoscore of immune checkpoints PD-1, CTLA4, PD-L1 and PD-L2 increased significantly in low-risk group. These findings may provide new ideas for novel biomarkers and immunotherapy targets in EC. • Our present study investigated the immune-related genes and TME in EC based on TCGA database. • We built two prognostic risk models for OS and DFS based on immune-related genes of EC patients. • The higher immune status, tumor mutational burden and immune checkpoints expression was found in the low-risk group patients. [ABSTRACT FROM AUTHOR]

In this paper we use the Hardy–Littlewoodmaximal functions to obtain the following global BMO estimates f ∈ B M O (R n) ⇒ ∇ u ∈ B M O (R n) for the weak solutions of a class of quasilinear elliptic equations div a ∇ u ∇ u = div f in R n , where B (t) = ∫ 0 t τ a (τ) d τ for t ≥ 0. Meanwhile, we use the iteration-covering procedure to prove that B f ∈ L q (R n) ⇒ B ∇ u ∈ L q (R n) for any q > 1 for the weak solutions of div a ∇ u ∇ u = div a f f in R n. Moreover, we remark that a (t) = t p − 2 (p -Laplace equation) and a (t) = t p − 2 log (1 + t) satisfy the given conditions in this work. [ABSTRACT FROM AUTHOR]

Endometrial cancer (EC) is a fatal female reproductive tumor. Bioinformatic tools are increasingly developed to screen out molecular targets related to EC. In this study, GSE17025 and GSE40032 were obtained from Gene Expression Omnibus (GEO). "limma" package and Venn diagram tool were used to identify hub genes. FunRich was used for functional analysis. Retrieval of Interacting Genes Database (STRING) was used to analyze protein‐protein interaction (PPI) complex. Cancer Genome Atlas (TCGA), GEPIA, immunohistochemistry staining, and ROC curve analysis were carried out for validation. Univariate and multivariate regression analyses were performed to predict the risk score. Compound muscle action potential (CMap) was used to find potential drugs. GSEA was also done. We retrieved seven oncogenes which were upregulated and hypomethylated and 12 tumor suppressor genes (TSGs) which were downregulated and hypermethylated. The upregulated and hypomethylated genes were strikingly enriched in term "immune response" while the downregulated and hypermethylated genes were mainly focused on term "aromatic compound catabolic process." TCGA and GEPIA were used to screen out EDNRB, CDO1, NDN, PLCD1, ROR2, ESPL1, PRAME, and PTTG1. Among them, ESPL1 and ROR2 were identified by Cox regression analysis and were used to construct prognostic risk model. The result showed that ESPL1 was a negative independent prognostic factor. Cmap identified aminoglutethimide, luteolin, sulfadimethoxine, and maprotiline had correlation with EC. GSEA results showed that "hedgehog signaling pathway" was enriched. This research inferred potential aberrantly methylated DEGs and dysregulated pathways may participate in EC development and firstly reported eight hub genes, including EDNRB, CDO1, NDN, PLCD1, ROR2, ESPL1, PRAME, and PTTG1 that could be used to predict EC prognosis. Aminoglutethimide and luteolin may be used to fight against EC. [ABSTRACT FROM AUTHOR]

Cervical cancer (CC) is one kind of female cancer. With the development of bioinformatics, targeted specific biomarkers therapy has become much more valuable. GSE26511 was obtained from gene expression omnibus (GEO). We utilized a package called "WGCNA" to build co-expression network and choose the hub module. Search Tool for the Retrieval of Interacting Genes Database (STRING) was used to analyze protein-protein interaction (PPI) information of those genes in the hub module. A Plug-in called MCODE was utilized to choose hub clusters of PPI network, which was visualized in Cytoscape. Clusterprofiler was used to do functional analysis. Univariate and multivariate cox proportional hazards regression analysis were both conducted to predict the risk score of CC patients. Kaplan-Meier curve analysis was done to show the overall survival. Receiver operating characteristic (ROC) curve analysis was utilized to evaluate the predictive value of the patient outcome. Validation of the hub gene in databases, Gene set enrichment analysis (GSEA) and GEPIA were completed. We built co-expression network based on GSE26511 and one CC-related module was identified. Functional analysis of this module showed that extracellular space and Signaling pathways regulating pluripotency of stem cells were most related pathways. PPI network screened GNG11 as the most valuable protein. Cox analysis showed that ACKR1 was negatively correlated with CC progression, which was validated in Gene Expression Profiling Interactive Analysis (GEPIA) and datasets. Survival analysis was performed and showed the consistent result. GSEA set enrichment analysis was also completed. This study showed hub functional terms and gene participated in CC and then speculated that ACKR1 might be tumor suppressor for CC. [ABSTRACT FROM AUTHOR]

Cervical cancer is the fourth most common malignancy in women worldwide and cervical squamous cell carcinoma (CESC) is the most common histological type of cervical cancer. The dysregulation of genes plays a significant role in cancer. In the present study, we screened out differentially expressed genes (DEGs) of CESC in the GSE63514 data set from the Gene Expression Omnibus database. An integrated bioinformatics analysis was used to select hub genes, as well as to investigate their related prognostic signature, functional annotation, methylation mechanism, and candidate molecular drugs. As a result, a total of 1907 DEGs were identified (944 were upregulated and 963 were downregulated). In the protein–protein interaction network, three hub modules and 30 hub genes were identified. And two hub modules and 116 hub genes were screened out from four CESC‐related modules by the weighted gene coexpression network analysis. The gene ontology term enrichment analysis and Kyoto encyclopedia of genes and genomes pathway analysis were performed to better understand functions and pathways. Genes with a significant prognostic value were found by prognostic signature analysis. And there were five genes (EPHX2, CHAF1B, KIAA1524, CDC45, and RMI2) identified as significant CESC‐associated genes after expression validation and survival analysis. Among them, EPHX2 and RMI2 were noted as two novel key genes for the CESC‐associated methylation and expression. In addition, four candidate small molecule drugs for CESC (camptothecin, resveratrol, vorinostat, and trichostatin A) were defined. Further studies are required to explore these significant CESC‐associated genes for their potentiality in diagnosis, prognosis, and targeted therapy. [ABSTRACT FROM AUTHOR]

This work gives a rigorous proof of the existence of propagating traveling waves of a nonlinear reaction-diffusion system which is a general Gray-Scott model of the pre-mixed isothermal autocatalytic chemical reaction of order m (m>1) between two chemical species, a reactant A and an auto-catalyst B, A+mB→(m+1)B, and a super-linear decay of order n>1, B→C, where 1

In recent years, misconfigurations have become one of the major causes of software system failures, resulting in numerous service outages. What is worse, misconfigurations are also costly to diagnose and troubleshoot. This remains a great challenge for sysadmins (system administrators) to detect, diagnose, or troubleshoot these misconfigurations. Unlike software bugs, misconfigurations are more vulnerable to sysadmins’ mistakes. Developers and researchers are attempting to improve system reactions to misconfigurations to ease the burden of sysadmins’ diagnoses. Such efforts would greatly benefit from the techniques that can comprehensively detect bad system reactions through injected misconfigurations. Unfortunately, few such studies have achieved the above goal in the past, primarily because they only relied on generic alterations and failed to find a way to systematically generate misconfigurations. In this paper, we study eight mature open-source and commercial software packages and summarize a fine-grained classification of option types. Based on this classification, we use Augmented Backus–Naur Form to summarize and extract syntactic and semantic constraints of each type. In order to generate comprehensive misconfigurations in the test systems, we propose misconfiguration generation methods for our constraints. We implement a tool named Configuration Vulnerability Detector (ConfVD) to conduct misconfiguration injection and further analyze the systems’ reaction abilities to various misconfigurations. We carried out comprehensive analyses upon Apache Httpd, MySQL, PostgreSQL, and Yum. The results of our analysis show that our option classification covers 96% of 1582 options from the above-mentioned systems. Our constraints are more fine grained than previous works and their accuracy was found to be 91% (ascertained by manual verification). Our technique could improve generic alteration approaches without constraints, and we found that ConfVD could find nearly three times the bad reactions that were found by ConfErr. In total, we found 65 bad reactions from the systems being tested and our fine-grained constraints contributed 27.7% more bad reactions than techniques only using coarse-grained constraints. [ABSTRACT FROM AUTHOR]

Ovarian cancer is the most lethal gynecological cancer and its metastasis leads to a poor prognosis. The present study was designed to elucidate how microRNA (miR)-665 regulates the proliferation and migration of ovarian tumor cells. Reverse transcription-polymerase chain reaction (RT-PCR) demonstrated that miR-665 expression was decreased in ovarian cancer tissues. Increased expression of miR-665 suppressed the growth and migration of ovarian cancer cells, whereas the downregulated expression of miR-665 led to the opposite results. Bioinformatics tools identified homeobox A10 (HOXA10) as a target of miR-665. Following miR-665 overexpression, HOXA10 protein expression was significantly reduced. A dual luciferase assay revealed that miR-665 bound to the 3′-untranslated region of HOXA10. Immunohistochemistry and RT-PCR revealed that the expression of HOXA10 was negatively correlated with the expression of miR-665. It was concluded that miR-665 targets HOXA10 and may act as a tumor-suppressing gene in ovarian cancer. This pathway may be involved in the development and metastasis of ovarian cancer. [ABSTRACT FROM AUTHOR]

Abstract: This paper deals with a class of linear equations with boundary degeneracy. According to the degenerate ratio, the equations are divided into weakly degenerate ones and strongly degenerate ones, which should be supplemented by different Dirichlet boundary value conditions. After establishing some necessary existence, nonexistence and comparison principles, we investigate the optimal Hölder continuity of weak solutions in these two cases utilizing the Harnack inequality and the Morrey theorem, respectively. [Copyright &y& Elsevier]