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MULTIPLE SOLUTIONS TO CRITICAL MAGNETIC SCHRODINGER EQUATIONS

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Acta Mathematica Scientia 2024年第4期44卷 1373-1393页

作者： Ruijiang wen Jianfu YANG School of Mathematics and Statistics Jiangri Normal UniversityNanchang 330022China

In this paper,we are concerned with the existence of multiple solutions to the critical magnetic Schrödinger equation(-i▽-a(x))^(2)u+⒂λV(x)u=p|u|^(p-2)u+(∫R(n)|u(y)|^(2)_(a)^(*)/|x-y|^(a)dy)|u|2_(a)^(*)-2_(u)in R^(N),(0.1)where N≥4,2≤p0,μ∈R,A(x)=(A_(1)(x),A_(2)(x),…,A_(N)(x))is a real local Hölder continuous vector function,i is the imaginary unit,and V(x)is a real valued potential function on R^(N).Supposing thatΩ=int V^(-1)(0)■R^(N)is bounded,we show that problem(0.1)possesses at least cat_(Ω)(Ω)nontrivial solutions ifλis large.

关键词： critical magnetic Schrödinger equation multiple solutions Ljusternik-Schnirelman theory

Overview of ferroptosis and pyroptosis in acute liver failure

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World Journal of Gastroenterology 2024年第34期30卷 3856-3861页

作者： Ya-wen Sun Bo-wen Zhao Hai-Fang Li Guang-Xiao Zhang College of Life Sciences Shandong Agricultural UniversityTai’an 271018Shandong ProvinceChina

In this editorial,we comment on the article by Zhou et al published in a recent *** specifically focus on the crucial roles of ferroptosis and pyroptosis in acute liver failure(ALF),a disease with high mortality *** is the result of increased intracellular reactive oxygen species due to iron accumulation,glutathione(GSH)depletion,and decreased GSH peroxidase 4 activity,while pyroptosis is a procedural cell death mediated by gasdermin D which initiates a sustained inflammatory *** this review,we describe the characteristics of ferroptosis and pyroptosis,and discuss the involvement of the two cell death modes in the onset and development of ***,we summarize several interfering methods from the perspective of ferroptosis and pyroptosis for the alleviation of *** observations might provide new targets and a theoretical basis for the treatment of ALF,which are also crucial for improving the prognosis of patients with ALF.

关键词： Acute liver failure Ferroptosis Pyroptosis Glutathione peroxidase 4 Gasdermin D

The combined detection of carcinoembryonic antigen,carcinogenic antigen 125,and carcinogenic antigen 19-9 in colorectal cancer patients

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World Journal of Gastrointestinal Surgery 2024年第7期16卷 2073-2079页

作者： Ling-Zhen Gong Qian-wen Wang Jie-wen Zhu Department of Clinical Laboratory Huangshi Central Hospital(Affiliated Hospital of Hubei Polytechnic University)Hubei Key Laboratory of Kidney Disease Pathogenesis and InterventionHuangshi Tumor Molecular Diagnosis and Treatment Key LaboratoryHuangshi 435000Hubei ProvinceChina

BACKGROUND Hepatic metastases are common and difficult to treat after colorectal cancer(CRC)*** predictive value of carcinoembryonic antigen(CEA),cancer antigen(CA)125 and CA19-9 combined tests for liver metastasis is *** To evaluate predictive value of combined tests for CEA,CA125,and CA19-9 levels in patients with liver metastases of *** The retrospective study included patients with CRC alone(50 cases)and patients with CRC combined with liver metastases(50 cases)who were hospitalized between January 2021 and January *** CEA,CA125 and CA19-9 levels were compared between the two groups,and binary logistic regression was used to analyze the predictive value of the combination of these tumor markers in liver *** addition,we performed receiver operating characteristic(ROC)curve analysis to assess its diagnostic *** The results showed that the serum CEA,CA125 and CA19-9 levels in the CRC with liver metastasis group were significantly higher than those in the CRC alone ***,the average serum CEA level in the CRC with liver metastasis group was 162.03.810.01 ng/mL,while that in the CRC alone group was 5.71±9.76 ng/mL;the average serum CA125 levels were 43.47±83.52 U/mL *** 13.5±19.68 U/mL;the average serum CA19-9 levels were 184.46±473.13.U/mL and 26.55±43.96 U/mL *** addition,binary logistic regression analysis showed that CA125 was significant in predicting CRC liver metastasis(P<0.05).ROC curve analysis results showed that the areas under the ROC curves of CEA,CA125 and CA19-9 were 0.607,0.692 and *** These results suggest that combined detection of these tumor markers may help early detection and intervention of CRC liver metastasis,thereby improving patient prognosis.

关键词： Colorectal cancer Liver metastasis Serum markers Carcinoembryonic antigen Cancer antigen 125 Cancer antigen 19-9 Receiver operating characteristic analysis

Index-free triangle-based graph local clustering

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Frontiers of Computer Science 2024年第3期18卷 143-153页

作者： Zhe YUAN Zhewei WEI Fangrui LV Ji-Rong wen The Country and Area Studies Academy Beijing Foreign Studies UniversityBeijing 100089China Gaoling School of Artificial Intelligence Renmin University of ChinaBeijing 100872China

Motif-based graph local clustering(MGLC)is a popular method for graph mining tasks due to its various ***,the traditional two-phase approach of precomputing motif weights before performing local clustering loses locality and is impractical for large *** some attempts have been made to address the efficiency bottleneck,there is still no applicable algorithm for large scale graphs with billions of *** this paper,we propose a purely local and index-free method called Index-free Triangle-based Graph Local Clustering(TGLC^(*))to solve the MGLC problem w.r.t.a ***^(*)directly estimates the Personalized PageRank(PPR)vector using random walks with the desired triangleweighted distribution and proposes the clustering result using a standard sweep *** demonstrate TGLC^(*)’s scalability through theoretical analysis and its practical benefits through a novel visualization ***^(*)is the first algorithm to solve the MGLC problem without precomputing the motif *** experiments on seven real-world large-scale datasets show that TGLC^(*)is applicable and scalable for large graphs.

关键词： graph local clustering triangle motif index-free sampling method visualization

Research on denoising of joint detection signal of water quality with multi-parameter based on IEEMD

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Optoelectronics Letters 2024年第2期20卷 107-115页

作者： LI wen LI Dejian MA Yongyue TIAN Wang wen Xin LI Jie Institute of Mechanical and Electrical Engineering North China University of TechnologyBeijing 100144China1

An improved ensemble empirical mode decomposition(IEEMD) is suggested to process water quality spectral signals in order to address the issue that noise interference makes it difficult to extract and evaluate water quality spectral *** algorithm effectively solves the problems of modal mixing,poor reconstruction accuracy in the empirical mode decomposition(EMD),and a large amount of calculation in the ensemble empirical mode decomposition(EEMD).Based on EEMD,IEEMD firstly preprocesses the original water quality spectral signals,then performs Savitzky-Golay(S-G) smoothing on the decomposed effective intrinsic mode function(IMF) components,and finally reconstructs them to obtain the denoised *** sample data at different concentrations can be accurately analyzed based on the noise-reduced spectral *** this paper,three water quality parameters are used as research objects:benzene(C_(6)H_(6)),benzo(b)fluoranthene(C_(20)H_(12)),and chemical oxygen demand(COD).The original water quality multi-parameter(C_(6)H_(6),C_(20)H_(12),COD) spectral signals were subjected to denoising based on the IEEMD and the water quality multi-parameter joint detection *** signal-to-noise ratio(SNR) and the correlation coefficient(R^(2)) of the fitted curves obtained from the processing of the IEEMD were compared and analyzed with those obtained from the processing of the EMD and the *** experimental results show that the SNR of the spectral signals and the R^(2) of the fitting curve in three water quality parameters have been significantly ***,the IEEMD effectively improves the phenomenon of modal mixing,reduces the amount of calculation,improves the reconstruction accuracy,and provides an important guarantee for the effective extraction of multi-parameter spectral signals of water quality.

关键词： signal parameter noise

Clinical significance of peripheral blood immune cells in patients with gastric cancer after surgery

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World Journal of Gastrointestinal Surgery 2024年第8期16卷 2521-2527页

作者： Qian-wen Wang Jie-wen Zhu Ling-Zhen Gong Department of Clinical Laboratory Huangshi Central Hospital(Affiliated Hospital of Hubei Polytechnic University)Huangshi 435000Hubei ProvinceChina Hubei Key Laboratory of Kidney Disease Pathogenesis and Intervention Huangshi 435000Hubei ProvinceChina Huangshi Tumor Molecular Diagnosis and Treatment Key Laboratory Huangshi 435000Hubei ProvinceChina

BACKGROUND Gastric cancer is one of the most common malignant tumors worldwide,and surgical resection is one of the main ways to treat gastric ***,the immune status of postoperative patients is crucial for prognosis and survival,and immune cells play an important role in this ***,it is helpful to understand the immune status of postoperative patients by evaluating the levels of peripheral blood immune cells,especially total T cells(CD3.),helper T cells(CD3.CD4+),and suppressor T cells(CD3.CD8+),and its relationship to *** To analyzed the immune cells in peripheral blood of patients with gastric cancer after surgery,detect the levels of total T cells,helper T cells and suppressor T *** A total of 58 patients with gastric cancer who received surgical treatment were included in the retrospective *** cytometry was used to detect the level of peripheral blood immune cells and analyze the correlation between total T cells,helper T cells and inhibitory T *** explore the relationship between these immune markers and patient *** The results showed that the levels of total T cells,helper T cells,and suppressor T cells changed in patients after gastric cancer *** was a significant positive correlation between total T cells,helper T cells and suppressor T cells(r=0.3.,P3.P<0.01).Follow-up showed that the survival rate of patients in the high-level total T cell group was significantly higher than that in the low-level group(28.87±24.98 months vs 18.42±16.21 months).The survival curve shows that the curve of patients in the high-level group is shifted to the upper right,and that of the low-level group is shifted *** was no significant difference between the levels of helper T cells and suppressor T cells and patient survival *** By detecting peripheral blood immune c

关键词： Gastric cancer surgery Peripheral blood immune cells Flow cytometry Survival analysis Immune monitoring

Constructing Lithium-Free Anode/Separator Interface via 3. Carbon Fabric Scaffold for Ultrasafe Lithium Metal Batteries

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Research 2024年第3期2023卷 359-368页

作者： Dongdong Li Shengchen Yang Zijian Zheng wen-Yong Lai State Key Laboratory of Organic Electronics and Information Displays(SKLOEID) Institute of Advanced Materials(IAM)School of Chemistry and Life SciencesNanjing University of Posts and Telecommunications9 Wenyuan RoadNanjing 210023China Department of Materials Chemistry Huzhou University1 Xueshi RoadHuzhou 313000China Laboratory for Advanced Interfacial Materials and Devices School of Fashion and TextilesDepartment of Applied Biology and Chemical TechnologyResearch Institute for Intelligent Wearable Systems(RI-IWEAR)Research Institute for Smart Energy(RISE)The Hong Kong Polytechnic UniversityHong Kong SAR 999077China

Metallic lithium represents a promising anode candidate to be utilized in future high-energy lithium ***,the undesirable dendrite growth and fragile solid-electrolyte interphase(SEI)pose critical challenge for pursuing further practical *** contrast to traditional approaches of using inert/lithiophilicity coating,here,we demonstrate a reverse strategy of introducing a highly conductive and lithophobic carbon fabric(CF)scaffold on lithium foil to guide a favorable nucleation site of lithium far away from the anode/separator *** CF scaffold with high conductivity can couple with inner electric field for achieving a uniform distribution of the lithium-ion flux,while the lithophobic feature offers the condition to guide the preferred deposition of lithium onto the underlying lithium foil,which greatly reduces the risk of dendrite-induced short ***,the SEI immersed in the CF scaffold is well supported by CF fibers and therefore exhibits extremely high stability during charge–discharge *** a result,the lithium/CF anodes show>2,000-h stable cycling at 0.5 mA cm−*** metal batteries equipped with our lithium/CF anode deliver a high capacity retention of~99.99%per cycle,i.e.,retain~97.3.capacity after 200 *** unique interface-regulation strategy is versatile for various conductive scaffolds(e.g.,ultrathin and ultralight conductive fabrics),exhibiting high superiority for highly safe lithium metal batteries.

关键词： lithium equipped versatile

Mechanism of selective laser trabeculoplasty:a systemic review

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International Journal of Ophthalmology(English edition) 2024年第5期17卷 963-968页

作者： Yu-Feng Chen wen Zeng Department of Ophthalmology Zhongnan Hospital of Wuhan UniversityWuhan 430071Hubei ProvinceChina

Although selective laser trabeculoplasty(SLT)is a recognized method for the treatment of glaucoma,the exact changes in the target tissue and mechanism for its intraocular pressure lowing effect are still *** purpose of this review is to summarize the potential mechanisms of SLT on trabecular meshwork both in vivo and in vitro,so as to reveal the potential mechanism of *** may induce immune or inflammatory response in trabecular meshwork(TM)induced by possible oxidative damage etc,and remodel extracellular *** may also induce monocytes to aggregate in TM tissue,increase Schlemm’s canal(SC)cell conductivity,disintegrate cell junction and promote permeability through autocrine and paracrine *** provides a theoretical basis for SLT treatment in glaucoma.

关键词： mechanisms selective laser trabeculoplasty glaucoma trabecular meshwork

Lightweight,Strong and High Heat-Resistant Poly(lactide acid)Foams via Microcellular Injection Molding with Self-Assembly Nucleating Agent

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Chinese Journal of Polymer Science 2024年第6期42卷 739-750页

作者： Xiao-Hu Bing wen-Yu Ma Ming-Hui Wu Peng Gao Xiao Zhou Hai-Bin Luo Long Wang wen-Ge Zheng School of materials Science and Engineering Shanghai UniversityShanghai200444China Ningbo Key Lab of Polymer Materials Ningbo Institute of Material Technology and EngineeringChinese Academy of SciencesNingbo315201China University of Chinese Academy of Sciences Beijing100049China

Poly(lactide acid)(PLA)foams have shown considerable promise as eco-friendly alternatives to nondegradable plastic foams,such as polystyrene(PS)***,PLA foam typically suffers from low heat-resistance and poor cellular structure stemming from its inherent slow crystallization rate and low melt *** this study,a high-performance PLA foam with well-defined cell morphology,exceptional strength and enhanced heat-resistance was successfully fabricated via a core-back microcellular injection molding(MIM)*** scanning calorimetry(DSC)results revealed that the added hydrazine-based nucleating agent(HNA)significantly increased the crystallization temperature and accelerated the crystallization process of ***,the addition of a 1.5 wt%of HNA led to a significant reduction in PLA’s cell size,from 43.5µm to 2.87µm,and a remarkable increase in cell density,from 1.08×10^(7)cells/cm^(3.to 2.15×10^(10)cells/cm^(3..This enhancement resulted in a final crystallinity of approximately 55.7%for the PLA blend foam,a marked improvement compared to the pure PLA ***,at 1.5 wt%HNA concentration,the tensile strength and tensile toughness of PLA blend foams demonstrated remarkable improvements of 13.%and 463.,***,the Vicat softening temperature of PLA blend foam increased significantly to 13..8°C,whereas the pure PLA foam exhibited only about 59.7℃.These findings underscore the potential for the preparation of lightweight injection-molded PLA foam with enhanced toughness and heat-resistance,which offers a viable approach for the production of high-performance PLA foams suitable for large-scale applications.

关键词： Poly(lactide acid) Nucleating agent Microcellular injection molding Heat-resistance Toughness