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Response Solutions for Degenerate Reversible Harmonic Oscillators with Zero-average Perturbation

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Acta Mathematica sinica,English Series 2023年第10期39卷 2006-2030页

作者： Xin Yu GUAN jian guo si Wen si School of Statistics and Mathematics Shandong University of Finance and EconomicsJi’nan 250002P.R.China School of Mathematics Shandong UniversityJi’nan 250100P.R.China

In this paper,we consider a class of normally degenerate quasi-periodically forced reversible systems,obtained as perturbations of a set of harmonic oscillators,{x˙=y+∈f1(ωt,x,y),y˙=λx^(l)+∈f2(ωt,x,y),where 0≠λ∈R,l>1 is an integer and the corresponding involution G is(−θ,x,−y)→(θ,x,y).The existence of response solutions of the above reversible systems has already been proved in[22]if[f2(ωt,0,0)]satisfies some non-zero average conditions(See the condition(H)in[22]),here[·]denotes the average of a continuous function on T^(d).However,discussing the existence of response solutions for the above systems encounters difficulties when[f_(2)(ωt,0,0)]=0,due to a degenerate implicit function must be *** article will be doing work in this *** purpose of this paper is to consider the case where[f2(ωt,0,0)]=*** precisely,with 2p˜0(seeλ˜in(2.2))and sufficiently small,response solutions exist for eachωsatisfying a weak non-resonant condition;(2)Forλ0 and l−p is even,we prove the system admits no response solutions in most regions.

关键词： Degenerate harmonic oscillators zero-average perturbation KAM theory reversible system response solutions

在共振点附近的一类二阶泛函微分方程的解析解

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数学学报（中文版） 2008年第1期51卷 51-60页

作者：刘同波司建国山东理工大学数学与信息科学学院淄博255049 山东大学数学与系统科学学院济南250100

在复域C内研究一类包含未知函数迭代的二阶微分方程x″(z)=G(z,x(z),x^2(z),…,x^m(z))解析解的存在性.通过Schr(?)der变换,即x(z)=y(αy^(-1)(z)),把这类方程转化为一种不含未知函数迭代的泛函微分方程α~2y″(αz)y″(z)-αy′(αz)y... 详细信息

在复域C内研究一类包含未知函数迭代的二阶微分方程x″(z)=G(z,x(z),x^2(z),…,x^m(z))解析解的存在性.通过Schr(?)der变换,即x(z)=y(αy^(-1)(z)),把这类方程转化为一种不含未知函数迭代的泛函微分方程α~2y″(αz)y″(z)-αy′(αz)y″(z)= (y′(z))~3G(y(z),y(αz),…,y(α~mz)),并给出它的局部可逆解析解.本文不仅讨论了双曲型情形0<|α|<1和共振的情形(α是一个单位根),而且还在Brjuno条件下讨论了共振点附近的情形(即单位根附近).

关键词：迭代泛函微分方程解析解共振

TRIPLET combined with microwave ablation:A novel treatment for advanced hepatocellular carcinoma

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World Journal of Gastrointestinal Oncology 2025年第1期17卷 10-12页

作者： Fei-Yu Zhao guo-Wei si Nian-Song Qian Department of Thoracic Oncology Respiratory and Critical Care MedicineThe Eighth Medical Center of People’s Liberation Army General HospitalBeijing 100853China Department of Gastroenterology Fourth Medical CentreGeneral Hospital of the People's Liberation ArmyBeijing 100142China Senior Department of Thoracic Oncology Respiratory and Critical Care MedicineThe Eighth Medical Center of People’s Liberation Army General HospitalBeijing 100091China

This editorial comments on a study by Zuo et *** focus is on the efficacy of he-patic arterial infusion chemotherapy combined with camrelizumab and apatinib(the TRIPLET regimen),alongside microwave ablation therapy,in treating advanced hepatocellular carcinoma(HCC).The potential application of this combination therapy for patients with advanced HCC is evaluated.

关键词： Microwave ablation Hepatic arterial infusion chemotherapy Apatinib Camrelizumab Hepatocellular carcinoma

Association between intra-pancreatic fat deposition and diseases of the exocrine pancreas: A narrative review

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World Journal of Gastroenterology 2025年第2期31卷 27-41页

作者： Jing Ye jian-guo Wang Rong-Qiang Liu Qiao Shi Wei-Xing Wang Department of General Surgery Renmin Hospital of Wuhan UniversityWuhan 430060Hubei ProvinceChina Department of Pancreatic Surgery Renmin Hospital of Wuhan UniversityWuhan 430060Hubei ProvinceChina

Intrapancreatic fat deposition(IPFD)has garnered increasing attention in recent *** prevalence of IPFD is relatively high and associated with factors such as obesity,age,and ***,the pathophysiological mechanisms underlying IPFD remain unclear,with several potential contributing factors,including oxida-tive stress,alterations in the gut microbiota,and hormonal *** was found to be highly correlated with the occurrence and prognosis of exocrine pan-creatic *** imaging techniques remain the primary diagnostic approach for IPFD,an expanding array of biomarkers and clinical scoring systems have been identified for screening ***,effective treatments for IPFD are not available;however,existing medications,such as glucagon-like peptide-1 receptor agonists,and new therapeutic approaches explored in animal models have shown considerable potential for managing this *** paper reviews the pathogenesis of IPFD,its association with exocrine pancreatic disea-ses,and recent advancements in its diagnosis and treatment,emphasizing the significant clinical relevance of IPFD.

关键词： Intrapancreatic fat deposition Pancreatic steatosis Nonalcoholic fatty pancreas disease Pancreatitis Pancreatic cancer

Loss-of-function mutations of microRNA-142-3p promote ASH1L expression to induce immune evasion and hepatocellular carcinoma progression

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World Journal of Gastroenterology 2025年第1期31卷 126-145页

作者： Xing-Hui Yu Yan Xie jian Yu Kun-Ning Zhang Zhou-Bo guo Di Wang Zhao-Xian Li Wei-Qi Zhang Yu-Ying Tan Li Zhang Wen-Tao jiang School of Medicine Nankai UniversityTianjin 300192China Tianjin Key Laboratory of Molecular Diagnosis and Treatment of Liver Cancer Tianjin First Center HospitalTianjin 300192China Department of Liver Transplantation Tianjin First Center HospitalTianjin 300192China First Central Clinical School Tianjin Medical UniversityTianjin 300192China

BACKGROUND Hepatocellular carcinoma(HCC)has been a pervasive malignancy throughout the world with elevated *** therapeutic targets are beneficial to treat and predict the ***,the exact molecular mechanisms leading to the progression of HCC are still *** has shown that the microRNA-142-3p level decreases in HCC,whereas bioinformatics analysis of the cancer genome atlas database shows the ASH1L expression increased among liver tumor *** this paper,we will explore the effects and mechanisms of microRNA-142-3p and ASH1L affect the prognosis of HCC patients and HCC cell bioactivity,and the association between *** To investigate the effects and mechanisms of microRNA-142-3p and ASH1L on the HCC cell bioactivity and prognosis of HCC *** In this study,we grouped HCC patients according to their immunohistochemistry results of ASH1L with pathological tissues,and retrospectively analyzed the prognosis of HCC ***,explored the roles and mechanisms of microRNA-142-3p and ASH1L by cellular and animal experiments,which involved the following experimental methods:Immunohistochemical staining,western blot,quantitative real-time-polymerase chain reaction,flow cytometric analysis,tumor xenografts in nude mice,*** statistical methods involved in this study contained t-test,one-way analysis of variance,theχ^(2)test,the Kaplan-Meier approach and the log-rank *** In this study,we found that HCC patients with high expression of ASH1L possess a more recurrence rate as well as a decreased overall survival ***1L promotes the tumorigenicity of HCC and microRNA-142-3p exhibits reduced expression in HCC tissues and interacts with ASH1L through targeting the ASH1L 3′untranslated ***,microRNA-142-3p promotes apoptosis and inhibits proliferation,invasion,and migration of HCC cell lines in vitro via *** the exploration mechanism,we found ASH1L may promote an immunosuppressive mi

关键词： Hepatocellular carcinoma MicroRNA-142-3p ASH1L Immune evasion Tumor immune microenvironment Apoptosis

Efficient CO_(2) adsorption and mechanism on nitrogen-doped porous carbons

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Frontiers of Chemical Science and Engineering 2021年第3期15卷 493-504页

作者： Yanxia Wang Xiude Hu Tuo guo jian Hao Chongdian si Qingjie guo State Key Laboratory of High-efficiency Utilization of Coal and Green Chemical Engineering Ningxia UniversityYinchuan 750021China College of Arts and Sciences Ferris State UniversityBig RapidsMI 49307USA

In this work,nitrogen-doped porous carbons(NACs)were fabricated as an adsorbent by urea modification and KOH *** CO_(2) adsorption mechanism for the NACs was then *** NACs are found to present a large specific surface area(1920.72-3078.99 m2·g^(-1))and high micropore percentage(61.60%-76.23%).Under a pressure of 1 bar,sample NAC-650-650 shows the highest CO_(2) adsorption capacity up to 5.96 and 3.92 mmol·g^(-1) at 0 and 25℃,*** addition,the CO_(2)/N_(2) selectivity of NAC-650-650 is 79.93,much higher than the value of 49.77 obtained for the nonnitrogen-doped carbon *** CO_(2) adsorption capacity of the NAC-650-650 sample maintains over 97% after ten *** of the results show that the CO_(2) capacity of the NACs has a linear correlation(R^(2)=0.9633)with the cumulative pore volume for a pore size less than 1.02 *** presence of nitrogen and oxygen enhances the CO_(2)/N_(2) selectivity,and pyrrole-N and hydroxy groups contribute more to the CO_(2) *** situ Fourier transform infrared spectra analysis indicates that CO_(2) is adsorbed onto the NACs as a ***,the physical adsorption mechanism is confirmed by adsorption kinetic models and the isosteric heat,and it is found to be controlled by CO_(2) *** CO_(2) adsorption kinetics for NACs at room temperature and in pure CO_(2) is in accordance with the pseudo-first-order model and Avramís fractional-order kinetic model.

关键词： porous carbon CO_(2)adsorption nitrogendoped adsorption mechanism kinetics

Ramsey Numbers of Trees Versus Multiple Copies of Books

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Acta Mathematicae Applicatae sinica 2024年第3期40卷 600-612页

作者： Xiao-bing guo si-nan HU Yue-jian PENG School of Mathematical Sciences Luoyang Normal UniversityLuoyang 471934China School of Mathematics Hunan UniversityChangsha 410082China

Given two graphs G and H,the Ramsey number R(G,H) is the minimum integer N such that any two-coloring of the edges of K_(N) in red or blue yields a red G or a blue *** v(G) be the number of vertices of G and χ(G) be the chromatic number of *** s(G) denote the chromatic surplus of G,the number of vertices in a minimum color class among all proper χ(G)-colorings of *** showed that R(G,H)≥(v(G)-1)(χ(H)-1)+s(H) if G is connected and v(G)≥s(H).A connected graph G is H-good if R(G,H)=(v(G)-1)(χ(H)-1)+s(H).Let tH denote the disjoint union of t copies of graph H,and let G∨H denote the join of G and *** a complete graph on n vertices by K_(n),and a tree on n vertices by T_(n).Denote a book with n pages by B_(n),i.e.,the join K_(2) ∨■.Erd?s,Faudree,Rousseau and Schelp proved that T_(n) is B_(m)-good if n≥*** this paper,we obtain the exact Ramsey number of T_(n) versus 2B_(2).Our result implies that T_(n) is 2B_(2)-good if n≥5.

关键词： ramsey number ramsey goodness tree book

Molecular simulation study of the microstructures and properties of pyridinium ionic liquid[HPy][BF_(4)]mixed with acetonitrile

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原子与分子物理学报 2025年第4期42卷 27-32页

作者： XU jian-Qiang MA Zhao-Peng CHENG si LIU Zhi-Cong ZHU Guang-Lai Department of Physics School of Physics and Electronic InformationAnhui Normal UniversityWuhu 241002China

The microstructures and thermodynamic properties of mixed systems comprising pyridinium ionic liquid[HPy][BF_(4)]and acetonitrile at different mole fractions were studied using molecular dynamics simulation in this *** following properties were determined:density,self-diffusion coefficient,excess molar volume,and radial distribution *** results show that with an increase in the mole fraction of[HPy][BF_(4)],the self-diffusion coefficient ***,the excess molar volume initially decreases,reaches a minimum,and then *** rules of radial distribution functions(RDFs)of characteristic atoms are *** increasing the mole fraction of[HPy][BF_(4)],the first peak of the RDFs of HA1-F decreases,while that of CT6-CT6 rises at first and then *** indicates that the solvent molecules affect the polar and non-polar regions of[HPy][BF_(4)]differently.

关键词： Pyridinium ionic liquids Thermodynamic properties Molecular dynamics simulation Radial distribution functions

Activin A receptor type 1C single nucleotide polymorphisms associated with esophageal squamous cell carcinoma risk in Chinese population

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World Journal of Gastrointestinal Oncology 2025年第1期17卷 39-51页

作者： si-Yun Lin Hou Huang Jin-Jie Yu Feng Su Tian jiang Shao-Yuan Zhang Lu Lv Tao Long Hui-Wen Pan Jun-Qing Qi Qiang Zhou Wei-Feng Tang guo-Wen Ding Li-Ming Wang Li-Jie Tan Jun Yin Department of Thoracic Surgery Zhongshan Hospital Affiliated to Fudan UniversityShanghai 200032China Shanghai Key Laboratory of Clinical Geriatric Medicine Huadong Hospital Affiliated to Fudan UniversityShanghai 200040China Department of Cardiothoracic Surgery The Affiliated People's Hospital of Jiangsu UniversityZhenjiang 212002Jiangsu ProvinceChina Department of Thoracic Surgery Sichuan Cancer Hospital&InstituteChengdu 610042Sichuan ProvinceChina Department of Cardiothoracic Surgery Nanjing Drum Tower HospitalThe Affiliated Hospital of Nanjing University Medical SchoolNanjing 210000Jiangsu ProvinceChina Department of Respiratory and Critical Care Medicine Shanghai Xuhui Central HospitalShanghai 200032China

BACKGROUND Transforming growth factor-β(TGF-β)superfamily plays an important role in tumor progression and *** A receptor type 1C(ACVR1C)is a TGF-βtype I receptor that is involved in tumorigenesis through binding to dif-ferent *** To evaluate the correlation between single nucleotide polymorphisms(SNPs)of ACVR1C and susceptibility to esophageal squamous cell carcinoma(ESCC)in Chinese Han *** In this hospital-based cohort study,1043 ESCC patients and 1143 healthy controls were *** SNPs(rs4664229,rs4556933,rs77886248,rs77263459,rs6734630)of ACVR1C were assessed by the ligation detection reaction ***-Weinberg equilibrium test,genetic model analysis,stratified analysis,linkage disequi-librium test,and haplotype analysis were *** Participants carrying ACVR1C rs4556933 GA mutant had significantly decreased risk of ESCC,and those with rs77886248 TA mutant were related with higher risk,especially in older male *** the haplotype analysis,ACVR1C Trs4664229Ars4556933Trs77886248Crs77263459Ars6734630 increased risk of ESCC,while Trs4664229Grs4556933Trs77886248Crs77263459Ars6734630 was associated with lower susceptibility to *** ACVR1C rs4556933 and rs77886248 SNPs were associated with the susceptibility to ESCC,which could provide a potential target for early diagnosis and treatment of ESCC in Chinese Han population.

关键词： Activin A receptor type 1C single nucleotide polymorphisms Esophageal squamous cell carcinoma Genetic susceptibility Hospital-based cohort study