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Precision medicine in the prediction of metachronous liver metastasis in rectal cancer: Applications and challenges
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作者 Xu-Xing Ye Hui-Heng Qu +4 位作者 Chao Yang Wei-Jun Teng yan-ping chen Jun-Mei Lin Xiao-Bo Wang 《World Journal of Gastrointestinal Oncology》 2025年第4期26-30,共5页
Rectal cancer is a major global health concern,and metachronous liver metastasis(MLM)significantly worsens patient prognosis.Advances in imaging and machine learning have led to the development of radiomics models,par... Rectal cancer is a major global health concern,and metachronous liver metastasis(MLM)significantly worsens patient prognosis.Advances in imaging and machine learning have led to the development of radiomics models,particularly those utilizing multiparametric magnetic resonance imaging,which are highly valuable in predicting MLM.These models analyze imaging features to provide insights that can aid clinical decision-making and potentially improve treatment outcomes and survival rates.However,realizing the full potential of radiomics models faces challenges in terms of accuracy,generalizability,and data depen-dency.This editorial comments on a study regarding radiomics prediction models for rectal cancer MLM published recently in the World Journal of Gastrointestinal Oncology,discusses the progress,challenges,and strategies for diagnostic models of MLM in rectal cancer,and proposes directions for future research. 展开更多
关键词 Rectal cancer Metachronous liver metastasis Radiomics Predictive modeling Magnetic resonance imaging
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A Rabbit Model of Hormone-induced Early Avascular Necrosis of the Femoral Head 被引量:24
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作者 QIAN WEN LI MA +3 位作者 yan-ping chen LIN YANG WEI LUO AND XIAO-NING WANG 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2008年第5期398-403,共6页
Objective To establish an experimental model of early stage avascular necrosis of the femoral head (ANFH) caused by corticosteroid in adult rabbits and to observe the pathological changes with various imaging techni... Objective To establish an experimental model of early stage avascular necrosis of the femoral head (ANFH) caused by corticosteroid in adult rabbits and to observe the pathological changes with various imaging techniques. Methods ANFH was induced by a combination of hypersensitivity vasculitis caused by injection of horse serum and subsequent administration of a high dose of corticosteroid. The pathological changes were detected with digital radiography (DR), computed tomography (CT), magnetic resonance imaging (MRI), ink artery infusion angiography, hematoxylin-eosin staining, and immunohistochemistry. Results The imageological and pathological changes corresponded to the clinical characteristics of early stage ANFH. DR showed bilaterally increased bone density, an unclear epiphyseal line, and blurred texture of cancellous bone. CT showed spot-like low-density imaging of cancellous bone, thinner cortical bone, osteoporosis, and an unclear epiphyseal line. MR! showed bone marrow edema and spot-like high signals in T2-weighted imaging in cancellous bone. Ink artery infusion angiography showed fewer obstructed blood vessels in the femoral head. HE staining of pathological sections showed fewer trabeculae and thin bone, an increased proportion of empty osteocyte lacunae, decreased hematopoiesis, thrombosis, and fat cell hypertrophy. Immunohistochemistry showed attenuated expression of vascular endothelial growth factor in osteoblasts and chondrocytes, and on the inner membrane of blood vessels. Conclusion Experimental rabbit model of early stage ANFH caused by corticosteroid can be successfully established and provide the foundation for developing effective methods to treat early stage ANFH. 展开更多
关键词 Avascular necrosis of the femoral head CORTICOSTEROID Animal model
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Selective introduction of surface defects in anatase TiO2 nanosheets for highly efficient photocatalytic hydrogen generation 被引量:10
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作者 Jiang-Yuan Qiu Hua-Zhang Feng +6 位作者 Zhao-Hui chen Shu-Hong Ruan yan-ping chen Ting-Ting Xu Jing-Yun Su En-Na Ha Lu-Yang Wang 《Rare Metals》 SCIE EI CAS CSCD 2022年第6期2074-2083,共10页
Defect engineering greatly enhances the cat-alytic activity of transition metal semiconductor photocat-alysts.Recently,localized surface defects engineering has been intensively researched,but it still remains challen... Defect engineering greatly enhances the cat-alytic activity of transition metal semiconductor photocat-alysts.Recently,localized surface defects engineering has been intensively researched,but it still remains challenges on how to tilt the balance to the controllable construction of surface defects rather than bulk ones.Here,we report a facile room-temperature solution processing strategy on(001)facet exposed anatase TiO_(2) nanosheets(ATO),in which localized defects are generated on the surface selectivity with high concentration.To achieve the aspect,lithium-ethylenediamine(Li-EDA)treatment is carried out on(001)facet exposed ATO under a mild condition.The optimized sample exhibits outstanding photocatalytic H_(2) production rates of 9.28 mmol·g^(-1)·h^(-1) with loading 0.5 wt%Pt as co-catalyst(AM 1.5),which is nearly 7.5 times higher than that of the pristine ATO.This defect engi-neering strategy of ATO photocatalyst will spark the ideas for the defects engineering and semiconductor photocata-lyst,which is with important application prospect in solar energy conversion,including hydrogen generation and carbon dioxide reduction. 展开更多
关键词 Defeet engineering Selective reaction Anatase titanium oxide Disorder structure Hydrogen generation
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Smoking, alcohol consumption, and the risk of extrahepatic cholangiocarcinoma:A meta-analysis 被引量:2
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作者 Xiao-Hua Ye Jia-Ping Huai +2 位作者 Jin Ding yan-ping chen Xue-cheng Sun 《World Journal of Gastroenterology》 SCIE CAS 2013年第46期8780-8788,共9页
AIM:To assess the association between smoking and alcohol consumption and extrahepatic cholangiocarcinoma(ECC)through a meta-analysis of clinical observational studies.METHODS:A literature search was conducted using E... AIM:To assess the association between smoking and alcohol consumption and extrahepatic cholangiocarcinoma(ECC)through a meta-analysis of clinical observational studies.METHODS:A literature search was conducted using Embase and MEDLINE databases from inception to 31May 2013 without language limitations,and by manually searching the references of retrieved articles.Casecontrol and cohort studies that investigated the association between smoking or alcohol consumption and ECC were included.The quality of these studies was assessed using the Newcastle-Ottawa quality assessment scale.Summary relative risks and corresponding95%CI were calculated using a random-effects model.Publication bias was assessed by Begg’s funnel plot and Egger’s test.RESULTS:A total of 12 eligible articles(11 case-control studies and one cohort study)were included in this meta-analysis.Eleven studies reported the association between smoking and ECC.Pooled analysis indicated that smokers had an increased risk of ECC development as compared with non-smokers(summary RR=1.23;95%CI:1.01-1.50).This correlation was present in population-based studies(n=5;summary RR=1.47;95%CI:1.06-2.05)but not in hospital-based studies(n=6;summary RR=1.10;95%CI:0.88-1.37)and in non-Asian regions(n=7;summary RR=1.39;95%CI:1.03-1.87)but not in Asia(n=4;summary RR=1.08;95%CI:0.85-1.38).Seven studies reported an association between consuming alcohol and ECC.Pooled analysis indicated that alcohol drinkers had a similar risk of ECC development as did individuals who did not drink alcohol(summary RR=1.09;95%CI:0.87-1.37).There was moderate heterogeneity among the studies and no evidence of publication bias.CONCLUSION:Smoking is associated with an increased risk of ECC,but alcohol consumption is not.Further population-based studies,particularly cohort studies,are warranted to enable definitive conclusions. 展开更多
关键词 EXTRAHEPATIC CHOLANGIOCARCINOMA SMOKING ALCOHOL consumption META-ANALYSIS Relative RISK
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Inflammation-related markers and prognosis of alpha-fetoprotein producing gastric cancer 被引量:2
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作者 Lu Zhang yan-ping chen +4 位作者 Min Ji Le-Qian Ying Chun-Chun Huang Jing-Yi Zhou Lin Liu 《World Journal of Gastrointestinal Oncology》 SCIE 2024年第9期3875-3886,共12页
BACKGROUND Inflammation-related markers including neutrophil-to-lymphocyte ratio(NLR),platelet-to-lymphocyte ratio(PLR),monocyte-to-lymphocyte ratio(MLR),systemic immune-inflammation index(SII),systemic inflammation r... BACKGROUND Inflammation-related markers including neutrophil-to-lymphocyte ratio(NLR),platelet-to-lymphocyte ratio(PLR),monocyte-to-lymphocyte ratio(MLR),systemic immune-inflammation index(SII),systemic inflammation response index(SIRI)and prognostic nutritional index(PNI)could reflect tumor immune microenvironment and predict prognosis of cancers.However,it had not been explored in alpha-fetoprotein(AFP)producing gastric cancer(GC).AIM To determine the predictive value of inflammation-related peripheral blood markers including as NLR,PLR,MLR,SII,SIRI and PNI in the prognosis of AFPproducing GC(AFPGC).Besides,this study would also compare the differences in tumor immune microenvironment,clinical characteristics and prognosis between AFPGC and AFP-GC patients to improve the understanding of this disease.METHODS 573 patients enrolled were retrospectively studied.They were divided into AFP+group(AFP≥20 ng/mL)and AFP-group(AFP<20 ng/mL),comparing the levels of NLR/PLR/MLR/SII/SIRI/PNI and prognosis.In AFP+group,the impact of NLR/PLR/MLR/SII/SIRI/PNI and their dynamic changes on prognosis were further explored.RESULTS Compared with AFP-patients,AFP+patients had higher NLR/PLR/MLR/SII/-SIRI and lower PNI levels and poorer overall survival(OS).In the AFP+group,mortality was significantly lower in the lower NLR/PLR/MLR/SII/SIRI group and higher PNI group.Moreover,the dynamic increase(NLR/PLR/MLR/SII/-SIRI)or decrease(PNI)was associated with the rise of mortality within 1 year of follow-up.CONCLUSION Compared with AFP-patients,the level of inflammation-related peripheral blood markers significantly increased in AFP+patients,which was correlated with OS of AFP+patients.Also,the gradual increase of SII and SIRI was associated with the risk of death within one year in AFP+patients.AFPGC should be considered as a separate type and distinguished from AFP-GC because of the difference in tumor immune microenvironment.It requires basic experiments and large clinical samples in the future. 展开更多
关键词 Alpha-fetoprotein producing gastric cancer Inflammatory indicator PROGNOSIS Dynamic changes Tumor immune microenvironment
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Silencing MFN2 Drives WNT/β-catenin Nucleation to Reduce Sorafenib Sensitivity in Hepatocellular Carcinoma Cells 被引量:1
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作者 Chai-ming ZENG Bin SHAO +1 位作者 yan-ping chen Gui-sheng DING 《Current Medical Science》 SCIE CAS 2024年第4期789-798,共10页
Objective Mitofusin-2(MFN2)is a mitochondrial membrane protein that plays a critical role in regulating mitochondrial fusion and cellular metabolism.To further elucidate the impact of MFN2,this study aimed to investig... Objective Mitofusin-2(MFN2)is a mitochondrial membrane protein that plays a critical role in regulating mitochondrial fusion and cellular metabolism.To further elucidate the impact of MFN2,this study aimed to investigate its significance on hepatocellular carcinoma(HCC)cell function and its potential role in mediating chemosensitivity.Methods This study investigated the effects of silencing and overexpressing MFN2 on the survival,proliferation,invasion and migration abilities,and sorafenib resistance of MHCC97-L HCC cells.Additional experiments were conducted using XAV939(aβ-catenin inhibitor)and HLY78(aβ-catenin activator)to further validate these findings.Results Silencing MFN2 significantly promoted the survival and proliferation of MHCC97-L cells,enhanced their invasion and migration capacities,increased the IC50 of sorafenib,reduced the percentage of TUNEL-positive cells,and decreased the expression of proapoptotic proteins.Additionally,silencing MFN2 markedly induced the nuclear translocation ofβ-catenin,increasedβ-catenin acetylation levels and enhanced the expression of the downstream regulatory proteins Snail1 and Vimentin while inhibiting E-cadherin expression.Conversely,overexpressing MFN2 reversed the effects observed in MHCC97-L cells mentioned above.The results confirmed that silencing MFN2 activated theβ-catenin/epithelial-mesenchymal transition(EMT)pathway and reduced the sensitivity of cells to sorafenib,which could be reversed by XAV939 treatment.Conversely,overexpression of MFN2 inhibited theβ-catenin/EMT pathway and increased the sensitivity of cells to sorafenib,which could be altered by HLY78.Conclusion Low expression of MFN2 in HCC cells promotes the nuclear translocation ofβ-catenin,thereby activating the EMT pathway and mediating resistance to sorafenib. 展开更多
关键词 mitofusin-2 epithelial-mesenchymal transition sorafenib resistance apoptosis hepatocellular carcinoma
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Four new diterpenoid alkaloids with antitumor effect from Aconitum nagarum var. heterotrichum 被引量:3
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作者 Da-Ke Zhao Xing-Qiao Shi +4 位作者 Li-Mei Zhang Dong-Qiong Yang Hua-Chun Guo yan-ping chen Yong Shen 《Chinese Chemical Letters》 SCIE CAS CSCD 2017年第2期358-361,共4页
Four new diterpenoid alkaloids,nagaconitines A-D(1-4),were isolated from the roots of Aconitum nagarum var.heterotrichum.Their structures were elucidated as 8-(4'-hydroxylbutyryl) aconitine(1),15-oxo-13-deoxylu... Four new diterpenoid alkaloids,nagaconitines A-D(1-4),were isolated from the roots of Aconitum nagarum var.heterotrichum.Their structures were elucidated as 8-(4'-hydroxylbutyryl) aconitine(1),15-oxo-13-deoxyludaconitine(2),15-hydroxyldelphisine(3),and 14-hydroxyl-2- acetoxyspiradine C(4)based on extensive UV,IR,MS,1D NMR and 2D NMR analyses.Compounds 3-4 showed inhibition of cancer cell line SK-OV-3 with 31%(IC_(50) 43.78 μmol/L) and 24%(IC_(50) 32.14 μmol/L),respectively. 展开更多
关键词 Ranunculaceae Aconitum nagarum var.heterotrichum Diterpenoid alkaloids Nagaconitines A-D Antitumor activity
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Metachronous primary esophageal squamous cell carcinoma and duodenal adenocarcinoma:A case report and review of literature 被引量:1
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作者 Chun-Chun Huang Le-Qian Ying +3 位作者 yan-ping chen Min Ji Lu Zhang Lin Liu 《World Journal of Gastrointestinal Surgery》 SCIE 2023年第11期2627-2638,共12页
BACKGROUND The prevalence of multiple primary malignant neoplasms(MPMNs)is increasing in parallel with the incidence of malignancies,the continual improvement of diagnostic models,and the extended life of patients wit... BACKGROUND The prevalence of multiple primary malignant neoplasms(MPMNs)is increasing in parallel with the incidence of malignancies,the continual improvement of diagnostic models,and the extended life of patients with tumors,especially those of the digestive system.However,the co-existence of MPMNs and duodenal adenocarcinoma(DA)is rarely reported.In addition,there is a lack of compre-hensive analysis of MPMNs regarding multi-omics and the tumor microenvir-onment(TME).CASE SUMMARY In this article,we report the case of a 56-year-old man who presented with a complaint of chest discomfort and abdominal distension.The patient was diagnosed with metachronous esophageal squamous cell carcinoma and DA in the Department of Oncology.He underwent radical resection and chemotherapy for the esophageal tumor,as well as chemotherapy combined with a programmed death-1 inhibitor for the duodenal tumor.The overall survival was 16.6 mo.Extensive evaluation of the multi-omics and microenvironment features of primary and metastatic tumors was conducted to:(1)Identify the reasons responsible for the poor prognosis and treatment resistance in this case;and(2)Offer novel diagnostic and therapeutic approaches for MPMNs.This case demonstrated that the development of a second malignancy may be independent of the location of the first tumor.Thus,tumor recurrence(including metastases)should be distinguished from the second primary for an accurate diagnosis of MPMNs.CONCLUSION Multi-omics characteristics and the TME may facilitate treatment selection,improve efficacy,and assist in the prediction of prognosis.Core Tip:Multiple primary malignant neoplasms(MPMNs)are increasingly prevalent in clinical practice,most frequently in the digestive system.We report a rare case of MPMN with a combination of esophageal squamous cell carcinoma and duodenal adenocarcinoma.According to PubMed-indexed literature,there are no standard guidelines or expert consensus on the etiology and comprehensive treatment.We also conducted a detailed study of the features of primary and metastatic tumors.The aim of this report was to identify the reasons responsible for the poor prognosis and treatment resistance in this case through histological data and provide new diagnostic and treatment directions for MPMNs.INTRODUCTION Multiple primary malignant neoplasms(MPMNs),also termed multiple primary cancers,refer to two or more primary tumors that occur simultaneously or sequentially in a single or multiple organs[1].According to the time interval from the diagnosis of the first tumor,MPMNs are divided into synchronous cancer(SC)(<6 mo)and metachronous cancer(MC)(≥6 mo)[2].The detection rate of the second or multiple primary tumors is also on the rise due to newer diagnostic methods and treatments,as well as the longer survival times of patients with cancer.MPMNs are most commonly reported in the digestive system;however,their occurrence in combination with duodenal adenocarcinoma(DA)is extremely rare.In this article,we describe the case of a patient who had metachronous esophageal squamous cell carcinoma(ESCC)and DA with multiple metastases.In this analysis,we thoroughly examined the multi-omics features and tumor-related immune microenvironment.OUTCOME AND FOLLOW-UP The patient was eventually followed up until clinical death on June 18,2022(Figure 2),with an overall survival 16.6 mo. 展开更多
关键词 Multiple primary malignancies Esophageal tumor Duodenal adenocarcinoma Multi-omics Tumor microenvironment Case report
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Diffuse xanthoma in early esophageal cancer: A case report
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作者 Xiao-Yun Yang Kuang-I Fu +2 位作者 yan-ping chen Zhen-Wei chen Jing Ding 《World Journal of Clinical Cases》 SCIE 2021年第19期5259-5265,共7页
BACKGROUND Gastrointestinal xanthomas are asymptomatic and infrequent non-neoplastic lesions that commonly occur in the stomach with Helicobacter pylori-associated gastritis and rarely in the esophagus.To date,there h... BACKGROUND Gastrointestinal xanthomas are asymptomatic and infrequent non-neoplastic lesions that commonly occur in the stomach with Helicobacter pylori-associated gastritis and rarely in the esophagus.To date,there have been no reports of esophageal xanthoma combined with esophageal cancer.Herein,we present the first case in the literature of a diffuse xanthoma complicated with early esophageal cancer.Moreover,this combination makes the endoscopic diagnosis difficult if it is not in mind.CASE SUMMARY A 68-year-old man visited our department with a 2-mo history of epigastric discomfort.He underwent surgery for gastric cancer 6 years ago.Esophagogastroduodenoscopy showed a semi-circumferential irregular yellowish-colored and granular lesion in the esophagus(30-35 cm from the incisors).Using magnifying endoscopy with narrow band imaging,aggregated minute and yellowish-colored spots with tortuous microvessels on the surface were observed,and background coloration was clearly seen in the lesion.As endoscopic biopsy suggested a histologically high-grade dysplasia;the lesion was completely resected en bloc by endoscopic submucosal dissection(ESD).The resected specimen was confirmed to be a squamous cell carcinoma in situ with extensive foamy cells in the superficial mucosal layer.Immunohistochemically,the observed foamy cells were strongly positive for CD68,which is characteristic of xanthoma.The clinical course was favorable,and no recurrence was observed 2 years and 7 mo after ESD.CONCLUSIONDiffuse xanthoma concurrent with early esophageal cancer is extremely rare.The characteristic endoscopic features may assist endoscopists in diagnosing similar lesions. 展开更多
关键词 Esophageal xanthoma Early esophageal cancer Magnifying endoscopy Endoscopic submucosal dissection Case report
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Hydroxymethylation hydroxylation of 1,3-diarylpropene through a catalytic diastereoselective Prins reaction:cyclization logic and access to brazilin core
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作者 Xin-Ting Hu Qing-Yan cheng +4 位作者 yan-ping chen Kun Li Cai-Xian Yan Dashan Li Li-Dong Shao 《Natural Products and Bioprospecting》 CSCD 2024年第1期511-526,共16页
A catalytic diastereoselective Prins reaction for hydroxymethylation and hydroxylation of 1,3-diarylpropene was successfully utilized to prepare various 1,3-dioxanes7 in 14-88%yields.Take advantage of the synthetic in... A catalytic diastereoselective Prins reaction for hydroxymethylation and hydroxylation of 1,3-diarylpropene was successfully utilized to prepare various 1,3-dioxanes7 in 14-88%yields.Take advantage of the synthetic intermediate7h,the key B/C rings in brazilin core could be constructed by the sequential of Friedel-Crafts/Ullmann-Ma rather than Ullmann-Ma/Friedel-Crafts reactions. 展开更多
关键词 Catalytic Prins reaction Hydroxymethylation/hydroxylation 1 3-Diarylpropene BRAZILIN
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Two-grid Method of Expanded Mixed Finite Element Approximations for Parabolic Integro-differential Optimal Control Problems
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作者 yan-ping chen Jian-wei ZHOU Tian-liang HOU 《Acta Mathematicae Applicatae Sinica》 2025年第4期1106-1129,共24页
This paper aims to construct a two-grid scheme of fully discretized expanded mixed finite element methods for optimal control problems governed by parabolic integro-differential equations and discuss a priori error es... This paper aims to construct a two-grid scheme of fully discretized expanded mixed finite element methods for optimal control problems governed by parabolic integro-differential equations and discuss a priori error estimates.The state variables and co-state variables are discretized by the lowest order Raviart-Thomas mixed finite element,and the control variable is approximated by piecewise constant functions.The time derivative is discretized by the backward Euler method.Firstly,we define some new mixed elliptic projections and prove the corresponding error estimates which play an important role in subsequent convergence analysis.Secondly,we derive a priori error estimates for all variables.Thirdly,we present a two-grid scheme and analyze its convergence.In the two-grid scheme,the solution of the parabolic optimal control problem on a fine grid is reduced to the solution of the parabolic optimal control problem on a much coarser grid and the solution of a decoupled linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.At last,a numerical example is presented to verify the theoretical results. 展开更多
关键词 linear parabolic integro-differential equations expanded mixed finite element method a priori error estimates two-grid SUPERCONVERGENCE
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A network security entity recognition method based on feature template and CNN-BiLSTM-CRF 被引量:29
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作者 Ya QIN Guo-wei SHEN +3 位作者 Wen-bo ZHAO yan-ping chen Miao YU Xin JIN 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2019年第6期872-884,共13页
By network security threat intelligence analysis based on a security knowledge graph(SKG), multi-source threat intelligence data can be analyzed in a fine-grained manner. This has received extensive attention. It is d... By network security threat intelligence analysis based on a security knowledge graph(SKG), multi-source threat intelligence data can be analyzed in a fine-grained manner. This has received extensive attention. It is difficult for traditional named entity recognition methods to identify mixed security entities in Chinese and English in the field of network security, and there are difficulties in accurately identifying network security entities because of insufficient features extracted. In this paper, we propose a novel FT-CNN-BiLSTM-CRF security entity recognition method based on a neural network CNN-BiLSTM-CRF model combined with a feature template(FT). The feature template is used to extract local context features, and a neural network model is used to automatically extract character features and text global features. Experimental results showed that our method can achieve an F-score of 86% on a large-scale network security dataset and outperforms other methods. 展开更多
关键词 NETWORK SECURITY ENTITY SECURITY knowledge graph (SKG) ENTITY recognition FEATURE TEMPLATE Neural NETWORK
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IMPROVED ERROR ESTIMATES FOR MIXED FINITE ELEMENT FOR NONLINEAR HYPERBOLIC EQUATIONS: THE CONTINUOUS-TIME CASE 被引量:1
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作者 yan-ping chen Yun-qing Huang 《Journal of Computational Mathematics》 SCIE EI CSCD 2001年第4期385-392,共8页
Presents a study which computed the L sup2-error estimates for mixed finite element methods for second order nonlinear hyperbolic equations. Application of computed results to a continuous-time case; Demonstration of ... Presents a study which computed the L sup2-error estimates for mixed finite element methods for second order nonlinear hyperbolic equations. Application of computed results to a continuous-time case; Demonstration of the convergence of the values for both the scalar function and the flux; Technique used in the computation. 展开更多
关键词 nonlinear hyperbolic equations mixed finite element methods error estimates SUPERCONVERGENCE
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Commutators of Parabolic Singular Integrals on the Generalized Morrey Spaces
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作者 yan-ping chen Yong DING 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第2期367-378,共12页
Let [b, T] be the commutator of parabolic singular integral T. In this paper, the authors prove that the boundedness of [b, T] on the generalized Morrey spaces implies b ∈ BMO(Rn, ρ). The results in this paper imp... Let [b, T] be the commutator of parabolic singular integral T. In this paper, the authors prove that the boundedness of [b, T] on the generalized Morrey spaces implies b ∈ BMO(Rn, ρ). The results in this paper improve and extend the Komori and Mizuhara's results. 展开更多
关键词 parabolic singular integrals COMMUTATORS BMO generalized Morrey space
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A Novel Error Analysis of Spectral Method for the Anomalous Subdiffusion Problems with Multi-term Time-fractional Derivative
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作者 Bo TANG yan-ping chen +1 位作者 Bin XIE Xiu-xiu LIN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2023年第4期943-961,共19页
This paper aims to extend a space-time spectral method to address the multi-term time-fractional subdiffusion equations with Caputo derivative. In this method, the Jacobi polynomials are adopted as the basis functions... This paper aims to extend a space-time spectral method to address the multi-term time-fractional subdiffusion equations with Caputo derivative. In this method, the Jacobi polynomials are adopted as the basis functions for temporal discretization and the Lagrangian polynomials are used for spatial discretization. An efficient spectral approximation of the weak solution is established. The main work is the demonstration of the well-posedness for the weak problem and the derivation of a posteriori error estimates for the spectral Galerkin approximation. Extensive numerical experiments are presented to perform the validity of a posteriori error estimators, which support our theoretical results. 展开更多
关键词 space-time spectral methods multi-term time-fractional WELL-POSEDNESS a posteriori error estimates
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