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Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with Caputo Fractional Derivative
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作者 Dandan Dai Xiaoyu Li +2 位作者 Zhiyuan Li Wei Zhang yulan wang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第5期1371-1392,共22页
Although some numerical methods of the fractional-order chaotic systems have been announced,high-precision numerical methods have always been the direction that researchers strive to pursue.Based on this problem,this ... Although some numerical methods of the fractional-order chaotic systems have been announced,high-precision numerical methods have always been the direction that researchers strive to pursue.Based on this problem,this paper introduces a high-precision numerical approach.Some complex dynamic behavior of fractional-order Lorenz chaotic systems are shown by using the present method.We observe some novel dynamic behavior in numerical experiments which are unlike any that have been previously discovered in numerical experiments or theoretical studies.We investigate the influence of α_(1),α_(2),α_(3) on the numerical solution of fractional-order Lorenz chaotic systems.The simulation results of integer order are in good agreement with those of othermethods.The simulation results of numerical experiments demonstrate the effectiveness of the present method. 展开更多
关键词 Novel complex dynamic behavior numerical simulation fractional-order lorenz chaotic systems HIGH-PRECISION
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Characterization of prognosis and immune infiltration by a novel glutamine metabolism-related model in cutaneous melanoma
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作者 MENGQIN ZHU TIANYI XU +4 位作者 HAN ZHANG XIN FAN yulan wang JIAJIA ZHANG FEI YU 《BIOCELL》 SCIE 2023年第9期1931-1945,共15页
Glutamine metabolism(GM)plays an important role in tumor growth and proliferation.Skin cutaneous melanoma(SKCM)is a glutamine-dependent cancer.However,the molecular characteristics and action mechanism of GM on SKCM r... Glutamine metabolism(GM)plays an important role in tumor growth and proliferation.Skin cutaneous melanoma(SKCM)is a glutamine-dependent cancer.However,the molecular characteristics and action mechanism of GM on SKCM remain unclear.Therefore,we aimed to explore the effects of GM-related genes on survival,clinicopathological characteristics,and the tumor microenvironment in SKCM.In this study,682 SKCM samples were obtained from the Cancer Genome Atlas(TCGA)and Gene Expression Omnibus(GEO)databases.Consensus clustering was used to classify SKCM samples into distinct subtypes based on 41 GM-related genes.Differences in survival,immune infiltration,clinical characteristics,and Kyoto Encyclopedia of Genes and Genomes(KEGG)pathways as well as differentially expressed genes(DEGs)between subgroups were evaluated.A prognostic model was constructed according to prognostic DEGs.Differential analyses in survival,immune infiltration,tumor microenvironment(TME),tumor mutation burden(TMB),stemness,and drug sensitivity between risk groups were conducted.We identified two distinct GM-related subtypes on SKCM and found that GM-related gene alterations were associated with survival probability,clinical features,biological function,and immune infiltration.Then a risk model based on six DEGs(IL18,SEMA6A,PAEP,TNFRSF17,AIM2,and CXCL10)was constructed and validated for predicting overall survival in SKCM patients.The results showed that the risk score was negatively correlated with CD8+T cells,activated CD4+memory T cells,M1 macrophages,andγδT cells.The group with a low-risk score was accompanied by a better survival rate with higher TME scores and lower stemness index.Moreover,the group with high-and low-risk score had a significant difference with the sensitivity of 75 drugs(p<0.001).Overall,distinct subtypes in SKCM patients based on GM-related genes were identified and the risk model was constructed,which might contribute to prognosis prediction,guide clinical therapy,and develop novel therapeutic strategies. 展开更多
关键词 Glutamine metabolism Cutaneous melanoma Immune infiltration Overall survival
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Antibacterial effects of platelet-rich fibrin produced by horizontal centrifugation 被引量:12
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作者 Mengge Feng yulan wang +5 位作者 Peng Zhang Qin Zhao Shimin Yu Kailun Shen Richard J.Miron Yufeng Zhang 《International Journal of Oral Science》 SCIE CAS CSCD 2020年第4期309-316,共8页
Platelet-rich fibrin(PRF)has been widely used owing to its ability to stimulate tissue regeneration.To date,few studies have described the antibacterial properties of PRF.Previously,PRF prepared by horizontal centrifu... Platelet-rich fibrin(PRF)has been widely used owing to its ability to stimulate tissue regeneration.To date,few studies have described the antibacterial properties of PRF.Previously,PRF prepared by horizontal centrifugation(H-PRF)was shown to contain more immune cells than leukocyte-and platelet-rich fibrin(L-PRF).This study aimed to compare the antimicrobial effects of PRFs against Staphylococcus aureus and Escherichia coli in vitro and to determine whether the antibacterial effects correlated with the number of immune cells.Blood samples were obtained from eight healthy donors to prepare L-PRF and H-PRF.The sizes and weights of L-PRF and H-PRF were first evaluated,and their antibacterial effects against S.aureus and E.coli were then tested in vitro using the inhibition ring and plate-counting test methods.Flow-cytometric analysis of the cell components of L-PRF and H-PRF was also performed.No significant differences in size or weight were observed between the L-PRF and H-PRF groups.The H-PRF group contained more leukocytes than the L-PRF group.While both PRFs had notable antimicrobial activity against S.aureus and E.coli,H-PRF demonstrated a significantly better antibacterial effect than L-PRF.Furthermore,the antimicrobial ability of the PRF solid was less efficient than that of wet PRF.In conclusion,H-PRF exhibited better antibacterial activity than L-PRF,which might have been attributed to having more immune cells. 展开更多
关键词 FIBRIN BLOOD PLATELET
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Modulation of Gut Microbiota in Pathological States 被引量:9
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作者 yulan wang Baohongwang +3 位作者 Junfang wu xiangyang Jiang Huiru Tang Ole H. Nielsen 《Engineering》 SCIE EI 2017年第1期83-89,共7页
人类微生态是寄居在人体中的微生物聚集体,且主要存在于胃肠道(GIT)中。肠道微生态随着人体发育而演化,并在人类健康和疾病中起着重要作用。近年来,由于微生态会影响宿主代谢、生理学和免疫系统发育,而且微生态紊乱可能导致许多疾病,其... 人类微生态是寄居在人体中的微生物聚集体,且主要存在于胃肠道(GIT)中。肠道微生态随着人体发育而演化,并在人类健康和疾病中起着重要作用。近年来,由于微生态会影响宿主代谢、生理学和免疫系统发育,而且微生态紊乱可能导致许多疾病,其越来越受到人们的关注。肠道微生态可能与恶性肿瘤有一定联系,如胃癌和结直肠癌;也可能与其他一些疾病有关,如非酒精性脂肪肝(NAFLD)、被称为工业化世界'生活方式疾病'的肥胖和糖尿病、冠心病以及中枢神经系统紊乱。虽然分子技术革命为我们更准确地研究肠道微生态提供了必要的工具,但是我们需要更精确地阐明其与某些人类疾病病理变化的关系,明确微生态在不同疾病中的作用是新的治疗策略发展的基础。本文概述了肠道微生态对人类健康的重要影响以及调整肠道菌群结构的潜在用途,如菌群移植用于治疗耐药艰难梭菌(C.difficile)的感染。通过微生态干预调整肠道区域以改善人类健康的概念虽刚刚兴起,但其治疗意义显著。因此,抑制有害菌、促进有益菌可能会保护人类健康,并且这些努力将为探索发展更加合理的治疗方案打下基础。 展开更多
关键词 肠道菌群 疾病 菌群调节
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Purification Influence of Synthesis Gas Derived from Methanol Cracking on the Performance of Cobalt Catalyst in Fischer-Tropsch Synthesis
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作者 Wei Zhou Shengying Liu +3 位作者 yulan wang Kegong Fang Jiangang Chen Yuhan Sun 《Journal of Natural Gas Chemistry》 EI CAS CSCD 2005年第4期193-198,共6页
Synthesis gas derived from methanol cracking (SGMC) was applied as simulating feedstock of Fischer-Tropsch synthesis (FTS) in laboratory. With MS and GC detector, a trifle of sulfur compounds, a small amount of oxygen... Synthesis gas derived from methanol cracking (SGMC) was applied as simulating feedstock of Fischer-Tropsch synthesis (FTS) in laboratory. With MS and GC detector, a trifle of sulfur compounds, a small amount of oxygenates including H2O, CH3OH, DME and CO2 as well as a few of low carbon alkanes were found in the SGMC. After purification, the sulfur compounds, H2O, CH3OH and DME could be eliminated efficiently from the SGMC while CO2 and the low carbon alkanes were partly removed. When the unpurified SGMC, the desufurized SGMC and the totally purified SGMC were sequentially applied in cobalt-based FTS, the catalytic performance of Co/ZrO2/SiO2 catalyst was gradually improved corresponding to the degree of purification. The untreated SGMC led to the serious deactivation of the cobalt catalyst, the partially treated SGMC slowed down the deactivation rate and the totally purified SGMC resulted in little deactivation of the catalyst, which was similar to what the pure synthesis gas (the mixture of pure H2 and CO) did. The results indicated that the SGMC should be purified and the purification course used in this paper was effective for the SGMC. Furthermore, the totally purified SGMC could substitute for the pure synthesis gas in cobalt FTS. 展开更多
关键词 合成气 甲醇裂解 FISCHER-TROPSCH合成 净化 钴催化剂
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Detecting benign uterine tumors by autofuorescence lifetime imaging microscopy through adjacent healthy cervical tissues
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作者 Maojia Huang Zixiao Zhang +7 位作者 Xinyi wang Yonghui Xie Yiyan Fei Jiong Ma Jing wang Li Chen Lan Mi yulan wang 《Journal of Innovative Optical Health Sciences》 SCIE EI CAS 2019年第5期105-115,共11页
The endogenous fluorophores such as reduced nicotinarmide adenine dinucleotide(phosphate)(NAD(P)H)and favin adenine dinucleotide(FAD)in cells and tissues can be imaged by fuo-rescence lifetime imaging microscopy(FLIM)... The endogenous fluorophores such as reduced nicotinarmide adenine dinucleotide(phosphate)(NAD(P)H)and favin adenine dinucleotide(FAD)in cells and tissues can be imaged by fuo-rescence lifetime imaging microscopy(FLIM)to show the tisute morphology features,as well as the biomolecular changes in microenvironment.The two important coenzymes in cellular metabolism,NAD(P)H and FAD,can be used to monitor the cellular metabolic status.This work proposed a novel method to study the uterine metabolism at the adjacent site of healthy cervix.It was found that the benign uterine tumors such as leiomyomas and adenomyosis with abnormal cell growth can be detected by measuring the fluorescence lifetime of NAD(P)H and FAD in adjacent healthy cervical tisues.This method opened a novel strategy for alicted women to undergo the cervical biopsies instead of hysterectomies for detecting tumors,which can preserve the fertility of patients.The FLIM studying on NAD(P)H and FAD indicated the correlation between metabolism and some diseases,including diabetes,hyperthyroidism and obesity.It was also suggested that the metabolic level might be quite different for a patient with a malignant tumnor history. 展开更多
关键词 Autofuorescence fuorescence lifetime imaging benign uterine tumor metabolism
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On the Application of a Mobile Grid Technology to Computational Fluid Dynamics
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作者 Zhiyuan Cheng yulan wang +1 位作者 Yingang wang Qiong Nie 《Fluid Dynamics & Materials Processing》 EI 2019年第4期357-366,共10页
On the basis of harmonic mapping theory,a mobile grid technology is applied to computational fluid dynamics(CFD).Starting from the observation that standard fixed-grid techniques often fail in addressing problems with... On the basis of harmonic mapping theory,a mobile grid technology is applied to computational fluid dynamics(CFD).Starting from the observation that standard fixed-grid techniques often fail in addressing problems with large deformations,we elaborate a new algorithm relying on the software COMSOL Multiphysics 5.3a to solve the coupling of the mobile grid equation and the governing differential equations for fluid flow.The motion of water in a water tank when the tank waggles is simulated.We demonstrate that this technology can be implemented without a significant increase in the computational cost with respect to standard numerical methods. 展开更多
关键词 Harmonic mapping mobile grid computational fluid dynamics large deformation
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Pesticide Susceptibility of Silurus asotus Linnaeus from Poyang Lake
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作者 qinglong JIANG Yi YAO yulan wang 《Agricultural Biotechnology》 CAS 2016年第2期51-52,共2页
In this study,the susceptibility of S.asotus Linnaeus from Poyang Lake to several common pesticides was investigated.The results showed that S.asotus Linnaeus from Poyang Lake was susceptible to cypermethrin,and the 4... In this study,the susceptibility of S.asotus Linnaeus from Poyang Lake to several common pesticides was investigated.The results showed that S.asotus Linnaeus from Poyang Lake was susceptible to cypermethrin,and the 48 h minimum lethal concentration ranged between 0.063-0.069 mg/L.This study provided reference for scientific medication and development of commercial production of S.asotus Linnaeus in Poyang Lake. 展开更多
关键词 鄱阳湖 敏感性 农药 氯氰菊酯 致死浓度 科学用药 美国
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Tuning the exciton binding energy of covalent organic frameworks for efficient photocatalysis
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作者 Zhangjie Gu Zhen Shan +6 位作者 yulan wang Jinjian wang Tongtong Liu Xiaoming Li Zhiyang Yu Jian Su Gen Zhang 《Chinese Chemical Letters》 SCIE CAS CSCD 2024年第2期577-583,共7页
Owing to the large exciton binding energy(>100 meV)of most organic materials,the process of exciton dissociation into free electrons and holes is seriously hindered,which plays a key role in the photocatalytic syst... Owing to the large exciton binding energy(>100 meV)of most organic materials,the process of exciton dissociation into free electrons and holes is seriously hindered,which plays a key role in the photocatalytic system.In this study,a series of chalcogen(S,Se)-substituted mesoporous covalent organic frameworks(COFs)have been synthesized for enhanced photocatalytic organic transformations.Photoelectrochemical measurements indicate that the introduction of semi-metallic Se atom and the enlargement of conjugation degree can not only reduce the exciton binding energy accelerating the charge separation,but also reduce the band gap of COFs.As a result,the COF-NUST-36 with the lowest exciton binding energy(39.5 meV)shows the highest photocatalytic performance for selective oxidation of amines(up to 98%Conv.and 97.5%Sel.).This work provides a feasible method for designing COFs with high photocatalytic activity by adjusting exciton binding energy. 展开更多
关键词 Covalent organic frameworks Exciton binding energy Atom substitution Extended conjugation PHOTOCATALYSIS
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Clinical and pathological features of miR-10b and RHOC gene expression in hepatocellular carcinoma 被引量:4
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作者 Jingli Du yulan wang +4 位作者 Hanjiang Fu Xiaofei Zheng Minggui Lin Mingzhou Guo Lixin Wei 《Chinese Science Bulletin》 SCIE EI CAS 2014年第19期2249-2253,共5页
Aberrant expression of microRNAs(miRNAs)was reported frequently in different human cancers.The major role of miRNA is targeting 30-UTR of coding gene and causing translational repression or mRNA degradation.miR-10b ov... Aberrant expression of microRNAs(miRNAs)was reported frequently in different human cancers.The major role of miRNA is targeting 30-UTR of coding gene and causing translational repression or mRNA degradation.miR-10b overexpression was reported to promote breast cancer metastasis by up-regulating RHOC expression.But its expression in hepatocellular carcinoma(HCC)remains unclear.Our study indicated that the expression of miR-10b was different in HCC and adjacent tissue samples,and reduced expression of miR-10b in HCC was related tovein invasion.High-level expression of RHOC was also related to vein invasion in HCC.But no correlation was found between miR-10b and RHOC expression.These results suggest that miR-10b and RHOC are independent predictors of HCC invasion and metastasis. 展开更多
关键词 肝癌 病理特征 OC基因 microRNA 临床 RH MRNA降解 miRNA
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Preparation,characterization and biological properties of a novel bone block composed of platelet rich fibrin and a deproteinized bovine bone mineral 被引量:3
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作者 Mengge Feng yulan wang +8 位作者 Yan Wei Xiaoxin Zhang Leyi Xiao Zijjian Gong Masako Fujioka-Kobayashi Anton Sculean Richard J Miron Scott Froum Yufeng Zhang 《Fundamental Research》 CAS 2022年第2期321-328,共8页
Alveolar bone defects caused by tooth loss often lead to challenges in implant dentistry,with a need for development of optimal bone biomaterials to predictably rebuild these tissues.To address this problem,we fabrica... Alveolar bone defects caused by tooth loss often lead to challenges in implant dentistry,with a need for development of optimal bone biomaterials to predictably rebuild these tissues.To address this problem,we fabricated a novel bone block using platelet-rich fibrin(PRF)and Deproteinized Bovine Bone Mineral(DBBM),and characterized their mechanical and biological properties.The bone block was prepared by mixing DBBM,Liquid-PRF,and Solid-PRF fragments in various combinations as follows:(1)BLOCK-1 made with Solid-PRF fragments+DBBM,(2)BLOCK-2 made with Liquid-PRF+DBBM,(3)BLOCK-3 made with Solid-PRF fragments+Liquid-PRF+DBBM.The time for solidification and the degradation properties were subsequently recorded.Scanning electron microscopy(SEM)and tensile tests were carried out to investigate the microstructure and mechanical properties of each block.The bioactivity of the three groups towards osteoblast differentiation was also evaluated by culturing cells with the conditioned medium from each of the three groups including cell proliferation assay,cell migration assay,alkaline phosphatase(ALP)staining,and alizarin red staining(ARS),as well as by real-time PCR for genes encoding runt-related transcription factor 2(RUNX2),ALP,collagen type I alphal(COLIv41)and osteocalcin(OCN).BLOCK-3 made with Solid-PRF fragments+Liquid-PRF+DBBM had by far the fastest solidification period(over a 10-fold increase)as well as the most resistance to degradation.SEM and tensile tests also revealed that the mechanical properties of BLOCK-3 were superior in strength when compared to all other groups and further induced the highest osteoblast migration and osteogenic differentiation confirmed by ALP,ARS and real-time PCR.PRF bone blocks made through the combination of Solid-PRF fragments+Liquid-PRF+DBBM had the greatest mechanical and biological properties when compared to either used alone.Future clinical studies are warranted to further support the clinical application of PRF bone blocks in bone regeneration procedures. 展开更多
关键词 BLOOD Platelet-rich fibrin Bone formation Dental implant REGENERATION
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Development and validation of an improved probabilistic quotient normalization method for LC/MS-and NMR-based metabonomic analysis 被引量:1
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作者 Yanpeng An Si Liu +2 位作者 Fuhua Hao yulan wang Huiru Tang 《Chinese Chemical Letters》 SCIE CAS CSCD 2020年第7期1827-1830,共4页
Robust normalization is a prerequisite for reliable metabonomic analysis especially when intervention treatments cause drastic metabolomic changes or when spot urinary samples are employed without knowing the drinking... Robust normalization is a prerequisite for reliable metabonomic analysis especially when intervention treatments cause drastic metabolomic changes or when spot urinary samples are employed without knowing the drinking water quantity.With the simulated and real datasets,here,we report a probabilistic quotient normalization method based on the mode-of-quotients(mPQN)which is suitable for metabonomic analysis of both NMR and LC-MS data with little and/or drastic metabolite changes.When applied to metabonomic analysis of both animal plasma samples and human urinary samples,this newly proposed method has clearly shown better robustness than all classical normalization methods especially when drastic changes of some metabolites occur. 展开更多
关键词 METABONOMICS NORMALIZATION Probabilistic quotient normalization NMR LC-MS
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Challenges in Analysis of Hydrophilic Metabolites Using Chromatography Coupled with Mass Spectrometry 被引量:1
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作者 Qingyu Hu Huiru Tang yulan wang 《Journal of Analysis and Testing》 EI 2020年第3期140-162,共23页
Hydrophilic metabolites play important roles in cellular energy metabolism,signal transduction,immunity.However,there are challenges in both identification and quantification of the hydrophilic metabolites due to thei... Hydrophilic metabolites play important roles in cellular energy metabolism,signal transduction,immunity.However,there are challenges in both identification and quantification of the hydrophilic metabolites due to their weak interactions with C18-reversed-phase liquid chromatography(RPLC),leading to poor retention of hydrophilic metabolites on the columns.Many strategies have been put forward to increase the retention behavior of hydrophilic metabolites in the RPLC system.Non-derivatization methods are mainly focused on the development of new chromatographic techniques with different separation mechanisms,such as capillary electrophoresis,ion-pairing RPLC etc.Derivatization methods improve the hydrophobicity of metabolites and can enhance the MS response.This review mainly focused on the illustration of challenges of LCMS in the analysis of hydrophilic metabolomics field,and summarized the non-derivatization and derivatization strategies,with the intention of providing multiple choices for analysis of hydrophilic metabolites. 展开更多
关键词 Hydrophilic metabolites Hydrophilic interaction chromatography Ion-pairing reversed-phase liquid chromatography Ion chromatography Capillary electrophoresis DERIVATIZATION
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Design, synthesis and biological evaluation of pyrazolo[3,4-d]pyridazinone derivatives as covalent FGFR inhibitors
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作者 Xiaowei Wu Mengdi Dai +13 位作者 Rongrong Cui yulan wang Chunpu Li Xia Peng Jihui Zhao Bao wang Yang Dai Dan Feng Tianbiao Yang Hualiang Jiang Meiyu Geng Jing Ai Mingyue Zheng Hong Liu 《Acta Pharmaceutica Sinica B》 SCIE CAS CSCD 2021年第3期781-794,共14页
Fibroblast growth factor receptors (FGFRs) have emerged as promising targets for anticancer therapy.In this study,we synthesized and evaluated the biological activity of 66 pyrazolo[3,4-d]pyridazinone derivatives.Kina... Fibroblast growth factor receptors (FGFRs) have emerged as promising targets for anticancer therapy.In this study,we synthesized and evaluated the biological activity of 66 pyrazolo[3,4-d]pyridazinone derivatives.Kinase inhibition,cell proliferation,and whole blood stability assays were used to evaluate their activity on FGFR,allowing us to explore structureàactivity relationships and thus to gain understanding of the structural requirements to modulate covalent inhibitors’selectivity and reactivity.Among them,compound 10h exhibited potent enzymatic activity against FGFR and remarkably inhibited proliferation of various cancer cells associated with FGFR dysregulation,and suppressed FGFR signaling pathway in cancer cells by the immunoblot analysis.Moreover,10h displayed highly potent antitumor efficacy (TGI Z 91.6%,at a dose of 50 mg/kg) in the FGFR1-amplified NCI-H1581 xenograft model. 展开更多
关键词 Tyrosine kinase Covalent FGFR inhibitors Virtual screening Pyrazolo[3 4-d]pyridazinone Structure-activity relationships Antitumor efficacy
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AgInS_(2)/ZnS quantum dots for noninvasive cervical cancer screening with intracellular pH sensing using fluorescence lifetime imaging microscopy
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作者 Wenhua Su Dan Yang +7 位作者 yulan wang Yawei Kong Wanlu Zhang Jing wang Yiyan Fei Ruiqian Guo Jiong Ma Lan Mi 《Nano Research》 SCIE EI CSCD 2022年第6期5193-5204,共12页
Intracellular pH plays a critical role in biological functions,and abnormal pH values are related to various diseases.Here,we report on an intracellular pH sensor AgInS_(2)(AIS)/ZnS quantum dots(QDs)that show long flu... Intracellular pH plays a critical role in biological functions,and abnormal pH values are related to various diseases.Here,we report on an intracellular pH sensor AgInS_(2)(AIS)/ZnS quantum dots(QDs)that show long fluorescence lifetimes of hundreds of nanoseconds and low toxicity.Fluorescence lifetime imaging microscopy(FLIM)combined with AIS/ZnS QDs is used for the imaging of live cells in different pH buffers and different cell lines.The FLIM images of AIS/ZnS QDs in live cells demonstrate different intracellular pH values in different regions,such as in lysosomes or cytoplasm.This method can also distinguish cancer cells from normal cells,and the fluorescence lifetime difference of the AIS/ZnS QDs between the two types of cells is 100±7 ns.Most importantly,the exfoliated cervical cells from 20 patients are investigated using FLIM combined with AIS/ZnS QDs.The lifetime difference value between the normal and cervical cancer(CC)groups is 115±9 ns,and the difference between the normal and the precancerous lesion group is 64±9 ns.For the first time,the noninvasive method has been used for cervical cancer screening,and it has shown great improvement in sensitivity compared with a clinical conventional cytology examination. 展开更多
关键词 AIS/ZnS quantum dots fluorescence lifetime imaging microscopy intracellular pH sensing cervical cancer screening NONINVASIVE
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Immediate regularization of measure-type population densities in a two-dimensional chemotaxis systemwith signal consumption
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作者 yulan wang Michael Winkler Zhaoyin Xiang 《Science China Mathematics》 SCIE CSCD 2021年第4期725-746,共22页
This paper deals with the Neumann initial-boundary value problem for a classical chemotaxis system with signal consumption in a disk.In contrast to previous studies which have established a comprehensive theory of glo... This paper deals with the Neumann initial-boundary value problem for a classical chemotaxis system with signal consumption in a disk.In contrast to previous studies which have established a comprehensive theory of global classical solutions for suitably regular nonnegative initial data,the focus in the present work is on the question to which extent initially prescribed singularities can be regularized despite the presence of the nonlinear cross-diffusive interaction.The main result in this paper asserts that at least in the framework of radial solutions immediate regularization occurs under an essentially optimal condition on the initial distribution of the population density.More precisely,it will turn out that for any radially symmetric initial data belonging to the space of regular signed Borel measures for the population density and to L^(2) for the signal density,there exists a classical solution to the Neumann initial-boundary value problem,which is smooth and approaches the given initial data in an appropriate trace sense. 展开更多
关键词 CHEMOTAXIS measure valued initial data instantaneous smoothing global existence
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