In this paper, a numerical solution for a system of singularly perturbed convection-diffusion equations is studied. The system is discretized by the Il’in scheme on a uniform mesh. It is proved that the numerical sch...In this paper, a numerical solution for a system of singularly perturbed convection-diffusion equations is studied. The system is discretized by the Il’in scheme on a uniform mesh. It is proved that the numerical scheme has first order accuracy, which is uniform with respect to the perturbation parameters. We show that the condition number of the discrete linear system obtained from applying the Il’in scheme for a system of singularly perturbed convection-diffusion equations is O(N) and the relevant coefficient matrix is well conditioned in comparison with the matrices obtained from applying upwind finite difference schemes on this problem. Numerical results confirm the theory of the method.展开更多
Background:Interleukin 13 receptor subunit alpha 2(IL13RA2)plays an essential role in the progression of many cancers.However,the role of IL13RA2 in infantile haemangioma(IH)is still unknown.Materials and Methods:IL13...Background:Interleukin 13 receptor subunit alpha 2(IL13RA2)plays an essential role in the progression of many cancers.However,the role of IL13RA2 in infantile haemangioma(IH)is still unknown.Materials and Methods:IL13RA2 expression in IH tissues was analyzed using western blot,qRT-PCR,and immunofluorescence.The role of IL13RA2 in haemangioma-derived endothelial cells(HemECs)was determined following knockdown or overexpression of IL13RA2 using CCK-8,colony formation,apoptosis,wound healing,tubule formation,Transwell,and western blot.Results:IL13RA2 expression was upregulated in IH tissues.IL13RA2 overexpression promoted proliferation,migration,and invasion of HemECs and induced glycolysis,which was confirmed with a glycolysis inhibitor.Specifically,IL13RA2 interacted withβ-catenin and activated the Wnt/β-catenin pathway in HemECs,which were involved in the above-mentioned effects of IL13RA2.Conclusions:These findings revealed that targeting IL13RA2 is a potential therapeutic approach for IH.展开更多
目的探讨IL18RAP基因与肝癌患者预后和肿瘤微环境中CD8^(+)T细胞浸润的相关性以及作为肿瘤标志物的可能性。方法癌症基因组图谱(The Cancer Genome Atlas,TCGA)用于评估IL18RAP基因在肝癌中的表达。单因素Cox分析、多因素COX分析和生存...目的探讨IL18RAP基因与肝癌患者预后和肿瘤微环境中CD8^(+)T细胞浸润的相关性以及作为肿瘤标志物的可能性。方法癌症基因组图谱(The Cancer Genome Atlas,TCGA)用于评估IL18RAP基因在肝癌中的表达。单因素Cox分析、多因素COX分析和生存分析揭示IL18RAP基因的预后价值。KEGG、GO和Hallmark富集分析寻找与IL18RAP基因相关的功能通路。免疫浸润分析探究IL18RAP基因与22种免疫细胞浸润的关系。通过单细胞测序数据库与免疫组化验证IL18RAP基因与CD8^(+)T细胞浸润的相关性。结果IL18RAP在肝癌组织中表达下调,其低表达与肝癌患者的不良预后相关。功能富集分析显示IL18RAP的表达与免疫功能通路相关。免疫浸润、单细胞测序和免疫组化表明IL18RAP高表达于CD8^(+)T细胞。结论IL18RAP低表达与肝癌患者的不良预后相关,可能影响了抗肿瘤免疫的CD8^(+)T细胞。展开更多
文摘In this paper, a numerical solution for a system of singularly perturbed convection-diffusion equations is studied. The system is discretized by the Il’in scheme on a uniform mesh. It is proved that the numerical scheme has first order accuracy, which is uniform with respect to the perturbation parameters. We show that the condition number of the discrete linear system obtained from applying the Il’in scheme for a system of singularly perturbed convection-diffusion equations is O(N) and the relevant coefficient matrix is well conditioned in comparison with the matrices obtained from applying upwind finite difference schemes on this problem. Numerical results confirm the theory of the method.
文摘Background:Interleukin 13 receptor subunit alpha 2(IL13RA2)plays an essential role in the progression of many cancers.However,the role of IL13RA2 in infantile haemangioma(IH)is still unknown.Materials and Methods:IL13RA2 expression in IH tissues was analyzed using western blot,qRT-PCR,and immunofluorescence.The role of IL13RA2 in haemangioma-derived endothelial cells(HemECs)was determined following knockdown or overexpression of IL13RA2 using CCK-8,colony formation,apoptosis,wound healing,tubule formation,Transwell,and western blot.Results:IL13RA2 expression was upregulated in IH tissues.IL13RA2 overexpression promoted proliferation,migration,and invasion of HemECs and induced glycolysis,which was confirmed with a glycolysis inhibitor.Specifically,IL13RA2 interacted withβ-catenin and activated the Wnt/β-catenin pathway in HemECs,which were involved in the above-mentioned effects of IL13RA2.Conclusions:These findings revealed that targeting IL13RA2 is a potential therapeutic approach for IH.
文摘目的探讨IL18RAP基因与肝癌患者预后和肿瘤微环境中CD8^(+)T细胞浸润的相关性以及作为肿瘤标志物的可能性。方法癌症基因组图谱(The Cancer Genome Atlas,TCGA)用于评估IL18RAP基因在肝癌中的表达。单因素Cox分析、多因素COX分析和生存分析揭示IL18RAP基因的预后价值。KEGG、GO和Hallmark富集分析寻找与IL18RAP基因相关的功能通路。免疫浸润分析探究IL18RAP基因与22种免疫细胞浸润的关系。通过单细胞测序数据库与免疫组化验证IL18RAP基因与CD8^(+)T细胞浸润的相关性。结果IL18RAP在肝癌组织中表达下调,其低表达与肝癌患者的不良预后相关。功能富集分析显示IL18RAP的表达与免疫功能通路相关。免疫浸润、单细胞测序和免疫组化表明IL18RAP高表达于CD8^(+)T细胞。结论IL18RAP低表达与肝癌患者的不良预后相关,可能影响了抗肿瘤免疫的CD8^(+)T细胞。