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Contact Finite Determinacy of Relative Map Germs 被引量:2
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作者 CHEN LIANG SUN WEI-ZHI PEI DONG-HE 《Communications in Mathematical Research》 CSCD 2010年第1期1-6,共6页
The strong contact finite determinacy of relative map germs is studied by means of classical singularity theory. We first give the definition of a strong relative contact equivalence (or KS,T equivalence) and then p... The strong contact finite determinacy of relative map germs is studied by means of classical singularity theory. We first give the definition of a strong relative contact equivalence (or KS,T equivalence) and then prove two theorems which can be used to distinguish the contact finite determinacy of relative map germs, that is, f is finite determined relative to KS,T if and only if there exists a positive integer k, such that M^5(n)ε(S;n)p ∩→ TKs,T(f). 展开更多
关键词 KS t equivalent the tangent space of an orbit relative deformation finite determined relative to KS t
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Fixed Point Theorems in Intuitionistics Fuzzy Metric Spaces Using Implicit Relations
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作者 Arun Garg Zaheer K. Ansari Pawan Kumar 《Applied Mathematics》 2016年第6期569-577,共9页
In this paper, we proved some fixed point theorems in intuitionistic fuzzy metric spaces applying the properties of weakly compatible mapping and satisfying the concept of implicit relations for t norms and t connorms.
关键词 Intuitionistic Fuzzy Metric Spaces Weakly Compatible Mapping Implicit Relations for t Norms and t Connorms
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Protective Effect of Norcantharidin on Collagen-Induced Arthritis Rats 被引量:9
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作者 SHEN Hong-bo HUO Ze-jun +4 位作者 BAI Yun-jing HE Xiao-juan LI Chang-hong ZHAO Yu-kun GUO Qing-qing 《Chinese Journal of Integrative Medicine》 SCIE CAS CSCD 2018年第4期278-283,共6页
Objective: To observe the effect of norcantharidin(NCTD) on collagen-induced arthritis(CIA) rats. Methods: Sixty Sprague-Dawley(SD) rats were randomly divided into 6 groups(n=10): normal group, CIA model gr... Objective: To observe the effect of norcantharidin(NCTD) on collagen-induced arthritis(CIA) rats. Methods: Sixty Sprague-Dawley(SD) rats were randomly divided into 6 groups(n=10): normal group, CIA model group(model group), NCTD low-dose group [1.35 mg/(kg·d)], NCTD middle-dose group [2.7 mg/(kg·d)], NCTD high-dose group [5.4 mg/(kg·d)] and methotrexate(MTX) group [1.8 mg/(kg/w)]. Anesthetized rats were sacrificed by luxation of cervical vertebra after 4 weeks of administration. The arthritis scores were evaluated twice a week. The pathological changes in the ankle joints of rats were observed by hematoxylin-eosin(H&E) staining. The serum levels of interleukin(IL) 1β, IL-6, tumor necrosis factor(TNF)-α, vascular endothelial growth factor(VEGF), IL-17 and transform growth factor(TGF) β were detected by enzyme linked immunosorbent assay(ELISA). The mRNA expression of retinoid-related orphan nuclear receptor γ t(ROR γ t) and forkhead box P3(Foxp3) in peripheral blood lymphocytes were confirmed by real-time polymerase chain reaction. Results: MTX and high-dose NCTD not only decreased the arthritis scores but also alleviated the pathological changes in CIA rats' ankle joints compared with the model group(P〈0.05 or P〈0.01). All doses of NCTD significantly inhibited the serum levels of IL-6, IL-17 and TNF-α in CIA rats(P〈0.05). Only middle-and high-dose of NCTD prominently decreased serum IL-1β and TGF-β levels of CIA rats(P〈0.05). However, NCTD has no effect on vascular endothelial growth factor(VEGF) level in CIA rats. The Foxp3 mRNA expression in all NCTD groups were increased significantly than in the model group(P〈0.05). The mRNA expression of RORγt in NCTD high-dose group was decreased apparently in comparison with the model group(P〈0.05). Conclusion: NCTD showed therapeutic effect on CIA rats by inhibition of cytokines and regulation of Th17/Treg cells. 展开更多
关键词 NORCANtHARIDIN collagen-induced arthritis CYtOKINE tH17/tREG forkhead box P3 retinoid related orphan nuclear receptor γt
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