The generalized Fermat type difference equations

Kai Liu,Lei Ma,Xiaoyang Zhai 대한수학회 2018 대한수학회보 Vol.55 No.6

This paper is to consider the generalized Fermat difference equations with different types which ever considered by Li \cite{li}, Ishizaki and Korhonen \cite{IK}, Zhang \cite{zhangjie} and Liu \cite{liuk4,11,1177,liu}, respectively. Some new observations and results on these equations will be given.

Sesquiterpenoids with Various Carbocyclic Skeletons from the Flowers of <i>Chrysanthemum indicum</i>

Liu, Lei-Lei,Ha, Thi Kim Quy,Ha, Wei,Oh, Won Keun,Yang, Jun-Li,Shi, Yan-Ping American Society of Pharmacognosy 2017 Journal of natural products Vol.80 No.2

<P>A phytochemical investigation of the flowers of Chrysanthemum indicum yielded sesquiterpenoids 1-25 with various carbocyclic skeletons, including 10 new (1-10) and 15 known (11-25) analogues. The structures were elucidated via their physical data, while the absolute configuration of compounds 6, 8, and 10 was assessed via electronic circular dichroism analysis. The evaluation of the effect of sesquiterpenoids on porcine epidemic diarrhea virus (PEDV) replication showed that compounds 1-5, 12, 14, 16, 17, 19, and 21 increased cell viability against cell death in PEDV-injected cells. Compounds 2, 12, and 17 were selected and investigated for their inhibition of proteins required for PEDV replication. Compounds 2 and 17 significantly reduced PEDV nucleocapsid and spike protein synthesis compared with azauridin as a positive control.</P>

吴昌硕篆书创作小考

刘磊磊(Lei-Lei Liu),袁暁鹏(Xiao-Peng Yuan) 한국서예학회 2023 서예학연구 Vol.42 No.-

오창석(吴昌硕)의 전서는 필법, 구성, 장법, 묵법, 필법 등의 기법이 선인과 판이하게 다른데, 전서의 새로운 모습을 만들어내는 데 성공하여 큰 성과를 거둔 배경에는 여러 가지 이유가 있을 것이다. 우선 비파(碑派)서법의 서학사상을 흡수하여 금석(金石)을 취하고 고풍스럽고 웅장한 예술양식을 추앙하였다. 둘째, 등석여(邓石如), 양기손(杨沂孙) 등의 명가를 충분히 학습하는 기초 위에서 ≪석고문(石鼓文)≫을 주요 법으로 삼는 동시에 다양한 서체를 참고하여 여러 예술을 융합하고 자신의 예술 실천을 지속적으로 풍부하게 한다. 특히, 개인 특색 있는 필기구를 사용하여 개인 스타일을 지속적으로 강화합니다. 수십 년의 노력을 통해 마침내 ‘이리(二李)’ 전서 외에 다른 필법을 개척하고 전서 예술의 또 다른 정점을 창조하여 후대의 서예 예술 발전에 심대한 영향을 미쳤습니다. Wu Changshuo's seal book is very different from its predecessors in the use of pen, structure, sealing, ink, writing rhythm and other techniques, successfully shaping the new face of seal writing, and achieving great achievements, the reasons behind it should be many, first of all, he absorbed the calligraphy ideas of the stele calligraphy, took the golden stone, and advocated the simple and strong artistic style. Secondly, on the basis of fully learning from famous artists such as Deng Shiru(邓石如) and Yang Yisun(杨沂孙), he took “Shiguwen”(石鼓文) as the main object, and at the same time drew on a variety of book styles, integrated multiple arts, and constantly enriched his artistic practice. Third, use a very personal writing instrument to constantly strengthen your personal style. Through decades of hard work, it finally opened up another way outside the “Er Li” seal book, creating another peak of seal book art, which had a far-reaching impact on the development of calligraphy art in later generations. 吴昌硕的篆书在用笔、结构、章法、墨法、书写节奏等技法上都迥异于前人,成功地塑造了篆书的新面貌,取得了巨大的成就,其背后的原因应该是多方面的,首先,他吸收了碑派书法的书学思想,取法金石,推崇古朴雄强的艺术风格。其次,在充分学习邓石如、杨沂孙等名家的基础上,以≪石鼓文≫为主要取法对象,同时借鉴多种书体,融合多门艺术,不断丰富自己的艺术实践。再次,采用极具个人特色的书写工具,不断强化个人风格。通过几十年的努力,最终于“二李”篆书之外另辟蹊径,创造了篆书艺术的又一座高峰,对后世书法艺术的发展产生了深远的影响。

MiR-886-5p Inhibition Inhibits Growth and Induces Apoptosis of MCF7 Cells

Zhang, Lei-Lei,Wu, Jiang,Liu, Qiang,Zhang, Yan,Sun, Zhu-Lei,Jing, Hong Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.4

Background and Aims: To explore the molecular mechanisms of miR-886-5p in breast cancer., we examined roles in inhibiting growth and migration of MCF-7 cells. Methods: MiR-886-5p mimics and inhibitors were used to express or inhibit MiR-886-5p, respectively, and MTT and clone formation assays were used to determine the survival and proliferation. Hoechst 33342/ PI double staining was applied to detect apoptosis. The expression of caspase-3, caspase-8, caspase-9, MT1-MMP, VEGF-C and VEGF-D was detected by Western blotting, and the levels of MMP2 and MMP9 secreted from MCF-7 cells were assessed by ELISA. MCF-7 cell migration was determined by wound healing and Transwell assays. Results: We found that the growth of MCF-7 cells was inhibited upon decreasing miR-886-5p levels. Inhibiting miR-866-5p also significantly induced apoptosis and decreased the migratory capacity of these cells. The expression of VEGF-C, VEGF-D, MT1-MMP, MMP2, and MMP9 was also found to be decreased as compared to controls. Conclusions: Our data show that downregulation of miR-886-5p expression in MCF-7 cells could significantly inhibit cell growth and migration. This might imply that inhibiting miR-886-5p could be a therapeutic strategy in breast cancer.

Prognostic Role of MicroRNA-21 in Non-small Cell Lung Cancer: a Meta-analysis

Ma, Xue-Lei,Liu, Lei,Liu, Xiao-Xiao,Li, Yun,Deng, Lei,Xiao, Zhi-Lan,Liu, Yan-Tong,Shi, Hua-Shan,Wei, Yu-Quan Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.5

Introduction: Many studies have reported that microRNA-21 (miR-21) mihght predict the survival outcome in non-small cell lung cancers (NSCLCs) but the opposite opinion has also been expressed. The aim of this study was to summarize the evidence for a prognostic role of miR-21. Materials and Methods: All the eligible studies was searched by Medline and EMBASE and patients' clinical characteristics and survival outcome were extracted. Then a meta-analysis was performed to clarify the prognostic role of the miR-21 expression in different subgroups. Results: A total of 8 eligible articles were yielded covering survival outcomes or clinical characteristics. The combined hazard ratio (HR) and 95% confidence interval (95% CI) for overall survival (OS) was 2.19 [0.76, 6.30], while the combined HR (95% CI) of Asian group for OS had a significant result, 5.49 [2.46, 12.27]. The combined HR (95% CI) for recurrence free survival or disease free survival (RFS/DFS) was 2.31 [1.52, 3.49]. Odds ratios (ORs) showed that the miR-21 expression was associated with lymph node status and histological type. Conclusion: miR-21 expression could predict the prognostic outcome of NSCLC in Asians, despite some deficiencies in the study data.

Memetic Two-echelon Vehicle Routing Optimization Based on Q Learning Theory and Differential Evolution Algorithm

Liu Dongdong,Liu Kai,Wang Feng,Han Bo,Zhao Zhengping,Tan Fuxiao,Niu Lei 보안공학연구지원센터 2016 International Journal of u- and e- Service, Scienc Vol.9 No.8

In allusion to such problems as low accuracy and long convergence time in traditional two-echelon vehicle routing optimization algorithm, a Memetic algorithm (QDEMA) based on Q learning theory and differential evolution is proposed in this article to solve above problems. Firstly, it is necessary to research the two-echelon vehicle routing optimization problem and adopt the optimal segmentation method to obtain the relatively reasonable distribution plan for the first-echelon SDVRP problem in order to accordingly determine the distribution quantity of the transfer stations; secondly, the second-echelon MDVRP distribution scheme is solved to obtain the total distance and the total number of the distribution vehicles for the two-echelon optimization problem; thirdly, in allusion to the solution of the second-echelon MDVRP distribution scheme, Q learning theory and the differential evaluation algorithm are adopted to design new Memetic algorithm in order to globally optimize MDVRP distribution scheme; finally, the simulation experiment is carried out to verify the algorithm effectiveness.

LIE TRIPLE DERIVATIONS ON FACTOR VON NEUMANN ALGEBRAS

Liu, Lei Korean Mathematical Society 2015 대한수학회보 Vol.52 No.2

Let $\mathcal{A}$ be a factor von Neumann algebra with dimension greater than 1. We prove that if a linear map ${\delta}:\mathcal{A}{\rightarrow}\mathcal{A}$ satisfies $${\delta}([[a,b],c])=[[{\delta}(a),b],c]+[[a,{\delta}(b),c]+[[a,b],{\delta}(c)]$$ for any $a,b,c{\in}\mathcal{A}$ with ab = 0 (resp. ab = P, where P is a fixed nontrivial projection of $\mathcal{A}$), then there exist an operator $T{\in}\mathcal{A}$ and a linear map $f:\mathcal{A}{\rightarrow}\mathbb{C}I$ vanishing at every second commutator [[a, b], c] with ab = 0 (resp. ab = P) such that ${\delta}(a)=aT-Ta+f(a)$ for any $a{\in}\mathcal{A}$.

Dietary Niacin Supplementation Suppressed Hepatic Lipid Accumulation in Rabbits

Liu, Lei,Li, Chunyan,Fu, Chunyan,Li, Fuchang Asian Australasian Association of Animal Productio 2016 Animal Bioscience Vol.29 No.12

An experiment was conducted to investigate the effect of niacin supplementation on hepatic lipid metabolism in rabbits. Rex Rabbits (90 d, n = 32) were allocated to two equal treatment groups: Fed basal diet (control) or fed basal diet with additional 200 mg/kg niacin supplementation (niacin). The results show that niacin significantly increased the levels of plasma adiponectin, hepatic apoprotein B and hepatic leptin receptors mRNA (p<0.05), but significantly decreased the hepatic fatty acid synthase activity and adiponectin receptor 2, insulin receptor and acetyl-CoA carboxylase mRNA levels (p<0.05). Plasma insulin had a decreasing tendency in the niacin treatment group compared with control (p = 0.067). Plasma very low density lipoproteins, leptin levels and the hepatic adiponectin receptor 1 and carnitine palmitoyl transferase 1 genes expression were not significantly altered with niacin addition to the diet (p>0.05). However, niacin treatment significantly inhibited the hepatocytes lipid accumulation compared with the control group (p<0.05). In conclusion, niacin treatment can decrease hepatic fatty acids synthesis, but does not alter fatty acids oxidation and triacylglycerol export. And this whole process attenuates lipid accumulation in liver. Besides, the hormones of insulin, leptin and adiponectin are associated with the regulation of niacin in hepatic lipid metabolism in rabbits.

Melatonin Attenuates Noise Stress-induced Gastrointestinal Motility Disorder and Gastric Stress Ulcer: Role of Gastrointestinal Hormones and Oxidative Stress in Rats

( Lei Zhang ),( Ji T Gong ),( Hu Q Zhang ),( Quan H Song ),( Guang H Xu ),( Lei Cai ),( Xiao D Tang ),( Hai F Zhang ),( Fang E Liu ),( Zhan S Jia ),( Hong W Zhang ) 대한소화기기능성질환·운동학회 2015 Journal of Neurogastroenterology and Motility (JNM Vol.21 No.2

Background/Aims There are increasing evidences for gastrointestinal motility disorder (GIMD) and gastric stress ulcer induced by noise stress. The present study was to investigate the reversed effect of melatonin on GIMD and gastric stress ulcer induced by noise stress and potential mechanism. Methods Noise stress was induced on rats, and melatonin (15 mg/kg) was administered to rats by intraperitoneal injection. Differences were assessed in gastric residual rate (GRR), small intestine propulsion rate (SPR), Guth injury score, cortisol, gastrointestinal hormones (calcitonin-gene-related peptide and motilin) and oxidative stress markers (superoxide dismutase and malondialde hyde) in blood plasma as well as gastric mucosa homogenate with or without melatonin. The pathological examination of gastric mucosa was also performed. Results The GRR and SPR were improved by noise stress compared with control (P < 0.05). The pathological examination and Guth injury score revealed gastric stress ulcer. Moreover, the levels of cortisol, motilin and malondialdehyde in blood plasma and malondialdehyde in gastric mucosa homogenate were increased by noise stress (P < 0.05). CGRP and superoxide dismutase activity in both of blood plasma and gastric mucosa homogenate were significantly decreased (P< 0.05). Furthermore, melatonin reversed changes in GRR, SPR, pathological examination, Guth injury score, cortisol, motilin, CGRP, superoxide dismutase activity and malondialdehyde (P < 0.05). Conclusions Melatonin is effective in reversing the GIMD and gastric stress ulcer induced by noise stress. The underlying mechanism may be involved in oxidative stress and gastrointestinal hormones. (J Neurogastroenterol Motil 2015;21:189-199)

Catalytic effects of calcium and potassium on a curved char surface in fuel reburning: A first-principles study on the adsorption of nitric oxide on single-wall carbon nanotubes with metal decoration

Liu, Lei,Jin, Jing,Hou, Fengxiao,Li, Shengjuan,Lee, Chang-Ha Pergamon Press 2017 Energy Vol.125 No.-

<P><B>Abstract</B></P> <P>To investigate the role of a curved char surface in the nitric oxide (NO)-char reaction, single-wall carbon nanotubes (SWCNTs) were proposed as a model for simulating the curved char surface in first-principles calculations. The effect of calcium and potassium decoration on the adsorption of NO was compared for SWCNTs and graphene, the latter of which represented a flat char surface. The contribution of a curved surface to the NO-char reaction was insignificant in the absence of metals, as the binding energy of NO on pure SWCNTs was only 13% of that on pure graphene. In contrast, when calcium or potassium was present, NO adsorption on the curved surface became significant as the binding energies of NO on calcium- or potassium-decorated SWCNTs increased to 72% and 18% of those on the corresponding decorated graphene surfaces, respectively. The catalytic effect of calcium and potassium was attributed to electron transfer and backdonation between the 4s- and 3d-orbitals of the metal atoms and the NO molecule. Thus, the studies into NO adsorption on flat and curved char surfaces render it possible to determine the degree of catalytic effect of these two metals on the char surface during fuel reburning.</P> <P><B>Highlights</B></P> <P> <UL> <LI> SWCNTs were proposed to simulate the curved char surface in the fuel reburning. </LI> <LI> The catalytic effects of Ca and K were studied by Ca- or K-decorated SWCNTs. </LI> <LI> Without Ca or K, the binding energy of NO on curved char surface was trivial. </LI> <LI> When Ca or K was present, NO adsorption on the curved surface became significant. </LI> <LI> Electrons of Ca and K in 4s- and 3d-orbitals transferred to the NO molecule. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>