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Uniqueness of meromorphic solutions of a certain type of difference equations
Jun-Fan Chen,Shu-Qing Lin 대한수학회 2022 대한수학회보 Vol.59 No.4
In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions $f(z)$ and $g(z)$ of the following complex difference equation $$A_{1}(z)f(z+1)+A_{0}(z)f(z)=F(z)e^{\alpha(z)}$$ when they share 0, $\infty$ CM, where $A_{1}(z),$ $A_{0}(z),$ $F(z)$ are non-zero polynomials, $\alpha(z)$ is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.
Chen, Ye-Qing,Yang, Guo-Tao,Luo, Jian-Yi,Yang, Ying-Shu,Zeng, Qing-Guang,Jeong, Jung Hyun American Scientific Publishers 2016 Journal of nanoscience and nanotechnology Vol.16 No.4
<P>Metal tungstates, expressed by the general formula of MWO4, have important properties and applications in photoluminescence, microwave applications, optical fibers, scintillator materials, humidity sensors, magnetic properties, and catalysts. In this paper, we report a successful synthesis of CaWO4: Eu3+ crystals with various morphologies in mild hydrothermal conditions with surfacntant including sodium citrate, CTAB, PEG and citrate acid (CA). The formation of the crystals are strongly dependent on the employment of surfactant. The surfactant concentration has been found significant influence in the resulting morphologies due to different properties of each one. Extensive characterization have been performed by using X-ray diffraction (XRD), field emission scanning electron microscope (FE-SEM) in search of the formation mechanism of multi-morphological CaWO4: Eu3+ crystals. The growth mechanism of monodispersed CaWO4: Eu3+ crystal are proposed. And the photoluminescence properties were investigated.</P>
( Chen Chen ),( Ming Zhong Sun ),( Shu Qing Liu ),( Dong Mei Yeh ),( Li Jun Yu ),( Yang Song ),( Lin Lin Gong ),( Li Hong Hao ),( Jun Hu ),( Shu Juan Shao ) 생화학분자생물학회 (구 한국생화학분자생물학회) 2010 BMB Reports Vol.43 No.8
Smad4 is involved in cancer progression and metastasis. Using a pair of human syngeneic epithelial ovarian cancer cells with low (HO-8910) and high (HO-8910PM) metastatic abilities, we aimed to reveal the role of Smad4 in ovarian cancer metastasis in vitro. Smad4 was down-regulated in HO-8910PM cell line relative to HO-8910 by implicating Smad4 was probably a potential tumor suppressor gene for ovarian cancer. Re-expression of Smad4 decreased the migration ability and inhibited the invasion capacity of HO-8910PM, while promoted the cell adhesion capacity for HO-8910PM. The stable expression of Smad4 increased the expression of E-cadherin, reduced the expression of plasminogen activator inhibitor-1 (PAI-1) and slightly down-regulated the expression of VEGF. Smad4 suppresses human ovarian cancer cell metastasis potential through its effect on the expressions of PAI-1, E-cadherin and VEGF. Results from current work implicate Smad4 might suppress the invasion and metastasis of human ovarian tumor cells through a TGF-β/Smad-mediated pathway. [BMB reports 2010; 43(8): 554-560]
DNA Repair Gene ERCC1 and XPD Polymorphisms Predict Glioma Susceptibility and Prognosis
Chen, Da-Qing,Yao, Dong-Xiao,Zhao, Hong-Yang,Yang, Shu-Juan Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.6
Aims: We conducted a case-control study in a Chinese population to clarify the association between polymorphisms in ERCC1 and XPD and susceptibility and survival of glioma. Methods: A total of 393 cases and 410 controls were selected from March 2007 to December 2011. Genotyping of ERCC1 and XPD was conducted by TaqMan assays using the ABI Prism 7911HT Sequence Detection System. All analyses were performed using the STATA statistical package. Results: Polymorphisms in ERCC1 118C/T, ERCC1 8092C/A and XPD Asp312Asn showed no statistically significant difference between glioma cases and controls. However, individuals with the XPD 751Gln/Gln genotype had an increased risk of developing glioma compared with those with the Lys/Lys genotype (adjusted OR=1.64, 95% CI: 1.06-2.89). The ERCC1 118T/T genotype was associated with significantly higher median survival than the ERCC1 C/C genotype (HR=0.67, 95%CI=0.35-0.96). In addition, individuals with XPD 751Gln/Gln had a lower median survival time than XPD Lys/Lys carriers (HR=0.54, 95%CI=0.37-0.93). Conclusion: In conclusion, we observed that the XPD 751Gln/Gln genotype is associated with glioma susceptibility, and ERCC1 118 T/T and XPD 751Gln/Gln genotypes confer a significantly better prognosis.
Synthesis and In Vitro Cytotoxicity of Cis-[Pt(NH3)(NH2OH)Cl2]
Qing-Song Ye,Xi-Zhu Chen,Yao Yu,Qiao-Wen Chang,Shu-Qian Hou,Wei-Ping Liu 대한약학회 2010 Archives of Pharmacal Research Vol.33 No.6
A novel mixed NH3/NH2OH platinum(II) complex cis-[Pt(NH3)(NH2OH)Cl2] was synthesized and characterized by elemental analysis, FAB-MS, FT-IR and 1H NMR spectroscopy. This complex was determined to have a good water-solubility and satisfactory stability. The pertinent complex was evaluated for its in vitro cytotoxicity against 3AO, HCT-116, LNcap, A549/ATCC and SGC-7901 human carcinoma cell lines. It shows appreciable cytotoxic activity that is comparable with cisplatin and is much more active than carboplatin.
ON THE EXISTENCE OF SOLUTIONS OF FERMAT-TYPE DIFFERENTIAL-DIFFERENCE EQUATIONS
Chen, Jun-Fan,Lin, Shu-Qing Korean Mathematical Society 2021 대한수학회보 Vol.58 No.4
We investigate the non-existence of finite order transcendental entire solutions of Fermat-type differential-difference equations [f(z)f'(z)]<sup>n</sup> + P<sup>2</sup>(z)f<sup>m</sup>(z + 𝜂) = Q(z) and [f(z)f'(z)]<sup>n</sup> + P(z)[∆<sub>𝜂</sub>f(z)]<sup>m</sup> = Q(z), where P(z) and Q(z) are non-zero polynomials, m and n are positive integers, and 𝜂 ∈ ℂ \ {0}. In addition, we discuss transcendental entire solutions of finite order of the following Fermat-type differential-difference equation P<sup>2</sup>(z) [f<sup>(k)</sup>(z)]<sup>2</sup> + [αf(z + 𝜂) - 𝛽f(z)]<sup>2</sup> = e<sup>r(z)</sup>, where $P(z){\not\equiv}0$ is a polynomial, r(z) is a non-constant polynomial, α ≠ 0 and 𝛽 are constants, k is a positive integer, and 𝜂 ∈ ℂ \ {0}. Our results generalize some previous results.
Dose-Dependent Associations between Wine Drinking and Breast Cancer Risk - Meta-Analysis Findings
Chen, Jia-Yan,Zhu, Hong-Cheng,Guo, Qing,Shu, Zheng,Bao, Xu-Hui,Sun, Feng,Qin, Qin,Yang, Xi,Zhang, Chi,Cheng, Hong-Yan,Sun, Xin-Chen Asian Pacific Journal of Cancer Prevention 2016 Asian Pacific journal of cancer prevention Vol.17 No.3
Purpose: To investigate any potential association between wine and breast cancer risk. Materials and Methods: We quantitatively assessed associations by conducting a meta-analysis based on evidence from observational studies. In May 2014, we performed electronic searches in PubMed, EmBase and the Cochrane Library to identify studies examining the effect of wine drinking on breast cancer incidence. The relative risk (RR) or odds ratio (OR) were used to measure any such association. Results: The analysis was further stratified by confounding factors that could influence the results. A total of twenty-six studies (eight case-control and eighteen cohort studies) involving 21,149 cases were included in our meta-analysis. Our study demonstrated that wine drinking was associated with breast cancer risk. A 36% increase in breast cancer risk was observed across overall studies based on the highest versus lowest model, with a combined RR of 1.0059 (95%CI 0.97-1.05) in dose-response analysis. However, 5 g/d ethanol from wine seemed to have protective value from our non-linear model. Conclusions: Our findings indicate that wine drinking is associated with breast cancer risk in a dose-dependent manner. High consumption of wine contributes to breast cancer risk with protection exerted by low doses. Further investigations are needed for clarification.
Li, Shu-cai,Wang, Jian-hua,Chen, Wei-zhong,Li, Li-ping,Zhang, Qian-qing,He, Peng Techno-Press 2016 Geomechanics & engineering Vol.11 No.2
The stability of surrounding rock will be poor when the tunnel is excavated through nearly horizontal stratum. In this paper, the instability mechanism of local nearly horizontal stratum in super-large section and deep buried tunnel is revealed by the analysis of the macro failure and micro fracture. A structural model is proposed to explain the mechanics of surrounding rock collapse under the action of stress redistribution and shed light on the macroscopic analytical approach of the stability of surrounding rock. Then, some highly effective formulas applied in the tunnel engineering are developed according to the theory of mixed-mode micro fracture. And well-documented field case is made to demonstrate the effectiveness and accuracy of the proposed analytical methods of mixed-mode fracture. Meanwhile, in order to make the more accurate judgment about yield failure of rock mass, a series of comprehensive failure criteria are formed. In addition, the relationship between the nonlinear failure criterion and $K_I$ and $K_{II}$ of micro fracture is established to make the surrounding rock failure criterion more comprehensive and accurate. Further, the influence of the parameters related to the tension-shear mixed-mode fracture and compression-shear mixed-mode fracture on the propagation of rock crack is analyzed. Results show that ${\sigma}_3$ changes linearly with the change of ${\sigma}_1$. And the change rate is related to ${\beta}$, angle between the cracks and ${\sigma}_1$. The proposed simple analytical approach is economical and efficient, and suitable for the analysis of local nearly horizontal stratum in super-large section and deep buried tunnel.
Yu Qing,Wu Li-bin,Zhang Fan,Wei Xiao-tong,Chen Pian-pian,Wang Shuai-ya,Cai Mei-yi,Shu Qi,Li Liao-yuan,Wu Zi-jian,Cai Rong-lin,Hu Ling 사단법인약침학회 2021 Journal of Acupuncture & Meridian Studies Vol.14 No.6
Background: Myocardial ischemia reperfusion injury (MIRI) is an important mechanism of post-myocardial infarction injury and a main cause of death in patients with ischemic heart disease. Electroacupuncture (EA) pretreatment is effective for the prevention and treatment of MIRI, but mechanisms mediating the effects of cardiovascular disease EA treatments remain unclear. Objectives: To determine whether the lateral hypothalamus (LHA) and the cerebellar fastigial nucleus (FN) are involved in the protective effects of EA stimulation on MIRI. Methods: EA pretreatment was performed for 7 days before the establishment of the MIRI model. ST-segment changes on electrocardiograms were recorded and the Curtis–Walker arrhythmia score was used to evaluate changes in reperfusion injury. Hematoxylin–eosin staining was applied to evaluate the pathological and morphological changes in myocardial tissue. c-fos expression in the LHA and FN was determined by immunofluorescence staining. Glutamic (Glu) and γ-Aminobutyric acid (GABA) levels were measured using a high-performance liquid chromatography-electrochemical method. Results: EA pretreatment reduced ST-segment elevation, arrhythmia scores, and morphological changes in MIRI myocardial cells in rats, and decreased the c-fos protein expression in LHA/FN nuclei. MIRI was associated with an imbalance between GABA and Glu levels, whereas EA pretreatment increased GABA levels and decreased Glu levels in the LHA/FN. Conclusion: FN and LHA are involved in the EA-mediated attenuation of MIRI. Pretreatment with EA plays a protective role in the myocardium by regulating Glu and GABA release in the LHA and FN.