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STABILITY OF POSITIVE STEADY-STATE SOLUTIONS IN A DELAYED LOTKA-VOLTERRA DIFFUSION SYSTEM
Yan, Xiang-Ping,Zhang, Cun-Hua Korean Mathematical Society 2012 대한수학회지 Vol.49 No.4
This paper considers the stability of positive steady-state solutions bifurcating from the trivial solution in a delayed Lotka-Volterra two-species predator-prey diffusion system with a discrete delay and subject to the homogeneous Dirichlet boundary conditions on a general bounded open spatial domain with smooth boundary. The existence, uniqueness and asymptotic expressions of small positive steady-sate solutions bifurcating from the trivial solution are given by using the implicit function theorem. By regarding the time delay as the bifurcation parameter and analyzing in detail the eigenvalue problems of system at the positive steady-state solutions, the asymptotic stability of bifurcating steady-state solutions is studied. It is demonstrated that the bifurcating steady-state solutions are asymptotically stable when the delay is less than a certain critical value and is unstable when the delay is greater than this critical value and the system under consideration can undergo a Hopf bifurcation at the bifurcating steady-state solutions when the delay crosses through a sequence of critical values.
Stability of positive steady-state solutions in a delayed Lotka-Volterra diffusion system
Xiang-Ping Yan,Cun-Hua Zhang 대한수학회 2012 대한수학회지 Vol.49 No.4
This paper considers the stability of positive steady-state so-lutions bifurcating from the trivial solution in a delayed Lotka-Volterra two-species predator-prey diffusion system with a discrete delay and sub-ject to the homogeneous Dirichlet boundary conditions on a general boun-ded open spatial domain with smooth boundary. The existence, unique-ness and asymptotic expressions of small positive steady-sate solutions bifurcating from the trivial solution are given by using the implicit func-tion theorem. By regarding the time delay as the bifurcation parameter and analyzing in detail the eigenvalue problems of system at the positive steady-state solutions, the asymptotic stability of bifurcating steady-state solutions is studied. It is demonstrated that the bifurcating steady-state solutions are asymptotically stable when the delay is less than a certain critical value and is unstable when the delay is greater than this critical value and the system under consideration can undergo a Hopf bifurcation at the bifurcating steady-state solutions when the delay crosses through a sequence of critical values.
Luo, Li-Ping,Han, Bin,Yu, Xiao-Ping,Chen, Xiang-Yan,Zhou, Jie,Chen, Wei,Zhu, Yan-Feng,Peng, Xiao-Li,Zou, Qiang,Li, Sui-Yan Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.15
Background: Increasing evidence from animal, epidemiological and clinical investigations suggest that dietary anthocyanins have potential to prevent chronic diseases, including cancers. It is also noteworthy that human epidermal growth factor receptor 2 (ErbB2) protein overexpression or ErbB2 gene amplification has been included as an indicator for metastasis and higher risk of recurrence for breast cancer. Materials and Methods: The present experiments investigated the anti-metastasis effects of black rice anthocyanins (BRACs) on ErbB2 positive breast cancer cells in vivo and in vitro. Results: Oral administration of BRACs (150 mg/kg/day) reduced transplanted tumor growth, inhibited pulmonary metastasis, and decreased lung tumor nodules in BALB/c nude mice bearing ErbB2 positive breast cancer cell MDA-MB-453 xenografts. The capacity for migration, adhesion, motility and invasion was also inhibited by BRACs in MDA-MB-453 cells in a concentration dependent manner, accompanied by decreased activity of a transfer promoting factor, urokinase-type plasminogen activator (u-PA). Conclusions: Together, our results indicated that BRACs possess anti-metastasis potential against ErbB2 positive human breast cancer cells in vivo and in vitro through inhibition of metastasis promoting molecules.
Zhan, Yi-Ping,Huang, Xin-En,Cao, Jie,Lu, Yan-Yan,Wu, Xue-Yan,Liu, Jin,Xu, Xia,Xu, Lin,Xiang, Jin,Ye, Li-Hong Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.9
Objectives: To assess the efficacy, side effects, and the impact on quality of life with $Qinin^{(R)}$ (Cantharidin sodium) injection combined with chemotherapy for gastric cancer patients. Method: A consecutive cohort of 70 patients were divided into two groups: experimental group with cantharidin sodium injection combined with chemotherapy, while the control group received chemotherapy alone. After more than two courses of treatment, efficacy, quality of life and side effects were evaluated. Results: The response rate of experimental group was not significantly different from that of the control group (P>0.05), but differences were significant in clinical benefit response and KPS score. In addition, gastrointestinal reactions and the incidence of leukopenia were lower than in the control group (P<0.05). Conclusions: $Qinin^{(R)}$ (Cantharidin sodium) injection combined with chemotherapy enhances clinical benefit response, improving quality of life of gastric cancer patients and reducing side effects of chemotherapy. Thus $Qinin^{(R)}$ (Cantharidin sodium) injection deserves to be further investigated in randomized control clinical trails.
Zhan, Yi-Ping,Huang, Xin-En,Cao, Jie,Lu, Yan-Yan,Wu, Xue-Yan,Liu, Jin,Xu, Xia,Xiang, Jin,Ye, Li-Hong Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.10
Objective: To observe efficacy and side effects, as well as the impact on quality of life, of Kanglaite$^{(R)}$ (Coix Seed Oil) injections combined with chemotherapy in the treatment of advanced gastric cancer patients. Method: A consecutive cohort of 60 patients were divided into two groups: the experimental group receiving Kanglaite$^{(R)}$ Injection combined with chemotherapy and the control group with chemotherapy alone. After more than two courses of treatment, efficacy, quality of life and side effects were evaluated. Results: The response rate and KPS score of experimental group were significantly improved as compared with those of the control group (P<0.05). In addition, gastrointestinal reactions and bone marrow suppression were significantly lower than in the control group (P<0.05). Conclusions: Kanglaite$^{(R)}$ Injection enhanced efficacy and reduced the side effects of chemotherapy, improving quality of life of gastric cancer patients; use of Kanglaite$^{(R)}$ injections deserves to be further investigated in randomized control clinical trails.
Yan, Feng,Bai, Li-Ping,Gao, Hua,Zhu, Chang-Ming,Lin, Li,Kang, Xiang-Peng Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.6
Aim: To investigate signaling pathways for reversal of EGF-mediated multi-drug resistance (MDR) in hepatocellular carcinoma (HCC) models. Materials and Methods: HCC MDR cell strain HepG2/adriamycin (ADM) and SMMC7721/ADM models were established using a method of exposure to medium with ADM between low and high concentration with gradually increasing concentration. Drug sensitivity and reversal of multi-drug resistance by EGF were determined and the cell cycle distribution and apoptosis were analyzed by flow cytometry. Phosphorylation of ERK1, ERK2, ERK5 and expression of Bim were detected by Western blotting. Results: The results showed that HepG2/ADM and SMMC7721/ADM cells were resistant not only to ADM, but also to multiple anticancer drugs. When used alone, EGF had no anti-tumor activity in HepG2/ADM and SMMC7721/ADM cells in vitro, while it increased the cytotoxicity of ADM. EGF induced cell apoptosis and G0/G1 phase cell cycle arrest in HepG2/ADM And SMMC7721/ADM cells, while enhancing activity of p-ERKs and up-regulated expression of BimEL. Conclusions: EGF might enhance the chemosensitivity of HepG2/ADM and SMMC7721/ADM cells via up-regulating p-ERKs and BimEL protein.
Yan, Ping,Li, Yu-Hong,Tang, Zhi-Jiao,Shu, Xiang,Liu, Xia Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.20
Background: Increasing evidence suggests that stromal monocarboxylate transporter 4 (MCT4) and carbonic anhydrase IX (CA IX) may play key roles in tumor development. However, their clinical value remains largely unexplored in gastric cancer (GC). The present study aimed to determine clinicopathological significance and prognostic values of stromal MCT4 and CA IX in GC. Materials and Methods: Specimens from 143 GC patients were immunohistochemically stained using polyclonal anti-MCT4 and anti-CA IX antibodies. Expression was correlated with patient clinicopathologic characteristics and survival data. Results: High stromal MCT4 expression was detected in 72 of 143 (50.3%) GCs and high CA IX in 74 (51.7%). Both high stromal MCT4 and CA IX were correlated with advanced TNM stage (p=0.000; p=0.000). High CA IX expression was positively related to depth of invasion (p=0.022) and positive lymph nodes (p=0.002) as well. Survival analysis indicated high expression of stromal MCT4 to be an independent factor in predicting poor overall survival (OS) (HR and 95%CI=1.962, 1.032-3.729, p=0.040) and disease free survival (DFS) (HR and 95%CI=2.081, 1.158-3.741, p=0.014) of GC patients. However, high CA IX expression exhibited no significant predictive value. Conclusions: These findings suggest that high expression of stromal MCT4 and CA IX proteins is significantly correlated with GC progression. High stromal MCT4 heralds worse outcome of GC patient, suggesting a novel candidate prognostic marker and therapeutic target.
Yan Xu,Guang-xiang Lu,Li-jie Jiang,Gui-Ping Yi 전력전자학회 2015 JOURNAL OF POWER ELECTRONICS Vol.15 No.2
This paper analyses the harmonic pollution to power grids caused by several high-power rectifiers, summarizes the requirements for rectifiers in suppressing grid-side current harmonics and optimizes a new-type of current source PWM rectifier with a hybrid switch. The rectifier with a hybrid switch boasts significant current characteristics and cost advantages in the high-power area. To further enhance the working frequency of the current source rectifier with a hybrid switch for suppressing grid-side harmonics and reducing the inductance size, this paper proposes an optimal control strategy based on space vector. It also verifies that the optimal control strategy based on space vector can reduce the total harmonic distortion of the grid-side current of the rectifier with a hybrid switch via circuit simulation and experimental results.
( Xiang E Long ),( Zhao Hui Gong ),( Lin Pan ),( Zhi Wei Zhong ),( Yan Ping Le ),( Qiong Liu ),( Jun Ming Guo ),( Jiu Chang Zhong ) 한국생화학분자생물학회 (구 한국생화학회) 2010 BMB Reports Vol.43 No.4
Cyclin-dependent kinase 2 (CDK2) is a member of serine/threonine protein kinases, which initiates the principal transitions of the eukaryotic cell cycle and is a promising target for cancer therapy. The present study was designed to inhibit cdk2 gene expression to induce cell cycle arrest and cell proliferation suppression. Here, we constructed a series of RNA interference (RNAi) plasmids which can successfully express small interference RNA (siRNA) in the transfected human cells. The results showed that the RNAi plasmids containing the coding sequences for siRNAs down-regulated the cdk2 gene expression in human cancer cells at the mRNA and the protein levels. Furthermore, we found that the cell cycle was arrested at G0G1 phases and the cell proliferation was inhibited by different siRNAs. These results demonstrate that suppression of CDK2 activity by RNAi may be an effective strategy for gene therapy in human cancers. [BMB reports 2010; 43(4): 291-296]
Xu, Yan,Lu, Guang-Xiang,Jiang, Li-Jie,Yi, Gui-Ping The Korean Institute of Power Electronics 2015 JOURNAL OF POWER ELECTRONICS Vol.15 No.2
This paper analyses the harmonic pollution to power grids caused by several high-power rectifiers, summarizes the requirements for rectifiers in suppressing grid-side current harmonics and optimizes a new-type of current source PWM rectifier with a hybrid switch. The rectifier with a hybrid switch boasts significant current characteristics and cost advantages in the high-power area. To further enhance the working frequency of the current source rectifier with a hybrid switch for suppressing grid-side harmonics and reducing the inductance size, this paper proposes an optimal control strategy based on space vector. It also verifies that the optimal control strategy based on space vector can reduce the total harmonic distortion of the grid-side current of the rectifier with a hybrid switch via circuit simulation and experimental results.