WAVEFRONT SOLUTIONS IN THE DIFFUSIVE NICHOLSON'S BLOWFLIES EQUATION WITH NONLOCAL DELAY

Zhang, Cun-Hua The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.1

In the present article we consider the diffusive Nicholson's blowflies equation with nonlocal delay incorporated into an integral convolution over all the past time and the whole infinite spatial domain $\mathbb{R}$. When the kernel function takes a special function, we construct a pair of lower and upper solutions of the corresponding travelling wave equation and obtain the existence of travelling fronts according to the existence result of travelling wave front solutions for reaction diffusion systems with nonlocal delays developed by Wang, Li and Ruan (J. Differential Equations, 222(2006), 185-232).

INTERVAL OSCILLATION CRITERIA FOR A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION

Zhang, Cun-Hua The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5

This paper is concerned with the interval oscillation of the second order nonlinear ordinary differential equation (r(t)|y'(t)|$^{{\alpha}-1}$ y'(t))'+p(t)|y'(t)|$^{{\alpha}-1}$ y'(t)+q(t)f(y(t))g(y'(t))=0. By constructing ageneralized Riccati transformation and using the method of averaging techniques, we establish some interval oscillation criteria when f(y) is not differetiable but satisfies the condition $\frac{f(y)}{|y|^{{\alpha}-1}y}$ ${\geq}{\mu}_0$ > 0 for $y{\neq}0$.

WAVEFRONT SOLUTIONS IN THE DIFFUSIVE NICHOLSON’S BLOWFLIES EQUATION WITH NONLOCAL DELAY

Cun-Hua Zhang 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1

In the present article we consider the diffusive Nicholson’s blowflies equation with nonlocal delay incorporated into an integral convolution over all the past time and the whole infinite spatial domain R. When the kernel function takes a special function, we construct a pair of lower and upper solutions of the corresponding travelling wave equation and obtain the existence of travelling fronts according to the existence result of travelling wave front solutions for reaction diffusion systems with nonlocal delays developed byWang, Li and Ruan (J. Differential Equations,222(2006), 185-232).

Interval oscillation criteria for a second order nonlinear differential equation

Cun-Hua Zhang 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5

This paper is concerned with the interval oscillation of the second order nonlinear ordinary differential equation (r (t) |y' (t)α−1 y'(t)' + p (t) |y' (t)α−1 y'(t)+q (t) f (y (t)) g (y'(t)) = 0. By constructing a generalized Riccati transformation and using the method of averaging techniques, we establish some interval oscillation criteria when f(y) is not differetiable but satisfies the condition<수식> μ0 > 0 for y ≠ 0. This paper is concerned with the interval oscillation of the second order nonlinear ordinary differential equation (r (t) |y' (t)α−1 y'(t)' + p (t) |y' (t)α−1 y'(t)+q (t) f (y (t)) g (y'(t)) = 0. By constructing a generalized Riccati transformation and using the method of averaging techniques, we establish some interval oscillation criteria when f(y) is not differetiable but satisfies the condition<수식> μ0 > 0 for y ≠ 0.

Association Between Single Nucleotide Polymorphisms in miRNA196a-2 and miRNA146a and Susceptibility to Hepatocellular Carcinoma in a Chinese Population

Zhang, Jun,Wang, Rui,Ma, Yan-Yun,Chen, Lin-Qi,Jin, Bo-Han,Yu, Hua,Wang, Jiu-Cun,Gao, Chun-Fang,Liu, Jie Asian Pacific Journal of Cancer Prevention 2013 Asian Pacific journal of cancer prevention Vol.14 No.11

Hepatocellular carcinoma (HCC) is one of the most prevalent cancers in the world and deeply threatens people's health, especially in China. Techniques of early diagnosis, prevention and prediction are still being discovered, among which the approaches based on single nucleotide polymorphisms in microRNA genes (miRNA SNPs) are newly proposed and show prospective potential. In particular, the association between SNPs in miRNA196a-2 (rs11614913) and miRNA146a (rs2910164) and HCC has been investigated. However, the conclusions made were conflicting, possibly due to insufficient sample size or population stratification. Further confirmations in well-designed large samples are still required. In this study, we verified the association between these two SNPs and the susceptibility to HCC by MassARRAY assay in a 2,000 large Chinese case-control sample. Significant association between rs11614913 and HCC was confirmed. Subjects with the genotype of CT+TT or T allele in rs11614913 were more resistant to HCC (CT+TT: OR (95% CI)=0.73 (0.57-0.92), P=0.01; T allele: OR (95% CI)=0.85 (0.75-0.97), P=0.02) and HBV-related HCC (CT+TT: OR (95% CI)=0.69 (0.53-0.90), P=0.01; T allele: OR (95% CI)=0.82 (0.71-0.95), P=0.01). The affected carriers of CT or TT also tended to have lower levels of serum AFP (P=0.01). This study demonstrated a role of rs11614913 in the etiology of HCC. Further research should focus on the clinical use of this miRNA SNP, so as to facilitate conquering HCC.

Expression of Fas/FasL in CD8⁺ T and CD3⁺ Foxp3⁺ Treg Cells - Relationship with Apoptosis of Circulating CD8⁺ T Cells in Hepatocellular Carcinoma Patients

Guo, Cun-Li,Yang, Xiu-Hua,Cheng, Wen,Xu, Yi,Li, Jie-Bing,Sun, Yi-Xin,Bi, Yu-Mei,Zhang, Lei,Wang, Qiu-Cheng Asian Pacific Journal of Cancer Prevention 2014 Asian Pacific journal of cancer prevention Vol.15 No.6

Aims: Dysfunction of the host immune system in cancer patients can be due to a number of factors, including lymphocyte apoptosis. Several studies showed that $Foxp3^+T$ cells take part in inducing this process by expressing FasL in tumor patients. However, the relationship between apoptosis, $CD8^+T$ cells and $Foxp3^+T$ cells in HCC patients is still unclear. The present study was designed to investigate the correlation between apoptosis levels and Fas/FasL expression in $CD8^+T$ lymphocytes and $Foxp3^+T$ cells in patients with HCC. Methods: $CD8^+T$ cells and $CD3^+Foxp3^+T$ cells were tested from peripheral blood of HCC patients and normal controls and subjected to multicolor flow cytometry. The expression of an apoptosis marker (annexin V) and the death receptor Fas in $CD8^+T$ cells and FasL in $CD3^+Foxp3^+T$ cells were evaluated. Serum TGF-${\beta}1$ levels in patients with HCC were measured by enzyme-linked immunosorbent assay. The relationship between apoptosis and Fas expression, as well as FasL expression in $CD3^+Foxp3^+T$ cells was then evaluated. Results: The frequency of $CD8^+T$ cells binding annexin V and Fas expression in $CD8^+T$ cells, were all higher in HCC patients than normal controls and the proportion of apoptotic $CD8^+T$ cells correlated with their Fas expression. Serum TGF-${\beta}1$ levels correlated inversely with $CD3^+Foxp3^+T$ cells. Conclusions: Fas/FasL interactions might lead to excessive turnover of $CD8^+T$ cells and reduce anti-tumor immune responses in patients with HCC. Further investigations of apoptosis induction in $Fas^+CD8^+T$ cells in vitro are required.

Effects of photoperiod on nutrient digestibility, hair follicle activity and cashmere quality in Inner Mongolia white cashmere goats

Chong Zhi Zhang,Hai Zhou Sun,Sheng Li Li,Dan Sang,Chun Hua Zhang,Lu Jin,Marco Antonini,Cun Fa Zhao 아세아·태평양축산학회 2019 Animal Bioscience Vol.32 No.4

Objective: This study investigated the effects of photoperiod on nutrient digestibility, hair follicle (HF) activity and cashmere quality in Inner Mongolia white cashmere goats. Methods: Twenty-four female (non-pregnant) Inner Mongolia white cashmere goats aged 1 to 1.5 years old with similar live weights (mean, 20.36±2.63 kg) were randomly allocated into two groups: a natural daily photoperiod group (NDPP group:10 to 16 h light, n = 12) and a short daily photoperiod group (SDPP group: 7 h light:17 h dark, n = 12). All the goats were housed in individual pens and fed the same diets from May 15 to October 15, 2015. The digestibility of crude protein (CP), dry matter (DM), and neutral detergent fiber (NDF) were measured in different months, along with secondary hair follicle (SHF) activity, concentration of melatonin (MEL), and cashmere quality. Results: Although there was no significant difference in the live weights of goats between the SDPP and NDPP groups (p>0.05), the CP digestibility of goats in the SDPP group was significantly increased compared to the NDPP group in July, September, and October (p<0.05). For the DM and NDF digestibility of goats, a significant increase (p<0.05) was found during in September in the SDPP group. Furthermore, compared to the NDPP group, the SHF activity in July, the MEL concentration in July, and the cashmere fiber length and fiber weight in October were significantly increased in the SDPP group (p<0.05). Conclusion: The cashmere production of Inner Mongolia white cashmere goats was increased without obvious deleterious effects on the cashmere fibers in the SDPP group (metabolizable energy, 8.34 MJ/kg; CP, 11.16%; short daily photoperiod, 7 h light:17 h dark).

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.

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.

Bioconversion of conjugated linoleic acid by Lactobacillus plantarum CGMCC8198 supplemented with Acer truncatum bunge seeds oil

Dong-Ju Chen,Li-Hua Yan,Qian Li,Cai-jiao Zhang,Chuan-Ling Si,Zhong-Yuan Li,Ya-Jian Song,Hao Zhou,Tong-Cun Zhang,Xuegang Luo 한국식품과학회 2017 Food Science and Biotechnology Vol.26 No.6

Conjugated linoleic acid (CLA) isomers, c9, t11- CLA and t10, c12-CLA, have been proved to exhibit excellent biomedical properties for potential use in anticancer applications and in reducing obesity. Acer truncatum Bunge (ATB), which is rich in unsaturated fatty acids, including oleic acid, linoleic acid, and nervonic acid, is a new resource for edible oil. In the present study, we developed a new method for producing two CLA isomers from ATB-seed oil by fermentation using Lactobacillus plantarum CGMCC8198 (LP8198), a novel probiotics strain. Polymerase chain reaction results showed that there was a conserved linoleate isomerase (LIase) gene in LP8198, and its transcription could be induced by ATBseed oil. Analyses by gas chromatography–mass spectrometry showed that the concentration of c9, t11-CLA and t10, c12-CLA in ATB-seed oil could be increased by about 9- and 2.25-fold, respectively, after being fermented by LP8198.