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THE EXCEPTIONAL SET OF ONE PRIME SQUARE AND FIVE PRIME CUBES
Liu, Yuhui Korean Mathematical Society 2022 대한수학회지 Vol.59 No.3
For a natural number n, let R(n) denote the number of representations of n as the sum of one square and five cubes of primes. In this paper, it is proved that the anticipated asymptotic formula for R(n) fails for at most $O(N^{{\frac{4}{9}+{\varepsilon}})$ positive integers not exceeding N.
On a Waring-Goldbach problem involving squares, cubes and biquadrates
Yuhui Liu 대한수학회 2018 대한수학회보 Vol.55 No.6
Let $P_r$ denote an almost-prime with at most $r$ prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large even integer $N$, the equation \begin{gather*} N=x^2+p_1^2+p_2^3+p_3^3+p_4^4+p_5^4 \end{gather*} is solvable with $x$ being an almost-prime $P_{4}$ and the other variables primes. This result constitutes an improvement upon that of L\"{u} \cite{7}.
ON A WARING-GOLDBACH PROBLEM INVOLVING SQUARES, CUBES AND BIQUADRATES
Liu, Yuhui Korean Mathematical Society 2018 대한수학회보 Vol.55 No.6
Let $P_r$ denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large even integer N, the equation $$N=x^2+p_1^2+p_2^3+p_3^3+p_4^4+p_5^4$$ is solvable with x being an almost-prime $P_4$ and the other variables primes. This result constitutes an improvement upon that of $L{\ddot{u}}$ [7].
The exceptional set of one prime square and five prime cubes
Yuhui Liu 대한수학회 2022 대한수학회지 Vol.59 No.3
For a natural number $n$, let $R(n)$ denote the number of representations of $n$ as the sum of one square and five cubes of primes. In this paper, it is proved that the anticipated asymptotic formula for $R(n)$ fails for at most $O(N^{\frac{4}{9} + \varepsilon})$ positive integers not exceeding $N$.
Yuhui Liu,Li Wang,Junlian Zhang,Bin Yu,Jing Wang,Di Wang 한국식물학회 2017 Journal of Plant Biology Vol.60 No.1
StMYBA1 from potato tuber was transformed into tobacco (Nicotiana tabacum) with the CaMV 35S promoter to investigate whether it can regulate anthocyanin biosynthesis in tobacco plants. As a result, anthocyanin accumulation was induced by overexpressing StMYBA1 in all tissues of transgenic tobacco lines. Several anthocyanin biosynthetic genes were highly expressed in leaves and roots of transgenic lines. In particular, the bHLH transcriptional partners NtAN1a and NtAN1b, especially NtAN1b, were up-regulated significantly in leaves and roots of StMYBA1-overexpressing tobacco. These results demonstrate that endogenous bHLH partners can be stimulated by overexpressing exogenous gene StMYBA1 in tobacco, and the elevated expression levels of bHLH partners are essential for anthocyanin production in plant tissues. Applying the dark conditions to the tobacco plants overexpressing StMYBA1 transiently, can down-regulate the expression levels of biosynthetic pathway genes and bHLH TFs, and subsequently reduce anthocyanin accumulation. We suggest that StMYBA1 can positively regulate anthocyanin biosynthesis in tobacco, and light is required for its function on anthocyanin accumulation.
Yanxia Chen,Xuedong Liu,Xiaoguang Yang,Yuhui Liu,Xiaomeng Pi,Qingzhen Liu,Dong Zheng 한국유전학회 2015 Genes & Genomics Vol.37 No.5
Deer antlers are the only mammalian appendages subject to an annual cycle of epimorphic regeneration. Within the rapid-growth stage, they display the fastest cartilage development in the animal kingdom. To identify microRNA (miRNA) profiling in red deer (Cervus elaphus) antler cartilage, we applied deep sequencing technology to a small RNA library constructed from pooled cartilage (three antlers from three individuals). We generated 9,520,645 mappable reads with a size distribution of between 15 and 30 nucleotides (miRNAs of 18 nucleotides were the most abundant group: 31 %). Bioinformatics data mining revealed 399 miRNAs in antler cartilage, of which 345 were highly conserved and expressed in 25 other mammals, including the cattle (Bos taurus) and in humans (Homo sapiens). The remaining 54 miRNAs we identified were novel and likely to be antler-cartilage specific, but were expressed at low levels. The identification of these known and newly identified miRNAs in antler cartilage significantly enhances our understanding of the miRNA profiling of regenerating antler cartilage. Further studies are necessary to better understand miRNAs-regulated antlerogenesis.
Yuhui Xiao,Xianghua Song,Zhuo Liu,Ruiping Li,Xiaorong Zhao,Yingping Huang 한국공업화학회 2017 Journal of Industrial and Engineering Chemistry Vol.45 No.-
The degradation of cefazolin (CFZ) by Ag3PO4/BiOBr composites under visible-light irradiation wasexplored. The main and interaction of parameters (catalyst dosage, pH, CFZ initial concentration anddegradation time) on removal of CFZ were studied by Box–Behnken design combined with responsesurface methodology. The pH was the most influential factor and both h+ and OH played a role in thephotocatalytic process. The high correlation coefficients (R2 = 0.9986 and adjusted R2 = 0.9973)demonstrated closefit between the predicted and experimental values. The exceptional efficiency ofAg3PO4/BiOBr composite in removing CFZ represents a promising technique for treatment of CFZcontainingwastewater.
Yu Jiyin,Liu Yong,Hua Xueni,Du Weifeng,Ning Chen,Ao Yuhui,Shang Lei 한국탄소학회 2022 Carbon Letters Vol.32 No.7
The evolvement in the microstructure and electrical properties of PAN-based carbon fibers during high-temperature carbonization were investigated. The study showed that as the heat treatment temperature increases, the change of carbon fiber resistivity around 1100 °C can be divided into two stages. In the first stage, the carbon content of the fiber increased rapidly, and small molecules such as nitrogen were gradually released to form a turbostratic of carbon crystal structure. The resistivity dropped rapidly from 3.19 × 10−5 Ω·m to 2.12 × 10−5 Ω·m. In the second stage, the carbon microcrystalline structure gradually became regular, and the electron movement area gradually became larger. At this time, the resistivity further decreases, from 2.12 × 10−5 Ω·m to 1.59 × 10−5 Ω·m. During carbonization, the tensile strength of carbon fiber first increased and then decreased. This is because the irregular and disordered graphite structure is formed first. As the temperature rose, the graphite layer spacing decreased and the grain thickness gradually increases. The modulus also gradually increased.
Dun, Yaoyan,Liu, Min,Chen, Jing,Peng, Danli,Zhao, Haixia,Zhou, Zhiyong,Wang, Ting,Liu, Chaoqi,Guo, Yuhui,Zhang, Changcheng,Yuan, Ding The Korean Society of Ginseng 2018 Journal of Ginseng Research Vol.42 No.1
Background: Saponins from Panax japonicus (SPJ) are the most abundant and main active components of P. japonicus, which replaces ginseng roots in treatment for many kinds of diseases in the minority ethnic group in China. Our previous studies have demonstrated that SPJ has the effects of anti-inflammation through the mitogen-activated protein kinase (MAPK) and nuclear factor kappa B (NF-${\kappa}B$) signaling pathways. The present study was designed to investigate whether SPJ can modulate intestinal tight junction barrier in aging rats and further to explore the potential mechanism. Methods: Aging rats had been treated with different doses (10 mg/kg, 30 mg/kg, and 60 mg/kg) of SPJ for 6 mo since they were 18 mo old. After the rats were euthanized, the colonic samples were harvested. Levels of tight junctions (claudin-1 and occludin) were determined by immunohistochemical staining. Levels of proinflammatory cytokines (interleukin-$1{\beta}$ and tumor necrosis factor-${\alpha}$) were examined by Western blot. NF-${\kappa}B$ and phosphorylation of MAPK signaling pathways were also determined by Western blot. Results: We found that SPJ increased the expression of the tight junction proteins claudin-1 and occludin in the colon of aging rats. Treatment with SPJ decreased the levels of interleukin-$1{\beta}$ and tumor necrosis factor-${\alpha}$, reduced the phosphorylation of three MAPK isoforms, and inhibited the expression of NF-${\kappa}B$ in the colon of aging rats. Conclusion: The studies demonstrated that SPJ modulates the damage of intestinal epithelial tight junction in aging rats, inhibits inflammation, and downregulates the phosphorylation of the MAPK and $NF-{\kappa}B$ signaling pathways.