On the Hyers-Ulam-Rassias stability of Jensen's equation

Dongyan Zhang,Jian Wang 대한수학회 2009 대한수학회보 Vol.46 No.4

J. Wang [21] proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen’'s equation for the case p, q, r, s ∈(β,1/β)\{1} holds or not under the assumption that G and E are β-homogeneous F-space (0<β<1). The main purpose of this paper is to give an answer to Wang’'s problem. Furthermore, we proved that the stability property of Jensen’'s equation is not true as long as p or q is equal to β,1/β, or ¯β_(2)/β_(1) (0<β_(1),β_(2)≤1). J. Wang [21] proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen’'s equation for the case p, q, r, s ∈(β,1/β)\{1} holds or not under the assumption that G and E are β-homogeneous F-space (0<β<1). The main purpose of this paper is to give an answer to Wang’'s problem. Furthermore, we proved that the stability property of Jensen’'s equation is not true as long as p or q is equal to β,1/β, or ¯β_(2)/β_(1) (0<β_(1),β_(2)≤1).

DNA methylation and mRNA expression of COL6A3 in antler mesenchyme of female and male reindeer

Jian‑Cheng Zhai,Ruo‑Bing Han,Sheng‑Nan Wang,Qiang‑Hui Wang,Yan‑Ling Xia,Wei‑Shi Liu,Ya‑Jie Yin,He‑Ping Li 한국유전학회 2019 Genes & Genomics Vol.41 No.9

Backgroud Reindeer is the only deer species that both male and female produce antlers, which provides a particularly interesting case in studying the differences between antlers of the two sexes. Alpha 3(VI) Collagen Gene (COL6A3), forms a microfibrillar network associated with the structural integrity and biomechanical properties, has been found to be one of the differentially expressed genes in antler mesenchyme of female and male reindeer. Objective and Methods The promoter sequence of reindeer COL6A3 gene was obtained using the cloning technology and analyzed by the bioinformatics methods. Bisulfite sequencing PCR (BSP) was used to detect the methylation status of the COL6A3 promoter in reindeer antler mesenchyme. Real-time quantitative PCR was used to detect COL6A3 expression in the antler mesenchyme of female and male reindeer. Results Sequence analysis revealed that the reindeer COL6A3 partial promoter sequence was 983 bp including the possible promoter region at + 105 bp to + 155 bp. Homology and phylogenetic analysis indicated that the COL6A3 promoter of reindeer had the closest genetic distance with Bos taurus, Capra hircus and Ovis aries. BSP results indicated that the methylation level of COL6A3 promoter in the female reindeer antler mesenchyme was significantly higher than in the male. Correlating with increased methylation status, we also found that COL6A3 mRNA expression in female reindeer antler mesenchyme was significantly lower than in the male. Conclusion The higher methylation level of the COL6A3 gene in female reindeer antler mesenchyme coincides with decreased COL6A3 mRNA expression, thereby affecting the transposon silencing mechanism and possibly contributing to apparent differences of antlers in female and male reindeer.

ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION

Zhang, Dongyan,Wang, Jian Korean Mathematical Society 2009 대한수학회보 Vol.46 No.4

J. Wang [21] proposed a problem: whether the Hyers-Ulam-Rassias stability of Jensen's equation for the case p, q, r, s $\in$ ($\beta$, $\frac{1}{\beta}$) \ {1} holds or not under the assumption that G and E are $\beta$-homogeneous Fspace (0 < $\beta\;\leq$ 1). The main purpose of this paper is to give an answer to Wang's problem. Furthermore, we proved that the stability property of Jensen's equation is not true as long as p or q is equal to $\beta$, $\frac{1}{\beta}$, or $\frac{\beta_2}{\beta_1}$ (0 < $\beta_1,\beta_2\leq$ 1).

The genome of the mesopolyploid crop species Brassica rapa

Wang, Xiaowu,Wang, Hanzhong,Wang, Jun,Sun, Rifei,Wu, Jian,Liu, Shengyi,Bai, Yinqi,Mun, Jeong-Hwan,Bancroft, Ian,Cheng, Feng,Huang, Sanwen,Li, Xixiang,Hua, Wei,Wang, Junyi,Wang, Xiyin,Freeling, Michael Nature Publishing Group, a division of Macmillan P 2011 Nature genetics Vol.43 No.10

We report the annotation and analysis of the draft genome sequence of Brassica rapa accession Chiifu-401-42, a Chinese cabbage. We modeled 41,174 protein coding genes in the B. rapa genome, which has undergone genome triplication. We used Arabidopsis thaliana as an outgroup for investigating the consequences of genome triplication, such as structural and functional evolution. The extent of gene loss (fractionation) among triplicated genome segments varies, with one of the three copies consistently retaining a disproportionately large fraction of the genes expected to have been present in its ancestor. Variation in the number of members of gene families present in the genome may contribute to the remarkable morphological plasticity of Brassica species. The B. rapa genome sequence provides an important resource for studying the evolution of polyploid genomes and underpins the genetic improvement of Brassica oil and vegetable crops.

Effects of Aging Temperature on the Mechanical Properties and Precipitation Behavior of a Pre-strained Al–Cu–Mg–Ag Alloy

Jian Wang,Jingpei Xie,Zhiyi Liu,Aiqin Wang,Wenyan Wang 대한금속·재료학회 2023 METALS AND MATERIALS International Vol.29 No.2

In this work, effects of artificial aging temperature on the mechanical properties and precipitation behavior of a pre-strainedAl–Cu–Mg–Ag alloy were investigated by hardness and tensile tests, and quantitative transmission electron microscopeanalysis. Three aging conditions, a single aging at a high temperature (T8H), a single aging at a low temperature (T8L) andan interrupted aging at low temperature following under-aging at a higher temperature (T8I4), were compared. Based on thequantitative analysis of the strengthening phases, the evolution law of the average diameter, thickness and volume fractionof Ω plates with the aging time for a pre-stretched Al–Cu–Mg–Ag alloy aged at 190 °C/160 °C may be predicted by themodified equations. The precipitation behavior of Ω precipitates was confirmed by considering the coarsening kinetics ofthem. Results show that a higher aging temperature can increase the precipitation kinetics of Ω phase and inhibit the precipitationof θ′ phase. Thus, a new type of interrupted aging treatment, T8I4 (3.2% pre-stretch + 190 °C/1 h + 160 °C/10 h),was proposed to enhance the strength of the pre-stretched Al–Cu–Mg–Ag alloy.

An Enhanced Grouping Proof for Multiple RFID Readers and Tag Groups

Jian Shen,Haowen Tan,Yang Wang,Sai Ji,Jin Wang 보안공학연구지원센터 2014 International Journal of Control and Automation Vol.7 No.12

RFID authentication on large numbers of tags or tag groups has attracted many researchers’ attention as an extension of initial one-or-two-tags scenarios. Due to demands of RFID application in supply chain, various proofs are proposed in the purpose of solving existing problems of grouping tags identification. However, it is proved that verifiers in these proofs are not aware of abnormal relating devices instantly, which may cause both security and technical risks and lie heavy upon identification of the problematic tags and readers. In this paper, we propose an enhanced grouping proof for multiple RFID readers and tag groups, according to which the verifier is able to cope with multiple readers and tag groups simultaneously and know the detailed status of the problematic tags. In addition, privacy protection is provided by offering mutual authentication between the readers and tags. Moreover, it is hard for the malicious tags to pass the verification in the proposed proof.

Path following of a surface ship sailing in restricted waters under wind effect using robust H_∞ guaranteed cost control

Wang, Jian-qin,Zou, Zao-jian,Wang, Tao The Society of Naval Architects of Korea 2019 International Journal of Naval Architecture and Oc Vol.11 No.1

The path following problem of a ship sailing in restricted waters under wind effect is investigated based on Robust $H_{\infty}$ Guaranteed Cost Control (RHGCC). To design the controller, the ship maneuvering motion is modeled as a linear uncertain system with norm-bounded time-varying parametric uncertainty. To counteract the bank and wind effects, the integral of path error is augmented to the original system. Based on the extended linear uncertain system, sufficient conditions for existence of the RHGCC are given. To obtain an optimal robust $H_{\infty}$ guaranteed cost control law, a convex optimization problem with Linear Matrix Inequality (LMI) constraints is formulated, which minimizes the guaranteed cost of the close-loop system and mitigates the effect of external disturbance on the performance output. Numerical simulations have confirmed the effectiveness and robustness of the proposed control strategy for the path following goal of a ship sailing in restricted waters under wind effect.

Macrophage-secreted Exosomes Delivering miRNA-21 Inhibitor can Regulate BGC-823 Cell Proliferation

Wang, Jian-Jun,Wang, Ze-You,Chen, Rui,Xiong, Jing,Yao, Yong-Liang,Wu, Jian-Hong,Li, Guang-Xin Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.10

Exosomes, membranous nanovesicles, naturally carry bio-macromolecules or miRNA and play impoetant roles in tumor pathogenesis. Here, we showed that macrophages cell-derived exosomes can function as vehicles to deliver exogenous miR-21 inhibitor into BGC-823 gastric cancer cells. Exosomes loaded with miR-21inhibitor significantly increased miR-21 levels in BGC-823, but miR-21inhibitor loaded in exosomes exerted an opposite effect. miRNA transfected with exosomes had less cellular toxicity to host cells compared to conventional transfection methods. The miR-21inhibitor loaded exosomes promoted the migration ability and reduced apoptosis of BGC-823 gastric cancer cells. These observations indicate that miR-21 acts as a tumor promoter by targeting the PDCD4 gene and preventing apoptosis of gastric cancer cells through inhibition of PDCD4 expression. Furthermore, exosome -mediated miR-21 inhibitor delivery resulted in functionally more efficient inhibition and less cellular toxicity compared to conventional transfection methods. Similar approaches could be useful in modification of target biomolecules in vitro and in vivo. These findings contribute to our understanding of the functions of miR-21 and exosomes as a carrier for therapy of gastric cancer.

CircularRNA_104670 plays a critical role in intervertebral disc degeneration by functioning as a ceRNA

Jian Son,Hong-Li Wang,Ke-Han Song,Zhi-Wen Ding,Hai-Lian Wang,Xiao-Sheng Ma,Fei-Zhou Lu,Xin-Lei Xia,Ying-Wei Wang,Fei-Zou,Jian-Yuan Jiang 생화학분자생물학회 2018 Experimental and molecular medicine Vol.50 No.-

This study was carried out to explore the roles of circular RNAs (circRNAs) in nucleus pulposus (NP) tissues in intervertebral disc degeneration (IDD). Differentially expressed circRNAs in IDD and normal NP tissues were identified based on the results of microarray analysis. Bioinformatics techniques were employed to predict the direct interactions of selected circRNAs, microRNAs (miR), and mRNAs. CircRNA_104670 was selected as the target circRNA due to its large multiplier expression in IDD tissues. After luciferase reporter and EGFP/RFP reporter assays, we confirmed that circRNA_104670 directly bound to miR-17-3p, while MMP-2 was the direct target of miR-17-3p. The receiver-operating characteristic (ROC) curve showed that circRNA_104670 and miR-17-3p had good diagnostic significance for IDD (AUC circRNA_104670 = 0.96; AUC miRNA-17-3p = 0.91). A significant correlation was detected between the Pfirrmann grade and expression of circRNA_104670 (r = 0.63; p = 0.00) and miR-17-3p (r = −0.62; p = 0.00). Flow-cytometric analysis and the MTT assay showed that interfering with circRNA_104670 using small interfering RNA (siRNA) inhibited NP cell apoptosis (p < 0.01), and this inhibition was reduced by interfering with miR-17-3p. Interfering with circRNA_104670 suppressed MMP-2 expression and increased extracellular matrix (ECM) formation, which were also reduced by interfering with miR-17-3p. Finally, an MRI evaluation showed that circRNA_104670 inhibition mice had a lower IDD grade compared with control mice (p < 0.01), whereas circRNA_104670 and miRNA-17-3p inhibition mice had a higher IDD grade compared with circRNA_104670 inhibition mice (p < 0.05). CircRNA_104670 is highly expressed in the NP tissues of IDD and acts as a ceRNA during NP degradation.

Path following of a surface ship sailing in restricted waters under wind effect using robust H∞ guaranteed cost control

Jian-qin Wang,Zao-jian Zou,Tao Wang 대한조선학회 2019 International Journal of Naval Architecture and Oc Vol.11 No.1

The path following problem of a ship sailing in restricted waters under wind effect is investigated based on Robust H∞ Guaranteed Cost Control (RHGCC). To design the controller, the ship maneuvering motion is modeled as a linear uncertain system with norm-bounded time-varying parametric uncertainty. To counteract the bank and wind effects, the integral of path error is augmented to the original system. Based on the extended linear uncertain system, sufficient conditions for existence of the RHGCC are given. To obtain an optimal robust H∞ guaranteed cost control law, a convex optimization problem with Linear Matrix Inequality (LMI) constraints is formulated, which minimizes the guaranteed cost of the close-loop system and mitigates the effect of external disturbance on the performance output. Numerical simulations have confirmed the effectiveness and robustness of the proposed control strategy for the path following goal of a ship sailing in restricted waters under wind effect.