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RISS 인기검색어
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- 저자 : Zhu Yujun (검색결과 7 건)
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Topological entropy of a sequence of monotone maps on circles
Yujun Zhu,Jinlian Zhang,Lianfa He 대한수학회 2006 대한수학회지 Vol.43 No.2
In this paper, we prove that the topological entropy of a sequence of equi-continuous monotone maps $f_{1,\infty}=\{f_i\}_{i=1}^{\infty}\;$ on circles is $\;h(f_{1,\infty})=\limsup\limits_{n\rightarrow\infty}\frac{1}{n}\log\prod\limits_ {i=1}^{n}|\deg f_{i}|.$ As applications, we give the estimation of the entropies for some skew products on annular and torus. We also show that a diffeomorphism $f$ on a smooth $2$-dimensional closed manifold and its extension on the unit tangent bundle have the same entropy.
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ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS
Zhu, Yujun,Liu, Zhaofeng,Xu, Xueli,Zhang, Wenda Korean Mathematical Society 2012 대한수학회지 Vol.49 No.1
In this paper, the topological entropy and measure-theoretic entropy for nonautonomous dynamical systems are studied. Some properties of these entropies are given and the relation between them is discussed. Moreover, the bounds of them for several particular nonautonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.
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Entropy of nonautonomous dynamical systems
Yujun Zhu,Zhaofeng Liu,Xueli Xu,Wenda Zhang 대한수학회 2012 대한수학회지 Vol.49 No.1
In this paper, the topological entropy and measure-theoretic entropy for nonautonomous dynamical systems are studied. Some properties of these entropies are given and the relation between them is discussed. Moreover, the bounds of them for several particular nonautonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.
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On Which Microphysical Time Scales to Use in Studies of Entrainment‐Mixing Mechanisms in Clouds
Lu, Chunsong,Liu, Yangang,Zhu, Bin,Yum, Seong Soo,Krueger, Steven K.,Qiu, Yujun,Niu, Shengjie,Luo, Shi American Geophysical Union 2018 Journal of Geophysical Research: Atmospheres Vol.123 No.7
<P>The commonly used time scales in entrainment-mixing studies are examined to seek the most appropriate one, based on aircraft observations of cumulus clouds from the RACORO campaign and numerical simulations with the Explicit Mixing Parcel Model. The time scales include the following: (evap), the time for droplet complete evaporation; (phase), the time for saturation ratio deficit (S) to reach 1/e of its initial value; (satu), the time for S to reach -0.5%; and (react), the time for complete droplet evaporation or S to reach -0.5%. It is found that the proper time scale to use depends on the specific objectives of entrainment-mixing studies. First, if the focus is on the variations of liquid water content (LWC) and S, then (react) for saturation, (satu) and (phase) are almost equivalently appropriate, because they all represent the rate of dry air reaching saturation or of LWC decrease. Second, if one focuses on the variations of droplet size and number concentration, (react) for complete evaporation and (evap) are proper because they characterize how fast droplets evaporate and whether number concentration decreases. Moreover, (react) for complete evaporation and (evap) are always positively correlated with homogeneous mixing degree (); thus, the two time scales, especially (evap), are recommended for developing parameterizations. However, and the other time scales can be negatively, positively, or not correlated, depending on the dominant factors of the entrained air (i.e., relative humidity or aerosols). Third, all time scales are proportional to each other under certain microphysical and thermodynamic conditions.</P>
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Xiaoling Li,Ligang Xing,Yujun Zhang,Peng Xie,Wanqi Zhu,Xiangjiao Meng,Yinxia Wang,Lingling Kong,Hanxi Zhao,Jinming Yu 한국식품영양과학회 2020 Journal of medicinal food Vol.23 No.1
Acute radiation-induced esophagitis (ARIE) is among the most serious form of toxicities associated with definitive radiotherapy or chemoradiotherapy used for treatment of patients with esophageal cancer. Our preliminary phase I and II trials of lung cancer patients who received radiotherapy indicated epigallocatechin-3-gallate (EGCG) as a promising therapeutic option against ARIE. Therefore, we conducted a prospective phase II study to validate the efficacy and safety of EGCG in the treatment of ARIE. The patients who received chemoradiotherapy or definitive radiotherapy for treatment of esophageal cancer in the Shandong Cancer Hospital and Institute in China were enrolled for the present study. EGCG (440 μM) was administered with first onset of ARIE and then at weeks after final radiotherapy. The patients were monitored every week for dysphagia, Radiation Therapy Oncology Group (RTOG) score, and esophagitis-related pain. Moreover, tumor response and the effect on survival following the treatment were also evaluated. Comparison of the RTOG score in the first, second, third, fourth, fifth, and even sixth week after EGCG prescription and the first and second week after radiotherapy with baseline indicates a significant reduction. The tumor response rate was 86.3%. The overall survival rate in 1, 2, and 3 years was found to be 74.5%, 58%, and 40.5%. Oral administration of EGCG solution seems to be feasible for treating ARIE in patients with esophageal cancer who receive radiation therapy. EGCG might be an ARIE-reliever without compromising the efficacy of radiation therapy. A randomized study with a control group is needed for further evaluation.
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Li Ping,Zou Liuyi,Luo Zuojun,Lu Yuhua,Yu Shuang,Zhu Yujun,Xie Yong 대한독성 유전단백체 학회 2023 Molecular & cellular toxicology Vol.19 No.3
Background Non-small cell lung cancer (NSCLC) is one of most threatening malignancies with a high morbidity and mortality that threaten human health and life. Objective This study aimed to investigate the role of circBLNK in NSCLC and reveal the regulation mechanism of circBLNK in NSCLC. Quantitative real-time polymerase chain reaction ( qRT-PCR) was performed to determine the levels of circBLNK, miR-578 and inhibitor of growth 5 (ING5) mRNA. Cell proliferation activity was assessed by 3-(4,5-dimethyl-2-thiazolyl)- 2,5-diphenyl-2-H-tetrazolium bromide (MTT), 5-ethynyl-2’-deoxyuridine (EdU) staining and colony formation assays. Flow cytometry was carried out to examine cell cycle and cell apoptosis. The dual-luciferase reporter assay was used to validate the interaction between miR-578 and circBLNK or ING5. Xenograft tumor experiment was performed to uncover the function of circBLNK in vivo. Results CircBLNK was notably down-regulated in NSCLC tissues and cells. Overexpression of circBLNK suppressed the proliferation and accelerated the apoptosis of NSCLC cells in vitro . CircBLNK targeted miR-578, and circBLNK exerted its biological function in NSCLC cells through sponging miR-578. ING5 was verifi ed as a target of miR-578, and circBLNK increased the abundance of ING5 through targeting miR-578 in NSCLC cells. ING5 interference could partly reverse the biological eff ects of NSCLC cells mediated by circBLNK overexpression. CircBLNK overexpression repressed NSCLC tumor growth in vivo. Conclusion CircBLNK functioned as a tumor suppressor in NSCLC to suppress the proliferation and cell cycle and promote cell apoptosis of NSCLC cells through miR-578/ING5 axis.
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