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A Symmetric Characteristic Finite Volume Element Scheme for Nonlinear Convection-Diffusion Problems

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Acta Mathematicae Applicatae Sinica 2008年第1期24卷 41-54页

作者： min Yang yi-rang Yuan Department of Mathematics Yantai University Yantai 264005 China School of Mathematical and System Science Shandong University Jinan 250100 China

In this paper, we implement alternating direction strategy and construct a symmetric FVE scheme for nonlinear convection-diffusion problems. Comparing to general FVE methods, our method has two advantages. First, the coefficient matrices of the discrete schemes will be symmetric even for nonlinear problems. Second, since the solution of the algebraic equations at each time step can be inverted into the solution of several one-dimensional problems, the amount of computation work is smaller. We prove the optimal H1-norm error estimates of order O（△t2 ＋ h） and present some numerical examples at the end of the paper.

关键词： Finite volume element symmetric scheme nonlinear alternating direction error estimates

Entanglement teleportation via a couple of quantum channels in Ising–Heisenberg spin chain model of a heterotrimetallic Fe–Mn–Cu coordination polymer

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Chinese Physics B 2019年第12期28卷 105-112页

作者： yi-Dan Zheng Zhu mao Bin Zhou Department of Physics Hubei UniversityWuhan 430062China

We investigate the teleportation of an entangled state via a couple of quantum channels, which are composed of a spin-1/2 Heisenberg dimer in two infinite Ising–Heisenberg chains. The heterotrimetallic coordination polymer CuⅡMnⅡ(L1)][FeⅢ(bpb)(CN)2]·ClO4·H2O(abbreviated as Fe–Mn–Cu) can be regarded as an actual material for this *** apply the transfer-matrix approach to obtain the density operator for the Heisenberg dimer and use the standard teleportation protocol to derive the analytical expression of the density matrix of the output state and the average fidelity of the entanglement teleportation. We study the effects of the temperature T, anisotropy coupling parameter △, Heisenberg coupling parameter J2 and external magnetic field h on the quantum channels. The results show that anisotropy coupling? and Heisenberg coupling J2 can favor the generation of the output concurrence and expand the scope of the successful average fidelity.

关键词： entanglement teleportation Ising–Heisenberg chain transfer-matrix approach concurrence

Metabolic cell death in cancer:ferroptosis,cuproptosis,disulfidptosis,and beyond

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Protein & Cell 2024年第9期15卷 642-660页

作者： Chao mao min Wang Li Zhuang Boyi Gan Department of Experimental Radiation Oncology The University of Texas MD Anderson Cancer CenterHoustonTX 77030USA Department of Molecular and Cellular Biology Baylor College of MedicineHoustonTX 77030USA The University of Texas MD Anderson UTHealth Graduate School of Biomedical Sciences HoustonTX 77030USA

Cell death resistance represents a hallmark of *** studies have identified metabolic cell death as unique forms of regulated cell death resulting from an imbalance in the cellular *** review discusses the mechanisms of metabolic cell death—ferroptosis,cuproptosis,disulfidptosis,lysozincrosis,and alkaliptosis—and explores their potential in cancer *** review underscores the complexity of the metabolic cell death pathways and offers insights into innovative therapeutic avenues for cancer treatment.

关键词： cell death cancer treatment ferroptosis cuproptosis disulfidptosis

SIMULATION AND ANALYSIS OF FLOW PATTERN IN CROSS-CORRUGATED PLATE HEAT EXCHANGERS

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Journal of Hydrodynamics 2006年第5期18卷 547-551页

作者： ZHANG Guan-min TIAN mao-cheng ZHOU Shou-jun School of Energy and Power Engineering Shandong University Jinan 250061 China School of Thermal Energy Engineering Shandong JianZhu University Jinan 250101 China

Using numerical methodology, the flow fields between two corrugated plates with different values of the corrugation inclination angle β were simulated. The simulation results directly indicate that β affects the flow pattern between corrugated plates, and the results are in good agreement with the experimental results reported by interrelated literature. The results show that the flow pattern between the two plates changes from ＂double cross-flow＂ to ＂zigzag flow＂ with the increase in β. The reason for the effect on the flow pattern between the two corrugated plates was discussed from the view of the variation of momentum in the direction of corrugation with the variation in β.

关键词： plate heat exchanger simulation flow pattern

High patatin like phospholipase domain containing 8 expression as a biomarker for poor prognosis of colorectal cancer

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World Journal of Gastrointestinal Oncology 2024年第3期16卷 787-797页

作者： Peng-Yang Zhou De-Xiang Zhu yi-Jiao Chen Qing-Yang Feng yi-Hao mao Ao-Bo Zhuang Jian-min Xu Department of General Surgery Zhongshan Hospital Fudan UniversityShanghai 200032China

BACKGROUND Patatin like phospholipase domain containing 8(PNPLA8)has been shown to play a significant role in various cancer *** studies have focused on its roles as an antioxidant and in lipid ***,the role of PNPLA8 in colorectal cancer(CRC)progression is *** To explore the prognostic effects of PNPLA8 expression in *** A retrospective cohort containing 751 consecutive CRC patients was ***8 expression in tumor samples was evaluated by immunohistochemistry staining and semi-quantitated with immunoreactive *** patients were divided into high and low PNPLA8 expression groups based on the cut-off va-lues,which were calculated by X-tile *** prognostic value of PNPLA8 was identified using univariate and multivariate Cox regression *** over-all survival(OS)rates of CRC patients in the study cohort were compared with Kaplan-Meier analysis and Log-rank *** PNPLA8 expression was significantly associated with distant metastases in our cohort(P=0.048).CRC patients with high PNPLA8 expression indicated poor OS(median OS=35.3,P=0.005).CRC patients with a higher PNPLA8 expression at either stage I and II or stage III and IV had statistically significant shorter *** patients with left-sided colon and rectal cancer,the survival curves of two PN-PLA8-expression groups showed statistically significant *** analysis also confirmed that high PNPLA8 expression was an independent prog-nostic factor for overall survival(hazard ratio HR=1.328,95%CI:1.016-1.734,P=0.038).

关键词： Biomarker Colorectal cancer Expression level Overall survival Patatin like phospholipase domain containing 8 Prognosis

High-temperature oxidation behavior and analysis of impedance spectroscopy of 7YSZ thermal barrier coating prepared by plasma spray-physical vapor deposition

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Chinese Journal of Aeronautics 2018年第8期31卷 1764-1773页

作者： Wenlong CHEN min LIU Jifu ZHANG Ziqian DENG Jie mao School of Materials and Energy Guangdong University of Technology Guangzhou 510006 China National Engineering Laboratory for Modern Materials Surface Engineering Technology & the Key Lab of Guangdong for Modern Surface Engineering Technology Guangdong Institute of New Materials Guangzhou 510650 China

Quasi-columnar structure 7YSZ（yttria stabilized zirconia） thermal barrier coatings（TBCs） are prepared by plasma spray-physical vapor deposition（PS-PVD） onto pretreated and un-pretreated bond coating, respectively. An isothermal oxidation experiment of 7YSZ TBCs is carried out in the atmosphere of 950 °C in order to simulate the high-temperature oxidation process of engine blades. The isothermal oxidation process of 7YSZ thermal barrier coatings is investigated systematically by impedance spectroscopy. The electrochemical physical model and equivalent circuit of columnar 7YSZ coatings are established. Results show that the isothermal oxidation kinetic curve of columnar 7YSZ thermal barrier coatings appears to follow the parabolic law. A pretreatment of bond coating can reduce the growth rate of the thermally grown oxide（TGO） layer, restraining the initiation and propagation of microcracks between YSZ and TGO layers. The oxidation rate constants of 7YSZ coatings with pretreated and un-pretreated bond coating are 0.101×10^（-12） cm^2·s^（-1） and 0.115 × 10^（-13） cm^2 ·s^（-1）, respectively. Impedance analysis shows that the content of oxygen vacancies decreases and the density increases after the TGO layer is oxidized for 150 h. In addition, shrinkage microcracks formed by sintering during the oxidation process is the main reason for an increase of the capacitance and a decrease of the resistance in the grain boundary of YSZ.

关键词： Bond coating Impedance spectroscopyisothermal oxidation PS-PVD TBCs

Different Mechanisms of ε-M and α'-M Variant Selection and the Influencing Factors of ε-M Reversion During Dynamic Tension in TRIP Steel

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Acta Metallurgica Sinica(English Letters) 2018年第5期31卷 449-455页

作者： Li-Na Wang Ping Yang Ting Jin Wei-min mao School of Materials Science and Engineering University of Science and Technology Beijing Department of Materials School of Tianjin University of Science and Technology Beijing

The variant selection of martensites（ε-M and α＇-M） and ε-M reversion in dynamic tensile high-manganese TRIP steel were investigated. α＇-M variant pairs with a zigzag morphology frequently formed, and the pairs of neighboring α＇-M variants were examined in terms of mechanical work and strain energy reduction. The occurrence of a primary α＇-M variant is determined by mechanical work, but high products of mechanical work and strain energy reduction are essential for secondary variant selection. In contrast to α＇-M variant pair selection, ε-M variant selection can be attributed to the highest mechanical work. During ε-M→α＇-M transformation, the mechanical work of ε-M reversion is higher than that of α＇-M variant, thereby implying that ε-M reversion in h110 icgrain is possible. e-M plate distribution also affects the feasibility of ε-M reversion.

关键词： TRIP-assisted steel Dynamic plastic deformation Martensitic transformation Variantselection Orientation relationship

Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces

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Acta Mathematica Sinica,English Series 2007年第3期23卷 563-570页

作者： yi Ran HE Xiu Zhen mao Mi ZHOU Department of Mathematics Sichuan Normal University Chengdu 610068 P. R. China

Strict feasibility is proved to be an equivalent characterization of （dual） variational inequalities having a nonempty bounded solution set, provided the mappings involved are stably properly quasimonotone. This generalizes an earlier result from finite-dimensional Euclidean spaces to infinitedimensional reflexive Banach spaces. Moreover, the monotonicity-type assumptions are also mildly relaxed.

关键词： variational inequalities well-positioned sets barrier cone strict feasibility stably properly quasimonotone

Nonexistence and Longtime Behaviors of Solutions to a Class of Nonlinear Degenerate Parabolic Equations Not in Divergence Form

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Acta Mathematicae Applicatae Sinica 2016年第2期32卷 327-332页

作者： Yu-dong SUN yi-min SHI min WU School of Science Guizhou Minzu University Department of Applied Mathematics Northwestern Polytechnical University

In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation σtun=umdiv（｜▽um｜p-2▽um）＋γ｜▽um｜p＋βun with zero boundary condition. Blow-up time is der... 详细信息

关键词： nonexistence nonlinear degenerate parabolic equations weak solution blow-up