Quantum Pfaffians and hyper-Pfaffians

The concept of the quantum Pfaffian is rigorously examined and refurbished using the new method of quantum exterior algebras. We derive a complete family of Plücker relations for the quantum linear transformations, and then use them to give an optimal set of relations required for the quantum Pfaffian. We then give the formula between the quantum determinant and the quantum Pfaffian and prove that any quantum determinant can be expressed as a quantum Pfaffian. Finally the quantum hyper-Pfaffian is introduced, and we prove a similar result of expressing quantum determinants in terms of quantum hyper-Pfaffians at modular cases.     

A group adaptive elastic-net approach for variable selection in high-dimensional linear regression

In practice, predictors possess grouping structures spontaneously. Incorporation of such useful information can improve statistical modeling and inference. In addition, the high-dimensionality often leads to the collinearity problem. The elastic net is an ideal method which is inclined to reflect a grouping effect. In this paper, we consider the problem of group selection and estimation in the sparse linear regression model in which predictors can be grouped. We investigate a group adaptive elastic-net and derive oracle inequalities and model consistency for the cases where group number is larger than the sample size. Oracle property is addressed for the case of the fixed group number. We revise the locally approximated coordinate descent algorithm to make our computation. Simulation and real data studies indicate that the group adaptive elastic-net is an alternative and competitive method for model selection of high-dimensional problems for the cases of group number being larger than the sample size.     

大黄素联合5AzA-cdR对胰腺癌抑癌基因p16、RASSF1A去甲基化作用研究

目的研究大黄素是否可增强5AzA-cdR对胰腺癌Panc1细胞抑癌基因p16、RASSF1A的去甲基化作用。方法采用细胞增殖实验检测不同浓度大黄素对Panc1细胞的生长抑制情况，焦磷酸盐测序PCR（BSP）分别检测大黄素、5AzA-cdR及大黄素联合5AzA-cdR对Panc1细胞抑癌基因p16、RASSF1A甲基化状态的影响，并用荧光定量PCR（FQ-PCR）和Westernblot分别检测p16、RASSF1A及甲基转移酶DNMT1、DNMT3a在mRNA和蛋白水平的表达情况。结果大黄素以时间和浓度梯度依赖性抑制Panc1细胞生长。BSP结果显示大黄素具有微弱的去甲基化作用，5AzA-cdR具有一定程度的去甲基化作用，当两者联用时，去甲基化作用更加显著；FQ-PCR和Westernblot结果显示大黄素与5AzA-cdR联用时，p16、RASSF1A的表达水平均较空白对照明显增高（均P＜0.05），DNMT1、DNMT3a的表达水平均较空白对照明显降低（均P＜0.05）。结论大黄素与5AzA-cdR联用可通过降低DNMT1和DNMT3a的表达水平来增强5AzA-cdR对胰腺癌抑癌基因p16、RASSF1A的去甲基化作用。     

On existence and essential components for solution set for system of strong vector quasi-equilibrium problems

In this paper, we study the system of strong vector quasi-equilibrium problems without assuming that the dual of the ordering cone has a weak* compact base. We show the existence and essential components of solution set for system of strong vector quasi-equilibrium problems by defining the best-reply mapping.     

涠洲岛两种石珊瑚在高温胁迫下共生细菌群落结构变化特征

石珊瑚中的块状珊瑚与枝状珊瑚对全球气候变暖胁迫的耐受能力明显不同,但其机制仍不清楚。本研究选择北部湾涠洲岛的一种属于块状珊瑚的海孔角蜂巢珊瑚(Favites halicora)和一种属于枝状珊瑚的浪花鹿角珊瑚(Acropora cytherea)为研究对象,通过室内模拟实验,分析高温胁迫下(26～34℃) 2种珊瑚共生细菌群落的响应特征。结果表明:共生细菌多样性具有差异性,A.cytherea共生细菌的多样性随着温度上升变化显著,Shannon指数由2.20变为4.05,而F.halicora变化幅度较小,在2.69～3.19波动;主导细菌存在差异,在门水平上,F.halicora占主导地位的共生细菌为Proteobacteria (29%～73%)、Cyanobacteria (7%～63%)和Bacteroidetes(3%～13%),而A. cytherea为Proteobacteria (49%～90%)、Cyanobacteria (1%～16%)、Bacteroidetes (3%～16%)、Firmicutes (1%～6%)和一个未分类的细菌门unclassified_k_norank(0.6%～21.0%);升温胁迫时,主导细菌的丰度变化存在差别,Bacteroidetes在F.halicora中显著降低,而在A.cytherea中显著升高,unclassified_k_norank在A.cytherea中也显著升高;随着温度升高,2种珊瑚共生细菌的变化趋势一致,但珊瑚中出现潜在致病菌Vibrio的温度不同,F.halicora在34℃胁迫时出现,A.cytherea在30℃和34℃胁迫时均出现。根据上述结果推测,珊瑚共生细菌的差异性可能是导致块状珊瑚比枝状珊瑚更耐受高温的重要原因。     

FeOOH Nanocubes Anchored on Carbon Ribbons for Use in Li/O2 Batteries

A composite of FeOOH nanocubes anchored on carbon ribbons has been synthesized and used as a cathode material for Li/O₂ batteries. Fe²⁺ ion-exchanged resin serves as a precursor for both FeOOH nanocubes and carbon ribbons, which are formed simultaneously. The as-prepared FeOOH cubes are proposed to have a core–shell structure, with FeOOH as the shell and Prussian blue as the core, based on information from XPS, TEM, and EDS mapping. As a cathode material for Li/O₂ batteries, FeOOH delivers a specific capacity of 14816 mA h g⁻¹_cathode with a cycling stability of 67 cycles over 400 h. The high performance is related to the low overpotential of the oxygen reduction/evolution reaction on FeOOH. The cube structure, the supporting carbon ribbons, and the -OOH moieties all contribute to the low overpotential. The discharge product Li₂O₂ can be efficiently decomposed in the FeOOH cathode after a charging process, leading to higher cycling stability. Its high activity and stability make FeOOH a good candidate for use in non-aqueous Li/O₂ batteries.     

Synthesis,characterization, and electrochemistry of monophosphine‐containing diiron propane‐1,2‐dithiolate complexes related to the active site of [FeFe]‐hydrogenases

Five monophosphine‐substituted diiron propane‐1,2‐dithiolate complexes as the active site models of [FeFe]‐hydrogenases have been synthesized and characterized. Reactions of complex [Fe₂(CO)₆{μ‐SCH₂CH(CH₃)S}] ( 1 ) with a monophosphine ligand tris(4‐methylphenyl)phosphine, diphenyl‐2‐pyridylphosphine, tris(4‐chlorophenyl)phosphine, triphenylphosphine, or tris(4‐fluorophenyl)phosphine in the presence of the oxidative agent Me₃NO·2H₂O gave the monophosphine‐substituted diiron complexes [Fe₂(CO)₅(L){μ‐SCH₂CH(CH₃)S}] [L = P(4‐C₆H₄CH₃)₃, 2 ; Ph₂P(2‐C₅H₄N), 3 ; P(4‐C₆H₄Cl)₃, 4 ; PPh₃, 5 ; P(4‐C₆H₄F)₃, 6 ] in 81%–94% yields. Complexes 2 – 6 have been characterized by elemental analysis, spectroscopy, and X‐ray crystallography. In addition, electrochemical studies revealed that these complexes can catalyze the reduction of protons to H₂ in the presence of HOAc.