DYNAMICAL ANALYSIS OF A SINGLE-SPECIES POPULATION MODEL WITH MIGRATIONS AND HARVEST BETWEEN PATCHES

A single-species population model with migrations and harvest between the protected patch and the unprotected patch is formulated and investigated in this paper. We study the local stability and the global stability of the equilibria. The research points out, under some suitable conditions, the singlespecies population model admits a unique positive equilibrium, which is globally asymptotically stable. We also derive that the trivial solution is globally asymptotically stable when the harvesting rate exceeds the threshold. Further,we discuss the practical effects of the protection zones and the harvest. The main results indicate that the protective zones indeed eliminate the extinction of the species under some cases, and the theoretical threshold of harvest to the practical management of the endangered species is provided as well. To end this contribution and to check the validity of the main results, numerical simulations are separately carried out to illustrate these results.     

关于L2(Rd)中仿射子空间小波标架的一个注记

研究了L2(Rd)的有限生成仿射子空间中小波标架的构造.证明了任意有限生成仿射子空间都容许一个具有有限多个生成元的Parseval小波标架,并且得到了仿射子空间是约化子空间的一个充分条件.对其傅里叶变换是一个特征函数的单个函数生成的仿射子空间,得到了与小波标架构造相关的投影算子在傅里叶域上的明确表达式,同时也给出了一些例子.     

Dynamic relaying properties of a β-turn peptide in long-range electron transfer

The relay stations play a significant role in long-range charge hopping transfer in proteins. Although studies have clarified that many more protein structural motifs can function as relays in charge hopping transfers by acting as intermediate charge carriers, the relaying properties are still poorly understood. In this work, taking a β-turn oligopeptide as an example, we report a dynamic character of a relay with tunable relaying properties using the density functional theory calculations. Our main finding is that a β-turn peptide can serve as an effective electron relay in facilitating long-range electron migration and its relay properties is vibration-tunable. The vibration-induced structural transient distortions remarkably affect the lowest occupied molecular orbital (LUMO) energy, vertical electron affinity and electron-binding mode of the β-turn oligopeptide and the singly occupied molecular orbital (SOMO) energy of the corresponding electron adduct and thus the relaying properties. Different vibration modes lead to different structural distortions and thus have different effects on the relaying properties and ability of the β-turn peptide. For the relaying properties, there approximately is a linear negative correlation of electron affinity with the LUMO energy of the β-turn or the SOMO energy of its electron adduct. Besides, such relaying properties also vary in the vibration evolution process, and the electron-binding modes may be tunable. As an important addition to the known static charge relaying properties occurring in various protein structural motifs, this work reports the dynamic electron-relaying characteristics of a β-turn oligopeptide with variable relaying properties governed by molecular vibrations which can be applied to different proteins in mediating long-range charge transfers. Clearly, this work reveals molecular vibration effects on the electron relaying properties of protein structural motifs and provides new insights into the dynamics of long-range charge transfers in proteins. © 2018 Wiley Periodicals, Inc.     

Ultrasensitive amperometric aptasensor for the epithelial cell adhesion molecule by using target-driven toehold-mediated DNA recycling amplification

An amperometric aptasensor is reported for the electrochemical determination of the epithelial cell adhesion molecule (EpCAM). It is based on a combination of EpCAM-driven toehold-mediated DNA recycling amplification, the specific recognition of EpCAM aptamer, and its binding to EpCAM. Hairpin probe 1 (Hp1) with a toehold region was modified with a 5′-thiol group (5’-SH) and self-assembled onto the surface of a gold electrode. Upon addition of EpCAM, the probe A (a 15-mer) is liberated from the aptamer/probe A complex and then hybridizes with the toehold domain of Hp1. This results in the exposure of another toehold for further hybridizing with hairpin probe 2 (Hp2) to displace probe A in the presence of Hp2 that was labeled with the electrochemical probe Methylene Blue (MB). Subsequently, liberated probe A is hybridized again with another Hp1 to start the next round of DNA recycling amplification by reusing probe A. This leads to the formation of plenty of MB-labeled DNA strands on the electrode surface and generates an amplified current. This 1:N probe-response amplification results in ultrasensitive and specific detection of EpCAM, with a 20 pg·mL^?1 detection limit. The electrode is highly stable and regenerable. It was successfully applied to the determination of EpCAM in spiked human serum, urine and saliva, and thus provides a promising tool for early clinical diagnosis.

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Graphical abstract Schematic illustration of the electrochemical detection for EpCAM. The method is based on aptamer-based recognition and EpCAM-driven toehold-mediated DNA recycling amplification. Hp1: Hairpin probe 1; Hp2: Hairpin probe 2; MB: Methylene blue; MCH: 6-Mercapto-1-hexanol; EpCAM: Epithelial cell adhesion molecule.

     

Synthesis and biological activity of triorganogermanium substituted heteropolytungstates

Four new compounds, [Me₄N]₄H₅[(RGe)₃(XW₉O_34−n)₂] (R = HOOCCH₂CH₂, HOOCCH₂(m-NO₂C₆H₄)CH, X = P, n = 0; X = Sb, n = 1) have been prepared from trichlorogermanium precursors and lacunary polyoxometallates ([PW₉O₃₄]⁹⁻ and [SbW₉O₃₃]⁹⁻). The products were characterized by means of elemental analysis, IR spectroscopy, ¹H NMR and ¹⁸³W NMR spectroscopy. ¹⁸³W NMR spectra of the complexes support the stoichiometry of the new heteropolyanions and the probable retention of the XW₉ units in water. The organogermanium substituted complexes showed promising activity against two human tumor cell lines (leucocythemia Hela cells and S180 cells) in vitro and [Me₄N]₄H₅[(HOOCCH₂CH₂Ge)₃(SbW₉O₃₃)₂] exhibited some certain antitumoral activity in vivo and can increase the immune ability of the spleen.     

Analysis of expression and comparative profile of normal placental tissue proteins and those in preeclampsia patients using proteomic approaches

Preeclampsia (PE) is a complex and serious condition of pregnancy. Trophoblasts in human placenta can be separated and collected by laser capture micro-dissection (LCM). Protein in trophoblasts have been extracted and separated by sodium dodecyl sulfate polyacrylamide gel electrophoresis (SDS-PAGE), finally 962 unique proteins are identified by liquid chromatography coupled to mass spectrometry (LC-MS/MS). Comparison of differential expressed proteins in normal and those in PE are investigated. Two-dimensional electrophoresis (2DE) and MS were used to identify differential expressed proteins. 13 differential expressed proteins include signal transduction protein, molecular chaperone, cell skeleton proteins are identified, in which 3 proteins are down-regulated and 10 proteins are up-regulated. They might be correlated with the cause of PE.     

对甲氧基偶氮苯衍生物的核磁共振表征

用一维１ Ｈ ＮＭＲ、１３Ｃ ＮＭＲ 方法研究了对甲氧基偶氮苯衍生物的结构, 并通过二维１ Ｈ－ １ Ｈ 同核相关谱（ＣＯＳＹ） 、１３ Ｃ－ １ Ｈ 异核相关谱（ ＨＥＴＣＯＲ） 及１３Ｃ－ １ Ｈ 异核远程相关谱进一步地确定了该类衍生物的１ Ｈ 谱和１３ Ｃ 谱中各谱峰的归属, 为研究侧链液晶聚合物结构提供了有价值的数据。     

三嗪-吡唑钌配合物的合成、结构及光催化活性

光催化具有无污染、安全高效等优点,已成为环保领域的研究热点。 本文选择2,4-二(3,5-二甲基吡唑)-6-二乙基胺-1,3,5-三嗪(L₁)和2, 6-二[3-(5-甲基吡唑基)]吡啶(L₂)为配体、以RuCl₃为金属源,合成了3种配合物[Ru(L₁)Cl₃](1)、[Ru(L₂)₂]·Cl₃(2)和[Ru(L₂)₂]·(H₂BTC)·(HBTC)·H₂O(3),同时进行了IR、UV-Vis、TG及X射线衍射等表征,并对配合物在光催化降解罗丹明B方面进行了探讨,结果表明,配合物13均具有一定程度的光降解效果,降解效果分别为46.8%、44.7%和40.4%。 相同条件下,加入H₂O₂后的配合物13的降解效果比金属盐、配体及H₂O₂单独存在时的降解效果好。     

The Schiff Base Probe With J-aggregation Induced Emission for Selective Detection of Cu2+

Here, three Schiff bases 3a-c, differing by the substitutions (–H, –Cl, and –N(CH₃)₂) on the phenyl ring, have been designed and synthesized via the reaction of ortho-aminophenol with benzaldehyde, 2,4-dichlorobenzaldehyde and para-dimethylamine benzaldehyde in 1:1 molar ratio with favourable yields of 89–92%, respectively. Their structural characterizations were studied by FT-IR, NMR, MALDI-MS and elemental analysis. The fluorescence behaviours of compounds 3a and 3b exhibited a severe aggregation caused quenching (ACQ) effect in EtOH/water system. On the contrary, compound 3c had an obvious J-aggregation induced emission (AIE) feature in EtOH/water mixture (v/v?=?1:1), and exhibited excellent sensitivity and anti-interference towards Cu²⁺ with the limit of detection (LOD) of 1.35?×?10^–8 M. Job’s plot analysis and MS spectroscopic study revealed the 2:1 complexation of probe 3c and Cu²⁺. In addition, probe 3c was successfully applied to the determination of Cu²⁺ in real aqueous samples.