The generalized quasilinearization method for second-order three-point boundary value problems

In this paper, we obtain the existence and uniqueness results for general second-order three-point boundary value problems by applying the method of upper and lower solutions together with Leray–Schauder degree, as well as obtaining monotone iteration schemes which converge quadratically to the unique solution of some specific second-order three-point boundary value problem by using the method of quasilinearization.     

Chaos induced by regular snap-back repellers

This paper is concerned with chaos induced by regular snap-back repellers. One new criterion of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces is established. By employing this criterion, the nondegenerateness assumption in the Marotto theorem established in 1978 is weakened. In addition, it is proved that a regular snap-back repeller and a regular homoclinic orbit to a regular expanding fixed point in finite-dimensional spaces imply chaos in the sense of Li-Yorke. An illustrative example is provided with computer simulations.     

A simplicial branch and duality bound algorithm for the sum of convex–convex ratios problem

This article presents a simplicial branch and duality bound algorithm for globally solving the sum of convex–convex ratios problem with nonconvex feasible region. To our knowledge, little progress has been made for globally solving this problem so far. The algorithm uses a branch and bound scheme where the Lagrange duality theory is used to obtain the lower bounds. As a result, the lower-bounding subproblems during the algorithm search are all ordinary linear programs that can be solved very efficiently. It has been proved that the algorithm possesses global convergence. Finally, the numerical experiments are given to show the feasibility of the proposed algorithm.     

“薄膜即是界面，界面即是薄膜”：二维有机半导体晶体的研究进展

自首次于聚乙炔发现导电现象以来,具有共轭结构的有机半导体材料赖其种类丰富多样、 制备工艺简捷低耗、以及优异的机械柔性等特点,在“后硅时代”中有望以先进光电子设备展现 其广阔前景,因而多年来备受学界和产业界的瞩目。如何进一步阐明有机半导体中结构和性能之 间的关系,探索电荷载流子微观动力学行为,构筑高性能、新功能的有机光电子器件,是当下有 机电子学领域的前沿核心问题,也是保证其持续发展的基石。近年来,二维有机半导体晶体材料 在秉持高度有序的分子排列与极低的杂质缺陷浓度等优点的同时,更是以“薄膜即是界面、界面 即是薄膜”为一帜,克服传统体材料在研究与应用中的瓶颈,为揭示材料构性关系及其中基本物 理过程提供了良好的平台,也是实现多样化的新型有机光电子器件的理想材料,有望为微纳电子 领域带来新一轮变革。本文从二维有机半导体晶体的制备工艺、电荷载流子微观动力学行为,再 到新型器件的光电功能应用等方面,综述了最新研究进展,做出总结和展望,并提出目前面临的 挑战及未来研究方向,旨在为进一步深入理论研究,结合有机材料与先进技术,推动有机电子学 的发展提供有益帮助。     

基于双平行马赫-曾德尔调制器和平衡光电探测器的四倍频可调对称三角形函数波形信号发生器

提出并研究了一种基于双平行马赫-曾德尔调制和平衡光探测的四倍频可调对称三角形函数波形信号发生器.将调制非线性和多参量调控应用到可调对称三角形波形信号的产生中,可实现四倍频信号输出.通过调整调制系数β和时延量τ,可实现光电流表达式向目标函数波形微波信号傅里叶展开式前三项的近似表征,最后得到四倍于射频调制频率的周期性三角形波形信号.结合仿真研究,实现了5 GHz射频调制频率下,20 GHz 三角形波形信号的输出,通过引入拟合误差对所获得的时域波形进行误差估计,所提出的发生器可实现对称系数20％到80％之间的波形输出,且可保证拟合误差小于8％.     

降雪对地表附近自由空间量子信道的影响及参数仿真

量子通信具有覆盖面广、安全保密的优势,是当前通信领域国内外的研究热点.在自由空间量子通信过程中,光量子信号需要在地表上空一定高度进行传输,因此各种环境因素,例如降雪、沙尘暴、降雨、雾霾、浮尘等,不可避免地会影响量子通信性能.然而,迄今为止,降雪对地表附近自由空间量子信道影响的研究尚未展开.为此,根据降雪的强度,将降雪分为小雪(S1)、中雪(S2)、大雪(S3)和暴雪(S4)四个等级.由于空中正在飘落雪花对光量子信号具有能量吸收作用,称为消光效应,不同强度的降雪,其消光效应对自由空间光量子信号的影响不同.本文首先建立了不同等级降雪对光量子信号消光效应的数学模型;然后建立了因降雪导致的自由空间消光衰减定量关系,信道极限生存函数、不同降雪强度下的信道容量和量子误码率等性能参数受降雪影响的变化情况;最后建立了降雪强度、传输距离与链路衰减、幅值阻尼信道容量、信道生存函数以及信道误码率的数学模型.仿真结果表明,当降雪强度为2.1 mm/d(S1),传输距离为2.2 km时,通信链路衰减为0.0362,信道容量为0.7745,信道生存函数为0.2329,信道误码率为0.0105.当降雪强度为3.8 mm/d(S2)。传输距离为3.5 km时,通信链路衰减为0.1326,信道容量为0.4922,信道生存函数为0.2099,信道误码率为0.019.由此可见,降雪对量子通信性能有不同程度的影响.所以在实际应用中应根据降雪强度大小,自适应调节量子通信相关参数,提高量子通信的可靠性.     

Ternary and binary copper(II) complexes: synthesis,characterization, ROS-inductive,proteasome inhibitory,and anticancer properties

Three ternary copper(II) complexes, [Cu(phen)(L-phe)Cl]·2H₂O, [Cu(phen)(L-leu)Cl]·4½H₂O, and [Cu(phen)(L-tyr)Cl]·3H₂O, and four binary copper(II) complexes, [Cu(phen)Cl₂]_, Cu(L-phe)₂·½H₂O, Cu(L-leu)₂·½H₂O, and Cu(L-tyr)₂·H₂O (where phen = 110-phenanthroline, L-phe = L-phenylalanine, L-tyr = L-tyrosine, L-leu = L-leucine and Cl^- = chloride), were synthesized and characterized by elemental analysis, spectroscopic techniques (FTIR, UV–visible, fluorescence spectroscopy), magnetic susceptibility, molar conductivity, and lipophilicity measurement. X-ray diffraction determination of a single crystal of [Cu(phen)(L-tyr)Cl] showed two independent molecules in the asymmetric unit, each with the same distorted square pyramidal geometry about copper(II). p-Nitrosodimethylaniline assay revealed that the three ternary complexes were better inducers of reactive oxygen species over time than binary complexes, CuCl₂, and free ligands. All the copper(II) complexes in this series inhibited the three proteolytic activities in the order Trypsin-like > Caspase-like > Chymotrypsin-like. In terms of anticancer properties, the copper(II)-phen complexes had GI50 values of less than 4 μM against MCF-7, HepG2, CNE1 and A549 cancer cell lines, more potent than cisplatin.     

Enzyme-free colorimetric assay for mercury(II) using DNA conjugated to gold nanoparticles and strand displacement amplification

The authors describe a colorimetric method for the determination of Hg(II) ion. It is based on the color change from red to colorless as displayed by gold nanoparticle (AuNP) modified with thymine - rich DNA. Signal amplification is accomplished by free strand displacement recycling. In this strategy, Hg(II) unfolds the arch-trigger duplex due to the high affinity between Hg(II) and the thymines to form T-Hg(II)-T structures, thereby causing the release of trigger. The liberated trigger unfolds the hairpin structure of H1, and unfolded H1 further unfolds with H2. As a result, the H2 hairpin displaces trigger, and the released trigger unfolds another H1. This results in strong and enzyme-free strand displacement recycling amplification. The aggregation of DNA-AuNPs occurs in the presence of the duplex formed by hairpins H2 and H1. This results in a color change from red to colorless that can be visually observed. Under optimal conditions, the assay has a detection range over 4 orders of magnitude and a 3.4 nM detection limit. The assay is selective, sensitive, rapid and cost-effective. In our perception, it represents a useful platform for determination of Hg(II).

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Graphical abstract Schematic presentation of the  simple, rapid, low cost colorimetric detection of mercury(II) based on enzyme-free strand displacement amplification along with DNA-labeled AuNP.

     

Cu分隔开的Pd单原子用于乙炔选择加氢:Cu担载量的影响

大量乙烯中少量乙炔的去除是化工生产中的重要过程之一,理想途径是将其选择加氢生成乙烯.负载型Pd催化剂因具有很高的乙炔转化率而被广泛用于该过程,但乙烯选择性很低,同时会使原料气中的乙烯被加氢,造成原料气的浪费.采用其它元素对Pd纳米粒子表面修饰,覆盖部分活性位,可以在一定程度上提高乙烯选择性,但是会大大降低Pd的利用率.因此,制备兼具高活性和高选择性且经济实用的催化剂,仍是这一过程亟待解决的主要问题之一.我们的前期工作中,将Pd与IB族金属(Au,Ag,Cu)分别结合制备得到了一系列含Pd的合金单原子催化剂(SAC),发现它们在大量乙烯存在条件下的乙炔选择加氢反应中表现出优异的催化性能.其中,Pd的用量仅为ppm级别,大大提高了Pd的利用率.作为IB族最为廉价的金属,Pd与Cu形成的合金SAC在提高Pd原子利用率的同时,能够进一步降低催化剂的经济成本.然而,当形成合金SAC时,Cu/Pd原子比例的极限值仍然不确定.本文通过固定Pd的担载量,采用简单的等体积共浸渍的方法,制备了一系列不同Cu/Pd原子比例的氧化硅负载的双金属催化剂.首先,我们采用程序升温还原(TPR)和X射线衍射(XRD)对催化剂的还原能力和双金属纳米粒子的尺寸进行了考察.进一步,采用X射线吸收光谱(XAS,包括EXAFS和XANES)对双金属催化剂中Pd的配位环境进行了分析.最后,结合它们在大量乙烯存在条件下的乙炔选择加氢反应中的催化性能,对形成合金SAC时Cu/Pd原子比例进行了讨论.TPR结果显示,Cu与Pd结合时会促进双金属纳米粒子的还原.XRD结果表明,随着Cu含量的降低,双金属纳米粒子的尺寸明显减小.XANES结果证实,当Pd与Cu结合时,Pd会带有部分负电荷,这也与Pd的电负性大于Cu相一致.通过对EXAFS拟合结果进行分析,我们发现当Cu/Pd的原子比例≥40/1时,Pd原子可以被Cu原子完全分隔开,形成含Pd的合金SAC,使其在大量乙烯存在条件下的乙炔选择加氢反应中表现出优异的催化性能.通过对还原温度的考察,我们发现还原温度由250 oC升高到400 oC时,对同一催化剂的催化性能影响不大;EXAFS拟合结果显示,对比分别经过250和400 oC还原后的催化剂,Pd的配位环境变化不明显,这可能是导致催化性能相似的主要原因.     

Expression and Enzyme Activity Detection of a Sepiapterin Reductase Gene from <Emphasis Type="Italic">Musca domestica</Emphasis> Larva

Tetrahydrobiopterin (BH4) is an essential cofactor for aromatic acid hydroxylases and nitric oxide synthase. Sepiapterin reductase (SPR) catalyzes the final steps of BH4 biosynthesis. Studies on SPR from several insects and other organisms have been reported. However, thus far, enzyme activity of SPR in Musca domestica is kept unknown. In this study, 186 differentially expressed genes including SPR gene from Musca domestica (MDSPR) were screened in subtractive cDNA library. The MDSPR gene was cloned, and the recombinant MDSPI16 protein was expressed as a 51-kDa protein in soluble form. The MDSPR exhibited strong activity to the substrate sepiapterin (SP). The values of V_max and K_m of the MDSPR for SP were 6.83 μM/min and 23.48 μM, and the optimum temperature and pH of MDSPR were 50 °C and 4.0, respectively. This study provides new hypotheses and methods for the production of BH4 using insect-derived SPR.