The critical exponent of degenerate parabolic systems

The Cauchy problemu _t=u +v ^p ,v _t =v +u ^q is studied, wherex R ^N , 0 <t < and ,,p andq, are positive exponents. It is proved that ifp,q 1 and 1 <pq < 1 + 2 max(p + ,q + )/n then every nontrivial non-negative solution is not global in time; whereaspq > 1 + 2 max(p + , q + )/n then there exist both positive global solutions and non-global solutions. In addition, the decaying in time of solutions tou _t,=u inR ⁿ × (0, ), an equation which occurs naturally in our study of above systems, is studied and solutions with the fastest decaying in time are constructed.     

新型含氟液晶类化合物的质谱研究

本文报道66个新型含氟液晶类化合物的电子轰击电离质谱(EIMS). 66个化合物分为三个类型, 即炔醚类, 炔酯类和炔类. 并利用MS/MS联用技术和高分辨质谱(HRMS)数据研究了三种不同类型化合物的裂解机理, 并总结其规律性, 结果将有助于未知的类似化合物的结构鉴定 .     

Transmission Frequency Properties of Elastic Waves along a Hetero-Phononic Crystal Waveguide

We investigate the propagation properties of hetero-phononic crystal waveguides by the improved eigen-mode matching theory, which can be used at same time to calculate both the transmission （reflection） coefficient and band structure. The numerical results show that the transmission frequency range is the same as the common range for two uniform waveguides composing the hereto-system, and the gap of any composite waveguide is also the gap of the hetero-phononic crystals waveguide.     

Direct observation of substrate-enzyme complexation by surface forces measurement

The substrate-enzyme complexation of heptaprenyl diphosphate synthase was directly investigated using colloidal probe atomic force microscopy (AFM) and a quartz crystal microbalance (QCM) in order to obtain new insights into the molecular mechanism of the enzyme reaction. This enzyme is composed of two dissociable subunits that exhibit a catalytic activity only when they are associated together in the presence of a cofactor, Mg2+, and a substrate, farnesyl diphosphate (FPP). The QCM measurement revealed that FPP was preferentially bound to subunit II in the presence of Mg2+, while the AFM measurement showed that the adhesive force between the subunits was observed only in the presence of both Mg2+ and FPP. This is the first direct demonstration of the specific interaction involved in the enzyme reaction. The dependence of the Mg2+ concentration on the specific interaction between subunits I and II well agreed with that on the enzyme activity of heptaprenyl diphosphate synthase. This indicated that the observed adhesive forces were indeed involved in the catalytic reaction of this enzyme. On the basis of these results, we discussed the processes involved in the substrate-enzyme complexation. The first, the substrate FPP bound to subunit II using Mg2+, followed by the formation of the subunit I-FPP-Mg2+-subunit II complex. Our study showed a very useful methodology for examining the elemental processes of biological reactions such as an enzyme reaction.     

Acoustic metasurface for refracted wave manipulation

Here we present a design of a transmitted acoustic metasurface based on a single row of Helmholtz resonators with varying geometric parameters. The proposed metasurface can not only steer an acoustic beam as expected from the generalized Snell's law of refraction, but also exhibits various interesting properties and potential applications such as insulation of two quasi-intersecting transmitted sound waves, ultrasonic Bessel beam generator, frequency broadening effect of anomalous refraction and focusing.     

扩展HK网络结构与同步能力的研究

研究两种高聚类系数无标度网络演化机理对网络同步能力的影响．首先,以Holme和Kim（HK）模型为基础,提出了度分布和聚类系数均可调的扩展HK模型（EHK模型）．扩展HK模型将HK模型中的三角结构扩展到了旧节点之间,解决了HK模型边的演化只存在新旧节点之间以及每个时间步加入网络节点的边数固定的不足．其次,研究了三角结构演化机理对网络同步能力的影响．最后,仿真研究发现三角结构的演化机理降低了两类无权网络的同步能力．     

Cyclodextrin-functionalized ordered porous block copolymer films: Preparation and property

Ordered porous block copolymer films(PBCFs) have attracted much attention because of their potential applications in several fields. In this paper, we first reported a non-destructive, controllable, and efficient approach for preparation of β-cyclodextrin(β-CD)-functionalized PBCFs(β-CD-PBCFs). The key point of the approach is to incorporate β-CD units into the hydrophilic segment of amphiphilic block copolymers before the preparation of films. β-CD-PBCFs with structural integrity and controllable pore parameters were fabricated through combining of self-assembly and breath figure methods. And then, the effective adsorption capacity of β-CD-PBCFs toward Congo red was confirmed through UV-Vis spectroscopy and was found to be affected by β-CD content and solution p H values. Adsorption kinetic results showed that the adsorption behavior of β-CD-PBCFs was consistent with the pseudo-second-order kinetic model and the chemisorption mechanism.     

Quantitative determination of ginsenoside Rh2 in rat biosamples by liquid chromatography electrospray ionization mass spectrometry

Ginsenoside Rh₂ is a “hot” natural compound with great potential as a new anti-cancer drug based on abundant pharmacological experiments. However, no systemic pharmacokinetic study of Rh₂ was reported because current analysis methods could not fully meet the requirements. Thus, we developed a simple LC/MS method with highly improved sensitivities for the determination of Rh₂ in rat plasma, bile, urine, feces and most tissues. The tissues and feces were firstly homogenized mechanically using buffer and methanol as the media, respectively. Plasma, bile, urine and tissue homogenates were extracted with diethyl ether for sample preparation. Feces homogenates were directly deproteinized with acetonitrile. The subsequent analysis procedures were performed on a Shimadzu LCMS2010A system (electrospray ionization single quadrupole mass analyzer), with an ODS column (150 mm × 2.0-mm i.d., 5 μm) plus a C18 guard column for separation and ammonium chloride (500 μmol) as mobile phase additive. The proportions of mobile phase were changed timely according to gradient programs. Chlorinated adducts of molecular ions [M + Cl]⁻ of Rh₂ at m/z 657.35 and internal standard digitoxin at m/z 799.55 were monitored in selective ion monitoring mode of negative ions. The method was validated to be accurate, precise and rugged with good linearity in all matrices, according to the FDA guidelines. The lower limits of quantitation in rat plasma, urine and feces were 0.2, 0.2 and 20 ng/mL respectively. Stability studies were also performed, indicating that there were no stability-related problems in the analytical procedure of Rh₂. The proposed method was successfully applied to the preclinical pharmacokinetic research of Rh₂ in rats, including plasma kinetics, tissue distribution and excretion studies.     

Thermal Conduction in a Single Polyethylene Chain Using Molecular Dynamics Simulations

Research on the thermal conduction in a single polymer chain is significant for the improvement of the thermal property of bulk polymer materials. We calculate the thermal conductivity of a single polyethylene （PE） chain by using both the Green-Kubo approach and a nonequilibrium molecular dynamics simulation method. The results suggest that the thermal conductivity of an individual polymer chain is very high although bulk PE is a thermal insulator, even divergent in our case. Moreover, the thermal conductivity of PE chains is observed to increase with the chain length.     

小型天然气膨胀液化流程参数优化

天然气是一种优质、洁净的能源,因其热值高、燃烧产物对环境污染少,被认为是二十一世纪的首选能源。小型天然气液化装置是国际上研究的一个热点。本文从小型液化流程装置的要求出发,提出小型天然气膨胀液化流程,并以液化单位千摩尔天然气的比功耗为系统性能评价指标,对影响比功耗的主要参数进行分析优化,为流程参数的选择提供理论指导。