On the Well-Posedness for Stochastic Schr(o)dinger Equations with Quadratic Potential

The authors investigate the influence of a harmonic potential and random perturbations on the nonlinear Schr(o)dinger equations.The local and global well-posedness are proved with values in the space ∑(Rn) =｛f ∈ H1(Rn),｜ · ｜f ∈ L2(Rn)}.When the nonlinearity is focusing and L2-supercritical,the authors give sufficient conditions for the solutions to blow up in finite time for both confining and repulsive potential.Especially for the repulsive case,the solution to the deterministic equation with the initial data satisfying the stochastic blow-up condition will also blow up in finite time.Thus,compared with the deterministic equation for the repulsive case,the blow-up condition is stronger on average,and depends on the regularity of the noise.If φ =0,our results coincide with the ones for the deterministic equation.     

Selective separation of lambdacyhalothrin by porous/magnetic molecularly imprinted polymers prepared by Pickering emulsion polymerization

Porous/magnetic molecularly imprinted polymers (PM‐MIPs) were prepared by Pickering emulsion polymerization. The reaction was carried out in an oil/water emulsion using magnetic halloysite nanotubes as the stabilizer instead of a toxic surfactant. In the oil phase, the imprinting process was conducted by radical polymerization of functional and cross‐linked monomers, and porogen chloroform generated steam under the high reaction temperature, which resulted in some pores decorated with easily accessible molecular binding sites within the as‐made PM‐MIPs. The characterization demonstrated that the PM‐MIPs were porous and magnetic inorganic–polymer composite microparticles with magnetic sensitivity (M_s = 0.7448 emu/g), thermal stability (below 473 K) and magnetic stability (over the pH range of 2.0–8.0). The PM‐MIPs were used as a sorbent for the selective binding of lambdacyhalothrin (LC) and rapidly separated under an external magnetic field. The Freundlich isotherm model gave a good fit to the experimental data. The adsorption kinetics of the PM‐MIPs was well described by pseudo‐second‐order kinetics, indicating that the chemical process could be the rate‐limiting step in the adsorption of LC. The selective recognition experiments exhibited the outstanding selective adsorption effect of the PM‐MIPs for target LC. Moreover, the PM‐MIPs regeneration without significant loss in adsorption capacity was demonstrated by at least four repeated cycles.     

Electrochemically time-dependent oxidative coupling/coupling-cyclization reaction between heterocycles: tunable synthesis of polycyclic indole derivatives with fluorescence properties

Science China Chemistry - A mild and practical protocol for selectively time-dependent dehydrogenative C-C coupling, as well as tandem coupling-cyclization reaction between indoles or/and other...     

用于人类脂肪干细胞的纯化和体外长期培养的聚合物涂层

采用紫外固化法制备了基于丙烯酸酯类水凝胶的聚合物涂层(PC),并用X射线光电子能谱(XPS)、水接触角(WCA)和原子力显微镜(AFM)分别对PC进行了化学组成和表面性能的表征.在PC表面进行了人类脂肪干细胞(h ASC)的体外长期培养扩增,得到的第3代细胞的生物学表征结果表明,干细胞在PC表面能正常黏附生长,流式细胞仪检测发现干细胞对特征标记物CD49d,CD73,CD105的阳性显性比例较高,对HLA-DR和CD31几乎不显性,说明扩增的干细胞具有h ASC特征.对PC上扩增的干细胞进行诱导分化,并用油红O、茜素红和阿利新蓝分别进行染色分析,结果表明,该干细胞保留了h ASC的多能特性:能分化为成脂、成骨和成软骨细胞.含有单体甲基丙烯酰氧乙基三甲基氯化铵(DMC)、甲基丙烯酸环己酯(CHMA)和甲基丙烯酸-2-(二乙氨基)乙酯(DEAEMA)的PC2(质量比为3∶1∶2)在用于h ASC体外长期培养时,比其它PC和TCP更有利于细胞的黏附和增殖,纯化细胞,保持其多能性.实时荧光定量PCR(RT-q PCR)的分析表明PC2上得到的细胞更容易向成骨和成软骨细胞分化.     

Synthesis of polypyrrole micro/nanofibers via a self-assembly process

Novel polypyrrole (PPy) micro/nanofibers were synthesized via a self-assembly process by using 4-hydroxy-3-[(4-sulfo-1-naphthalenyl) azo]-1-naphthalenesulfonic acid (Acid Red B) as dopant and ferric chloride (FeCl₃) as oxidant. Experimental conditions, including the concentration of the dopant, reaction temperature and stirring state have been investigated for their influences on the morphology of the synthesized PPy micro/nanofibers. The products were characterized by scanning electron microscopy, transmission electron microscopy and Fourier-transform infrared spectroscopy. The formation mechanism of micro/nanofibers was studied. It is believed that the micelles formed by the dopant and pyrrole monomer act as templates during the synthesis process. Two functions of aggregation and synthesis are proposed in the reaction system simultaneously, and the morphologies of micro/nanofibers are the co-operations of these two functions. The maximum conductivity value of the PPy micro/nanofibers was 8.56 S cm^?1     

样品校准法在单波长椭偏仪中的应用

椭偏仪是薄膜测量的重要工具。从模拟和实验两方面,描述一种新颖的单波长椭偏仪的校准方法。该方法的基本思路是:如果被测样品的相关信息(折射率n,吸收系数k,厚度d)已知,则可以通过测量光强变化的傅里叶系数,采用最小二乘法原理反演出此时椭偏系统的信息(即校准参数,包括起偏器方位角P,检偏器方位角A,波片起始旋转角Cs,波片位相延迟δ,系统入射角θ0)。利用校准得到的系统参数和测量未知样品得到的光强傅里叶系数,求得未知样品的厚度。该方法具有操作简单、节约成本等优点。分别针对2～6个样品尝试了校准,对该校准方法做了模拟分析。将该方法用于实际测量,考证校准后的测量效果,并做了误差分析,最大误差为0.26nm。     

On the Well-Posedness for Stochastic Schr¨odinger Equations with Quadratic Potential

The authors investigate the influence of a harmonic potential and random perturbations on the nonlinear Schrödinger equations. The local and global well-posedness are proved with values in the space Σ(? ⁿ ) = {f ∈ H ₁(? ⁿ ), |·|f ∈ L ²(? ⁿ )}. When the nonlinearity is focusing and L ²-supercritical, the authors give sufficient conditions for the solutions to blow up in finite time for both confining and repulsive potential. Especially for the repulsive case, the solution to the deterministic equation with the initial data satisfying the stochastic blow-up condition will also blow up in finite time. Thus, compared with the deterministic equation for the repulsive case, the blow-up condition is stronger on average, and depends on the regularity of the noise. If ? = 0, our results coincide with the ones for the deterministic equation.     

Performance of phase compensated coherent free space optical communications through non-Kolmogorov turbulence

The bit-error-rate (BER) performance of coherent free-space optical (FSO) links employing phase compensation techniques is investigated in weak non-Kolmogorov turbulence. Assuming that the amplitude fading and phase fluctuation follow lognormal model and Gaussian distribution respectively and using the expression of non-Kolmogorov turbulence in terms of Zernike polynomials, the signal-to-noise ratio (SNR) at the coherent receiver is analyzed and as a special case, a new closed-form expression using chi-square distribution is obtained. Thus, the influence of different compensation modes and normalized receiver diameter on BER performance is evaluated and an optimum normalized receiver diameter is suggested to achieve the minimum BER. Moreover, the impact of outer scale L₀ and the exponent value α in non-Kolmogorov spectrum is studied with the optimum diameter, which reveals that the BER has an obvious decrease with larger values of L₀ and α.     

HPDA/Zn as a CREB Inhibitor for Ultrasound Imaging and Stabilization of Atherosclerosis Plaque†

Thrombosis, secondary to rupture of unstable plaque, is a fatal risk factor for myocardial infarction and ischemic stroke. At present, more novel methods are needed for the diagnosis and treatment of vulnerable plaque. Here, we report a hollow polydopamine/Zn (HPDA/Zn) ultrasound contrast agent. Through western-blot, Elisa, and other experiments, we found that in addition to having a good contrast-enhancement capability in ultrasound imaging in vitro and in vivo, HPDA/Zn also has the effect of reducing the expression of CREB. CREB protein and its downstream-regulated proteins and factors are closely related to the stability of plaque. HPDA/Zn has the effect of reducing the expression of CREB protein, which leads to the decrease of expression of MMP-9, the regulatory protein downstream of the CREB protein. In addition, it also reduces the secretion of inflammatory factors hs-CRP and IL-17A. Thus, HPDA/Zn can stabilize plaque by inhibiting CREB and reducing plaque vulnerable markers and inflammatory factors. In a word, HPDA/Zn is a kind of ultrasound contrast agent, which can stabilize plaques by inhibiting CREB protein.