Two-Variable Hermite Polynomial Excitation of Two-Mode Squeezed Vacuum State as Squeezed Two-Mode Number State

We find that the squeezed two-mode number state is just a two-variable Hermite polynomial excitation of the two-mode squeezed vacuum state （THPES）. We find that the Wigner function of THPES and its marginal distributions are just related to two-variable Hermite polynomials （or Laguerre polynomials） and that the tomogram of THPES can be expressed by one-mode Hermite polynomial.     

Hydrophobically modified chitosan/gold nanoparticles for DNA delivery

Present study dealt an application of modified chitosan gold nanoparticles (Nac-6-Au) for the immobilization of necked plasmid DNA. Gold nanoparticles stabilized with N-acylated chitosan were prepared by graft-onto approach. The stabilized gold nanoparticles were characterized by different physico-chemical techniques such as UV-vis, TEM, ELS and DLS. MTT assay was used for in vitro cytotoxicity of the nanoparticles into three different cell lines (NIH 3T3, CT-26 and MCF-7). The formulation of plasmid DNA with the nanoparticles corresponds to the complex forming capacity and in-vitro/in-vivo transfection efficiency was studied via gel electrophoresis and transfection methods, respectively. Results showed the modified chitosan gold nanoparticles were well-dispersed and spherical in shape with average size around 10～12 nm in triple distilled water at pH 7.4, and showed relatively no cytotoxicity at low concentration. Addition of plasmid DNA on the aqueous solution of the nanoparticles markedly reduced surface potential (50.0～66.6%) as well as resulted in a 13.33% increase in hydrodynamic diameters of the formulated nanoparticles. Transfection efficiency of Nac-6-Au/DNA was dependent on cell type, and higher β-galactosidase activity was observed on MCF-7 breast cancer cell. Typically, this activity was 5 times higher in 4.5 mg/ml nanoparticles concentration than that achieved by the nanoparticles of other concentrations (and/or control). However, this activity was lower in in-vitro and dramatically higher in in-vivo than that of commercially available transfection kit (Lipofectin®) and DNA. From these results, it can be expected to develop alternative new vectors for gene delivery.     

非高斯荷载作用下结构微小失效概率的估计方法

本文提出了一个估计非高斯荷载作用下结构体系微小失效概率的有效方法．该方法由两个解耦的分析过程组成：第一个过程由移位广义对数正态分布模型估计结构非高斯反应的边缘分布函数,对于移位广义对数正态分布模型的参数估计采用两水准方法;第二个过程由Copula函数估计结构非高斯反应的联合分布函数,通过该联合分布函数的尾部得到结构体系的微小失效概率．非高斯地震荷载作用下六层抗弯钢框架的微小失效概率算例分析表明,本文所提方法能精确估计结构体系的微小失效概率,其计算效率比目前普遍采用的Monte Carlo模拟方法高5~10倍．     

求解非比例阻尼体系复模态的实模态摄动法

根据工程结构的实际情况,建立了非比例阻尼结构体系复模态特性的近似求解方 法------实模态摄动法. 这一方法以复Ritz向量展开原理为基础, 把非比例阻尼结构体系复模态特性的分析过程分解为两个基本步骤,首先以结构体系的实模 态向量构建复Ritz向量的求解子空间,然后通过非线性复代数方程组的求解代替扩阶后的复 特征值方程的求解,从而简化了计算过程.通过两个算例表明: 这一方法不仅计算简便,而且具有较高的计算精度和执行效率, 对于复杂的非比例阻尼系统是很适用的,具有一定的工程应用价值.     

以Lanczos向量直接叠加法确定圆拱顶屋盖风致响应

提出以Lanczos向量直接叠加法确定大跨屋盖结构的风致响应。传统的模态叠加法中无法保证精确计算的特征向量一定能够参与动态响应。与传统模态叠加法不同,在生成正交的Lanczos向量算法中只产生在荷载展开式中有较大参与系数的向量,并用于后续的模态叠加法之中。产生第一个Lanczos向量的空间向量来自于屋盖风压场的本征正交分解(POD)。利用同步多点压力扫描技术对一个圆拱顶屋盖进行了风洞试验。利用所提出的方法分析了屋盖风致响应,并与传统方法以及采用平均风荷载作为空间向量的Lanczos向量直接叠加法进行了比较,说明了本文方法的有效性。     

Time asymmetric quantum theory – II. Relativistic resonances from S‐matrix poles

Relativistic resonances and decaying states are described by representations of Poincaré transformations, similar to Wigner's definition of stable particles. To associate decaying state vectors to resonance poles of the S‐matrix, the conventional Hilbert space assumption (or asymptotic completeness) is replaced by a new hypothesis that associates different dense Hardy subspaces to the in‐ and out‐scattering states. Then one can separate the scattering amplitude into a background amplitude and one or several “relativistic Breit‐Wigner” amplitudes, which represent the resonances per se. These Breit‐Wigner amplitudes have a precisely defined lineshape and are associated to exponentially decaying Gamow vectors which furnish the irreducible representation spaces of causal Poincaré transformations into the forward light cone.     

Rapid isolation and quantification of extracellular vesicles from suspension-adapted human embryonic kidney cells using capillary-channeled polymer fiber spin-down tips

Exosomes, a subset of extracellular vesicles (EVs, 30–200-nm diameter), serve as biomolecular snapshots of their cell of origin and vehicles for intercellular communication, playing roles in biological processes, including homeostasis maintenance and immune modulation. The large-scale processing of exosomes for use as therapeutic vectors has been proposed, but these applications are limited by impure, low-yield recoveries from cell culture milieu (CCM). Current isolation methods are also limited by tedious and laborious workflows, especially toward an isolation of EVs from CCM for therapeutic applications. Employed is a rapid (<10 min) EV isolation method on a capillary-channeled polymer fiber spin-down tip format. EVs are isolated from the CCM of suspension-adapted human embryonic kidney cells (HEK293), one of the candidate cell lines for commercial EV production. This batch solid-phase extraction technique allows 10¹² EVs to be obtained from only 100-µl aliquots of milieu, processed using a benchtop centrifuge. The tip-isolated EVs were characterized using transmission electron microscopy, multi-angle light scattering, absorbance quantification, an enzyme-linked immunosorbent assay to tetraspanin marker proteins, and a protein purity assay. It is believed that the demonstrated approach has immediate relevance in research and analytical laboratories, with opportunities for production-level scale-up projected.