New types of metal squarato-phosphonates: condensation of aminodiphosphonate with squaric acid under hydrothermal conditions

The syntheses and crystal structures of the first copper(I) phosphonate, Cu2(H3L)(bipy)(2).2H2O 1 (H5L = C4HO3N(CH2PO3H2)2), which is also the first example of metal phosphonates formed by a type of organic reaction, and a novel luminescent Mn(II) squarate diphosphonate, {Mn[NH(CH2PO3H)2](H2O)2}2{Mn(C4O4)(H2O)4}.(C4H2O4) 2, have been reported. The structure of 1 features a layer architecture in which the Cu(I) centers are three coordinated, and the newly formed ligand acts as a bidentate metal linker. Compound 2 is composed of 1D chains of Mn[NH(CH2PO3H)2](H2O)2, 1D chains of {Mn(C4O4)(H2O)4}, as well as the neutral squaric acid molecules. These three types of building units are interconnected via hydrogen bonding.     

Microfluidic adhesion analysis of single glioma cells for evaluating the effect of drugs

Cancer metastasis is one of the most serious problems for tumor therapy, which is closely related to cell adhesion and deadhesion process. Better comprehension of cell adhesion ability will benefit drug research. Here, a biomimetic microfluidic enzyme digestion method was proposed to gently measure the influence of drugs on cell-matrix adhesion ability at the single cell level.The method can selectively digest the extracellular matrix(ECM) that linked to a single cell, and the trypsin concentration around the cell is relatively uniform and constant, thus the measured cell adhesion strength should be precise. Commercially available anti-cancer agents including 5-fluorouracil(5-FU), actinomycin D(Act D), temozolomide(TMZ) and allicin were evaluated, and the data showed only TMZ and allicin can inhibit cell adhesion significantly under our experiment conditions. The influence of TMZ became more and more obvious as the increase of duration and the effect became prominent only after 6 h adhesion process, which could provide a quick evaluation of whether the drugs are effective to cancer cell(compared with Calcein-AM/PI cell viability test). The adhesion strength of U87 cells decreased when the concentration of TMZ increased, and the effect of TMZ can be effectively inhibited by adding lactic acid to culture medium, which indicated acidic tumor microenvironment could promote drug resistance of tumor cells. Different from conventional evaluation methods which focus on the drugs' influence on cellular viability or metabolism, this work provides a new perspective to study the effect of drugs, which is helpful to enrich the drug evaluation system.     

Criteria for Geometric and Algebraic Transience for Discrete-Time Markov Chains

Journal of Theoretical Probability - We present new criteria for geometric and algebraic transience for discrete-time transient Markov chains on general state spaces, based on the moment of the...     

论明清石湾陶艺的美学特色

明清是石湾陶艺创作风格、艺术特色的奠基时期。明清石湾陶艺注重表现,富有生活气息,简约质朴,豪放自然,尤其在人物眼神与衣纹的刻划、“素胎烧制”等艺术表现技巧方面所作出的探索,终经后来历代艺人的发扬光大,已成为今天石湾陶艺所特有的“有意味的形式”,并展示出强烈的艺术魅力。     

Density and momentum dependence of the coupling strengths for scalar and vector fields

The collision term has been deduced based on the effective Lagrangian in addition to the mean-field. We propose the momentum- and density-dependent coupling strengths for scalar and vector fields. The saturation properties of nuclear matter, the experimental data of the energy-dependent optical potential and the mean free path in the nuclei can be reproduced simultaneously. The in-mediumn–n cross section has also been calculated for different densities and energies, our results are consistent with Dirac-Brueckner-Hartree-Fock calculations.Supported by National Natural Science Foundation of China     

Formula for Analyzing Hopf Bifurcation

CesariandHaleshowedthat[1],usingLiapunov-Schmidtreduction,theHopfbifurcationcanbetreatedasbifurcationofzerosofacertainreducedmapping.Consideranautonomoussystemofordinarydifferentialequation(ODE)definedneartheoriginoftheformdudt A(λ)u F(u,λ)=0,　u∈Rn,λ∈Rm(1)whereλisthebifurcationparameter,A(λ)isann×nmatrix,A(0)satisfiestheHopfhypothesis:ithassimpleeigenvalues±iandhasnoothereigenvalueslyingontheimaginaryaxis,F(u,λ)arethehigher-ordertermsofuandbothofAandFareC∞functionsofλ.Fixed…