Syntheses,Structures and Anticancer Activities of Two Tri(o-halobenzyl)tin Substituted Benzoates

Tri(o-chlorobenzyl)tin 2,4,6-trimethylbenzoate(1)and tri(o-bromobenzyl)tin salicylate(2)were synthesized and characterized by elemental analysis,1R spectroscopy...     

冲击压缩下玻璃样品后自由表面速度的过冲现象

实验发现当飞片碰撞玻璃样品产生的冲击载荷超过一定值后 ,玻璃样品后自由表面速度时程曲线上有过冲现象 ,即速度上升到最大值后 ,立即开始下降 ,其时间的开始部分类似于三角波。通过高速摄影和VISAR等测试手段对这一现象进行了较系统的研究 ,发现其与玻璃样品后自由表面附近的破碎有关 ,建立了描述这一破坏现象的损伤演化方程 ,并进行了数值模拟。计算结果和实验结果吻合 ,表明对这个现象的解释是合理的。     

On the diophantine equation x 2 + 2 a · 3 b · 11 c = y n

In this note, we find all the solutions of the Diophantine equation x ² + 2 ^a · 3 ^b · 11 ^c = y ⁿ , in nonnegative integers a, b, c, x, y, n ≥ 3 with x and y coprime.     

Particle Measurement Sensor for in situ determination of phase structure of fluidized bed

Based on three-dimensional (3D) acceleration sensing, an intelligent particle spy capable of detecting, transferring, and storing data, is proposed under the name of Particle Measurement Sensor (PMS). A prototype 60-mm-dia PMS was tested to track its freefall in terms of velocity and displacement, and served as a particle spy in a fluidized bed delivering the in situ acceleration information it detects. With increasing superficial gas velocity in the fluidized bed, the acceleration felt by PMS was observed to increase. The variance of the signals, which reflect the fluctuation, increased at first, reaching a maximum at the gas velocity (Uc) which marks the transition from bubbling to turbulent fluidization. Through probability density distribution (PDD) analysis, the PDD peak can be divided into the emulsion phase peak and the bubble phase peak. The average acceleration of emulsion and bubble phase increased, while the variance of both phases reached a maximum at Oc, at the same time. However, the difference between the variances of two phases reached the maximum at Oc. Findings of this study indicate that PMS can record independent in situ information. Further, it can provide other in situ measurements when equipped with additional multi-functional sensors.     

Applications of Fixed Point Theorems to the Vacuum Einstein Constraint Equations with Non-Constant Mean Curvature

In this paper, we introduce new methods for solving the vacuum Einstein constraints equations: the first one is based on Schaefer’s fixed point theorem (known methods use Schauder’s fixed point theorem), while the second one uses the concept of half-continuity coupled with the introduction of local supersolutions. These methods allow to: unify some recent existence results, simplify many proofs (for instance, the one of the main theorems in Dahl et al., Duke Math J 161(14):2669–2697, 2012) and weaken the assumptions of many recent results.     

Nanoparticle and nanorod TiO2 composite photoelectrodes with improved performance

A novel nanoparticle-nanorod composite TiO(2) photoelectrode is fabricated. A 3.20% efficiency is achieved by using a 2.1 μm-thick as-prepared photoelectrode, which is about 3 times of that obtained by a nanorod array electrode (1.05%). The results demonstrate that the composite nanostructure can take advantage of both fast electron transport (nanorod) and high surface area (nanoparticle).     

HNF4α Antagonists Discovered by a High-Throughput Screen for Modulators of the Human Insulin Promoter

Hepatocyte nuclear factor (HNF)4α is a central regulator of gene expression in cell types that play a critical role in metabolic homeostasis, including hepatocytes, enterocytes, and pancreatic β cells. Although fatty acids were found to occupy the HNF4α ligand-binding pocket and were proposed to act as ligands, there is controversy about both the nature of HNF4α ligands as well as the physiological role of the binding.?Here, we report the discovery of potent synthetic HNF4α antagonists through a high-throughput screen for effectors of the human insulin promoter. These molecules bound to HNF4α with high affinity and modulated the expression of known HNF4α target genes. Notably, they were found to be selectively cytotoxic to cancer cell lines in?vitro and in?vivo, although in?vivo potency was limited by suboptimal pharmacokinetic properties. The discovery of bioactive modulators for HNF4α raises the possibility that diseases involving HNF4α, such as diabetes and cancer, might be amenable to pharmacologic intervention by modulation of HNF4α activity.     

Exact solution of the modified Pöschl–Teller potential in the tridiagonal representation

The Schrödinger equation with the modified Pöschl‐Teller (MPT) potential is studied by working in a complete square integrable basis that supports a tridiagonal matrix representation of the wave operator. The resulting three‐term recursion relation for the expansion coefficients of the wavefunction is presented, and the wavefunctions are expressed in terms of the Jocobi polynomial. The discrete spectrum of the bound states is obtained by diagonalization of the recursion relation. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011     

Barium divanadium(V) tellurite(IV)

A new three‐dimensional bimetallic tellurite, BaV₂TeO₈, was synthesized by the hydro­thermal reaction of Ba(OH)₂, TeO₂ and V₂O₅, and characterized by single‐crystal X‐ray diffraction. The three‐dimensional framework is built up from anionic [V₂TeO₈]_n²ⁿ⁻ layers parallel to (101) and connected via Ba—O bonds. The anionic layers are formed by three types of polyhedra, namely VO₅ tetra­gonal pyramids, VO₄ tetra­hedra and TeO₄₊₂ `folded square' polyhedra.