多头螺旋槽管壁面液膜掺混时的流动状态

本文通过建立小流量液体在水平螺旋槽管外壁面液膜强化传热的拟线性模型,得到了壁面液膜发生流体掺混时液膜的厚度分布,并分析了相邻槽道间发生流体掺混的条件,以及发生流体掺混时液膜的形成过程。结果表明:多头螺旋槽管能够提供一个合适的几何倾斜表面,使得液体不仅能够沿着螺旋槽道流动,而且可以越过槽道的前后缘边界汇入下一个槽道,各螺旋槽道之间发生流体的相互掺混,即实现了二次分布,液膜厚度较掺混前更薄且分布更均匀。     

三维欧氏空间中的几类特殊球面曲线

利用曲线的球面活动标架,通过解微分方程,给出了三维欧氏空间中几类特殊球面曲线的特征和分类.     

超高效液相色谱法同时测定洋常春藤中8种成分含量

建立了同时测定洋常春藤中绿原酸、隐绿原酸、芦丁、烟花苷、常春藤皂苷C、常春藤皂苷D、常春藤皂苷B和α-常春藤皂苷8种成分的超高效液相色谱法(UHPLC)。以80%甲醇为溶剂,将药材粉末于85℃、料液比1∶100条件下水浴回流1 h,制备供试品溶液;采用Agilent ZORBAX Eclipse Plus-C_(18)(2.1 mm×100 mm,1.8μm)色谱柱,以乙腈-0.05%磷酸溶液为流动相进行梯度洗脱。结果表明,上述8种成分均获得良好的分离度;仪器精密度、方法重复性的相对标准偏差(RSD)均小于3.0%;样品溶液在室温条件下24 h内稳定;8种成分在对应质量浓度范围内线性关系良好(r≥0.999 5),检出限为0.40～10.58μg·mL~(-1),定量下限为1.31～34.61μg·mL~(-1),平均回收率为97.3%～108%,RSD(n=6)为0.51%～3.2%。该方法适用于洋常春藤中上述8种化学成分的定量分析。     

Polarization fluctuations of partially coherent Hermite–Gaussian beams in a slant turbulent channel

The propagation of a partially coherent Hermite–Gaussian beam in a slant turbulent channel is studied. The analytical formula for the quantum degree of polarization of a partially coherent Hermite–Gaussian beam is derived based on the quantum Stokes operators and the generalized Huygens–Fresnel principle. It is shown that the zenith angle slightly affects the polarization degree of partially coherent Hermite–Gaussian beams, and the changes of polarization degree are affected by the coherence length, the detection photon-number and the ground refractive index structure parameter. Furthermore, the numerical simulations show that a partially coherent Hermite–Gaussian beam with bigger coherence length, higher photon-number level, lower beam order, shorter wavelength is less affected by the turbulence. These results indicate that one can choose the partially coherent Hermite–Gaussian beam with bigger coherence length, lower beam order, shorter wavelength, higher detection photon-number and set the size of transmitting aperture w₀$w_0$ as about 0.065 m to improve the performance of a polarization-encoded free-space quantum communication system.     

空间的柱面螺线和广义螺线

柱面螺线是一类具有很好性质的空间曲线 ,广义螺线是比柱面螺线更广的一类空间曲线 ,本文讨论它们的一些特征及关系     

Insights into the flexibility of the T3 loop and GTPase activating protein (GAP) domain of dimeric α and β tubulins from a molecular dynamics perspective

Tubulin protein is the fundamental unit of microtubules, and comprises of α and β subunits arranged in an alternate manner forming protofilaments. These longitudinal protofilaments are made up of intra- (α-β) and inter-dimer (β-α) interactions. Literature review confirms that GTP hydrolysis results in considerable structural rearrangement within GTP binding site of β-α dimer interface after the release of γ phosphate. In addition to this, the intra-dimer interface exhibits structural rigidity which needs further investigation. In this study, we explored the reasons for the flexibility and the rigidity of the β-α dimer and the α-β dimer respectively through molecular simulation and Anisotropic Normal Mode based analysis. As per the sequence alignment report, two glycine residues (Gly⁹⁶ and Gly⁹⁸) were observed in the T3 loop of the β subunit which get substituted by Asp⁹⁸ and Ala¹⁰⁰ in the T3 loop of the α subunit. The higher mobility of glycine residues contributes to the flexibility of the T3 loop of inter-dimer when they come in direct contact with the GTPase Activating Protein (GAP) domain of the subunit. This was confirmed through RMSD, RMSF and Radius of Gyration based studies. Conversely, the intra-dimer exhibited a lower mobility in the absence of glycine residues. As per ANM based analysis, positive domain correlations were observed between T3 loop and GAP domain of intra- and inter- dimeric contact regions. However, these correlation motions were higher in the intra-dimer as compared to the inter-dimer interface. Thus on the basis of our findings, we hypothesize that the higher flexibility of T3 loop and the GAP domain of the inter-dimer is required for structural rearrangement and protofilament stability during hydrolysis. Furthermore, the slightly rigid nature of the T3 loop and the GAP domain of the intra-dimer assists in enhancing the monomer-monomer interaction through the higher positive domain correlation.     

An Electron-Rich Helical Host for the Exclusive Removal of a Planar Electron-Deficient Organic Compound

In this study, a series of electron-rich helical hosts, viz. Pyr-HAC , Anth-HAC and Ben-HAC , containing pyrene, anthracene and benzene residues, respectively, at their periphery, were screened for their interaction with different planar electron-deficient organic guests (PEDOGs). A strong and highly selective charge-transfer interactions (CTI) was observed between the host Pyr-HAC and the guest 1,2,4,5-tetracyano-benzene (TCNB), leading to a yellow-to-bright-red color change in both the solubilized and the solid state. The interaction between Pyr-HAC and TCNB also induced profound structural and morphological changes. Pyr-HAC self-assembled into belt-like morphology created by homochiral stacking of the host molecules, but in the Pyr-HAC⊃TCNB complex, square bipyramids containing intertwined heterochiral C₂-double helices of Pyr-HAC were observed. Other PEDOGs did not induce any of the above changes in Pyr-HAC . Detailed UV/Vis absorption and fluorescence spectroscopy, NMR, and X-ray diffraction studies confirmed this selectivity, which arises due to CTI assisted by complementary, directional intermolecular hydrogen bonding (DIHB) between Pyr-HAC and TCNB. This allowed for the exclusive extraction of TCNB from a solution enriched in other PEDOGs. Thus, this study provides a ground work for designing responsive helical hosts towards CTI-driven selective “catch-and-release” of guests.     

High-Pressure Synthesis of Metal–Inorganic Frameworks Hf4N20⋅N2, WN8⋅N2, and Os5N28⋅3 N2 with Polymeric Nitrogen Linkers

Polynitrides are intrinsically thermodynamically unstable at ambient conditions and require peculiar synthetic approaches. Now, a one-step synthesis of metal–inorganic frameworks Hf₄N₂₀⋅N₂, WN₈⋅N₂, and Os₅N₂₈⋅3 N₂ via direct reactions between elements in a diamond anvil cell at pressures exceeding 100 GPa is reported. The porous frameworks (Hf₄N₂₀, WN₈, and Os₅N₂₈) are built from transition-metal atoms linked either by polymeric polydiazenediyl (polyacetylene-like) nitrogen chains or through dinitrogen units. Triply bound dinitrogen molecules occupy channels of these frameworks. Owing to conjugated polydiazenediyl chains, these compounds exhibit metallic properties. The high-pressure reaction between Hf and N₂ also leads to a non-centrosymmetric polynitride Hf₂N₁₁ that features double-helix catena-poly[tetraz-1-ene-1,4-diyl] nitrogen chains [−N−N−N=N−]_∞.     

Role of the N-Terminal Transmembrane Helix Contacts in the Activation of FGFR3

Fibroblast growth factor receptor 3 (FGFR3) is a member of receptor tyrosine kinases, which is involved in skeletal cell growth, differentiation, and migration. FGFR3 transduces biochemical signals from the extracellular ligand-binding domain to the intracellular kinase domain through the conformational changes of the transmembrane (TM) helix dimer. Here, we apply generalized replica exchange with solute tempering method to wild type (WT) and G380R mutant (G380R) of FGFR3. The dimer interface in G380R is different from WT and the simulation results are in good agreement with the solid-state nuclear magnetic resonance (NMR) spectroscopy. TM helices in G380R are extended more than WT, and thereby, G375 in G380R contacts near the N-termini of the TM helix dimer. Considering that both G380R and G375C show the constitutive activation, the formation of the N-terminal contacts of the TM helices can be generally important for the activation mechanism. © 2019 Wiley Periodicals, Inc.     

Geometry and Mechanics of Uniform n-Plies: from Engineering Ropes to Biological Filaments

We study the mechanics of uniform n-plies, correcting and extending previous work in the literature. An n-ply is the structure formed when n pretwisted strands coil around one another in helical fashion. Such structures are encountered widely in engineering (mooring ropes, power lines) and biology (DNA, proteins). We first show that the well-known lock-up phenomenon for n=2, described by a pitchfork bifurcation, gets unfolded for higher n. Geometrically, n-plies with n>2 are all found to behave qualitatively the same. Next, using elastic rod theory, we consider the mechanics of n-plies, allowing for axial end forces and end moments while ignoring friction. An exact expression for the interstrand pressure force is derived, which is used to investigate the onset of strand separation in plied structures. After defining suitable displacements we also give an alternative variational formulation and derive (nonlinear) constitutive relationships for torsion and extension (including their coupling) of the overall ply. For a realistic loading problem in which the ends are not free to rotate one needs to consider the topological conservation law, and we show how the concepts of link and writhe can be extended to n-plies. This revised version was published online in July 2006 with corrections to the Cover Date.