On the Tutte–Krushkal–Renardy polynomial for cell complexes

Recently V. Krushkal and D. Renardy generalized the Tutte polynomial from graphs to cell complexes. We show that evaluating this polynomial at the origin gives the number of cellular spanning trees in the sense of A. Duval, C. Klivans, and J. Martin. Moreover, after a slight modification, the Tutte–Krushkal–Renardy polynomial evaluated at the origin gives a weighted count of cellular spanning trees, and therefore its free term can be calculated by the cellular matrix-tree theorem of Duval et al. In the case of cell decompositions of a sphere, this modified polynomial satisfies the same duality identity as the original polynomial. We find that evaluating the Tutte–Krushkal–Renardy along a certain line gives the Bott polynomial. Finally we prove skein relations for the Tutte–Krushkal–Renardy polynomial.     

A three-way array model for resolving multicomponent fluorescent mixtures

Fluorescence lifetime provides a third independent dimension of information for the resolution of total luminescence spectra of multicomponent mixtures. The incorporation of this parameter into the Excitation-Emission Matrix (EEM) by the phase-modulation technique results in a three-dimensional Excitation-Emission-Frequency Array (EEFA). Multicomponent analysis based on the three-dimensional EEFA brings a qualitative change for the resolved spectra, i.e., individual spectra can be uniquely resolved, which is impossible with any two-dimensional analysis. In this paper, we present a method for analyzing the EEFA. We show mathematically that with the three-dimensional analysis of the EEFA individual spectra and lifetimes can be obtained. Our algorithm is developed in mathematical detail and demonstrated by its application to a two-component mixture.     

A simple method for extracting both active oily and water soluble extract (WSE) from Nigella sativa (L.) seeds using a single solvent system

The current study provides a way of extraction for both active NSO and WSE from Nigella sativa seeds using 98% methanol. About 1?kg of ground seeds was macerated by 1:2.5 w/v (g/mL) for 72?hours. After rotary evaporation and 7 days of continuous drying and chilling at 50 and 4?°C, NSO and WSE were obtained at the same instant. Solubility tests of 24 solvents and 11 thin layer chromatographic analyses while 2, 2-diphenyl-1-picrylhydrazyl free radical scavenging assay of NSO (73.66) , WSE (33.32) and NSO?+?WSE (78.22) against ascorbic acid (IC50?=?4.28?mg/mL) was performed. WSE was found to be highly soluble in water and 5% NaOH exhibiting the same Rf value of 0.95 for EtOH:DMSO (9:1) against the honey. WSE has revealed more than twofold higher anti-oxidant activity than others. Formulation of WSE with Tualang honey may provide better targeted hydrophilic drug delivery systems.     

Flexible Rolled Thick‐Film Miniaturized Flow‐Cell for Minimally Invasive Amperometric Sensing

We describe here a miniaturized flexible thick‐film electrochemical biosensor flow detector, suitable for insertion into the lacrimal canaliculus towards minimally invasive amperometric monitoring of biomarkers in the tear fluid. Our focus here is on the microfabrication and in‐vitro testing of the new laterally rolled screen‐printed sensor. The new device responds rapidly and sensitively to dynamic changes in the levels of norepinephrine and glucose (the later in connection to glucose‐oxidase containing ink). Coverage of the enzyme electrode with an electropolymerized polytyramine minimizes contributions from the common electroactive interferences ascorbic and uric acids. Such attractive performance indicates great promise for minimally invasive monitoring of health biomarkers in the tear fluid, or in alternative usage such as capillary microelectrophoresis, ultralow volume sampling, or in‐flow (tubular) systems for batch processing of blood or culture media.     

Magnetic tuning of the electrochemical reactivity through controlled surface orientation of catalytic nanowires

Nanowires have received considerable attention owing to their broad potential applications. We report here on the application of nanowires for magnetic control of the electrochemical reactivity and demonstrate how one can modulate the electrocatalytic activity by orienting catalytic nanowires at different angles. Unlike early "on/off" magnetic switching studies based on functionalized magnetic spheres, the present magnetoswitchable protocol relies on modulating the electrochemical reactivity without removing the magnetic material from the surface. Such behavior is attributed to the reversible blocking of the redox processes and to changes in the tortuosity-dependent flux rate. The nanowire-based magnetoswitchable protocol may be extremely useful for adjusting the electrochemical reactivity, such as for tuning the power output of fuel cells (rather than switching the power on/off).     

Describing Hydrodynamic Particle Removal from Surfaces Using the Particle Reynolds Number

The fundamental processes related to the removal of fine particles from surfaces in a hydrodynamic flow field are not adequately understood. A critical particle Reynolds number approach is proposed to assess these mechanisms for fine particles when surface roughness is small compared to particle diameter. At and above the critical particle Reynolds number, particle removal occurs, while below the critical value, particles remain attached to a surface. The system under consideration consists of glass particles adhering to a glass surface in laminar channel flow. Our results indicate rolling is the removal mechanism, which is in agreement with the literature. Theoretical results of the critical particle Reynolds number model for rolling removal are in general agreement with experimental data when particle size distribution, particle and surface roughness, and system Hamaker constant are taken into account.     

高聚合度Ⅱ-型聚磷酸铵的合成

用聚合反应-热处理两段工艺合成了高聚合度的聚磷酸铵（APP）阻燃材料,其结构经XRD,粒度及平均聚合度表征。优化反应条件为：磷酸氢二铵1mol,n（磷酸氢二铵）：n（五氧化二磷）：n（脲）：1．0：1．0：0．3．干燥氨气氛下于290℃反应30min,再经250℃-280℃后处理100min-110min。APP的平均聚合度大于150,粒度小于50μm。