Disjoint 3‐Cycles in Tournaments: A Proof of The Bermond–Thomassen Conjecture for Tournaments

We prove that every tournament with minimum out‐degree at least contains k disjoint 3‐cycles. This provides additional support for the conjecture by Bermond and Thomassen that every digraph D of minimum out‐degree contains k vertex disjoint cycles. We also prove that for every , when k is large enough, every tournament with minimum out‐degree at least contains k disjoint cycles. The linear factor 1.5 is best possible as shown by the regular tournaments.     

The Steiner Problem on Surfaces of Revolution

While the Steiner problem has been extensively studied in the Euclidean plane, it remains an open problem to solve the Steiner problem on arbitrary non-planar (piecewise smooth) surfaces. We suggest an algorithm for solving the n-point Steiner problem on surfaces of revolution which have a non-decreasing generating function by constructing an isometric framework on a plane endowed with a weighted distance metric, thus propelling a new analytical avenue for studying the Steiner problem on surfaces with non-constant curvature.     

Energy gradients in combined fragment molecular orbital and polarizable continuum model (FMO/PCM) calculation

The analytic energy gradients for the combined fragment molecular orbital and polarizable continuum model (FMO/PCM) method are derived and implemented. Applications of FMO/PCM geometry optimization to polyalanine show that the structures obtained with the FMO/PCM method are very close to those obtained with the corresponding full ab initio PCM methods. FMO/PCM (RHF/6‐31G* level) is used to optimize the solution structure of the 304‐atom Trp‐cage miniprotein and the result is in agreement with NMR experiments. The key factors determining the relative stability of the α‐helix, β‐turn and the extended form in solution are elucidated for polyalanine. © 2009 Wiley Periodicals, Inc. J Comput Chem, 2010     

Direct modification of hydrogen/deuterium-terminated diamond particles with polymers to form reversed and strong cation exchange solid phase extraction sorbents

We describe direct polymer attachment to hydrogen and deuterium-terminated diamond (HTD and DTD) surfaces using a radical initiator (di-tert-amyl peroxide, DTAP), a reactive monomer (styrene) and a crosslinking agent (divinylbenzene, DVB) to create polystyrene encapsulated diamond. Chemisorbed polystyrene is sulfonated with sulfuric acid in acetic acid. Surface changes were followed by X-ray photoelectron spectroscopy (XPS), time-of-flight secondary ion mass spectrometry (ToF-SIMS) and diffuse reflectance Fourier transform infrared spectroscopy (DRIFT). Finally, both polystyrene-modified DTD and sulfonated styrene-modified DTD were used in solid phase extraction (SPE). Percent recovery and column capacity were investigated for both phenyl (polystyrene) and sulfonic acid treated polystyrene SPE columns. These diamond-based SPE supports are stable under basic conditions, which is not the case for silica-based SPE supports.     

Implementation of droplet-membrane-droplet liquid-phase microextraction under stagnant conditions for lab-on-a-chip applications

In the current work, droplet-membrane-droplet liquid-phase microextraction (LPME) under totally stagnant conditions was presented for the first time. Subsequently, implementation of this concept on a microchip was demonstrated as a miniaturized, on-line sample preparation method. The performance level of the lab-on-a-chip system with integrated microextraction, capillary electrophoresis (CE) and laser-induced fluorescence (LIF) detection in a single miniaturized device was preliminarily investigated and characterized. Extractions under stagnant conditions were performed from 3.5 to 15 μL sample droplets, through a supported liquid membrane (SLM) sustained in the pores of a small piece of a flat polypropylene membrane, and into 3.5-15 μL of acceptor droplet. The basic model analytes pethidine, nortriptyline, methadone, haloperidol, and loperamide were extracted from alkaline sample droplets (pH 12), through 1-octanol as SLM, and into acidified acceptor droplets (pH 2) with recoveries ranging between 13 and 66% after 5 min of operation. For the acidic model analytes Bodipy FL C₅ and Oregon Green 488, the pH conditions were reversed, utilizing an acidic sample droplet and an alkaline acceptor droplet, and 1-octanol as SLM. As a result, recoveries for Bodipy FL C₅ and Oregon Green 488 from human urine were 15 and 25%, respectively.     

Potential‐driven peptide extractions across supported liquid membranes: Investigation of principal operational parameters

Fundamental experiments on electromembrane extraction were performed to increase the basic knowledge about the current and the mass transfer of target peptides and background electrolyte ions. Three peptides (angiotensin 2, bradykinin, and enkephalin) were extracted from 500 μL aqueous donor solution (1 mM HCl, positive electrode), through a 200 μm supported liquid membrane (SLM) of 1‐octanol/di‐isobutylketon/di‐(2‐ethylhexyl) phosphate (55:35:10 w/w/w) sustained in the pores of a porous hollow fiber, and into 25 μL aqueous acceptor solution (50 mM HCl, negative electrode) present inside the lumen of the fiber by the application of an electrical potential (50 V) and agitation (1050 rpm). Recoveries were typically in the range of 55–65% after 5 min of extraction and were principally determined by the chemical composition of the SLM and by the applied voltage. The electrical current in the system was measured during the extraction and was close to 350 μA. The current arose to some extent from mass transfer of the target peptides, but the major contribution was due to a background current from di‐(2‐ethylhexyl) phosphate in the SLM and from mass transfer of background electrolytes. Operation at relatively low background current was important to maintain a stable system.     

Scanning electrochemical microscopy and video microscopy investigations of Tiron-mediated polypyrrole nucleation on AA2024-T3

Scanning electrochemical microscopy (SECM) and video microscopy have been used to examine the mediated electrodeposition of polypyrrole on AA2024-T3. Of particular interest is the role of surface heterogeneity (namely, copper-rich secondary phase particles) on electrodeposition mediated by 4,5-dihydroxy-1,3-benzenedisulfonic acid (Tiron). SECM shows that polymer nucleation occurs exclusively on the aluminum matrix of the alloy. Video microscopy shows this to be true on a model alloy (a pure Al substrate with an embedded Cu wire) as well, and also suggests that polymer growth is directional toward the copper-rich sites in the absence of sulfate in the deposition solution. A model is presented in which polymer deposition on the copper-rich sites is inhibited either by CuSO₄-induced passivation or by the loss of mediator due to Cu–Tiron complex formation.     

Measurement of the neutron radius of 208Pb through parity violation in electron scattering

We report the first measurement of the parity-violating asymmetry A(PV) in the elastic scattering of polarized electrons from 208Pb. A(PV) is sensitive to the radius of the neutron distribution (R(n)). The result A(PV)=0.656±0.060(stat)±0.014(syst) ppm corresponds to a difference between the radii of the neutron and proton distributions R(n)-R(p)=0.33(-0.18)(+0.16) fm and provides the first electroweak observation of the neutron skin which is expected in a heavy, neutron-rich nucleus.     

Functional characterisation of homomeric ionotropic glutamate receptors GluR1-GluR6 in a fluorescence-based high throughput screening assay

We have constructed stable HEK293 cell lines expressing the rat ionotropic glutamate receptor subtypes GluR1(i), GluR2Q(i), GluR3(i), GluR4(i), GluR5Q and GluR6Q and characterised the pharmacological profiles of the six homomeric receptors in a fluorescence-based high throughput screening assay using Fluo-4/AM as a fluorescent Ca2+ indicator. In this assay, the pharmacological properties of nine standard GluR ligands correlated nicely with those previously observed in electrophysiology studies of GluRs expressed in Xenopus oocytes or mammalian cells. The potencies and efficacies displayed by the agonists (S)-glutamate, (S)-quisqualate, kainate, (RS)-AMPA, (RS)-ATPA, (RS)-ACPA] and (S)-4-AHCP at the six GluRs were in concordance with electrophysiological studies. Furthermore, the Ki values exhibited by the competitive antagonists NBQX and (RS)-ATPO were also in agreement with findings of previous studies. Finally, the effects of various concentrations of Ca2+ in the assay buffer and of the allosteric modulators cyclothiazide and concanavalin A on GluR signalling were examined. This study represents the most elaborate functional characterisation of multiple AMPA and KA receptor subtypes in the same assay reported to date. We propose that high throughput screening of compound libraries at the six GluR-HEK293 cell lines could be helpful in the search for structurally and pharmacologically novel ligands acting at the receptors.