Small and Large Scale Behavior of the Poissonized Telecom Process

The stable Telecom process has infinite variance and appears as a limit of renormalized renewal reward processes. We study its Poissonized version where the infinite variance stable measure is replaced by a Poisson point measure. We show that this Poissonized version converges to the stable Telecom process at small scales and to the Gaussian fractional Brownian motion at large scales. This process is therefore locally as well as asymptotically self-similar. The value of the self-similarity parameter at large scales, namely the self-similarity parameter of the limit fractional Brownian motion, depends on the form the Poissonized Telecom process. The Poissonized Telecom process is a Poissonized mixed moving average. We investigate more general Poissonized mixed moving averages as well.     

Hamilton connectedness and the partially square graphs

Let G be a κ-connected graph on n vertices. The partially square graphG^* of G is obtained by adding edges uv whenever the vertices u,v have a common neighbor x satisfying the condition N_G(x)⊂N_G[u]∪N_G[v]. Clearly G⊆G^*⊆G², where G² is the square of G. In particular G^*=G² if G is quasi-claw-free (and claw-free). In this paper we prove that a κ-connected, (κ?3) graph G is either hamiltonian-connected or the independence number of G^* is at least κ. As a consequence we answer positively two open questions. The first one by Ainouche and Kouider and the second one by Wu et al. As a by-product we prove that a quasi-claw-free (and hence a claw-free) graph satisfying the condition α(G²)<κ is hamiltonian-connected.     

Torsion theories induced from commutative subalgebras

We begin a study of torsion theories for representations of finitely generated algebras U over a field containing a finitely generated commutative Harish-Chandra subalgebra Γ. This is an important class of associative algebras, which includes all finite W-algebras of type A over an algebraically closed field of characteristic zero, in particular, the universal enveloping algebra of (or ) for all n. We show that any Γ-torsion theory defined by the coheight of the prime ideals of Γ is liftable to U. Moreover, for any simple U-module M, all associated prime ideals of M in have the same coheight. Hence, the coheight of these associated prime ideals is an invariant of a given simple U-module. This implies the stratification of the category of U-modules controlled by the coheight of the associated prime ideals of Γ. Our approach can be viewed as a generalization of the classical paper by Block (1981) [4]; it allows, in particular, to study representations of beyond the classical category of weight or generalized weight modules.     

Generation of dialkyl phosphonodithioyl radicals and their addition onto alkenes. Synthesis of 3-phosphonodithiomethyl-3-deoxofuranosides

An efficient, three-step preparation of the new 2-phenylselanyl-[1,2,3]-dithiaphosphinane-2-oxide (8) from PCl₃ is described. The reagent is shown to behave as a precursor of the corresponding phosphonodithioyl radical, when placed in the presence of tin or silyl radicals. A novel synthesis of S,S-dialkyl phosphonodithioates is described based on these results. Application of this methodology to exocyclic 3-methylene-3-deoxofuranosides leads to the highly diastereoselective formation of 3-phosphonodithiomethyl-3-deoxofuranosides.     

Photoelectrochemical immunosensor for label-free detection and quantification of anti-cholera toxin antibody

We demonstrate herein a newly developed photoelectrochemical immunosensor for the determination of anti-cholera toxin antibody by using a photosensitive biotinylated polypyrrole film. The latter was generated by electro-oxidation of a biotinylated tris(bipyridyl) ruthenium(II) complex bearing pyrrole groups. The photoexcitation of this modified electrode potentiostated at 0.5 V vs SCE, in the presence of an oxidative quencher, pentaaminechloro cobalt(III) chloride (15 mM), led to a cathodic photocurrent. As a result of the affinity interactions, a layer of biotinylated cholera toxin was firmly bound to the functionalized polypyrrole film via avidin bridges. The resulting modified electrodes were tested as immunosensors for the detection of the corresponding antibody from 0 to 200 microg mL(-)(1). The antibody concentration was measured through the decrease in photocurrent intensity resulting from its specific binding onto the polymeric coating, the detection limit being 0.5 microg mL(-)(1).     

Shot-noise limited single-molecule FRET histograms: comparison between theory and experiments

We describe a simple approach and present a straightforward numerical algorithm to compute the best fit shot-noise limited proximity ratio histogram (PRH) in single-molecule fluorescence resonant energy transfer diffusion experiments. The key ingredient is the use of the experimental burst size distribution, as obtained after burst search through the photon data streams. We show how the use of an alternated laser excitation scheme and a correspondingly optimized burst search algorithm eliminates several potential artifacts affecting the calculation of the best fit shot-noise limited PRH. This algorithm is tested extensively on simulations and simple experimental systems. We find that dsDNA data exhibit a wider PRH than expected from shot noise only and hypothetically account for it by assuming a small Gaussian distribution of distances with an average standard deviation of 1.6 A. Finally, we briefly mention the results of a future publication and illustrate them with a simple two-state model system (DNA hairpin), for which the kinetic transition rates between the open and closed conformations are extracted.     

Polyhedral oligomeric silsesquioxane as flame retardant for thermoplastic polyurethane

In this work, the reaction to fire of thermoplastic polyurethane (TPU) containing polyhedral oligomeric silsesquioxanes (or POSSs) was investigated by mass loss calorimetry. This composite exhibits a large reduction of peak of heat release rate (PHRR) compared to virgin TPU. The protection occurs via an intumescent mechanism. Mechanism of protection is examined in chemical and physical ways. Solid state NMR of carbon and silicon on heat-treated materials reveals that there is no significant chemical interaction between TPU and POSS. Nevertheless the intumescent char is characterized as ceramified char made of silicon network in a polyaromatic structure. The expansion occurs because of the partial volatilization of the organic part of POSS and because of the evolving degrading products of TPU. The formation of this intumescent structure makes an efficient insulating material at the surface of the substrate limiting heat and mass transfer and then decreasing heat release rate.     

The unmediated choline sensor based on layered double hydroxides in hydrogen peroxide detection mode

In this work, we have developed a novel choline biosensor on the basis of immobilization of choline oxidase (ChOx) by the attractive materials layered double hydroxides (LDHs). Amperometric detection of choline was evaluated by holding the modified electrode at 0.5 V (vs. SCE). Due to the special properties of LDHs ([Zn₃-Al-Cl]), such as chemical inertness, high porosity, and swelling property, the [Zn₃-Al-Cl]/ChOx modified electrode exhibited an enhanced analytical performance. The biosensor provided a linear response to choline over a concentration range from 3.7 × 10⁻⁶ to 6.3 × 10⁻⁴ M with a low detection limit of 3 × 10⁻⁷ M based on S/N=3. The apparent Michaelis-Menten constant was calculated to be 1.38 mM. In addition, the interaction between ChOx and LDHs has also been investigated using FT-IR spectroscopy.     

Multi-wavelength HPLC fingerprints from complex substances: An exploratory chemometrics study of the Cassia seed example

Multi-wavelength fingerprints of Cassia seed, a traditional Chinese medicine (TCM), were collected by high-performance liquid chromatography (HPLC) at two wavelengths with the use of diode array detection. The two data sets of chromatograms were combined by the data fusion-based method. This data set of fingerprints was compared separately with the two data sets collected at each of the two wavelengths. It was demonstrated with the use of principal component analysis (PCA), that multi-wavelength fingerprints provided a much improved representation of the differences in the samples. Thereafter, the multi-wavelength fingerprint data set was submitted for classification to a suite of chemometrics methods viz. fuzzy clustering (FC), SIMCA and the rank ordering MCDM PROMETHEE and GAIA. Each method highlighted different properties of the data matrix according to the fingerprints from different types of Cassia seeds. In general, the PROMETHEE and GAIA MCDM methods provided the most comprehensive information for matching and discrimination of the fingerprints, and appeared to be best suited for quality assurance purposes for these and similar types of sample.     

Ising model versus normal form game

The 2-spin Ising model in statistical mechanics and the 2×2 normal form game in game theory are compared. All configurations allowed by the second are recovered by the first when the only concern is about Nash equilibria. But it holds no longer when Pareto optimum considerations are introduced as in the prisoner’s dilemma. This gap can nevertheless be filled by adding a new coupling term to the Ising model, even if that term has up to now no physical meaning. An individual complete bilinear objective function is thus found to be sufficient to reproduce all possible configurations of a 2×2 game. Using this one-to-one mapping new perspectives for future research in both fields can be envisioned.