Brittle to Quasi-Brittle Transition

Abstract. The present study focuses on the kinetic and non-deterministic aspects of the brittle to quasi-brittle transition. A solid is approximated by a lattice formed by the interacting continuum particles and the evolution of damage is estimated using particle dynamics. The onset of transition is measured by the rate of the change of correlation length. The proposed method is illustrated on the examples of creep rupture, strain localization and dynamic expansion of a circular void in a brittle plate.Sommario. Viene posta l'attenzione sugli aspetti cinetici e non deterministici della transizione dal comportamento fragile a quello quasi-fragile. Un solido viene approssimato da un reticolo formato da particelle interagenti e l'evoluzione del danno viene stimata tramite la dinamica delle particelle. L'inizio della transizione viene misurato tramite la variazione della lunghezza di correlazione. Il metodo proposto viene illustrato su esempi di rottura per creep, localizzazione della deformazione e l'espansione di un foro circolare in una piastra fragile.     

Lipase Production by Botryosphaeria ribis EC-01 on Soybean and Castorbean Meals: Optimization, Immobilization, and Application for Biodiesel Production

The effects of soybean and castorbean meals were evaluated separately, and in combinations at different ratios, as substrates for lipase production by Botryosphaeria ribis EC-01 in submerged fermentation using only distilled water. The addition of glycerol analytical grade (AG) and glycerol crude (CG) to soybean and castorbean meals separately and in combination, were also examined for lipase production. Glycerol-AG increased enzyme production, whereas glycerol-CG decreased it. A 2⁴ factorial design was developed to determine the best concentrations of soybean meal, castorbean meal, glycerol-AG, and KH₂PO₄ to optimize lipase production by B. ribis EC-01. Soybean meal and glycerol-AG had a significant effect on lipase production, whereas castorbean meal did not. A second treatment (2² factorial design central composite) was developed, and optimal lipase production (4,820 U/g of dry solids content (ds)) was obtained when B. ribis EC-01 was grown on 0.5 % (w/v) soybean meal and 5.2 % (v/v) glycerol in distilled water, which was in agreement with the predicted value (4,892 U/g ds) calculated by the model. The unitary cost of lipase production determined under the optimized conditions developed ranged from US$0.42 to 0.44 based on nutrient costs. The fungal lipase was immobilized onto Celite and showed high thermal stability and was used for transesterification of soybean oil in methanol (1:3) resulting in 36 % of fatty acyl alkyl ester content. The apparent K _m and V _max were determined and were 1.86 mM and 14.29 μmol min^?1 mg^?1, respectively.     

Synthesis of L-Rhamnose and N -Acetyl-D-Glucosamine Derivatives Entering in the Composition of Bacterial Polysaccharides by Use of Glucansucrases

Transglucosylation reactions using sucrose as glucosyl donor and either N-acetyl-D-glucosamine, L-rhamnose, or methyl α -L-rhamnopyranoside as acceptors were carried out with recombinant glucansucrases from families 70 and 13 of glycoside-hydrolases. Depending on the enzyme specificity, various carbohydrate structures were synthesized and characterized including α -D-glucopyranosyl-(1 → 6)-N-acetyl-D-glucosamine, α -D-glucopyranosyl-(1 → 4)-N-acetyl-D-glucosamine, α -D-glucopyranosyl-(1 → 1)-β -L-rhamnopyranoside, α -D-glucopyranosyl-(1 → 4)-α -D-glucopyranosyl-(1 → 1)-β -L-rhamnopyranoside, methyl α -D-glucopyranosyl-(1 → 4)-α -L-rhamnopyranoside, and methyl α -D-glucopyranosyl-(1 → 3)-α -L-rhamnopyranoside. Disaccharides were obtained with yields going up to 64%. The structural diversity generated as well as the obtained yields appear to be related to enzyme active site architecture, which can be modulated and improved by enzyme engineering. Several of the obtained disaccharides enter in the composition of surface polysaccharides of pathogenic bacteria, among which is Shigella flexneri. Our results outline the potential of glucansucrases in the chemo-enzymatic synthesis of complex carbohydrates of biological interest whose chemical synthesis may be seen as a limitation.     

Thermodynamics of Complexation of Tetraalkylammonium and Rare-earth Cations with Two Sulfonatocalix[n]arenes (n=4 and 6) in Aqueous Solution

We report results of a microcalorimetry study of the association of inorganic and organic cations with two p-sulfonatocalix[n]arenes (host 1: n = 4; host 2: n = 6) in aqueous solution at 298.15 K. First, we have determined the thermodynamic parameters for the complexation between the host 2 and a series of quaternary ammonium cations. We have evaluated the influence of the pH on the structure and energetics of these organic complexes. We have also reported the association constant and enthalpy of reaction for the complexation of some rare-earth cations (Sm³⁺, Dy³⁺, Y³⁺ and Sc³⁺ cations) with the two hosts. In all cases we have observed the formation of 1:1 complexes.

Whereas the association is driven by a favourable entropy change for the inorganic cations (ΔH > 0 and TΔS>>0), it is controlled by a favourable enthalpy change for the organic cations (ΔH < < 0 and TΔS < 0 or >0). In acidic solution, the complexes formed between host 2 and tetraalkylammonium cations are weaker than those formed with the cyclic tetramer. In neutral solution this effect is not observed. All the results are in line with a conformational change of host 2 with the pH.     

Characterization of silver sulfadiazine-loaded solid lipid nanoparticles by thermal analysis

The aim of this study is the solid-state characterization of solid lipid nanoparticles (SLN) based on Compritol^® 888 (C888) and Lutrol^® F68 (F68), loaded with silver sulfadiazine (AgSD), used to develop sponge-like dressings to treat chronic skin ulcers such as decubitis and leg ulcers. Silver compounds like AgSD, in fact, are used to prevent and/or to treat wound colonization that could impair healing, also in the case of antibiotic-resistant bacteria. Thermal analysis, with support from powder X-ray diffractometry and Fourier transform infrared spectroscopy, is used to characterize lipid and drug bulk, unloaded and drug-loaded SLN. In particular, differential scanning calorimetry is used to investigate the degree of crystallinity and the solid-state modification of lipid, two parameters correlated to drug incorporation and drug release rates. The solid-state characterization demonstrates AgSD entrapment in C888 as a core enclosed into F68 shell. AgSD SLN are also stored at different temperatures 25 and 37 °C, respectively, to study the effect of storage conditions, that induce an increase of the lipid crystallinity index correlated to drug release from the lipid matrix.     

Chemometric tool for identification of iron–gall inks by use of visible–near infrared fibre optic reflection spectroscopy

A method has been developed for identification of corrosive iron–gall inks in historical drawings and documents. The method is based on target-factor analysis of visible–near infrared fibre optic reflection spectra (VIS–NIR FORS). A set of reference spectra was obtained from model samples of laboratory-prepared inks covering a wide range of mixing ratios of basic ink components deposited on substrates and artificially aged. As criteria for correspondence of a studied spectrum with a reference spectrum, the apparent error in target (AET) and the empirical function SPOIL according to Malinowski were used. The capability of the proposed tool to distinguish corrosive iron–gall inks from bistre and sepia inks was evaluated by use of a set of control samples of bistre, sepia, and iron–gall inks. Examples are presented of analysis of historical drawings from the 15th and 16th centuries and written documents from the 19th century. The results of analysis based on the tool were confirmed by XRF analysis and colorimetric spot analysis.

Enantioselective analysis of zopiclone in rat brain by liquid chromatography tandem mass spectrometry

A new high-performance liquid chromatographic method with triple quadrupole mass spectrometry detection was developed and validated for the quantification of zopiclone enantiomers in rat brain samples. Zopiclone enantiomers were resolved on a CHIRALPAK AD column with a mobile phase consisting of acetonitrile/ethanol/methanol (60:20:20, v/v/v) at a flow rate of 1.3 mL?min^-1. Moclobemide was used as internal standard. The sample treatment procedure was carried out employing solid-phase extraction, yielding mean absolute recoveries of 89.6 and 91.7 % for each zopiclone enantiomer. The validated method showed linearity in the range of 0.29–344.8 ng?g^?1, with quantification limits of 0.29 ng?g^?1 for both enantiomers. Precision and accuracy were within acceptable levels of confidence (<15 %). The method was applied in a pilot study of zopiclone kinetic disposition in rats. It could be observed that the levels of (+)-(S)-zopiclone were always higher than those of (-)-(R)-zopiclone, confirming the stereoselective disposition of zopiclone.     

The enhanced cyan fluorescent protein: a sensitive pH sensor for fluorescence lifetime imaging

pH is an important parameter that affects many functions of live cells, from protein structure or function to several crucial steps of their metabolism. Genetically encoded pH sensors based on pH-sensitive fluorescent proteins have been developed and used to monitor the pH of intracellular compartments. The quantitative analysis of pH variations can be performed either by ratiometric or fluorescence lifetime detection. However, most available genetically encoded pH sensors are based on green and yellow fluorescent proteins and are not compatible with multicolor approaches. Taking advantage of the strong pH sensitivity of enhanced cyan fluorescent protein (ECFP), we demonstrate here its suitability as a sensitive pH sensor using fluorescence lifetime imaging. The intracellular ECFP lifetime undergoes large changes (32 %) in the pH 5 to pH 7 range, which allows accurate pH measurements to better than 0.2 pH units. By fusion of ECFP with the granular chromogranin A, we successfully measured the pH in secretory granules of PC12 cells, and we performed a kinetic analysis of intragranular pH variations in living cells exposed to ammonium chloride.     

N,N,N-trimethylchitosan iodide complexes with a weak or a strong polyacid and nanoparticles thereof

Polyelectrolyte complexes (PECs) were prepared from N,N,N-trimethylchitosan iodide (TMCh) of different molar mass and a weak polyacid-poly(acrylic acid) (PAA) or a strong polyacid-poly(2-acrylamido-2-methylpropanesulfonic acid) (PAMPS). The quaternization of the amino groups of chitosan enabled the formation of water-insoluble PECs in a broad pH range—from 3 to 12 and from 1 to 12 for TMCh/PAA and TMCh/PAMPS, respectively. Whereas the stoichiometry of the TMCh/PAA complex was pH dependant, the stoichiometry of the TMCh/PAMPS complex did not depend on pH. The stoichiometry and the yield of the complexes were influenced by the molar mass of TMCh. PEC nanoparticles were produced by mixing dilute solutions of the oppositely charged polyelectrolytes as revealed by dynamic light scattering analyses. The size of the particles was in the range of 135–924 nm and depended on the polyelectrolyte molar mass, the initial polyelectrolyte concentration, and the molar fraction of the TMCh units. Microbiological screening against Staphylococcus aureus and Escherichia coli revealed that PECs between TMCh and PAA or PAMPS have a good antibacterial effect, which is more slowly pronounced than that of the starting TMCh of different molar mass.     

Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models

We first show asymptotic L ² bounds for a class of equations, which includes the Burger-Sivashinsly model for odd solutions with periodic boundary conditions. We consider the conditional stability of stationary solutions of Kuramoto-Sivashinsky equation in the periodic setting. We establish rigorously the general structure of the spectrum of the linearized operator, in particular the linear instability of steady states. In addition, we show conditional asymptotic stability with asymptotic phase, under a natural spectral hypothesis for the corresponding linearized operator. For the zero solution, we have more precise results. Namely, in the non-resonant regime L ≠ n π, we prove conditional asymptotic stability, provided one considers only mean value zero data. If, however, L = n ₀ π (but still ò\nolimits_-L^L u₀(x) dx=0{\int\nolimits_{-L}^L u_0(x) dx=0}), then we have conditional orbital stability. More specifically, the solutions relax to a small (but generally non-zero) function as long as the initial data are small and lie on a center-stable manifold of codimension 2(n ₀ − 1).