31P{1H}-n.m.r. as a tool for identification of ruthenium isomers containing PPh3 or 1,4-bis(diphenylphosphino)butane ligands. X-ray structures of the cis-{RuCl2(PPh3)2 [4,4′-(-X)2-2,2′-bipy]} complexes [X=-H, -Me, -SMe and (-Cl, -Me)]

A series of cis-{RuCl₂(PPh₃)₂[4,4-(X)₂-2,2-bipy]} [cis-chlorines; X=-H, -Me, -SMe, and (-Cl,-Me)] complexes have had their structures determined by single crystal X-ray diffraction. The geometry of these complexes, also determined in CH₂Cl₂ solution by ³¹P{¹H}-n.m.r. spectroscopy, showed that the chemical shifts for the phosphorus atoms are slightly dependent on the pKa of the 4,4-(-X)₂-2,2-bipy ligands.     

Studies on the chromatographic fractionation of Trichoderma reesei cellulases by hydrophobic interaction

This work reports new studies on cellulases fractionation by hydrophobic interaction chromatography. The purification procedure for the Trichoderma reesei cellulase complex consists of gel permeation chromatography on Sephadex G-25M followed by an ultrafiltration step. The concentrated enzyme solution was then fractionated on Sepharose CL-6B modified by covalent immobilization of 1,4-butanediol diglycidyl ether. The influence of the mobile phase composition on the chromatographic behaviour of the T. reesei cellulase complex was investigated. By using 13% (w/v) ammonium sulphate in eluent buffer, a selective separation of beta-glucosidase with a two-fold increase in specific activity and a recovery of 60% cellobiase activity were obtained. Other commercial hydrophobic supports (octyl- and phenyl-Sepharose) were also tested and compared under the same conditions.     

Application of chitosan matrix for delivery of rutin

Chitosan matrices are an alternative material to the food industry, due to its ability to release bioactive compounds through interconnected cavities. Chitosan is a biomaterial of excellence, because it shows unique features, such as biocompatibility, non-toxicity, bactericidal action and the ability to associate with other compounds. Thus, this study aimed the development of chitosan matrices incorporated with rutin, as well as the evaluation of rutin release. Chitosan matrices with rutin were prepared by the coacervation method in alkaline solution and subsequently characterized through FT-IR, TG-DSC, X-ray diffraction, SEM and further submitted to rutin release assay. Results show the effectiveness in the incorporation of rutin into the polymeric matrix. The polymeric matrix with rutin can quickly release it, which provides a wide range of applications, such as carrier of rutin as a micronutrient food additive.     

Investigating microcrystalline cellulose crystallinity using Raman spectroscopy

Cellulose - Microcrystalline cellulose (MCC) is a semi-crystalline material with inherent variable crystallinity due to raw material source and variable manufacturing conditions. MCC crystallinity...     

Classical Food Quality Attributes and the Metabolic Profile of Cambuci,a Native Brazilian Atlantic Rainforest Fruit

The cambuci is a native Brazilian fruit from the Atlantic Forest biome. A soft and astringent pulp, a green color, and a sweet aroma are its main characteristics. Classical food quality attributes (fresh fruit mass, fruit height, diameters, total soluble solid, titratable acidity, and ratio) and the metabolic profile from ten accessions from three different locations were analyzed herein by analytical methods (refractometry and neutralization titration) and nuclear magnetic resonance spectroscopy. Concerning sugar content, sucrose was the predominant compound, with glucose and fructose alternating in second, depending on the accession. Citric acid was the most relevant acid, followed by shikimic and quinic acids in quite variable amounts. These three main acids vary in amounts for each accession. Ascorbic acid content emerges as an important quality attribute and makes this fruit nutritionally attractive, due to values comparable to those contained in citric fruits. The main amino acids identified in cambuci were glutamic acid individually or in comprising the tripeptide glutathione (glutamic acid, cysteine, glycine). The quality diversity of the evaluated accessions suggests the potentiality of cambuci use in future breeding programs.     

Asymptotics for a Population Size Estimator of a Partially Uncatchable Population

We present the asymptotic distribution for an estimator of the population size for the case of s partially catchable populations. Our approach is useful for capture–recapture studies with photo-identification data where part of the population does not have any distinctive characteristic which allows unique identification of the individuals. This work represents an extension of Theorem 4 in Sanathanan (1972, The Annals of Mathematical Statistics, 43, 142–152).     

Integral equation formulation for buoyancy-driven convection problems

An integral equation formulation for buoyancy-driven convection problems is developed and illustrated. Buoyancy-driven convection in a bounded cylindrical geometry with a free surface is studied for a range of aspect ratios and Nusselt numbers. The critical Rayleigh number, the nature of the cellular motion, and the heat transfer enhancement are computed using linear theory. Green's functions are used to convert the linear problem into linear Fredholm integral equations. Theorems are proved which establish the properties of the eigenvalues and eigenfunctions of the linear integral operator which appears in these equations.     

The symmetric eigenvalue complementarity problem

In this paper the Eigenvalue Complementarity Problem (EiCP) with real symmetric matrices is addressed. It is shown that the symmetric (EiCP) is equivalent to finding an equilibrium solution of a differentiable optimization problem in a compact set. A necessary and sufficient condition for solvability is obtained which, when verified, gives a convenient starting point for any gradient-ascent local optimization method to converge to a solution of the (EiCP). It is further shown that similar results apply to the Symmetric Generalized Eigenvalue Complementarity Problem (GEiCP). Computational tests show that these reformulations improve the speed and robustness of the solution methods.

     

Existence and regularity properties of non-isotropic singular elliptic equations

We establish existence and sharp regularity results for solutions to singular elliptic equations of the order u ^−β , 0 < β < 1, with gradient dependence and involving a forcing term λ f(x, u). Our approach is based on a singularly perturbed technique. We show that if the forcing parameter λ > 0 is large enough, our solution is positive. For λ small solutions vanish on a nontrivial set and therefore they exhibit free boundaries. We also establish regularity results for the free boundary and study the asymptotic behavior of the problem as b\searrow 0{\beta\searrow 0} and b\nearrow 1{\beta\nearrow 1}. In the former, we show that our solutions u _β converge to a C ^1,1 function which is a solution to an obstacle type problem. When b\nearrow 1{\beta\nearrow 1} we recover the Alt-Caffarelli theory.