Spaces of domino tilings

We consider the set of all tilings by dominoes (2×1 rectangles) of a surface, possibly with boundary, consisting of unit squares. Convert this set into a graph by joining two tilings by an edge if they differ by aflip, i.e., a 90° rotation of a pair of side-by-side dominoes. We give a criterion to decide if two tilings are in the same connected component, a simple formula for distances, and a method to construct geodesics in this graph. For simply connected surfaces, the graph is connected. By naturally adjoining to this graph higher-dimensional cells, we obtain a CW-complex whose connected components are homotopically equivalent to points or circles. As a consequence, for any region different from a torus or Klein bottle, all geodesics with common endpoints are equivalent in the following sense. Build a graph whose vertices are these geodesics, adjacent if they differ only by the order of two flips on disjoint squares: this graph is connected. The first two authors received support from SCT and CNPq, Brazil. The other two were supported by a grant for undergraduates by CNPq.     

Fluorescence spectroscopy evaluation of fibrinogen-beta-estradiol binding

Fluorescence spectroscopy experiments were performed in order to study conformational changes induced by the binding of beta-estradiol to fibrinogen at different ligand concentrations. The association constant (Ka) obtained for the fibrinogen-beta-estradiol binding was 6.47x10(6)M(-1), indicating a high affinity interaction. Fluorescence quenching experiments showed that approximately 30% of the tryptophan residues in the protein quaternary structure are accessible to ionic quenchers. The extent of quenching in the absence and presence of beta-estradiol was maximum for cesium ions and minimum for iodide, suggesting the presence of negatively charged residues in the vicinity of the tryptophan residues. The quenching parameters obtained at different beta-estradiol concentrations show alterations that confirm a conformational change, possibly due to a discrete reorganization of tryptophan residues during fibrinogen-beta-estradiol binding. This binding may be responsible for the effects of beta-estradiol on the decrease of erythrocyte aggregation and on cardiovascular risk reduction.     

Cryopreservation of peach palm zygotic embryos

Cryopreservation is a safe and cost-effective option for long-term germplasm conservation of non-orthodox seed species, such as peach palm (Bactris gasipaes). The objective of the present study was to establish a cryopreservation protocol for peach palm zygotic embryos based on the encapsulation-dehydration technique. After excision, zygotic embryos were encapsulated with 3 percent sodium alginate plus 2 M glycerol and 0.4 M sucrose, and pre-treated or not with 1 M sucrose during 24 h, followed by air-drying. Fresh weight water contents of beads decreased from 83 percent and 87 percent to 18 percent and 20 percent for pre-treated or non-pretreated beads, respectively, after 4 h of dehydration. Sucrose pre-treatment at 1 M caused lower zygotic embryo germination and plantlet height in contrast to non-treated beads. All the variables were statistically influenced by dehydration time. Optimal conditions for recovery of cryopreserved zygotic embryos include encapsulation and dehydration for 4 h in a forced air cabinet to 20 percent water content, followed by rapid freezing in liquid nitrogen (-196 degree C) and rapid thawing at 45 degree C. In these conditions 29 percent of the zygotic embryos germinated in vitro. However, plantlets obtained from dehydrated zygotic embryos had stunted haustoria and lower heights. Histological analysis showed that haustorium cells were large, vacuolated, with few protein bodies. In contrast, small cells with high nucleus:cytoplasm ratio formed the shoot apical meristem of the embryos, which were the cell types with favorable characteristics for survival after exposure to liquid nitrogen. Plantlets were successfully acclimatized and showed 41+/-9 percent and 88+/-4 percent survival levels after 12 weeks of acclimatization from cryopreserved and non-cryopreserved treatments, respectively.     

Separation and determination of molybdenum by inductively coupled plasma optical emission spectrometry using quercetin immobilization on silica gel

A new method is described for the separation of molybdenum based on its chelation in a column packed with quercetin, immobilized on silica gel in a slightly acidic medium (pH 5.0). Recovery ranged from 95% (NIST 1515 apple leaves) to 99% (deionized, distilled water; DDW) with an absolute blank of 27.5±1.6 pg obtained for the analysis of DDW. Detection limits, absolute and relative, based on a 5.0-ml sample volume were 4.8 pg and 1 ng l⁻¹, respectively. Results are presented for molybdenum determination in two standard reference materials, NIST 1515 and NIST 1547 peach leaves, using simple calibration curves for quantification. α-Benzoinoxime was used as the eluent.     

Identification of Tyr58 as the proton donor in the aspartate-alpha-decarboxylase reaction

The decarboxylation of L-aspartate by E. coli L-aspartate-alpha-decarboxylase (ADC) is shown to occur with retention of configuration; analysis of the protein structure identifies Tyr58 as the proton donor in the decarboxylation mechanism.     

Analytical curve or standard addition method: how to elect and design--a strategy applied to copper determination in sugarcane spirits using AAS

In most instrumental analysis, the analyte concentration is usually obtained the by Analytical Curve Method (ACM) or Standard Addition Method (SAM). Thus, it is important for the analyst to select the most appropriate method, to seek the best conditions of analysis, and to provide parameters of analytical performance. A strategy to do so is proposed in this paper in conjunction with MATLAB software to implement it. The proposed strategy was applied to copper determination by atomic absorption spectrometry in Brazilian sugarcane spirits termed 'Cacha?a' and SAM was chosen as the most appropriate method. To select the best experimental design for SAM, the influence of some factors, such as the number of standard additions and concentration levels, the location of the levels and the average concentration of the standard additions were demonstrated. The design with six standard additions, four concentration levels located near the inferior and superior levels and the average concentration of the standard additions closer to zero yielded SAM with an adequate compromise between precision, cost and time of analysis. The uniform distribution of concentration levels, usually used in routine analysis, is not a good design regarding precision. On the other hand, it is adequate when the linear range is unknown. Generally, the proposed strategy can be applied to different instrumental techniques and samples, which aim to improve their analytical performance.