2 resultados para Algebraic varieties

em Brock University, Canada


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The characteristic "foxy" aroma of Vilis labrusca Concord grapes is due in large part to methyl anthranilate, a volatile ester formed by the enzyme anthraniloyl- CoA:methanol anthraniloyltransferase (VIAMAT) of the superfamily of BARD acyltransferases. The publication of the genome ofthe closely related wine grape Vilis vinifera, which does not accumulate methyl anthranilate, permitted the searching for any putative VlAU4T-like genes, with the result of 5 highly homologous candidates being found, with one candidate sharing 95% identity to VlAU4T. Probing the gene expression of 18 different cultivars of V. vinifora ripe berries by RT -PCR showed that many varieties do indeed express VlAU4T-like genes. Subsequent cloning of the full-length open reading frame of one of these genes from eDNA prepared from the cultivar Sauvignon Blanc permitted preliminary biochemical characterization of the enzyme after heterologous expression in E. coli. It was determined that this alcohol acyltransferase (named VvsbAATl) catalyzes the formation of cis-3-hexenyl acetate, a "green-leaf' volatile. Although the cloned gene from Sauvignon Blanc had 95% identity at the amino acid level to VIAMAT, it displayed an altered substrate specificity and expression pattern. These results highlight the difficulty in predicting substrate specificity and function of enzymes through the basis of sequence homology, which is a common finding in the study of BARD acyltransferases. Also, the determination of function of VvsbAATl and other BARD acyltransferases in V. vinifera could be used as a genetic marker for certain aroma characteristics in grape breeding programs.

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Classical relational databases lack proper ways to manage certain real-world situations including imprecise or uncertain data. Fuzzy databases overcome this limitation by allowing each entry in the table to be a fuzzy set where each element of the corresponding domain is assigned a membership degree from the real interval [0…1]. But this fuzzy mechanism becomes inappropriate in modelling scenarios where data might be incomparable. Therefore, we become interested in further generalization of fuzzy database into L-fuzzy database. In such a database, the characteristic function for a fuzzy set maps to an arbitrary complete Brouwerian lattice L. From the query language perspectives, the language of fuzzy database, FSQL extends the regular Structured Query Language (SQL) by adding fuzzy specific constructions. In addition to that, L-fuzzy query language LFSQL introduces appropriate linguistic operations to define and manipulate inexact data in an L-fuzzy database. This research mainly focuses on defining the semantics of LFSQL. However, it requires an abstract algebraic theory which can be used to prove all the properties of, and operations on, L-fuzzy relations. In our study, we show that the theory of arrow categories forms a suitable framework for that. Therefore, we define the semantics of LFSQL in the abstract notion of an arrow category. In addition, we implement the operations of L-fuzzy relations in Haskell and develop a parser that translates algebraic expressions into our implementation.