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Gluing data

A trisp is described in a purely combinatorial way by its gluing data. Definition 2.44. The gluing data for a trisp A comprise the following parts ... [Pg.29]

The fact that the gluing data are discrete and are given by set maps only is very important. The precise gluing procedure is as follows. Note that an order-preserving injection / [m + 1] [n - -1] induces a linear inclusion map Mf R"+, which takes the ith vector of the normal orthogonal... [Pg.30]

To start with, the deletion of a vertex, or, more generally of a higherdimensional simplex, is straightforward. When Z is a trisp and a Sm ) is an m-simplex of A, the gluing data of the trisp dl/i(o-) are obtained from the gluing data for A by deleting the element a from Sm A) and deleting all elements of S (Z ), for n > m that map to a under some map Bf. In other words, we delete all simplices that contain [Pg.32]

It is also possible to define joins of trisps. Assume that the triangulated spaces 4i and A2 are given by their gluing data and let us describe the gluing data for the trisp 4i A. The sets indexing simplices of A A2 are given... [Pg.32]

When A is an arbitrary trisp, the simplices in the gluing data come with a standard orientation. Sometimes, however, it can be advantageous to consider some nonstandard orientations. It is therefore useful to have the following notion. [Pg.41]

The data led to tire cycle shown in figure C2.7.8. Here, only tire active site on tire interior enzyme surface (section C2.6) is depicted, consisting of R groups including aspartic acid, glutamic acid and otliers, represented witli tire shortliand Asp, Glu etc tire subscripts represent tlie positions on tlie polypeptide chain. [Pg.2707]

Fig. 3. Some representative pair potentials Uy(r), sealed to move their interesting range to [0,5]. The numbers above each potential denote the class label 7 and the iiinnber of data points available for the fit. (For example, elass 63 gives distanee 3 potentials for the amino acid pairs Lys-Asp, Arg-Lys and Glu-Tyr.) The spectrum below each potential consists of 50 lines pieked uniformly from the data. Fig. 3. Some representative pair potentials Uy(r), sealed to move their interesting range to [0,5]. The numbers above each potential denote the class label 7 and the iiinnber of data points available for the fit. (For example, elass 63 gives distanee 3 potentials for the amino acid pairs Lys-Asp, Arg-Lys and Glu-Tyr.) The spectrum below each potential consists of 50 lines pieked uniformly from the data.
Substitution of Asn or Glu for Asp707 inhibited Ca transport both with ATP or acetylphosphate as energy donors the formation of E P from ATP in the presence of 0.1 mM Ca or from Pi in the absence of Ca was also inhibited [103]. This data is consistent with a requirement for Asp707 in the phosphorylation of the enzyme by ATP, acetylphosphate and inorganic phosphate. [Pg.81]

Nitromalonamide was synthesized according to Hantzsch [10]. Single crystals were grown by evaporation from a methoxy-ethanol solution. The crystal used for data collection was glued to a few carbon fibres stuck on a copper wire for better thermal... [Pg.326]

Although the occurrence of six conserved cysteine residues, the spacing patterns of these residues, and possibly the pattern of disulfide structures are hallmarks of OBPs, the six-cysteine criterion alone is not sufficient to classify a certain protein as an olfactory protein [ 16]. It is important to demonstrate that an OBP is expressed only (or predominantly) in olfactory tissues. Evidence for their ability to bind odorants is also desirable, but not sine qua non. One of these criteria alone would not be enough to define a given protein as an OBP. For example, bovine serum albumin (BSA) binds to insect pheromones (Leal, unpublished data) and yet it is not an OBP because it not expressed in insect olfactory tissues. Conversely, a protein specific to antennae is not necessarily an OBP. There are other proteins that may be expressed in antennae but not in control tissues. Non-OBPs specifically accumulated in insect antennae have been previously detected (Ishida and Leal, unpublished data). Also, a glu-tathione-S-transferase has been reported to be expressed specifically in antennae of M. sexta [52]. [Pg.25]

In one case, a small peptide with enzyme-like capability has been claimed. On the basis of model building and conformation studies, the peptide Glu-Phe-Ala-Ala-Glu-Glu-Phe-Ala-Ser-Phe was synthesized in the hope that the carboxyl groups in the center of the model would act like the carboxyl groups in lysozyme 17). The kinetic data in this article come from assays of cell wall lysis of M. lysodeikticus, chitin hydrolysis, and dextran hydrolysis. All of these assays are turbidimetric. Although details of the assay procedures were not given, the final equilibrium positions are apparently different for the reaction catalyzed by lysozyme and the reaction catalyzed by the decapeptide. Similar peptide models for proteases were made on the basis of empirical rules for predicting polypeptide conformations. These materials had no amidase activity and esterase activity only slightly better than that of histidine 59, 60). [Pg.209]


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See also in sourсe #XX -- [ Pg.28 ]




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Gluing

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