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References
A new algorithm for discussing Grobner bases with parameters
Lot F be a set of polynomials in the variables (x) over bar = x(1,)..... x(n) with coefficients in R[(a) over bar], where R is a UFD and (a) over bar = a(1),...,a(m) a set of parameters. In this paper we present a new algorithm for discussing Grobner bases with parameters. The algorithm obtains all the cases over the parameters leading to different reduced Grobner basis, when the parameters in F are substituted in an extension field K of R. This new algorithm improves Weispfenning's comprehensive Grobner basis CGB algorithm, obtaining a reduced complete set of compatible and disjoint cases. A final improvement determines the minimal singular variety outside of which the Grobner basis of the generic case specializes properly. These constructive methods provide a very satisfactory discussion and rich geometrical interpretation in the applications. (C) 2002 Academic Press.
A panel of 13 region-specific radioimmunoassays for measurements of human chromogranin B
REGULATORY PEPTIDES
Authors: Stridsberg, M; Eriksson, B; Oberg, K; Janson, ET
Introduction: The primary structure of human chromogranin B (CgB) contains 15 pairs of basic amino acids, which are potential cleavage sites for specific endogenous proteases, but also other sites in the molecule can be subjected to cleavage. Several CgB-related peptides have been identified in tissue extracts. Materials and methods: Peptides homologous to defined parts of the human CgB molecule were selected and synthesized. Antibodies were raised and 13 specific radioimmunoassays were developed. Plasma samples from 19 patients with neuroendocrine tumors were collected and measured in all assays. Results: All region-specific assays measured circulating levels of CgB-related peptides. Only five of the assays measured high concentrations of circulating CgB and two of them correlated with that of intact chromogranin A (CgA). Conclusion: The assays presented allow measurements of defined regions of CgB and will thus become important tools for further studies of the processing of CgB. One of the assays merit further investigations as a new marker for neuroendocrine tumors. (C) 2004 Elsevier B.V. All rights reserved.