Hasil untuk "math.GM"

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CrossRef Open Access 2023
Advancing Our Understanding of Pyranopterin-Dithiolene Contributions to Moco Enzyme Catalysis

Sharon J. Nieter Burgmayer, Martin L. Kirk

The pyranopterin dithiolene ligand is remarkable in terms of its geometric and electronic structure and is uniquely found in mononuclear molybdenum and tungsten enzymes. The pyranopterin dithiolene is found coordinated to the metal ion, deeply buried within the protein, and non-covalently attached to the protein via an extensive hydrogen bonding network that is enzyme-specific. However, the function of pyranopterin dithiolene in enzymatic catalysis has been difficult to determine. This focused account aims to provide an overview of what has been learned from the study of pyranopterin dithiolene model complexes of molybdenum and how these results relate to the enzyme systems. This work begins with a summary of what is known about the pyranopterin dithiolene ligand in the enzymes. We then introduce the development of inorganic small molecule complexes that model aspects of a coordinated pyranopterin dithiolene and discuss the results of detailed physical studies of the models by electronic absorption, resonance Raman, X-ray absorption and NMR spectroscopies, cyclic voltammetry, X-ray crystallography, and chemical reactivity.

CrossRef Open Access 2023
Phage vs. Phage: Direct Selections of Sandwich Binding Pairs

Emily C. Sanders, Alicia M. Santos, Eugene K. Nguyen et al.

The sandwich format immunoassay is generally more sensitive and specific than more common assay formats, including direct, indirect, or competitive. A sandwich assay, however, requires two receptors to bind non-competitively to the target analyte. Typically, pairs of antibodies (Abs) or antibody fragments (Fabs) that are capable of forming a sandwiching with the target are identified through a slow, guess-and-check method with panels of candidate binding partners. Additionally, sandwich assays that are reliant on commercial antibodies can suffer from changes to reagent quality outside the researchers’ control. This report presents a reimagined and simplified phage display selection protocol that directly identifies sandwich binding peptides and Fabs. The approach yielded two sandwich pairs, one peptide–peptide and one Fab–peptide sandwich for the cancer and Parkinson’s disease biomarker DJ-1. Requiring just a few weeks to identify, the sandwich pairs delivered apparent affinity that is comparable to other commercial peptide and antibody sandwiches. The results reported here could expand the availability of sandwich binding partners for a wide range of clinical biomarker assays.

CrossRef 2023
A new method for parameter estimation of extended grey GM(2, 1) model based on difference equation and its application

Maolin Cheng

<abstract><p>The common models used for grey system predictions include the GM(1, 1), the GM(N, 1), the GM(1, N) and so on, in which the GM(N, 1) model is an important type. Especially, the GM(2, 1) model is used widely, but it shows low modeling precision sometimes because of the improper parameter estimation method. To improve the model's precision, the paper proposes an extended grey GM(2, 1) model and gives a new parameter estimation method for the extended GM(2, 1) model based on the difference equation. The paper builds eight different grey models for the example. Results show that the improved method proposed has the highest precision. The method proposed can improve the popularization and application of the grey GM(N, 1) model.</p></abstract>

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