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生物测定的数学建模

Mathematical Modeling of Bioassays.

作者信息

Sotnikov D V, Zherdev A V, Dzantiev B B

机构信息

Bach Institute of Biochemistry, Research Center for Biotechnology, Russian Academy of Sciences, Moscow, 119071, Russia.

出版信息

Biochemistry (Mosc). 2017 Dec;82(13):1744-1766. doi: 10.1134/S0006297917130119.

DOI:10.1134/S0006297917130119
PMID:29523069
Abstract

The high affinity and specificity of biological receptors determine the demand for and the intensive development of analytical systems based on use of these receptors. Therefore, theoretical concepts of the mechanisms of these systems, quantitative parameters of their reactions, and relationships between their characteristics and ligand-receptor interactions have become extremely important. Many mathematical models describing different bioassay formats have been proposed. However, there is almost no information on the comparative characteristics of these models, their assumptions, and predictive insights. In this review we suggested a set of criteria to classify various bioassays and reviewed classical and contemporary publications on these bioassays with special emphasis on immunochemical analysis systems as the most common and in-demand techniques. The possibilities of analytical and numerical modeling are discussed, as well as estimations of the minimum concentrations that may be detected in bioassays and recommendations for the choice of assay conditions.

摘要

生物受体的高亲和力和特异性决定了基于这些受体的分析系统的需求和深入发展。因此,这些系统机制的理论概念、其反应的定量参数以及它们的特性与配体 - 受体相互作用之间的关系变得极其重要。已经提出了许多描述不同生物测定形式的数学模型。然而,关于这些模型的比较特征、其假设和预测见解几乎没有信息。在本综述中,我们提出了一套对各种生物测定进行分类的标准,并回顾了关于这些生物测定的经典和当代出版物,特别强调免疫化学分析系统,因为它是最常见且需求最大的技术。讨论了分析和数值建模的可能性,以及生物测定中可检测到的最低浓度的估计和测定条件选择的建议。

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