Dzantiev B B, Iur'ev D K
Prikl Biokhim Mikrobiol. 1988 Nov-Dec;24(6):830-8.
The behaviour of an immunochemical analytical system based on the sequential binding of determined and labeled antigens to the specific antibodies (saturation analysis) was investigated by means of computer modelling. Using the mathematical model, optimal ratios of reagent concentrations and duration of immunochemical reactions were determined. To get satisfactory calibration curves the incubation time of the reaction with labelled antigen should be approximately equal to 0.1 k-1, where k-1 is a kinetic constant of dissociation of the antigen-antibody complex. Changes in the shape of the calibration curves caused by the presence of two populations of antibodies with different affinities for antigen and by positive cooperativity in the antigen binding to two binding sites of a single antibody were analysed. A satisfactory correlation between experimental and calculated results was illustrated by the ELISA of insulin.
通过计算机建模研究了基于测定抗原和标记抗原与特异性抗体的顺序结合的免疫化学分析系统的行为（饱和分析）。利用该数学模型，确定了试剂浓度的最佳比例和免疫化学反应的持续时间。为了获得满意的校准曲线，与标记抗原反应的孵育时间应约等于0.1k-1，其中k-1是抗原-抗体复合物解离的动力学常数。分析了由存在两种对抗原亲和力不同的抗体群体以及抗原与单个抗体的两个结合位点结合时的正协同作用引起的校准曲线形状变化。胰岛素的酶联免疫吸附测定（ELISA）表明实验结果与计算结果之间具有良好的相关性。
