Leung Y K, Wong L K
Department of Pediatrics, State University of New York, Children's Hospital, Buffalo 14222.
J Recept Res. 1989;9(2):127-42. doi: 10.3109/10799898909066049.
In the study of ligand-receptor interaction, binding studies using radiolabelled ligands are usually conducted and results analyzed according to the method originally described by Scatchard. When significant levels of endogenous ligands are present, assumption of a linear relationship between the bound-to-free ratio and the bound ligand may be erroneous and chemical methods have been described to resolve this problem. We present a mathematical approach to the system, using a method based on multiple regression of binding data. A three-dimensional graphic representation of the binding data analogous to the original Scatchard plot is proposed. When the endogenous and the exogenous ligands are different, the linear regression model is applicable only if their affinity constants are known. Non-linear curve-fitting computer programs should be used to resolve this problem when these constants are unknown.
在配体 - 受体相互作用的研究中，通常会进行使用放射性标记配体的结合研究，并根据最初由斯卡查德描述的方法分析结果。当存在显著水平的内源性配体时，假设结合与游离比率和结合配体之间存在线性关系可能是错误的，并且已经描述了化学方法来解决这个问题。我们提出了一种针对该系统的数学方法，使用基于结合数据多元回归的方法。提出了一种类似于原始斯卡查德图的结合数据的三维图形表示。当内源性和外源性配体不同时，只有在它们的亲和常数已知时，线性回归模型才适用。当这些常数未知时，应使用非线性曲线拟合计算机程序来解决这个问题。
