AN APPROACH TO OBTAINING AN OPTIMAL DESIGN IN THE NON-LINEAR LEAST SQUARES DETERMINATION OF BINDING PARAMETERS IN A COMPLEX BIOCHEMICAL SYSTEM     

GUIDO CRISPONI  VALERIA NURCHI  M.LUISA GANADU 《地理学报(英文版)》1990,(2)

The design of an experiment for the determination of binding parameters in the association between aligand and a macromolecule with two groups of non-interacting binding sites is proposed.In theGauss-Newton non-linear least squares treatment the standard deviation of each parameter is given asthe product of two terms:one depending on the experimental error and the other,the diagonal elementof the dispersion matrix,depending only on the independent variables of the system.In order to reachan optimal experimental design,these diagonal elements of the information matrix have to be minimized.In our approach this is achieved by searching those values of the independent variable which maximizethe determinant of the information matrix.Furthermore,the limits of validity of the model are deducedfrom an analysis of the diagonal elements of the information matrix obtained under optimal conditions.  相似文献