Bates J H, Bates D A, Mackillop W
Meakins-Christie Laboratories, McGill University, Montreal, Quebec, Canada.
J Theor Biol. 1987 Mar 21;125(2):237-41. doi: 10.1016/s0022-5193(87)80044-9.
The double Michaelis-Menten equation describes the reaction kinetics of two independent, saturable uptake mechanisms. The use of this equation to describe drug uptake has been reported several times in the literature, and several methods have been published to fit the equation to data. So far, however, confidence intervals on the fitted kinetic parameters have not been provided. We present a grid-search method for fitting the double Michaelis-Menten equation to kinetic uptake data, and a Monte-Carlo procedure for estimating confidence intervals on the fitted parameters. We show that the fitting problem is extremely ill-conditioned, and that very accurate data are required before any confidence can be placed in the fitted parameters.
双米氏方程描述了两种独立的、可饱和摄取机制的反应动力学。文献中已多次报道使用该方程来描述药物摄取情况，并且已经发表了几种将该方程与数据拟合的方法。然而，到目前为止，尚未提供拟合动力学参数的置信区间。我们提出了一种将双米氏方程与动力学摄取数据拟合的网格搜索方法，以及一种用于估计拟合参数置信区间的蒙特卡罗程序。我们表明，拟合问题的条件极差，在对拟合参数有任何信心之前，需要非常精确的数据。
