Savic Radojka M, Kjellsson Maria C, Karlsson Mats O
Division of Pharmacokinetics and Drug Therapy, Department of Pharmaceutical Biosciences, Faculty of Pharmacy, Uppsala University, Uppsala, Sweden.
Eur J Pharm Sci. 2009 Apr 11;37(1):27-35. doi: 10.1016/j.ejps.2008.12.014. Epub 2008 Dec 30.
In NONMEM VI, a novel method exists for estimation of a nonparametric parameter distribution. The parameter distributions are approximated by discrete probability density functions at a number of parameter values (support points). The support points are obtained from the empirical Bayes estimates from a preceding parametric estimation step, run with the First Order (FO) or First Order Conditional Estimation (FOCE) methods. The purpose of this work is to evaluate this new method with respect to parameter distribution estimation.
The performance of the method, with special emphasis on the analysis of data with non-normal distribution of random effects, was studied using Monte Carlo (MC) simulations.
The mean value (and ranges) of absolute relative biases (ARBs, %) in parameter distribution estimates with nonparametric methods preceded with FO and FOCE were 0.80 (0.1-3.7) and 0.70 (0-3), respectively, while for parametric methods, these values were 23.74 (3.3-97.5) and 4.38 (0.1-17.9), for FO and FOCE, respectively. The nonparametric estimation method in NONMEM could identify non-normal parameter distributions and correct bias in parameter estimates seen when applying the FO estimation method.
The method shows promising properties when analyzing different types of pharmacokinetic (PK) data with both the FO and FOCE methods as preceding steps.
在NONMEM VI中,存在一种估计非参数参数分布的新方法。参数分布通过在多个参数值(支持点)处的离散概率密度函数进行近似。支持点是从前一个参数估计步骤的经验贝叶斯估计中获得的,该步骤使用一阶(FO)或一阶条件估计(FOCE)方法运行。这项工作的目的是评估这种关于参数分布估计的新方法。
使用蒙特卡罗(MC)模拟研究了该方法的性能,特别强调了对具有随机效应非正态分布的数据的分析。
在使用FO和FOCE作为前置步骤的非参数方法中,参数分布估计的绝对相对偏差(ARBs,%)的平均值(及范围)分别为0.80(0.1 - 3.7)和0.70(0 - 3),而对于参数方法,FO和FOCE的这些值分别为23.74(3.3 - 97.5)和4.38(0.1 - 17.9)。NONMEM中的非参数估计方法可以识别非正态参数分布,并纠正应用FO估计方法时在参数估计中出现的偏差。
当以FO和FOCE方法作为前置步骤分析不同类型的药代动力学(PK)数据时,该方法显示出有前景的特性。