An evaluation of numerical integration algorithms for the estimation of the area under the curve (AUC) in pharmacokinetic studies
作者:
Zhiling Yu,
Francis L. S. Tse,
期刊:
Biopharmaceutics&Drug Disposition
(WILEY Available online 1995)
卷期:
Volume 16,
issue 1
页码: 37-58
ISSN:0142-2782
年代: 1995
DOI:10.1002/bdd.2510160105
出版商: John Wiley&Sons, Ltd.
关键词: Area under the curve;Numerical integration;Cubic spline;Trapezoidal method;Log trapezoidal method
数据来源: WILEY
摘要:
AbstractSix numerical integration algorithms based on linear and log trapezoidal methods as well as four cubic‐spline methods were proposed for estimation of area under the curve (AUC). These six different algorithms were implemented using IMSL/IDLTMcommand language and evaluated using data simulated under five different dosing conditions and two different sampling conditions. Comparisons between AUC estimations using these six different algorithms and the theoretical results were made in terms of both overall AUC values and the superimposability of the concentration‐time profiles. In well designed studies with ample data points, the algorithm based on IMSL/IDLTMfunction CSSHAPE with concavity preservation gave the best performance. In contrast, when the frequency of blood collection was limited, the algorithm based on the log trapezoidal rule proved to be stable with reasonable accuracy, and is recommended as the practical method for numerical interpolation and integration in pharmacokinetic studies. Algorithms based on the combination of the log trapezoidal rule and cubic‐spline methods using IMSL/IDLTMfunction CSSHAPE can be developed to enhance overall perfor
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