Modeling and Identifying Optimum Designs for Fitting Dose-Response Curves Based on Raw Optical Density Data
Modeling and Identifying Optimum Designs for Fitting Dose-Response Curves Based on Raw Optical Density Data
复制标题
基于原始光密度数据建模和识别拟合剂量响应曲线的最佳设计
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
J. Pezzuto
中科院分区：
文献类型：
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作者：
A. Hedayat;Bo Yan;J. Pezzuto
摘要对于原始光密度（ROD）数据，例如使用96孔板读数器进行生物测定时产生的数据，确定了具有两个参数的齐次非线性模型族的D-最优设计，用于拟合和研究剂量-响应曲线。此外，在k点等距和均匀设计类中，还指定了D-最优设计。此外，还比较了D-最优等间距和均匀k点设计与3 ≤ k ≤ 7的D-最优设计的D效率。这些优化设计的效率鲁棒性相对于初始标称值的参数进行了研究。此外，D-最优设计推导出一个家庭的异质非线性模型。
Abstract For raw optical density (ROD) data, such as those generated in biological assays using a 96-well plate reader, D-optimal designs are identified for a family of homogeneous nonlinear models with two parameters developed for fitting and studying dose-response curves. Further, within the class of k-point equally spaced and uniform designs, D-optimal designs are specified. Also, the D-efficiency of the D-optimal equally spaced and uniform k-point designs are compared to D-optimal design for 3 ≤ k ≤ 7. The efficiency robustness of these optimal designs with respect to initial nominal values of the parameters are investigated. In addition, D-optimal designs are derived for a family of heterogeneous nonlinear models.