Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models
Locally D-optimal designs based on a class of composed models resulted from blending Emax and one-compartment models
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DOI：
10.1214/009053607000000776
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发表时间：
2008-02-01
影响因子：
4.5
通讯作者：
Hedayat, A. S.
中科院分区：
文献类型：
--
作者：
Fang, X.;Hedayat, A. S.
介绍了一类结合药动室模型和药效学Emax模型的非线性模型。发现了四参数组合模型的局部d -最优设计是一个饱和四点均匀LD设计，设计空间的两个边界点在LD设计支持下。对于五参数组合模型，导出了LD设计需要最小采样时间点个数的充分条件。研究了两种模型的鲁棒LD设计。发现如果两个组合模型中的线性参数为扰值参数，则具有k个参数的LD设计与具有k - 1个参数的LD设计等效。介绍了LD设计的各种实例。
A class of nonlinear models combining a pharmacokinetic compartmental model and a pharmacodynamic Emax model is introduced. The locally D-optimal (LD) design for a four-parameter composed model is found to be a saturated four-point uniform LD design with the two boundary points of the design space in the LD design support. For a five-parameter composed model, a sufficient condition for the LD design to require the minimum number of sampling time points is derived. Robust LD designs are also investigated for both models. It is found that an LD design with k parameters is equivalent to an LD design with k - 1 parameters if the linear parameter in the two composed models is a nuisance parameter. Assorted examples of LD designs are presented.