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Design evaluation and optimisation in multiple response nonlinear mixed effect models: PFIM 3.0.

机译:多响应非线性混合效应模型中的设计评估和优化:PFIM 3.0。

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摘要

Nonlinear mixed effect models (NLMEM) with multiple responses are increasingly used in pharmacometrics, one of the main examples being the joint analysis of the pharmacokinetics (PK) and pharmacodynamics (PD) of a drug. Efficient tools for design evaluation and optimisation in NLMEM are necessary. The R functions PFIM 1.2 and PFIMOPT 1.0 were proposed for these purposes, but accommodate only single response models. The methodology used is based on the Fisher information matrix, developed using a linearisation of the model. In this paper, we present an extended version, PFIM 3.0, dedicated to both design evaluation and optimisation for multiple response models, using a similar method as for single response models. In addition to handling multiple response models, several features have been integrated into PFIM 3.0 for model specification and optimisation. The extension includes a library of classical analytical pharmacokinetics models and allows the user to describe more complex models using differential equations. Regarding the optimisation algorithm, an alternative to the Simplex algorithm has been implemented, the Fedorov-Wynn algorithm to optimise more practical D-optimal design. Indeed, this algorithm optimises design among a set of sampling times specified by the user. This R function is freely available at http://www.pfim.biostat.fr. The efficiency of this approach and the simplicity of use of PFIM 3.0 are illustrated with a real example of the joint PKPD analysis of warfarin, an oral anticoagulant, with a model defined by ordinary differential equations.
机译:具有多重响应的非线性混合效应模型(NLMEM)越来越多地用于药理学中,主要例子之一是对药物的药代动力学(PK)和药效学(PD)进行联合分析。必须使用高效的工具来进行NLMEM中的设计评估和优化。出于这些目的,建议使用R函数PFIM 1.2和PFIMOPT 1.0,但它们仅适用于单个响应模型。所使用的方法是基于使用模型线性化开发的Fisher信息矩阵的。在本文中,我们提出了扩展版本PFIM 3.0,专用于对多个响应模型进行设计评估和优化,使用的方法与单个响应模型相似。除了处理多个响应模型外,PFIM 3.0还集成了一些功能,用于模型规范和优化。该扩展包括经典的分析药代动力学模型库,并允许用户使用微分方程式描述更复杂的模型。关于优化算法,已经实现了单纯形算法的替代方法Fedorov-Wynn算法,以优化更实用的D最优设计。实际上,该算法可在用户指定的一组采样时间中优化设计。可从http://www.pfim.biostat.fr免费获得此R函数。用口服抗凝剂华法林联合PKPD分析的一个真实例子说明了这种方法的效率和PFIM 3.0的使用简便性,该模型具有由常微分方程式定义的模型。

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