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Optimal Design in Population Kinetic Experiments by Set-Valued Methods
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics. (CAPA)
Uppsala University, Disciplinary Domain of Medicine and Pharmacy, Faculty of Pharmacy, Department of Pharmaceutical Biosciences.
Uppsala University, Disciplinary Domain of Medicine and Pharmacy, Faculty of Pharmacy, Department of Pharmaceutical Biosciences. (Pharmacometrics Research Group,)
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2011 (English)In: AAPS Journal, ISSN 1550-7416, E-ISSN 1550-7416, Vol. 13, no 4, 495-507 p.Article in journal (Refereed) Published
Abstract [en]

We propose a new method for optimal experimental design of population pharmacometric experiments based on global search methods using interval analysis; all variables and parameters are represented as intervals rather than real numbers. The evaluation of a specific design is based on multiple simulations and parameter estimations. The method requires no prior point estimates for the parameters, since the parameters can incorporate any level of uncertainty. In this respect, it is similar to robust optimal design. Representing sampling times and covariates like doses by intervals gives a direct way of optimizing with rigorous sampling and dose intervals that can be useful in clinical practice. Furthermore, the method works on underdetermined problems for which traditional methods typically fail.

Place, publisher, year, edition, pages
2011. Vol. 13, no 4, 495-507 p.
Keyword [en]
interval analysis, optimal experimental design, set-values methods
National Category
Computational Mathematics Pharmaceutical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-160893DOI: 10.1208/s12248-011-9291-8ISI: 000297358100001OAI: oai:DiVA.org:uu-160893DiVA: diva2:453462
Available from: 2011-11-02 Created: 2011-11-02 Last updated: 2017-12-08Bibliographically approved

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Danis, AlexanderNyberg, JoakimHooker, Andrew C.Tucker, Warwick

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