Optimum Designs for Pharmaceutical Experiments with Relational Constraints on the Mixing Components

Manisha Pal, Nripes K. Mandal and Bikas K. Sinha ()
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Manisha Pal: University of Calcutta, Department of Statistics
Nripes K. Mandal: University of Calcutta, Department of Statistics
Bikas K. Sinha: Indian Statistical Institute

A chapter in Advances in Growth Curve and Structural Equation Modeling, 2018, pp 45-57 from Springer

Abstract: Abstract In pharmaceutical experiments, the rate of dissolution of a tablet is modeled in terms of the proportions of polymers and diluents used in the tablet. When more than one type of polymer and diluent are used, the total proportions of polymers and diluents in the tablet are generally subject to relational constraints, which give a range of acceptable values for each proportion. This paper considers two models for the mean dissolution rate subject to relational constraints on the polymers and diluents and attempts to find optimum designs for estimating the parameters in the models using the D-optimality criterion.

Keywords: Pharmaceutical experiment; Relational constraint; Major and minor components; D-optimality; 62K99; 62J05 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-1843-6_3

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DOI: 10.1007/978-981-13-1843-6_3

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