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

In: Advances in Growth Curve and Structural Equation Modeling

Author

Listed:
  • Manisha Pal

    (University of Calcutta, Department of Statistics)

  • Nripes K. Mandal

    (University of Calcutta, Department of Statistics)

  • Bikas K. Sinha

    (Indian Statistical Institute)

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.

Suggested Citation

  • Manisha Pal & Nripes K. Mandal & Bikas K. Sinha, 2018. "Optimum Designs for Pharmaceutical Experiments with Relational Constraints on the Mixing Components," Springer Books, in: Ratan Dasgupta (ed.), Advances in Growth Curve and Structural Equation Modeling, pages 45-57, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-1843-6_3
    DOI: 10.1007/978-981-13-1843-6_3
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