Skip to main content

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

  • Chapter
  • First Online:
Advances in Growth Curve and Structural Equation Modeling

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Lewis, G. A., Mathieu, D., & Phan-Tan-Luu, R. (2010). Pharmaceutical experimental design. London, UK: Informa Healthcare.

    Google Scholar 

  • Pal, M., & Mandal, N. K. (2013). Optimum designs for mixtures with relational constraints on the components. International Journal of Experimental Design and Process Optimization, 3(3), 276–293.

    Article  Google Scholar 

  • Pukelsheim, F. (2006). Optimal design of experiments (Classics in Applied Mathematics). SIAM.

    Google Scholar 

  • Scheffé, H. (1958). Experiments with mixtures. Journal of the Royal Statistical Society B, 20, 344–360.

    Google Scholar 

  • Sinha, B. K., Mandal, N. K., Pal, M., & Das, P. (2014). Optimal mixture experiments. Lecture Notes in Statistics 1028. Springer.

    Google Scholar 

Download references

Acknowledgements

The authors thank the anonymous referee for a number of fruitful suggestions, which improved the presentation of our ideas in the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bikas K. Sinha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Pal, M., Mandal, N.K., Sinha, B.K. (2018). Optimum Designs for Pharmaceutical Experiments with Relational Constraints on the Mixing Components. In: Dasgupta, R. (eds) Advances in Growth Curve and Structural Equation Modeling. Springer, Singapore. https://doi.org/10.1007/978-981-13-1843-6_3

Download citation

Publish with us

Policies and ethics