IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v46y1998i5p621-629.html
   My bibliography  Save this article

Optimal experimental design for practical identification of unstructured growth models

Author

Listed:
  • Versyck, K.J.
  • Claes, J.E.
  • Van Impe, J.F.

Abstract

In this paper, optimal experimental design for parameter estimation of unstructured microbial growth models during growth of biomass on a single limiting substrate in a fed-batch bioreactor is considered. The ratio of the largest to the smallest eigenvalue of the Fisher information matrix (i.e., the modified E-criterion for optimal experimental design) is used to evaluate the information content of several simulation fed-batch experiments, each with a different volumetric feed rate profile. The construction of optimal feed rate profiles is based on the following Conjecture: A feed rate strategy which is optimal in the sense of process performance, is an excellent starting point for feed rate optimization with respect to estimation of those parameters with a large influence upon process performance. The optimal value of 1 for the modified E-criterion is obtained for several feed rate profiles with different structures, after optimization of their corresponding degrees of freedom with respect to the information content of the experiment. For each profile a criterion evaluating the violation of model validity is calculated.

Suggested Citation

  • Versyck, K.J. & Claes, J.E. & Van Impe, J.F., 1998. "Optimal experimental design for practical identification of unstructured growth models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 46(5), pages 621-629.
    • Handle: RePEc:eee:matcom:v:46:y:1998:i:5:p:621-629
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475498000913
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sahu, Nitesh & Babu, Prabhu, 2021. "A new monotonic algorithm for the E-optimal experiment design problem," Statistics & Probability Letters, Elsevier, vol. 174(C).
    2. Tijskens, L. M. M. & Verdenius, F., 2000. "Summing up dynamics: modelling biological processes in variable temperature scenarios," Agricultural Systems, Elsevier, vol. 66(1), pages 1-15, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:46:y:1998:i:5:p:621-629. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.