Encyclopedia of Systems Biology

2013 Edition
| Editors: Werner Dubitzky, Olaf Wolkenhauer, Kwang-Hyun Cho, Hiroki Yokota

Optimal Experiment Design, Multimodality

  • Maria Rodriguez-Fernandez
  • Francis J. DoyleIII
Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-9863-7_1224

Synonyms

Definition

Mathematical models of complex biological systems are typically represented in the form of nonlinear ordinary differential equations. This raises three important problems for optimal experimental design based on the Fisher information matrix (FIM) ( Optimal Experiment Design, Fisher Information). The first is that, due to the linear nature of the FIM, it may be a poor measure of the size of the uncertainty region. The second is that this matrix depends on the value assumed for the parameters in the case of nonlinear models. And the third, that applies to any  optimal experimental design, either for accurate estimation of the parameters ( Designing Experiments for Sound Statistical Inference), model discrimination ( Optimal Experimental Design, Model Discrimination), or maximization of a model response, is that the resultant nonlinear optimization problem is generally nonconvex. Therefore, optimal experimental design for nonlinear models...

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References

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Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Maria Rodriguez-Fernandez
    • 1
  • Francis J. DoyleIII
    • 1
  1. 1.Department of Chemical EngineeringInstitute for Collaborative Biotechnologies, University of CaliforniaSanta BarbaraUSA