Encyclopedia of Systems Biology

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

Optimal Experiment Design, Fisher Information

  • Clemens Kreutz
  • Jens Timmer
Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-9863-7_1222

Definition

The Fisher information is a measure for the amount of information about parameters provided by experimental data (Fisher 1912). It is a well-established characteristic of an  experimental design used to assess and optimize the design for maximizing the expected accuracy of parameter estimates (Kreutz 2009). The Fisher information is calculated for each pair of parameters and is in this notation denoted as the Fisher information matrix.

In the following, the Fisher information is introduced in some commonly used notations. Some calculations require additional assumptions in a strict mathematical derivation. Because the assumptions are usually fulfilled for models applied in systems biology, these restrictions are not stated explicitly.

Because the log-likelihood \( LL\left( {y|\theta } \right) \)
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References

  1. Atkinson AC (1982) Developments in the design of experiments. Int Stat Rev 50(2):161–177Google Scholar
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  3. Fisher RA (1912) On an absolute criterion in systems of nonlinear equations. Messenger Math 41:155–160Google Scholar
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  6. Kreutz C, Timmer J (2009) Systems biology: experimental design. FEBS J 276:923–942PubMedGoogle Scholar
  7. Raue A, Kreutz C, Maiwald T, Bachmann J, Schilling M, Klingmüller U, Timmer J (2009) Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood. Bioinformatics 25(15):1923–1929PubMedGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  1. 1.Institute for Physics, Freiburger Center for Data Analysis and Modeling (FDM)University of FreiburgFreiburgGermany
  2. 2.Institute for PhysicsUniversity of FreiburgFreiburgGermany
  3. 3.BIOSS Centre for Biological Signalling Studies and Freiburg Institute for Advanced Studies (FRIAS)FreiburgGermany
  4. 4.Department of Clinical and Experimental MedicineLinköping UniversityLinköpingSweden