Encyclopedia of Systems Biology

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

Optimal Dynamic Experiments

  • Eva Balsa-Canto
  • Julio R. Banga
Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-9863-7_1220



Dynamic experiments refer to the lab measurements performed under time-varying stimulation conditions. Optimal dynamic experiments are those that have been designed to attend to a given optimality criteria (Walter and Pronzato 1997). The optimal design problem is formulated as a dynamic optimization ( Biochemical Systems Optimization Through Mathematical Programming) problem where the objective is to compute the experimental setup that maximizes (or minimizes) a performance index subject to the system dynamics, mathematical representation (model or models), and the experimental constraints (Balsa-Canto et al. 2010).


Definition: Model Candidates

Model candidates are each of the mathematical structures that encode different hypothesis to describe a given system behavior. Each of the model candidates ( Σ( p) i) may be formulated as:
$$ \Sigma {({\bf{p}})^i}:\left\{ {\eqalign{ & {{\dot {\bf x}}^i} =...
This is a preview of subscription content, log in to check access.


  1. Balsa-Canto E, Alonso AA, Banga JR (2010) An iterative identification procedure for dynamic modeling of biochemical networks. BMC Syst Biol 4:11PubMedGoogle Scholar
  2. Horst R, Pardalos PM (1995) Handbook of global optimization. Kluwer, DordrechtGoogle Scholar
  3. Lipniacki T, Paszek P, Brasier A, Luxon B, Kimmel M (2004) Mathematical model of NFκB regulatory module. J Theor Biol 228:195–215PubMedGoogle Scholar
  4. Talbi E-G (2009) Metaheuristics: from design to implementation. Wiley, HobokenGoogle Scholar
  5. Walter E, Pronzato L (1997) Identification of parametric models from experimental data. Springer, MassonGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  1. 1.Ministerio de Economía y CompetitividadBioprocess Engineering group, IIM-CSICVigoSpain