Skip to Main content Skip to Navigation
Conference papers

Design of Optimal Experiments for Parameter Estimation of Microalgae Growth Models

Rafael Munoz Tamayo 1 Pierre Martinon 2, 3 Gaël Bougaran 4 Francis Mairet 1 Olivier Bernard 1 
1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
3 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
4 PBA - Physiologie et biotechnologie des Algues
BRM - Biotechnologies et Ressources Marines
Abstract : Mathematical models are expected to play a pivotal role for driving microalgal production towards a profitable process of renewable energy generation. To render models of microalgae growth useful tools for prediction and process optimization, reliable parameters need to be provided. This reliability implies a careful design of experiments that can be exploited for parameter estimation. In this paper, we provide guidelines for the design of experiments with high informative content that allows an accurate parameter estimation. We study a real experimental device devoted to evaluate the effect of temperature and light on microalgae growth. On the basis of a mathematical model of the experimental system, the optimal experiment design problem was solved as an optimal control problem. E-optimal experiments were obtained by using two discretization approaches namely sequential and simultaneous. The results showed that an adequate parameterization of the experimental inputs provided optimal solutions very close to those provided by the simultaneous discretization. Simulation results showed the relevance of determining optimal experimental inputs for achieving an accurate parameter estimation.
Complete list of metadata

Cited literature [21 references]  Display  Hide  Download
Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Monday, September 2, 2013 - 2:12:53 PM
Last modification on : Saturday, June 25, 2022 - 11:11:00 PM
Long-term archiving on: : Tuesday, December 3, 2013 - 5:20:11 AM


Files produced by the author(s)


  • HAL Id : hal-00856749, version 1
  • PRODINRA : 281445


Rafael Munoz Tamayo, Pierre Martinon, Gaël Bougaran, Francis Mairet, Olivier Bernard. Design of Optimal Experiments for Parameter Estimation of Microalgae Growth Models. International Symposium on Computer Applications to Biotechnology (CAB 2013), Dec 2013, Mumbai, India. ⟨hal-00856749⟩



Record views


Files downloads