About frame identification of growth functions and robust prediction in bioprocess modeling

Emna Krichen (1, 2) , Alain Rapaport (1) , E. Fouilland (2)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
2 UMR MARBEC - MARine Biodiversity Exploitation and Conservation

We address the problem of determining functional framing of experimental data points in view of robust time-varying predictions, which is of crucial importance in bioprocess monitoring. We propose a method that provides guaranteed functional bounds, instead of sets of parameters values of Monod or Haldane growth functions commonly used in bioprocess modeling. We illustrate the applicability of the method with bioreactor simulations in batch and continuous mode. We also present two extensions of the method adding flexibility in its application, and discuss its efficiency in providing guaranteed state estimations.

Mots clés: estimation; intervals; frame; robust prediction

Domaines: Modélisation et simulation; Systèmes dynamiques [math.DS]; Biotechnologie

Emna Krichen, Alain Rapaport, E. Fouilland. About frame identification of growth functions and robust prediction in bioprocess modeling. 2019. ⟨hal-02095933v1⟩