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Gradient-based optimization of a rotating algal biofilm process

Pierre-Olivier Lamare 1 Nina Aguillon 2 Jacques Sainte-Marie 1 Jérôme Grenier 3 Hubert Bonnefond 4 Olivier Bernard 4 
1 ANGE - Numerical Analysis, Geophysics and Ecology
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
4 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, LOV - Laboratoire d'océanographie de Villefranche
Abstract : Microalgae are microorganisms which have been only recently used for biotechnological applications, especially in the perspective of biofuel production. Here we focus on the shape optimization and optimal control of an innovative process where the microalgae are fixed on a support. They are thus successively exposed to light and dark conditions. The resulting growth can be represented by a dynamical system describing the denaturation of key proteins due to an excess of light. A Partial Differential Equations (PDE) model of the Rotating Algal Biofilm (RAB) is then proposed, representing local microalgal growth submitted to the time varying light. An adjoint-based gradient method is proposed to identify the optimal (constant) process folding and the (time varying) velocity of the biofilm. When applied to a realistic case, the optimization points out a particular configuration which significantly increases the productivity compared to a base case where the biofilm is fixed.
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Submitted on : Wednesday, January 23, 2019 - 5:38:07 PM
Last modification on : Tuesday, June 14, 2022 - 10:39:41 AM
Long-term archiving on: : Wednesday, April 24, 2019 - 12:44:02 PM


  • HAL Id : hal-01990002, version 1


Pierre-Olivier Lamare, Nina Aguillon, Jacques Sainte-Marie, Jérôme Grenier, Hubert Bonnefond, et al.. Gradient-based optimization of a rotating algal biofilm process. [Research Report] RR-9250, Inria - Sophia antipolis. 2019. ⟨hal-01990002⟩



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