FN Archimer Export Format
PT J
TI Parameter Estimation for Dynamic Resource Allocation in Microorganisms: A Bi-level Optimization Problem
BT 
AF Mairet, Francis
   Bayen, Térence
AS 1:1;2:2;
FF 1:PDG-RBE-BRM-LPBA;2:;
C1 Ifremer, Physiology and Biotechnology of Algae laboratory, rue de l’Ile d’Yeu, 44311 Nantes, France
   Avignon Université, Laboratoire de Mathématiques d’ Avignon (EA2151) F-84018 ,France
C2 IFREMER, FRANCE
   UNIV AVIGNON, FRANCE
SI NANTES
SE PDG-RBE-BRM-LPBA
IN WOS Ifremer UPR
   copubli-france
   copubli-univ-france
TC 0
UR https://archimer.ifremer.fr/doc/00690/80163/83228.pdf
LA English
DT Article
DE ;Bi-level optimization;Optimal control;Pontryagin's principle;Chattering;Microbial growth;Microalgae
AB Given their key roles in almost all ecosystems and in several industries, understanding and predicting microorganism growth is of utmost importance. In compliance with evolutionary principles, coarse-grained or genome-scale models of microbial growth can be used to determine optimal resource allocation scheme under dynamic environmental conditions. Resource allocation approaches have given important qualitative results, but it still remains a gap towards quantitiative predictions. The first step in this direction is parameter calibration with experimental data. But fitting these models results in a bi-level optimization problem, whose numerical resolution involves complex optimization issues. As a case study, we present here a coarse-grained model describing how microalgae acclimate to a change in light intensity. We first determine using the Pontryagin maximum principle and numerical simulations the optimal strategy, corresponding to a turnpike with a chattering arc. Then, a bi-level optimization problem is proposed to calibrate the model with experimental data. To solve it, a classical parameter identification routine is used, calling at each iteration the bocop solver to solve the optimal control problem (by a direct method). The calibrated model is able to represent the photoacclimation dynamics of the microalga Dunaliella tertiolecta facing a down-shift of light intensity. 
PY 2020
SO Ifac Papersonline
SN 2405-8963
PU Elsevier BV
VL 53
IS 2
UT 000652593600571
BP 16814
EP 16819
DI 10.1016/j.ifacol.2020.12.1163
ID 80163
ER

EF