The promise of dawn: Microalgae photoacclimation as an optimal control problem of resource allocation

Autor: Francis Mairet, Térence Bayen
Přispěvatelé: Institut Français de Recherche pour l'Exploitation de la Mer - Atlantique (IFREMER Atlantique), Institut Français de Recherche pour l'Exploitation de la Mer (IFREMER), EA2151 Laboratoire de Mathématiques d'Avignon (LMA), Avignon Université (AU), Bayen, Térence
Rok vydání: 2020
Předmět:
0301 basic medicine
Statistics and Probability
Mathematical optimization
Optimization problem
Light
Time horizon
General Biochemistry
Genetics and Molecular Biology
Resource Allocation
03 medical and health sciences
0302 clinical medicine
Microalgal growth model
Anticipa- tory behavior
Microalgae
Photosynthesis
Mathematics
Turnpike
Steady state
Anticipatory behavior
General Immunology and Microbiology
Applied Mathematics
[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]
Photosynthetic apparatus
General Medicine
Optimal control
Photosynthetic capacity
Light intensity
030104 developmental biology
Modeling and Simulation
Bi-level optimization
Trajectory
Resource allocation
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
General Agricultural and Biological Sciences
030217 neurology & neurosurgery
Zdroj: Journal Of Theoretical Biology (0022-5193) (Elsevier BV), 2021-04, Vol. 515, P. 110597 (12p.)
Journal of Theoretical Biology
Journal of Theoretical Biology, Elsevier, 2021, 515
ISSN: 1095-8541
0022-5193
Popis: International audience; Photosynthetic microorganisms are known to adjust their photosynthetic capacity according to light intensity. This so-called photoacclimation process may correspond at equilibrium to the optimal behavior in order to maximize growth. But its dynamics under varying condition remains less understood. To tackle this problem, we propose here a resource allocation model, at coarse-grained, to represent microalgae growth and photoacclimation. Using the Pontryagin maximum principle and numerical simulations, we determine the optimal strategy of resource allocation in order to optimize microalgal growth rate over a time horizon. We show that, after a transient, the optimal trajectory approaches the optimal steady state, a behavior known as the turnpike property. Then, the model is fitted with experimental data, resulting in a bi-level optimization problem which is solved numerically. The fitted trajectory represents well a Dunaliella tertiolecta culture facing a light down-shift. Finally, we compute the optimal trajectory under day/night cycle and show that the synthesis of the photosynthetic apparatus starts a few hours before dawn. This anticipatory behavior has actually been observed both in the laboratory and in the field. This shows the algal predictive capacity and the interest of our method which predicts this phenomenon.
Databáze: OpenAIRE
Externí odkaz: