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We address the question of optimization of the biomass long term productivity in the framework of microalgal biomass production in photobioreactors under the influence of day/night cycles. For that, we propose a simple bioreactor model…

Optimization and Control · Mathematics 2010-09-14 Frédéric Grognard , Andrei R. Akhmetzhanov , Masci Pierre , Olivier Bernard

The potential of industrial applications for microalgae has motivated their recent fast development. Their growth dynamics depends on different factors that must be optimized. Since they get their energy from photosynthesis, light is a key…

Numerical Analysis · Mathematics 2021-08-24 Olivier Bernard , Liu-Di Lu

Dynamic flux balance analysis of a bioreactor is based on the coupling between a dynamic problem, which models the evolution of biomass, feeding substrates and metabolites, and a linear program, which encodes the metabolic activity inside…

Optimization and Control · Mathematics 2015-07-07 Roberta Ghezzi , Benedetto Piccoli

We investigate optimization of an algal-bacterial consortium, where an exogenous control input modulates bacterial resource allocation between growth and synthesis of a resource that is limiting for algal growth. Maximization of algal…

Optimization and Control · Mathematics 2024-10-14 Rand Asswad , Walid Djema , Olivier Bernard , Jean-Luc Gouzé , Eugenio Cinquemani

Microalgae are an important source of precursors (e.g. lipids) for a variety of biosynthetic processes (e.g. biofuel production). Their co-culturing with other organisms providing essential substrates for growth may reduce cost and provide…

Optimization and Control · Mathematics 2025-09-04 Rand Asswad , Jean-Luc Gouzé , Eugenio Cinquemani

This paper establishes and discusses the consistency and the range of applicability of a simple, but general and predictive analytical formula, enabling to easily assess the maximum volumetric biomass growth rates (the productivities) in…

Other Quantitative Biology · Quantitative Biology 2020-11-11 Jean-François Cornet , Claude-Gilles Dussap

We develop an optimal control model for allocating agricultural crop residues between bioenergy production and soil fertility restoration. The system captures a novel circular feedback: a fraction of cumulative energy output is reinvested…

Optimization and Control · Mathematics 2025-11-14 Othman Cherkaoui Dekkaki

We study an optimal control problem arising from a resource allocation problem in cellular metabolism. A minimalistic model that describes the production of enzymatic vs. non-enzymatic biomass components from a single nutrient source is…

Optimization and Control · Mathematics 2017-04-10 Steffen Waldherr , Henning Lindhorst

Controlling microalgae cultivation, i.e., a crucial industrial topic today, is a challenging task since the corresponding modeling is complex, highly uncertain and time-varying. A model-free control setting is therefore introduced in order…

Systems and Control · Computer Science 2021-01-25 Sihem Tebbani , Mariana Titica , Cédric Join , Michel Fliess , Didier Dumur

The industrial production of microalgae is an important and sustainable process, but its actual competitiveness is closely related to its optimization. The biological nature of the process hinders this task, mainly due to the high…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Pablo Otálora , Sigurd Skogestad , José Luis Guzmán , Manuel Berenguel

This article examines the optimal design and ideal kinetic performances of volumetrically-lightened photobioreactors (PBR). From knowledge models developed for several years by the author, simple theoretical rules are established at first…

Applied Physics · Physics 2020-11-10 Jean-François Cornet

A dynamical system entrains to a periodic input if its state converges globally to an attractor with the same period. In particular, for a constant input the state converges to a unique equilibrium point for any initial condition. We…

Optimization and Control · Mathematics 2020-06-30 M. Ali Al-Radhawi , Michael Margaliot , Eduardo Sontag

We revisit the optimal control problem of maximizing biogas production in continuous bio-processes in two directions: 1. over an infinite horizon, 2. with sub-optimal controllers independent of the time horizon. For the first point, we…

Optimization and Control · Mathematics 2019-06-10 Antoine Haddon , Hector Ramirez , Alain Rapaport

This paper focuses on mixing strategies to enhance the growth of microalgae in a raceway pond. The flow is assumed to be laminar and the Han model describing the dynamics of the photosystems is used as a basis to determine growth rate as a…

Optimization and Control · Mathematics 2020-10-22 Olivier Bernard , Liudi Lu , Julien Salomon

We study minimal time strategies for the treatment of pollution of large volumes, such as lakes or natural reservoirs, with the help of an autonomous bioreactor. The control consists in feeding the bioreactor from the resource, the clean…

Optimization and Control · Mathematics 2011-05-26 Pedro Gajardo , Jérôme Harmand , Hector Ramirez Cabrera , Alain Rapaport

Resource Balance Analysis (RBA) is a framework for predicting steady-state cellular growth under resource constraints. However, classical RBA formulations are static and do not capture the dynamic regulation of biosynthetic resources or…

Optimization and Control · Mathematics 2026-01-21 Saeed Sadeghi Arjmand

In this work we present a novel methodology to deal with the optimal performance of raceways (open-channel ponds where the circulating wastewater, during its purification process, is used to grow algae that will be used as a source for the…

Optimization and Control · Mathematics 2024-12-02 L. J. Alvarez-Vazquez , A. Martinez , M. E. Vazquez-Mendez

We present experimental results demonstrating that, relative to continuous illumination, an increase of a factor of 3-10 in the photon efficiency of algal photo-synthesis is attainable via the judicious application of pulsed light for light…

Microorganismal motility is often characterised by complex responses to environmental physico-chemical stimuli. Although the biological basis of these responses is often not well understood, their exploitation already promises novel avenues…

Biological Physics · Physics 2019-11-26 Jorge Arrieta , Marco Polin , Ramón Saleta-Piersanti , Idan Tuval

We analyze a bioeconomic model for optimal fishery harvesting in a spatially heterogeneous habitat comprising both harvestable and preservation (reserve) zones. The population dynamics are governed by a hybrid system coupling continuous…

Dynamical Systems · Mathematics 2026-01-29 Dinesh Kumar
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