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We present a coupled model describing growth of microalgae in a raceway cultivation process, accounting for hydrodynamics. Our approach combines a biological model (based on the Han model) and shallow water dynamics equations that model the…

Optimization and Control · Mathematics 2020-11-10 Olivier Bernard , Liudi Lu , Jacques Marie , Julien Salomon

This paper focuses on mixing strategies and designing shape of the bottom topographies to enhance the growth of the microalgae in raceway ponds. A physical-biological coupled model is used to describe the growth of the algae. A simple model…

Numerical Analysis · Mathematics 2020-11-24 Olivier Bernard , Liu-Di Lu , Julien Salomon

Modelling the evolution process for the growth of microalgae in an artificial pond is a huge challenge, given the complex interaction between hydrodynamics and biological processes occurring across various timescales. In this paper, we…

Numerical Analysis · Mathematics 2025-12-02 Olivier Bernard , Liu-Di Lu , Jacques Sainte-Marie , Julien Salomon

In this article, we focus on a periodic resource allocation problem applied to a dynamical system which comes from a biological system. More precisely, we consider a system with $N$ resources and $N$ activities, each activity use the…

Numerical Analysis · Mathematics 2022-06-01 Olivier Bernard , Liu-Di Lu , Julien Salomon

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

Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produce biofuel. The complexity of this process coupling non linear biological activity to hydrodynamics makes the optimization…

Numerical Analysis · Mathematics 2012-09-05 Olivier Bernard , Anne-Celine Boulanger , Marie-Odile Bristeau , Jacques Sainte-Marie

This paper presents a benchmarking framework to evaluate process control strategies in outdoor microalgae raceway reactors, integrating four key control regulation tasks: pH, dissolved oxygen (DO), culture volume through coordinated…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Enrique Rodríguez-Miranda , Pablo Otálora , José González-Hernández , José Luis Guzmán , Manuel Berenguel

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

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

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

Optimization and Control · Mathematics 2012-04-16 Frédéric Grognard , Andrei R. Akhmetzhanov , Olivier Bernard

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

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…

The design of strategies to generate efficient mixing is crucial for a variety of applications, particularly digital microfluidic devices that use small "discrete" fluid volumes (droplets) as fluid carriers and microreactors. In recent…

Chaotic Dynamics · Physics 2008-09-03 R. Chabreyrie , D. Vainchtein , C. Chandre , P. Singh , N. Aubry

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

Understanding how microorganisms navigate in complex environments is a central question in active matter and biological physics. Phototaxis - the ability to use light as a navigation cue - is a widespread strategy in motile microalgae to…

A method to reduce the transit time of majority of carriers in photomixers and photo detectors to $< 1$ ps is proposed. Enhanced optical fields associated with surface plasmon polaritons, coupled with velocity overshoot phenomenon results…

Optics · Physics 2015-06-26 Subrahmanyam Pilla

We present a density based topology optimization approach for the design of metallic microwave insert filters. A two-phase optimization procedure is proposed in which we, starting from a uniform design, first optimize to obtain a set of…

Classical Physics · Physics 2016-09-09 Niels Aage , Villads Egede Johansen

This paper discusses an optimization method called Modified Bee Colony algorithm (MBC) based on a particular intelligent behavior of honeybee swarms. The algorithm was checked in a few benchmarks like Shekel, Rozenbroke, Himmelblau and…

Computational Engineering, Finance, and Science · Computer Science 2020-03-06 Vasiliy V. Grigoriev , Oleg Iliev , Petr N. Vabishchevich

The transport of bio-particles in viscous flows exhibits a rich variety of dynamical behaviour, such as morphological transitions, complex orientation dynamics or deformations. Characterising such complex behaviour under well controlled…

Using an analytical model, we study the evolution of subhalo, including its mass, angular momentum and merging time-scale. This model considers the dominant processes governing subhalo evolution, such as dynamical friction, tidal stripping…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 JianLing Gan , Xi Kang , Frank C. van den Bosch , JinLiang Hou
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