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We consider the optimization of a chemical microchannel reactor by means of PDE constrained optimization techniques, using the example of the Sabatier reaction. To model the chemically reacting flow in the microchannels, we introduce a…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , Christian Leithäuser , René Pinnau

We discuss the application of a nonlinear model predictive control (MPC) and a moving horizon estimation (MHE) to achieve an optimal operation of \textit{E. coli} fed-batch cultivations with intermittent bolus feeding. 24 parallel…

Quantitative Methods · Quantitative Biology 2023-02-07 Jong Woo Kim , Niels Krausch , Judit Aizpuru , Tilman Barz , Sergio Lucia , Peter Neubauer , Mariano Nicolas Cruz Bournazou

We investigate a mathematical model for a bacterial population in a continuously stirred tank reactor with wall attachment. The model couples a free-boundary value problem for substrate diffusion in the one-dimensional biofilm with a system…

Analysis of PDEs · Mathematics 2026-03-12 Katerina Nik , Christoph Walker

In this paper, on the basis of the set of simplified model state equations to represent the dynamic features of melt pulling method growth process, we constructed a simulation control system of Matlab Simulink and analyzed control features…

Materials Science · Physics 2014-08-20 Jae Sik Jang , Un Chol Kye , Chol Jun Kang

We introduce a model of the growth of a single microorganism in a self-cycling fermentor in which an arbitrary number of resources are limiting, and impulses are triggered when the concentration of one specific substrate reaches a…

Dynamical Systems · Mathematics 2020-04-28 Tyler Meadows , Gail S. K. Wolkowicz

This paper presents a dynamic optimization numerical case study for Monoclonal Antibody (mAb) production. The fermentation is conducted in a continuous perfusion reactor. We represent the existing model in terms of a general modeling…

Optimization and Control · Mathematics 2023-03-29 Morten Wahlgreen Kaysfeld , Deepak Kumar , Marcus Krogh Nielsen , John Bagterp Jørgensen

A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling fermentor. Potential applications include water purification…

Dynamical Systems · Mathematics 2018-09-10 Ting-Hao Hsu , Tyler Meadows , Lin Wang , Gail S. K. Wolkowicz

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

The variations in feedstock characteristics such as moisture and particle size distribution lead to an inconsistent flow of feedstock from the biomass pre-processing system to the reactor in-feed system. These inconsistencies result in low…

Optimization and Control · Mathematics 2021-03-10 Fikri Kucuksayacigil , Mohammad Roni , Sandra D. Eksioglu , Qiushi Chen

The advantage of Cellular Potts Model (CPM) is due to its ability for introducing cell-cell interaction based on the well known statistical model i.e. the Potts model. On the other hand, Lattice gas Cellular Automata (LGCA) can simulate…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Mehrdad Ghaemi , Amene Shahrokhi

A simplified differential reactor model that embodies the essential physics controlling PEM fuel cell (PEM-FC) dynamics is presented. A remarkable analogy exists between water management in the differential PEM-FC and energy balance in the…

Chaotic Dynamics · Physics 2016-09-08 Ee-Sunn J. Chia , Jay B. Benziger , Ioannis G. Kevrekidis

The optimization of yields in multi-reactor systems, which are advanced tools in heterogeneous catalysis research, presents a significant challenge due to hierarchical technical constraints. To this respect, this work introduces a novel…

Machine Learning · Computer Science 2024-08-06 Markus Grimm , Sébastien Paul , Pierre Chainais

When developing a biotechnological process, the microorganism is first designed, e.g., using metabolic engineering. Then, the optimum fermentation parameters are determined on a laboratory scale, and lastly, they are transferred to the…

Optimization and Control · Mathematics 2025-07-15 Anita L. Ziegler , Marc-Daniel Stumm , Tim Prömper , Thomas Steimann , Jørgen Magnus , Alexander Mitsos

We present a model for a biological reactor in which bacteria tend to aggregate in flocs, as encountered in wastewater treatment plants. The influence of this flocculation on the growth dynamics of the bacteria is studied. We argue that a…

Populations and Evolution · Quantitative Biology 2007-05-23 Bart Haegeman , Claude Lobry , Jerome Harmand

Cells generally convert external nutrient resources to support metabolismand growth. Understanding the thermodynamic efficiency of this conversion is essential to determine the general characteristics of cellular growth. Using a simple…

Subcellular Processes · Quantitative Biology 2015-06-19 Yusuke Himeoka , Kunihiko Kaneko

We present a model for continuous cell culture coupling intra-cellular metabolism to extracellular variables describing the state of the bioreactor, taking into account the growth capacity of the cell and the impact of toxic byproduct…

Molecular Networks · Quantitative Biology 2017-11-21 Jorge Fernandez-de-Cossio-Diaz , Kalet León , Roberto Mulet

Power-to-gas (P2G) can be employed to balance renewable generation because of its feasibility to operate at fluctuating loading power. The fluctuating operation of low-temperature P2G loads can be achieved by controlling the electrolysis…

Applied Physics · Physics 2019-01-09 Xuetao Xing , Jin Lin , Yonghua Song , Qiang Hu

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

Biological systems are promising substrates for computation because they naturally process environmental information through complex internal dynamics. In this study, we investigate whether bacterial metabolic models can act as physical…

Emerging Technologies · Computer Science 2026-04-23 Laura Alonso Bartolomé , Jean-Loup Faulon , Xavier Hinaut

We study an optimal control problem for a stochastic model of tumour growth with drug application. This model consists of three stochastic hyperbolic equations describing the evolution of tumour cells. It also includes two stochastic…

Optimization and Control · Mathematics 2024-08-30 Sakine Esmaili , M. R. Eslahchi , Delfim F. M. Torres
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