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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…

最优化与控制 · 数学 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…

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…

偏微分方程分析 · 数学 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…

材料科学 · 物理学 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…

动力系统 · 数学 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…

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…

动力系统 · 数学 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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 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…

元胞自动机与格子气 · 物理学 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…

混沌动力学 · 物理学 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…

机器学习 · 计算机科学 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…

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…

种群与进化 · 定量生物学 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…

亚细胞过程 · 定量生物学 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…

分子网络 · 定量生物学 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…

应用物理 · 物理学 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…

最优化与控制 · 数学 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…

新兴技术 · 计算机科学 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…

最优化与控制 · 数学 2024-08-30 Sakine Esmaili , M. R. Eslahchi , Delfim F. M. Torres
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