Modeling and parameter identification involving 3-hydroxypropionaldehyde inhibitory effects in glycerol continuous fermentation
type: Item
instance of: scholarly article
title: Modeling and parameter identification involving 3-hydroxypropionaldehyde inhibitory effects in glycerol continuous fermentation
zbMATH Open document ID: 1264.93046
DOI: 10.1155/2012/690587
author: Zhaohua Gong
author: Chongyang Liu
author: Yongsheng Yu
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Mathematical modeling and parameter estimation are critical steps in the optimization of biotechnological processes. In the 1,3-propanediol (1,3-PD) production by glycerol fermentation process under anaerobic conditions, 3-hydroxypropionaldehyde (3-HPA) accumulation would arouse an irreversible cessation of the fermentation process. Considering 3-HPA inhibitions to cells growth and to activities of enzymes, we propose a novel mathematical model to describe glycerol continuous cultures. Some properties of the above model are discussed. On the basis of the concentrations of extracellular substances, a parameter identification model is established to determine the kinetic parameters in the presented system. Through the penalty function technique combined with an extension of the state space method, an improved genetic algorithm is then constructed to solve the parameter identification model. An illustrative numerical example shows the appropriateness of the proposed model and the validity of optimization algorithm. Since it is difficult to measure the concentrations of intracellular substances, a quantitative robustness analysis method is given to infer whether the model is plausible for the intracellular substances. Numerical results show that the proposed model is of good robustness.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 92C99
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 6173485
Wikidata QID: Q58911582
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/690587
OpenAlex ID: W2171396982
cites work: A multistage system of microbial fed-batch fermentation and its parameter identification
cites work: Modelling and optimization for a switched system in microbial fed-batch culture
cites work: Modeling and optimal control of a nonlinear dynamical system in microbial fed-batch fermentation
cites work: Optimal switching control of a fed-batch fermentation process
cites work: Q3937666
cites work: Parameter identification and optimization algorithm in microbial continuous culture
cites work: Solving Ordinary Differential Equations I
description: scientific article; zbMATH DE number 6173485