Result: Modeling and identification of a nonlinear hybrid dynamical system in batch fermentation of glycerol

Title:
Modeling and identification of a nonlinear hybrid dynamical system in batch fermentation of glycerol
Authors:
JUAN WANG, JIANXIONG YE, ENMIN FENG, HONGCHAO YIN, ZHILONG XIU
Source:
Mathematical and computer modelling. 54(1-2):618-624
Publisher Information:
Kidlington: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Méthodes de calcul scientifique (y compris calcul symbolique, calcul algébrique), Methods of scientific computing (including symbolic computation, algebraic computation), Algorithme, Algorithm, Algoritmo, Analyse assistée, Computer aided analysis, Análisis asistido, Analyse numérique, Numerical analysis, Análisis numérico, Calcul variationnel, Variational calculus, Cálculo de variaciones, Existence solution, Existence of solution, Existencia de solución, Identification système, System identification, Identificación sistema, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle mathématique, Mathematical model, Modelo matemático, Méthode optimisation, Optimization method, Método optimización, Programmation mathématique, Mathematical programming, Programación matemática, Recuit simulé, Simulated annealing, Recocido simulado, Système dynamique, Dynamical system, Sistema dinámico, Système non linéaire, Non linear system, Sistema no lineal, 37XX, 49XX, 65K10, 65Kxx, Batch culture, Nonlinear hybrid dynamical system, Optimization algorithm, Transport mechanisms
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, China
School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
School of Environmental and Biological Science and Technology, Dalian University of Technofogy, Dalian, Liaoning 116012, China
ISSN:
0895-7177
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=24182348
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24182348
Database:
PASCAL Archive

Further Information

A nonlinear hybrid dynamical system is established to describe the batch culture of glycerol to 1,3-propanediol (1,3-PD) by Klebsiella pneumoniae (K. pneumoniae), in which glycerol is assumed to pass the cell membrane by passive diffusion coupled with facilitated transport and transport mechanism of 1,3-PD is assumed to be uncertain. The existence, uniqueness and continuity of solutions are also discussed. To infer the most reasonable transport mechanism of 1,3-PD, a system identification model consisting of both discrete and continuous variables is proposed. Additionally, we construct a two-phase optimization algorithm on the basis of modified complex method together with very fast simulated annealing technology. Numerical results show that it is most reasonable for 1,3-PD to pass the cell membrane by passive diffusion coupled with facilitated transport and that the optimization algorithm is valid.