Result: A trust-region-approach for solving a parameter estimation problem from the biotechnology area
Title:
A trust-region-approach for solving a parameter estimation problem from the biotechnology area
Source:
Applied and computational mathematics: selected papers of the fourth PanAmerican Workshop, 1-5 July, 2002, Cordoba, ArgentinaApplied numerical mathematics. 47(3-4):281-294
Publisher Information:
Amsterdam: Elsevier, 2003.
Publication Year:
2003
Physical Description:
print, 24 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Généralités, General topics, Approximation numérique, Numerical approximation, 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, Sciences biologiques et medicales, Biological and medical sciences, Sciences biologiques fondamentales et appliquees. Psychologie, Fundamental and applied biological sciences. Psychology, Generalites, General aspects, Mathématiques biologiques. Statistiques. Modèles. Métrologie. Informatique en biologie (généralités), Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects), Biotechnologie, Biotechnology, Biotecnología, Calcul scientifique, Scientific computation, Computación científica, Convergence méthode numérique, Convergence of numerical methods, Equation algébrique, Algebraic equation, Ecuación algebraica, Equation différentielle, Differential equation, Ecuación diferencial, Estimation paramètre, Parameter estimation, Estimación parámetro, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Modèle simulation, Simulation model, Modelo simulación, Multiplication microorganisme, Microorganism growth, Multiplicación microorganismo, Problème moindre carré, Least squares problem, Problema minimos cuadrados, Problème non linéaire, Nonlinear problems, Modèle adaptif, Adaptive model, Méthode fermentation, Fermentation method, Région confiance, Trust region
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Southern National University, Avenida Alem 1253, 8000 Bahia Blanca, Argentina
ISSN:
0168-9274
Rights:
Copyright 2004 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
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:
Biological sciences. Generalities. Modelling. Methods
Generalities in biological sciences
Mathematics
Generalities in biological sciences
Mathematics
Accession Number:
edscal.15275156
Database:
PASCAL Archive
Further Information
Growth kinetics of microorganisms processes involves a parameter estimation problem, which is usually solved by using simulation techniques. A different approach is presented. It is based on a trust-region algorithm for nonlinear least squares problems with bound constraints. The global convergence properties of the algorithm are analyzed in the theory proposed by Verdiell. An important aspect of the algorithm is that first and second order information of the objective function can be approximated what is advantageous for the class of pointwise known functions. This feature makes the algorithm suitable to solve real-world problems. Encouraging preliminary results are presented.