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Soft Computing
Published in: Soft Computing 5/2011

01-05-2011 | Original Paper

An approach to parameters estimation of a chromatography model using a clustering genetic algorithm based inverse model

Authors: Mirtha Irizar Mesa, Orestes Llanes-Santiago, Francisco Herrera Fernández, David Curbelo Rodríguez, Antônio José Da Silva Neto, Leôncio Diógenes T. Câmara

Published in: Soft Computing | Issue 5/2011

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Abstract

Genetic algorithms are tools for searching in complex spaces and they have been used successfully in the system identification solution that is an inverse problem. Chromatography models are represented by systems of partial differential equations with non-linear parameters which are, in general, difficult to estimate many times. In this work a genetic algorithm is used to solve the inverse problem of parameters estimation in a model of protein adsorption by batch chromatography process. Each population individual represents a supposed condition to the direct solution of the partial differential equation system, so the computation of the fitness can be time consuming if the population is large. To avoid this difficulty, the implemented genetic algorithm divides the population into clusters, whose representatives are evaluated, while the fitness of the remaining individuals is calculated in function of their distances from the representatives. Simulation and practical studies illustrate the computational time saving of the proposed genetic algorithm and show that it is an effective solution method for this type of application.
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Metadata
Title
An approach to parameters estimation of a chromatography model using a clustering genetic algorithm based inverse model
Authors
Mirtha Irizar Mesa
Orestes Llanes-Santiago
Francisco Herrera Fernández
David Curbelo Rodríguez
Antônio José Da Silva Neto
Leôncio Diógenes T. Câmara
Publication date
01-05-2011
Publisher
Springer-Verlag
Published in
Soft Computing / Issue 5/2011
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-010-0638-3

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