DocumentCode
2821953
Title
Canonical piecewise-linear approximation of nonlinear cellular growth
Author
Mojica, Eduardo ; Gauthier, Alain ; Rakoto-Ravalontsalama, Naly
Author_Institution
Ecole des Mines de Nantes, Nantes
fYear
2007
fDate
12-14 Dec. 2007
Firstpage
1640
Lastpage
1645
Abstract
In this paper we develop and improve some piecewise-linear approximations of nonlinear cellular growth using orthonormal canonical piecewise linear functions. The work is with the mammalian cells BHK (baby hamster kidney) in bioreactor in batch and continuous mode operation. Preliminary results based on experimental validation show that this piecewise linear approximation is well suited for modeling such nonlinear dynamics.
Keywords
approximation theory; bioreactors; nonlinear dynamical systems; piecewise linear techniques; baby hamster kidney; bioreactor; canonical piecewise-linear approximation; continuous mode operation; mammalian cells; nonlinear cellular growth; nonlinear dynamics; orthonormal functions; Biological system modeling; Biological systems; Bioreactors; Mathematical model; Nonlinear dynamical systems; Pediatrics; Piecewise linear approximation; Piecewise linear techniques; Sugar; USA Councils; Bioreactor; nonlinear dynamics; piecewise-linear (PWL) models;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2007 46th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
978-1-4244-1497-0
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2007.4434461
Filename
4434461
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