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
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;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434461
