14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper FrA6.1

Doeswijk, Timo (Wageningen Univ.), Keesman, Karel (Wageningen Univ.)

Parameter Estimation and Prediction of Nonlinear Biological Systems: Some Examples

Scheduled for presentation during the Regular Session "Identification in Biological Systems" (FrA6), Friday, March 31, 2006, 10:30−10:50, Newcastle Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on September 24, 2018

Keywords Biological Systems, Nonlinear System Identification, Errors in Variables Identification

Abstract

Rearranging and reparameterizing a discrete-time nonlinear model with polynomial quotient structure in input, output and parameters (xk=f(Z,p)) leads to a model linear in its (new) parameters. As a result, the parameter estimation problem becomes a so-called errors-in-variables problem for which a total least squares approach provides a natural solution. Retrieving the predictor form after estimation leads to the modified predictor: x=~f(Z,q). The objective of this paper is to evaluate the predictive quality of xk=~f(Z,q) and xk=f(Z,p) with parameters estimated using different least squares methods. The well-known Michaelis-Menten kinetics are used as an illustration with simulated (noisy) data. Finally, an example of a storage facility containing biological products is presented with real experimental data.