Parameter estimation and prediction of nonlinear biological systems: some examples

T.G. Doeswijk, K.J. Keesman

Research output: Chapter in Book/Report/Conference proceedingConference paper

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, ¿¿). The objective of this paper is to evaluate the predictive quality of ¿xk = ¿ f(Z, ¿¿) 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. IFAC 2006
Original languageEnglish
Title of host publication14th IFAC Symposium on System Identification, Newcastle, March 29-31, 2006 Australia, 2006
Pagesnp
Publication statusPublished - 2006
Event14th IFAC Symposium on System Identification, Newcastle, Australia, 2006 -
Duration: 29 Mar 200631 Mar 2006

Conference

Conference14th IFAC Symposium on System Identification, Newcastle, Australia, 2006
Period29/03/0631/03/06

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    Doeswijk, T. G., & Keesman, K. J. (2006). Parameter estimation and prediction of nonlinear biological systems: some examples. In 14th IFAC Symposium on System Identification, Newcastle, March 29-31, 2006 Australia, 2006 (pp. np) https://edepot.wur.nl/38604