### 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 language | English |
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Title of host publication | 14th IFAC Symposium on System Identification, Newcastle, March 29-31, 2006 Australia, 2006 |

Pages | np |

Publication status | Published - 2006 |

Event | 14th IFAC Symposium on System Identification, Newcastle, Australia, 2006 - Duration: 29 Mar 2006 → 31 Mar 2006 |

### Conference

Conference | 14th IFAC Symposium on System Identification, Newcastle, Australia, 2006 |
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Period | 29/03/06 → 31/03/06 |

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## Cite this

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