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Authors
Mark J. W. Musters; Danie J. W. Lindenaar; Aleksandar Lj. Juloski; Natal A. W. van Riel

Identifier
10.3182/20060329-3-AU-2901.00051

Index Terms
hybrid models,identification algorithms,least-squares identification,parameter estimation,physiological models,prediction error methods

Abstract
Disentangling the complexity of biochemical networks requires knowledge about the quantitative relationships between the individual components. However, the nonlinear dynamics of biochemical processes are difficult to identify with traditional identification methods. We therefore propose to model the complex nonlinear biochemical processes with several simpler systems (modes), together with a switching rule that determines which mode is active, i.e. with a hybrid system. We consider the example of a nonlinear biochemical oscillator, and propose a simple piecewise affine (PWA) approximation. Qualitative analysis shows that the PWA model is able to capture the dynamics of the nonlinear oscillator. Hybrid identification procedure is subsequently applied to identify the parameters of the PWA model.

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