Structural identifiability of the yield parameters in nonlinear compartmental models for bioprocesses

Chen, Libei;Bastin, Georges;Dochain, Denis
(1990) 29th IEEE Cof. Dec. Control

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Authors
  • Chen, LibeiUCLouvain
    Author
  • Bastin, Georgesorcid-logoUCLouvain
    Author
  • Dochain, DenisUCLouvain
    Author
Abstract
The identification problem of bioprocesses in a stirred tank reactor essentially concerns the determination of the yield coefficients and reaction rates involved in a general state space model. In this paper, we concentrate on the identification of the yield coefficients. It will be shown that the yield coefficient identification can be completely decoupled from that of the reaction rates by means of an appropriate transformation of the dynamical model. The identifiability of the yield coefficients is investigated. It is shown that the identifiability properties of these coefficients can be drawn from the structure of the underlying reaction scheme. Necessary and sufficient identifiability conditions are given in the form of some simple algebraic tests.
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Chen, L., Bastin, G., & Dochain, D. (1990). Structural identifiability of the yield parameters in nonlinear compartmental models for bioprocesses. Proc. 29th IEEE Cof. Dec. Control, 1074-1079. https://hdl.handle.net/2078.5/127207 (Original work published 1990)