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Structural identifiability of the parameters of a nonlinear batch reactor model. (English) Zbl 0738.92010
Summary: The similarity transformation approach is used to analyze the structural identifiability of the parameters of a nonlinear model of microbial growth in a batch reactor in which only the concentration of microorganisms is measured. It is found that some of the model parameters are unidentifiable from this experiment, thus providing the first example of a real-life nonlinear model that turns out not to be globally identifiable. If it is possible to measure the initial concentration of growth-limiting substrate as well, all model parameters are globally identifiable.
MSC:
92C99Physiological, cellular and medical topics
93B30System identification
92D25Population dynamics (general)
93C15Control systems governed by ODE
93C95Applications of control theory