A Numerical Procedure for Model Identifiability Analysis Applied to Enzyme Kinetics

Timothy, Van Daele, Stijn Van Hoey, Krist Gernaey, Ulrich Krühne, Ingmar Nopens

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


The proper calibration of models describing enzyme kinetics can be quite challenging. In the literature, different procedures are available to calibrate these enzymatic models in an efficient way. However, in most cases the model structure is already decided on prior to the actual calibration exercise, thereby bypassing the challenging task of model structure determination and identification. Parameter identification problems can thus lead to ill-calibrated models with low predictive power and large model uncertainty. Every calibration exercise should therefore be precededby a proper model structure evaluation by assessing the local identifiability characteristics of the parameters. Moreover, such a procedure should be generic to make sure it can be applied independent from the structure of the model. We hereby apply a numerical identifiability approach which is based on the work of Walter and Pronzato (1997) and which can be easily set up for any type of model. In this paper the proposed approach is applied to the forward reaction rate of the enzyme kinetics proposed by Shin and Kim(1998). Structural identifiability analysis showed that no local structural model problems were occurring. In contrast, the practical identifiability analysis revealed that high values of the forward rate parameter Vf led to identifiability problems. These problems were even more pronounced athigher substrate concentrations, which illustrates the importance of a proper experimental designto avoid (practical) identifiability problems. By using the presented approach it is possible to detect potential identifiability problems and avoid pointless calibration (and experimental!) effort.
Original languageEnglish
Title of host publicationProceedings of the 25th European Symposium on Computer Aided Process Engineering
EditorsKrist V. Gernaey, Jakob K. Huusom, Rafiqul Gani
Publication date2015
Publication statusPublished - 2015
Event25th European Symposium on Computer Aided Process Engineering : 12th International Symposium on Process Systems Engineering - Copenhagen, Denmark
Duration: 31 May 20154 Jun 2015


Conference25th European Symposium on Computer Aided Process Engineering
Internet address
SeriesComputer Aided Chemical Engineering


  • Model analysis
  • Structural identifiability
  • Practical identifiability
  • Enzyme kinetics

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