Fig 1.
Core elements of the structural identifiability analysis method.
Further refinements are possible: in some cases more complete solutions may be obtained by re-running the procedure after removing parameters already classified as identifiable. The model M used as example is the Goodwin oscillator analysed in the Results section.
Table 1.
Types of analyses possible with this methodology.
Table 2.
Main features of the models analysed in this study.
Fig 2.
The first three models analysed in this work.
(A) Pharmacokinetic model of Pitavastatin hepatic uptake. (B) Goodwin oscillator. (C) MAPK cascade with mixed feedback. The upper part of the figure shows functional diagrams of the three systems. The lower part shows the connections between the states (blue stars), outputs (red squares), and parameters (green circles); a directed arrow from X to Y indicates that Y appears in the dynamic equation of X.
Fig 3.
The NF-κB model.
Fig 4.
Models of JAK/STAT (A) and Arabidopsis thaliana (B).
Note that states x7 and x9 in the upper diagram of JAK/STAT do not appear in the lower diagram since they are expressed as functions of x6 and x8 respectively.
Fig 5.
Metabolic model of Chinese Hamster Ovary cells used in a fed-batch fermentation process.