Identifiability and indistinguishability of linear compartmental models
Mathematics and Computers in Simulation
On global identifiability for arbitrary model parametrizations
Automatica (Journal of IFAC)
Brief Identifiability of uncontrolled nonlinear rational systems
Automatica (Journal of IFAC)
Introduction: Modelling and control in biomedical systems
Computer Methods and Programs in Biomedicine
The input-output relationship approach to structural identifiability analysis
Computer Methods and Programs in Biomedicine
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An important question in Systems Biology is the design of experiments that enable discrimination between two (or more) competing chemical pathway models or biological mechanisms. In this paper analysis is performed between two different models describing the kinetic mechanism of a three-substrate three-product reaction, namely the MurC reaction in the cytoplasmic phase of peptidoglycan biosynthesis. One model involves ordered substrate binding and ordered release of the three products; the competing model also assumes ordered substrate binding, but with fast release of the three products. The two versions are shown to be distinguishable; however, if standard quasi-steady-state assumptions are made distinguishability cannot be determined. Once model structure uniqueness is ensured the experimenter must determine if it is possible to successfully recover rate constant values given the experiment observations, a process known as structural identifiability. Structural identifiability analysis is carried out for both models to determine which of the unknown reaction parameters can be determined uniquely, or otherwise, from the ideal system outputs. This structural analysis forms an integrated step towards the modelling of the full pathway of the cytoplasmic phase of peptidoglycan biosynthesis.