Modal analysis of identifiablity of linear compartmental models

A method for analysing the structural identifiability of linear, time-invariant compartmental models in terms of normal modes is presented and applied to several examples. The equations to be examined are linear or bilinear, whereas previous methods have produced nonlinear equations. In consequence, the proposed method has the advantage that is possible to check relatively easily, by a process readily computerised, whether a unique solution exists. Also, if a proposed experiment does not result in a unique solution, it is clear how the model or the experiment must be modified to achieve this.