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On the identifiability of linear compartmental systems a revisited transfer function approach based on topological properties

Audoly S.; D'angio L.

Mathematical Biosciences 66(2): 201-228

1983

The problem of the a priori identifiability of compartmental systems from input-output experiments are discussed. A new approach is presented, in which, having associated a directed graph with the matrix to be identified, a set of forms is defined which are functions of the elements of the matrix itself. By exploiting the topological properties of the graph and its subgraphs, the problem can be simplified into one of smaller dimensions. Examples are provided to illustrate this new approach.

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