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On some topological properties of a strongly connected compartmental system with application to the identifiability problem. (English) Zbl 0629.93020

Some structural properties of a strongly connected compartmental system are illustrated. In particular a suitable set of “cycles” and “paths” associated to the compartmental graph is constructed, such that an application exists between the parameter space and the space of cycles and paths, whose suitable restriction is a bijection. It is shown that this set contains the minimum number of functions necessary to uniquely identify the parametrization vector, and its relevance in identifiability analysis is illustrated.

MSC:

93B30 System identification
54H99 Connections of general topology with other structures, applications
92Cxx Physiological, cellular and medical topics
05C38 Paths and cycles
05C40 Connectivity
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References:

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