Identifiability results on some constrained compartmental systems

Abstract Explicit results are given concerning structural identifiability and unique structural identifiability for some specially constrained compartmental systems. Identifiability analysis has been performed for closed and almost closed catenary and mamillary systems, and previously available results have been improved and extended. New classes of constrained compartmental systems (radial and tree-type systems) have been considered, their structural identifiability proved and the number of different solutions explicitly evaluated. The case has also been analyzed where noncompartmental appendices are connected to the considered compartmental systems.