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Structural identifiability for a class of non-linear compartmental systems using linear/ non-linear splitting and symbolic computation. (English) Zbl 1011.92001

Summary: Under certain controllability and observability restrictions, two different parameterisations for a nonlinear compartmental model can only have the same input-output behaviour if they differ by a locally diffeomorphic change of basis for the state space. With further restrictions, it is possible to gain valuable information with respect to identifiability via a linear analysis. Examples are presented where nonlinear identifiability analyses are substantially simplified by means of an initial linear analysis. For complex models, with four or more compartments, this linear analysis can prove lengthy to perform by hand and so symbolic computation has been employed to aid this procedure.

MSC:

92B05 General biology and biomathematics
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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