A computer program for the analysis of structural identifiability and equivalence of linear compartmental models

Abstract

A FORTRAN program based on the sufficient and necessary algebraic condition for structural identifiability is presented. In the case of an unidentifiable model the program generates all identifiable submodels that are structurally equivalent to the original model in the given input--output experiment. The parametrization vector of the model may include first-order and zero-order transport rate coefficients, unknown distribution volumes and initial conditions, as well as unknown elements of input and output matrices. Any a priori constraint imposed upon the parameters may be taken into account. An attempt is made to reduce input data requirements preserving generality of the program.