Structural identifiability for a class of non-linear compartmental systems using linear/non-linear splitting and symbolic computation |
| |
Authors: | Chapman Michael J Godfrey Keith R Chappell Michael J Evans Neil D |
| |
Institution: | School of MIS-Maths, Coventry University, CV1 5FB, Coventry, UK. m.chapman@coventry.ac.uk |
| |
Abstract: | Under certain controllability and observability restrictions, two different parameterisations for a non-linear 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 non-linear 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. |
| |
Keywords: | Structural identifiability Compartmental models Non-linear systems Pharmacokinetics Symbolic computation |
本文献已被 ScienceDirect PubMed 等数据库收录! |