CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

Minimal output sets for identifiability

Milena Anguelova ; Johan Karlsson (Institutionen för kemi- och bioteknik, Systembiologi) ; Mats Jirstrand (Institutionen för kemi- och bioteknik, Systembiologi)
Mathematical Biosciences (0025-5564). (2012)
[Artikel, refereegranskad vetenskaplig]

Ordinary differential equation models in biology often contain a large number of parameters that must be determined from measurements by parameter estimation. For a parameter estimation procedure to be successful, there must be a unique set of parameters that can have produced the measured data. This is not the case if a model is not uniquely structurally identifiable with the given set of outputs selected as measurements. In designing an experiment for the purpose of parameter estimation, given a set of feasible but resource-consuming measurements, it is useful to know which ones must be included in order to obtain an identifiable system, or whether the system is unidentifiable from the feasible measurement set. We have developed an algorithm that, from a user-provided set of variables and parameters or functions of them assumed to be measurable or known, determines all subsets that when used as outputs give a locally structurally identifiable system and are such that any output set for which the system is structurally identifiable must contain at least one of the calculated subsets. The algorithm has been implemented in Mathematica and shown to be feasible and efficient. We have successfully applied it in the analysis of large signalling pathway models from the literature.

Nyckelord: observability, structural identifiability, nonlinear systems, Lie point symmetries, experimental design, signalling pathways



Den här publikationen ingår i följande styrkeområden:

Läs mer om Chalmers styrkeområden  

Denna post skapades 2012-05-21. Senast ändrad 2014-12-09.
CPL Pubid: 157865

 

Läs direkt!


Länk till annan sajt (kan kräva inloggning)


Institutioner (Chalmers)

Institutionen för kemi- och bioteknik, Systembiologi (2008-2014)

Ämnesområden

Livsvetenskaper
Innovation och entreprenörskap (nyttiggörande)
Optimeringslära, systemteori
Systemteknik
Reglerteknik

Chalmers infrastruktur