Journal of Mathematical Chemistry

, Volume 44, Issue 1, pp 244–259

Identifiability of chemical reaction networks

Original Paper

DOI: 10.1007/s10910-007-9307-x

Cite this article as:
Craciun, G. & Pantea, C. J Math Chem (2008) 44: 244. doi:10.1007/s10910-007-9307-x


We consider the dynamics of chemical reaction networks under the assumption of mass-action kinetics. We show that there exist reaction networks \({\mathcal{R}}\) for which the reaction rate constants are not uniquely identifiable, even if we are given complete information on the dynamics of concentrations for all chemical species of \({\mathcal{R}}\) . Also, we show that there exist reaction networks \({\mathcal{R}}_1 \neq {\mathcal{R}}_2\) such that their dynamics are identical under appropriate choices of reaction rate constants, and present theorems that characterize the properties of \({\mathcal{R}}\) , \({\mathcal{R}}_1\) , \({\mathcal{R}}_2\) that make this possible. We use these facts to show how we can determine dynamical properties of some chemical networks by analyzing other chemical networks.


Chemical reaction networks Mass-action kinetics  Parameter identification 

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadisonUSA
  2. 2.Department of Biomolecular ChemistryUniversity of Wisconsin-MadisonMadisonUSA

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