Original Paper

Journal of Mathematical Chemistry

, Volume 44, Issue 1, pp 244-259

First online:

Identifiability of chemical reaction networks

  • Gheorghe CraciunAffiliated withDepartment of Mathematics, University of Wisconsin-MadisonDepartment of Biomolecular Chemistry, University of Wisconsin-Madison Email author 
  • , Casian PanteaAffiliated withDepartment of Mathematics, University of Wisconsin-Madison

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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