Identifiability of chemical reaction networks |
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Authors: | Gheorghe Craciun Casian Pantea |
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Institution: | (1) Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, WI 53706-1388, USA;(2) Department of Biomolecular Chemistry, University of Wisconsin-Madison, 1300 University Avenue, Madison, WI 53706-1532, USA |
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Abstract: | We consider the dynamics of chemical reaction networks under the assumption of mass-action kinetics. We show that there exist
reaction networks 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 . Also, we show that there exist reaction networks such that their dynamics are identical under appropriate choices of reaction rate constants, and present theorems that characterize
the properties of , , 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. |
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Keywords: | Chemical reaction networks Mass-action kinetics Parameter identification |
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