Dynamical equivalence and linear conjugacy of biochemical reaction network models

The distinguishability and identifiability of biological network models are key properties influencing the reliability of structural and parametric identification of such models. Recently, several new results have been published about dynamically equivalent and linearly conjugate reaction networks. In this paper, the notion and importance of dynamical equivalence and linear conjugacy of biochemical network models obeying the mass action law is shown. For this, new concepts in the form of core complexes and core reactions for linearly conjugate networks are introduced. Two examples illustrate the developed computation methods.