Model-Order Reduction of Biochemical Reaction Networks

In this paper, the authors propose a model-order reduction method for chemical reaction networks governed by general enzyme kinetics, including the mass-action and Michaelis-Menten kinetics. The model-order reduction method is based on the Kron reduction of the weighted Laplacian matrix which describes the graph structure of complexes in the chemical reaction network. They apply their method to a yeast glycol sis model, where the simulation result shows that the transient behavior of a number of key metabolites of the reduced-order model is in good agreement with those of the full-order model.