# Kron-based Model-order Reduction of Open Mass-action Kinetics Chemical Reaction Networks Source: [Kron-based Model-order Reduction of Open Mass-action Kinetics Chemical Reaction Networks]() Collection index: [llms.txt]() Data updated: 2025-10-26T00:07:48.255Z Authors: Mohamad Agung Prawira Negara, Azka Muji Burohman, Bayu Jayawardhana Published: 2022-03-30T08:22:53.000Z ## Abstract We propose a Kron-based model-order reduction method for mass-action kinetics chemical reaction networks (CRN) with constant inflow and proportional outflow. The reduced-order models preserve the CRN structure and we establish that the resulting reduced-order models have the same DC-gain or zero-moment as that of the full-order ones. Subsequently, we present the spectrum interlacing property of the Kron-reduced open CRN and propose the use of Gramians-based approach for single-species single-substrate chemical network to get the upper-bound of approximation error and to use it in determining a good set of nodes to be removed systematically. Finally, we evaluate the applicability and efficacy of our results in two well-known biochemical kinetic models: the activated sludge model (ASM) 1 and McKeithan's T-cell receptor model. ## Recorded benchmark results A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. ## Original sources and implementation [Original paper]() [PDF]()