Structural reduction of chemical reaction networks based on topology

We develop a model-independent reduction method of chemical reaction systems based on the stoichiometry, which determines their network topology. A subnetwork can be eliminated systematically to give reduced system with fewer degrees freedom. This removal is accompanied by rewiring network, prescribed Schur complement stoichiometric matrix. Using homology and cohomology groups characterize topology networks, we track changes induced through in those groups. prove that, when certain topological conditions are met, steady-state concentrations rates ensured same as original system. result holds regardless modeling reactions, namely kinetics, since only involve information. advantageous because details kinetics parameter values difficult identify many practical situations. The allows us reduce while preserving its properties, thereby complex studied efficiently. demonstrate hypothetical networks central carbon metabolism Escherichia coli.