Structural reduction of chemical reaction networks based on topology
- 2021年4月1日10:00 - 11:00
- 広野 雄士 (Assistant Professor, Asia Pacific Center for Theoretical Physics, Republic of Korea)
- via Zoom
Chemical reactions form a complex network in living cells and they play vital roles for physiological functions. An amusing question is how the structure of a reaction network is linked to its chemical functionalities. I’ll talk about a method of the reduction of chemical reaction networks, which is convenient for extracting important substructures. Mathematical concepts such as homology and cohomology groups are found to be useful for characterizing the shapes of reaction networks and for tracking the changes of them under reductions. For a given chemical reaction network, we identify topological conditions on its subnetwork, reduction of which preserves the steady state of the remaining part of the network.