| Abstract: |
| In living cells, numerous reactions are interconnected through shared substrates and products, thereby forming complex reaction networks. The dynamics of such networks remain insufficiently understood, largely because the quantitative forms of reaction-rate functions are often unknown. To address this difficulty, one can adopt a structural or topological approach that does not rely on detailed kinetic assumptions or specific parameter values. Here, we present our recent studies on structural methods that enable us to determine bifurcation properties of chemical reaction systems directly from network structure, including which parameters control the onset of bifurcations and which parts of the system exhibit bifurcating behavior. We further discuss multistability, focusing in particular on a structural criterion for identifying the molecular species that should be observed to distinguish and classify coexisting steady states. |
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