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The Ubiquity of Three Steady States: Minimal Multistable Zero-One Reaction Networks
Xiaoxian Tang, Jiandong Zhang
Biochemical networks with unit stoichiometry arise naturally in receptor-ligand binding and multisite phosphorylation systems. A central question is to identify which networks admi…
Multistationarity of Reaction Networks with One-Dimensional Stoichiometric Subspaces
Kexin Lin, Xiaoxian Tang, Zhishuo Zhang
We study the multistationarity for the reaction networks with one-dimensional stoichiometric subspaces, and we focus on the networks admitting finitely many positive steady states.…
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces
Xiaoxian Tang, Zhishuo Zhang
For the reaction networks with one-dimensional stoichiometric subspaces, we show the following results. (1) If the maximum number of positive steady states is an even number N, the…
Bistability of Sequestration Networks
Xiaoxian Tang, Jie Wang
We solve a conjecture on multiple nondegenerate steady states, and prove bistability for sequestration networks. More specifically, we prove that for any odd number of species, and…