1 code implementation • 8 Aug 2022 • Xiaoxian Tang, Kaizhang Wang
For the reaction networks with zero-one stoichiometric coefficients (or simply zero-one networks), we prove that if a network admits a Hopf bifurcation, then the rank of the stoichiometric matrix is at least four.
1 code implementation • 10 Aug 2020 • Xiaoxian Tang, Hao Xu
For three typical sets of small reaction networks (networks with two reactions, one irreversible and one reversible reaction, or two reversible-reaction pairs), we completely answer the challenging question: what is the smallest subset of all multistable networks such that any multistable network outside of the subset contains either more species or more reactants than any network in this subset?
2 code implementations • 2 Mar 2020 • Xiaoxian Tang, Houjie Wang, Ruriko Yoshida
For hard margin tropical SVMs, we prove the necessary and sufficient conditions for two categories of data points to be separated, and we show an explicit formula for the optimal value of the feasible linear programming problem.
1 code implementation • 31 Oct 2019 • Carsten Conradi, Nida Obatake, Anne Shiu, Xiaoxian Tang
We consider a model of extracellular signal-regulated kinase (ERK) regulation by dual-site phosphorylation and dephosphorylation, which exhibits bistability and oscillations, but loses these properties in the limit in which the mechanisms underlying phosphorylation and dephosphorylation become processive.
