42 citations · 59 across the 23 of their papers we have counts for
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Characterization of Minimal Degenerate Zero-One Reaction Networks
Yuanlin Chen, Xiaoxian Tang
A fundamental problem in the algebraic study of biochemical reaction networks is to characterize degeneracy. Two-dimensional zero-one networks, where each reactant appears with sto…
Detecting Nonproperness of Likelihood Equations
Xiaoxian Tang, Bican Xia, Tianqi Zhao
Given an algebraic statistical model, a challenging problem is classifying the data according to the number of positive critical points of the likelihood function. The positive cri…
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…
Obstruction of Absolute Concentration Robustness by Conservation Laws in Non-Redundant Zero-One Networks
Xinyi Si, Xiaoxian Tang
Absolute concentration robustness (ACR) is a structural property of biochemical reaction networks in which a species attains the same steady-state concentration at every positive s…