Multistability of Small Reaction Networks

2020/08/10 by Xiaoxian Tang, Hao Xu, Tang, Xiaoxian +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Molecular Networks (q-bio.MN) #math.AG #math.DS #q-bio.MN

paper · pdf · doi:10.48550/arxiv.2008.03846

23 pages, 5 tables

arxiv created 2021/01/28 · arxiv updated 2021/01/29

Abstract

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?

Cited by

• Ubiquity of Uncertainty in Neuron Systems
• Degeneracy of Two-Dimensional Zero-One Reaction Networks with Up to Three Species

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