Multistability of Small Reaction Networks
Organizers
Speaker
Xiaoxian Tang
Time
Friday, November 18, 2022 10:30 AM - 11:30 AM
Venue
Online
Online
Zoom 293 812 9202
(BIMSA)
Abstract
The multistability problem of biochemical reaction systems is crucial for understanding basic phenomena such as decision-making process in cellular signaling. Mathematically, it is a challenging real quantifier elimination problem. We present some recent progress on multistability of small reaction networks. 1) For reaction networks with two reactions (possibly reversible), we find the multistable networks those have the minimum numbers of reactants and species. 2) For reaction networks with one-dimensional stoichiometric subspaces, we give the relation between the maximum numbers of stable steady states and steady states. 3）For bi-reaction networks, we completely characterize the bi-reaction networks that admit at least three positive steady states. 4) For zero-one networks, we prove that if a network admits multistationrity, then its rank is at least three.