Abstract:
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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.
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