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Multistationary chemical reaction networks are of interest to scientists andmathematicians alike. While some criteria for multistationarity exist,obtaining explicit reaction rates and steady states that exhibitmultistationarity for a given network -- in order to check nondegeneracy ordetermine stability of the steady states, for instance -- is nontrivial.Nonetheless, we accomplish this task for a certain family of sequestrationnetworks. Additionally, our results allow us to prove the existence ofnondegenerate steady states for some of these sequestration networks, therebyresolving a subcase of a conjecture of Joshi and Shiu. Our work relies on thedeterminant optimization method, developed by Craciun and Feinberg, forasserting that certain networks are multistationary. More precisely, weimplement the construction of reaction rates and multiple steady states whichappears in the proofs that underlie their method. Furthermore, we describe indetail the steps of this construction so that other researchers can more easilyobtain, as we did, multistationary rates and steady states.

Analyzing Multistationarity in Chemical Reaction Networks using the Determinant Optimization Method