Multistationarity questions in reduced versus extended biochemical networks.

ABSTRACT

We address several questions in reduced versus extended networks via the elimination or addition of intermediate complexes in the framework of chemical reaction networks with mass-action kinetics. We clarify and extend advances in the literature concerning multistationarity in this context, mainly from Feliu and Wiuf (J R Soc Interface 1020130484, 2013), Sadeghimanesh and Feliu (Bull Math Biol 812428-2462, 2019), Pérez Millán and Dickenstein (SIAM J Appl Dyn Syst 17(2)1650-1682, 2018), Dickenstein et al. (Bull Math Biol 811527-1581, 2019). We establish general results about MESSI systems, which we use to compute the circuits of multistationarity for significant biochemical networks.