Multistationarity and structure in enzymatic networks

MERCEDES PÉREZ MILLÁN; ALICIA DICKENSTEIN; RICK RISCHTER; MAGALÍ GIAROLI

Congreso; Mathematical Congress of the Americas; 2021

In this work we focus on structured enzymatic networks modeled under mass-action kinetics [Dickenstein et al. (2019), Pérez Millán and Dickenstein (2018)] and study their regions of multistationarity in parameter space and also the minimal number of intermediate species and their location in the network to allow for more than one steady state. This last question has been studied in [Feliu and Wiuf (2013)] and also in [Sadeghimanesh and Feliu(2019)] using degree theory techniques. Our approach significantly simplify the analysis to determine whether the system is multistationary or not. We apply our results on several biologically relevant signaling networks.