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Session S24 - Symbolic Computation: Theory, Algorithms and Applications

Tuesday, July 13, 15:00 ~ 15:25 UTC-3

Multistationarity and structure in enzymatic networks

Mercedes Perez Millan

UBA-CONICET, Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this work we focus on structured enzymatic networks modeled under mass-action kinetics [Dickenstein-Perez Millan-Shiu-Tang(2019), Perez Millan-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. These questions have been studied in [Feliu-Wiuf(2013)] and also in [Sadeghimanesh-Feliu(2019)] using degree theory techniques. Our approach significantly simplifies the analysis to determine whether the system is multistationary or not. We apply our results on several biologically relevant signaling networks with the aid of computer algebra systems.

Joint work with Alicia Dickenstein (UBA-CONICET, Argentina), Magalí Giaroli (UBA, Argentina) and Rick Rischter (UNIFEI, Brazil).

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