30 citations · 40 across the 4 of their papers we have counts for
4 papers
Sign conditions for the existence of at least one positive solution of a sparse polynomial system
Frédéric Bihan, Alicia Dickenstein, Magalí Giaroli
We give sign conditions on the support and coefficients of a sparse system of d generalized polynomials in d variables that guarantee the existence of at least one positive real ro…
Parameter regions that give rise to 2[n/2]+1 positive steady states in the n-site phosphorylation system
Magalí Giaroli, Rick Rischter, Mercedes Pérez Millán +1
The distributive sequential n-site phosphorylation/dephosphorylation system is an important building block in networks of chemical reactions arising in molecular biology, which has…
Regions of multistationarity in cascades of Goldbeter-Koshland loops
Magalí Giaroli, Frédéric Bihan, Alicia Dickenstein
We consider cascades of enzymatic Goldbeter-Koshland loops with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of varia…
Lower bounds for positive roots and regions of multistationarity in chemical reaction networks
Frédéric Bihan, Alicia Dickenstein, Magalí Giaroli
Given a real sparse polynomial system, we present a general framework to find explicit coefficients for which the system has more than one positive solution, based on the recent ar…