30 citations · 93 across the 23 of their papers we have counts for
3 papers · 1 filter
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…
A Polyhedral Method for Sparse Systems with many Positive Solutions
Frédéric Bihan, Francisco Santos, Pierre-Jean Spaenlehauer
We investigate a version of Viro's method for constructing polynomial systems with many positive solutions, based on regular triangulations of the Newton polytope of the system. Th…