8 citations · 17 across the 10 of their papers we have counts for
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On the reaction rate constants that enable multistationarity in the two-site phosphorylation cycle
Elisenda Feliu
Parametrized polynomial ordinary differential equation systems are broadly used for modeling, specially in the study of biochemical reaction networks under the assumption of mass-a…
The multistationarity structure of networks with intermediates and a binomial core network
AmirHosein Sadeghimanesh, Elisenda Feliu
This work addresses whether a reaction network, taken with mass-action kinetics, is multistationary, that is, admits more than one positive steady state in some stoichiometric comp…
Multistationarity and Bistability for Fewnomial Chemical Reaction Networks
Elisenda Feliu, Martin Helmer
Bistability and multistationarity are properties of reaction networks linked to switch-like responses and connected to cell memory and cell decision making. Determining whether and…
Nonnegative linear elimination for chemical reaction networks
Meritxell Sáez, Carsten Wiuf, Elisenda Feliu
We consider linear elimination of variables in steady state equations of a chemical reaction network. Particular subsets of variables corresponding to sets of so-called reactant-no…
Groebner bases of reaction networks with intermediate species
AmirHosein Sadeghimanesh, Elisenda Feliu
In this work we consider the computation of Groebner bases of the steady state ideal of reaction networks equipped with mass-action kinetics. Specifically, we focus on the role of…