8 citations · 17 across the 10 of their papers we have counts for
8 papers · 1 filter
Symbolic proof of bistability in reaction networks
Angélica Torres, Elisenda Feliu
Deciding whether and where a system of parametrized ordinary differential equations displays bistability, that is, has at least two asymptotically stable steady states for some cho…
Addition of flow reactions preserving multistationarity and bistability
Daniele Cappelletti, Elisenda Feliu, Carsten Wiuf
We consider the question whether a chemical reaction network preserves the number and stability of its positive steady states upon inclusion of inflow and outflow reactions. Often…
Sign-sensitivities for reaction networks: an algebraic approach
Elisenda Feliu
This paper presents an algebraic framework to study sign-sensitivities for reaction networks modeled by means of systems of ordinary differential equations. Specifically, we study…
Quasi-steady state and singular perturbation reduction for reaction networks with non-interacting species
Elisenda Feliu, Christian Lax, Sebastian Walcher +1
Quasi-steady state (QSS) reduction is a commonly used method to lower the dimension of a differential equation model of a chemical reaction network. From a mathematical perspective…
Tikhonov-Fenichel reduction for parameterized critical manifolds with applications to chemical reaction networks
Elisenda Feliu, Niclas Kruff, Sebastian Walcher
We derive a reduction formula for singularly perturbed ordinary differential equations (in the sense of Tikhonov and Fenichel) with a known parameterization of the critical manifol…
On the existence of Hopf bifurcations in the sequential and distributive double phosphorylation cycle
Carsten Conradi, Elisenda Feliu, Maya Mincheva
Protein phosphorylation cycles are important mechanisms of the post translational modification of a protein and as such an integral part of intracellular signaling and control. We…