98 citations · 335 across the 42 of their papers we have counts for
19 papers · 1 filter
The generic geometry of steady state varieties
Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero
We answer several fundamental geometric questions about reaction networks with power-law kinetics, on topics such as generic finiteness of the number of steady states, robustness,…
Positive equilibria in mass action networks: geometry and bounds
Murad Banaji, Elisenda Feliu
Any mass action network gives rise to a parameterised family of polynomial equations whose positive solutions are the positive equilibria of the network. Here, we consider alternat…
Topological descriptors of the parameter region of multistationarity: deciding upon connectivity
Máté L. Telek, Elisenda Feliu
Switch-like responses arising from bistability have been linked to cell signaling processes and memory. Revealing the shape and properties of the set of parameters that lead to bis…
Parameter region for multistationarity in site phosphorylation networks
Elisenda Feliu, Nidhi Kaihnsa, Timo de Wolff +1
Multisite phosphorylation is a signaling mechanism well known to give rise to multiple steady states, a property termed multistationarity. When phosphorylation occurs in a sequenti…
The kinetic space of multistationarity in dual phosphorylation
E. Feliu, N. Kaihnsa, T. de Wolff +1
Multistationarity in molecular systems underlies switch-like responses in cellular decision making. Determining whether and when a system displays multistationarity is in general a…
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…