3 citations · 10 across the 9 of their papers we have counts for
10 papers
Multistationarity in semi-open Phosphorylation-Dephosphorylation Cycles
Praneet Nandan, Beatriz Pascual-Escudero, Diego Rojas La Luz
Multistationarity underlies biochemical switching and cellular decision-making. We study how multistationarity in the sequential -site phosphorylation-dephosphorylation cycle is…
Optimization of sequential therapies to maximize extinction of resistant bacteria through collateral sensitivity
Javier Molina-Hernández, José A. Cuesta, Beatriz Pascual-Escudero +2
Antimicrobial resistance (AMR) threatens global health. A promising and underexplored strategy to tackle this problem is sequential therapies exploiting collateral sensitivity (CS)…
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,…
Generic consistency and nondegeneracy of vertically parametrized systems
Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero
We determine the generic consistency, dimension and nondegeneracy of the zero locus over , and of vertically parametrized systems: pa…
An algebraic approach to product-form stationary distributions for some reaction networks
Beatriz Pascual-Escudero, Linard Hoessly
Exact results for product-form stationary distributions of Markov chains are of interest in different fields. In stochastic reaction networks (CRNs), stationary distributions are m…
Local and global robustness at steady state
B. Pascual-Escudero, E. Feliu
We study the robustness of the steady states of a class of systems of autonomous ordinary differential equations (ODEs), having as a central example those arising from (bio)chemica…
Contact loci and Hironaka's order
A. Bravo, S. Encinas, B. Pascual-Escudero
We study contact loci sets of arcs and the behavior of Hironaka's order function defined in constructive Resolution of singularities. We show that this function can be read in term…
Nash multiplicity sequences and Hironaka's order function
A. Bravo, S. Encinas, B. Pascual-Escudero
When is a -dimensional variety defined over a field of characteristic zero, a constructive resolution of singularities can be achieved by successively lowering the maxim…
Nash multiplicities and isolated points of maximum multiplicity
Beatriz Pascual-Escudero
Let be an algebraic variety defined over a field of characteristic zero, and let be a point in the closed subset of maximum multiplici…
Nash multiplicities and resolution invariants
A. Bravo, S. Encinas, B. Pascual-Escudero
The Nash multiplicity sequence was defined by M. Lejeune-Jalabert as a non-increasing sequence of integers attached to a germ of a curve inside a germ of a hypersurface. M. Hickel…