4 papers
A flux-based approach for analyzing the disguised toric locus of reaction networks
Balázs Boros, Gheorghe Craciun, Oskar Henriksson +2
Dynamical systems with polynomial right-hand sides are very important in various applications, e.g., in biochemistry and population dynamics. The mathematical study of these dynami…
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 n-site phosphorylation-dephosphorylation cycle is…
Asymptotic Robustness in Biochemical Systems
Hyukpyo Hong, Diego Rojas La Luz, Gheorghe Craciun
Living systems maintain stable internal states despite environmental fluctuations. Absolute concentration robustness (ACR) is a striking homeostatic phenomenon in which the steady-…
Generalized Lotka-Volterra Systems and Complex Balanced Polyexponential Systems
Diego Rojas La Luz, Gheorghe Craciun, Polly Y. Yu
We study the global stability of generalized Lotka-Volterra systems with generalized polynomial right-hand side, without restrictions on the number of variables or the polynomial d…