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…
Extinction in Reaction Network Models
Pranav Agarwal, Gheorghe Craciun, Abhishek Deshpande +1
In this paper, we study extinction in dynamical systems generated by reaction networks. We introduce two notions: weak extinction and strong extinction, and relate them to the stru…
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-…
Planar chemical reaction systems with algebraic and non-algebraic limit cycles
Gheorghe Craciun, Radek Erban
The Hilbert number is defined as the maximum number of limit cycles of a planar autonomous system of ordinary differential equations (ODEs) with right-hand sides containing…