66 citations · 178 across the 46 of their papers we have counts for
4 papers · 2 filters
Quasi-Toric Differential Inclusions
Gheorghe Craciun, Abhishek Deshpande, Hyejin Jenny Yeon
Toric differential inclusions play a pivotal role in providing a rigorous interpretation of the connection between weak reversibility and the persistence of mass-action systems and…
Realizations of kinetic differential equations
G. Craciun, M. D. Johnston, G. Szederkényi +3
The induced kinetic differential equation of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The problem studied here is…
Endotactic Networks and Toric Differential Inclusions
Gheorghe Craciun, Abhishek Deshpande
An important dynamical property of biological interaction networks is persistence, which intuitively means that "no species goes extinct". It has been conjectured that dynamical sy…
Polynomial Dynamical Systems, Reaction Networks, and Toric Differential Inclusions
Gheorghe Craciun
Some of the most common mathematical models in biology, chemistry, physics, and engineering, are polynomial dynamical systems, i.e., systems of differential equations with polynomi…