66 citations · 178 across the 46 of their papers we have counts for
52 papers
The Computation of the Disguised Toric Locus of Reaction Networks
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Mathematical models of reaction networks can exhibit very complex dynamics, including multistability, oscillations, and chaotic dynamics. On the other hand, under some additional a…
Weakly reversible deficiency zero realizations of reaction networks
Neal Buxton, Gheorghe Craciun, Abhishek Deshpande +1
We prove that if a given reaction network has a weakly reversible deficiency zero realization for all choice of rate constants, then there exists a …
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…
The Dimension of the Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Under mass-action kinetics, complex-balanced systems emerge from biochemical reaction networks and exhibit stable and predictable dynamics. For a reaction network , the associat…
The toric locus of a reaction network is a smooth manifold
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We show that the toric locus of a reaction network is a smoothly embedded submanifold of the Euclidean space. More precisely, we prove that the toric locus of a reaction network is…
On the Connectivity of the Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Complex-balanced mass-action systems are some of the most important types of mathematical models of reaction networks, due to their widespread use in applications, as well as their…