66 citations · 178 across the 46 of their papers we have counts for
5 papers · 1 filter
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 …
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…
Weakly reversible mass-action systems with infinitely many positive steady states
Balázs Boros, Gheorghe Craciun, Polly Y. Yu
We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming from the zeroes of a multivariate polynomial. Moreover, the same is true o…
Mathematical Analysis of Chemical Reaction Systems
Polly Y. Yu, Gheorghe Craciun
The use of mathematical methods for the analysis of chemical reaction systems has a very long history, and involves many types of models: deterministic versus stochastic, continuou…
A Dimension Reduction Method for Inferring Biochemical Networks
Gheorghe Craciun, Casian Pantea, Grzegorz A. Rempala
We present herein an extension of an algebraic statistical method for inferring biochemical reaction networks from experimental data, proposed recently in [3]. This extension allow…