66 citations · 178 across the 46 of their papers we have counts for
9 papers · 1 filter
Autocatalytic systems and recombination: a reaction network perspective
Gheorghe Craciun, Abhishek Deshpande, Badal Joshi +1
Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manf…
Uniqueness of weakly reversible and deficiency zero realizations of dynamical systems
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu
A reaction network together with a choice of rate constants uniquely gives rise to a system of differential equations, according to the law of mass-action kinetics. On the other ha…
The structure of the moduli space of toric dynamical systems of a reaction network
Gheorghe Craciun, Jiaxin Jin, Miruna-Stefana Sorea
We consider toric dynamical systems, which are also called complex-balanced mass-action systems. These are remarkably stable polynomial dynamical systems that arise from the analys…
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions
Yida Ding, Abhishek Deshpande, Gheorghe Craciun
Toric differential inclusions occur as key dynamical systems in the context of the Global Attractor Conjecture. We introduce the notions of minimal invariant regions and minimal gl…
Autocatalytic Networks: An Intimate Relation between Network Topology and Dynamics
Badal Joshi, Gheorghe Craciun
We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system call…
Disguised toric dynamical systems
Laura Brustenga i Moncusí, Gheorghe Craciun, Miruna-Stefana Sorea
We study families of polynomial dynamical systems inspired by biochemical reaction networks. We focus on complex balanced mass-action systems, which have also been called toric. Th…