Corpus ID: 219179381

Disguised toric dynamical systems

@article{Moncusi2020DisguisedTD,
  title={Disguised toric dynamical systems},
  author={Laura Brustenga i Moncus'i and Gheorghe Craciun and Miruna-Stefana Sorea},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
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 dynamical systems. These systems are known or conjectured to enjoy very strong dynamical properties, such as existence and uniqueness of positive steady states, local and global stability, persistence, and permanence. We consider the class of disguised toric dynamical systems, which contains toric dynamical systems, and… Expand
2 Citations
The structure of the moduli spaces of toric dynamical systems
We consider complex balanced mass-action systems, also called toric dynamical systems. They are polynomial dynamical systems arising from reaction networks and have remarkable dynamical properties.Expand
Uniqueness of weakly reversible and deficiency zero realization
In general, if a dynamical system is generated by some reaction network via mass-action kinetics, then it can also be generated by many other reaction networks. Here we show that if a dynamicalExpand

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