The interaction graph structure of mass-action reaction networks.

@article{Domijan2012TheIG,
  title={The interaction graph structure of mass-action reaction networks.},
  author={Mirela Domijan and Elisabeth P{\'e}cou},
  journal={Journal of mathematical biology},
  year={2012},
  volume={65 2},
  pages={375-402}
}
Behaviour of chemical networks that are described by systems of ordinary differential equations can be analysed via the associated graph structures. This paper deals with observations based on the interaction graph which is defined by the signs of the Jacobian matrix entries. Some of the important graph structures linked to network dynamics are signed circuits and the nucleus (or Hamiltonian hooping). We use mass-action chemical reaction networks as an example to showcase interesting… CONTINUE READING