Remarks on monotonicity and convergence in chemical reaction networks

@article{Angeli2004RemarksOM,
  title={Remarks on monotonicity and convergence in chemical reaction networks},
  author={David Angeli and P. De Leencheer and E. D. Sontag},
  journal={2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)},
  year={2004},
  volume={1},
  pages={243-248 Vol.1}
}
In this note we discuss monotonicity and convergence to equilibria in certain classes of chemical reaction networks. The results do not assume any specific structure of the dynamical equations involved (e.g. mass-action kinetics), and only rely on stoichiometric constraints. The idea is to find a suitable linear change of coordinates under which the resulting system is cooperative.