Injectivity, multiple zeros and multistationarity in reaction networks

  title={Injectivity, multiple zeros and multistationarity in reaction networks},
  author={Elisenda Feliu},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  • E. Feliu
  • Published 10 July 2014
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Polynomial dynamical systems are widely used to model and study real phenomena. In biochemistry, they are the preferred choice for modelling the concentration of chemical species in reaction networks with mass-action kinetics. These systems are typically parametrized by many (unknown) parameters. A goal is to understand how properties of the dynamical systems depend on the parameters. Qualitative properties relating to the behaviour of a dynamical system are locally inferred from the system at… 
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