Intermediates and Generic Convergence to Equilibria

Bull Math Biol. 2017 Jul;79(7):1662-1686. doi: 10.1007/s11538-017-0303-4. Epub 2017 Jun 15.

Abstract

Known graphical conditions for the generic and global convergence to equilibria of the dynamical system arising from a reaction network are shown to be invariant under the so-called successive removal of intermediates, a systematic procedure to simplify the network, making the graphical conditions considerably easier to check.

Keywords: Model reduction; Monotonicity; Monotonicity in reaction coordinates; R-graph; Reduction; SR-graph.

MeSH terms

  • Genetic Variation*
  • Humans
  • Models, Theoretical*