Bulletin of Mathematical Biology

, Volume 79, Issue 7, pp 1662–1686 | Cite as

Intermediates and Generic Convergence to Equilibria

  • Michael Marcondes de Freitas
  • Carsten Wiuf
  • Elisenda Feliu
Original Article
First Online:
Received:
Accepted:

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 in reaction coordinates Monotonicity R-graph SR-graph Reduction 
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Notes

Acknowledgements

Elisenda Feliu, Michael Marcondes de Freitas and Carsten Wiuf acknowledge funding from the Danish Research Council of Independent Research. We would also like to thank Anne Shiu and Mitchell Eithun for their careful reading of an earlier version of this paper and valuable comments.

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Copyright information

© Society for Mathematical Biology 2017

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of CopenhagenCopenhagenDenmark

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