Intermediates and Generic Convergence to Equilibria

TL;DR

This paper demonstrates that certain graphical conditions ensuring convergence to equilibria in reaction networks remain invariant when intermediates are successively removed, simplifying the analysis of complex systems.

Contribution

It introduces the invariance of convergence conditions under the systematic removal of intermediates, aiding in the analysis of reaction network dynamics.

Findings

Graphical conditions for convergence are invariant under intermediate removal.

Simplifies the process of verifying convergence in complex reaction networks.

Facilitates analysis by reducing network complexity without losing key properties.

Abstract

Known graphical conditions for the generic or 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 easier to check.