# Structural conditions for saddle-node bifurcations in chemical reaction networks

Source: [Structural conditions for saddle-node bifurcations in chemical reaction networks](<https://www.sota2.com/research/paper/68fa5aae1e209131ce9c1d4f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T16:37:49.538Z

Authors: Nicola Vassena

Published: 2022-09-29T12:07:12.000Z

## Abstract

Motivated by investigating multistationarity in biochemical systems, we address saddle-node bifurcations for chemical reaction networks endowed with general kinetics. At positive equilibria, we identify structural network conditions that guarantee the bifurcation behavior, and we develop a method to identify the proper bifurcation parameters. As a relevant example, we explicitly provide such bifurcation parameters for Michaelis-Menten and Hill kinetics. Examples of applications include reversible feedback cycles, the central carbon metabolism of Escherichia coli, and autocatalytic networks.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2209.14705>)

[PDF](<https://arxiv.org/pdf/2209.14705.pdf>)