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arXiv · 2209.14705

Structural conditions for saddle-node bifurcations in chemical reaction networks

Nicola Vassena
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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.

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Nicola Vassena. 2022-09-29. Structural conditions for saddle-node bifurcations in chemical reaction networks. https://doi.org/10.1137/22m1527933

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