For ODEs systems arising from chemical reaction networks, I want to rigorously prove conditions for
equilibria bifurcations involving a zero eigenvalue of the Jacobian matrix.

More specifically, I plan to address

1. saddle-node bifurcation (simple eigenvalue zero);
2. Takens-Bogdanov bifurcation (algebraically double eigenvalue zero),
aiming at general network conditions that guarantee the occurrence of such bifurcation phenomena: the
analysis will not be confined to any a priori given example. A posteriori, the third goal of the project is
3. applying the results to biochemically relevant networks, in a twofold manner.

Firstly, I want to find biochemically meaningful network motifs and patterns indicating possible bifurcation behaviors. Secondly, I intend to use established kinetic models of relevant metabolic
networks to explicitly simulate bifurcations.

Project leader at IZBI: Dr. Nicola Vassena

Duration: 01.01.2023 – 31.12.2024

joint project third-party founding

Coordinator: Prof. Dr. Peter F. Stadler