Structural stability of biochemical reaction networks

2023. 04. 11. 17:15
Giulia Giordano (Trento)

Biochemical reaction networks often exhibit properties and emerging behaviours that are exclusively due to the system structure (namely, its stoichiometry along with qualitative assumptions) and are independent of parameter values, which are often uncertain, unknown, or time-varying. We offer an overview of Lyapunov-based approaches to structurally assess the stability and stabilizability of biochemical reaction networks with generic monotonic reaction rate functions. We also consider the special case of biochemical networks with Michaelis-Menten interconnections and we show that they are structurally stable regardless of the network topology, even in the presence of delays.

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