Abstract
Due to the intrinsic uncertainty and variability affecting biochemical reaction networks, it is fundamental to assess their structural stability, i.e., to establish if all the networks having a given structure are stable independent of specific parameter values. For basic motifs in biochemical networks, we show that stability cannot be structurally proved by quadratic Lyapunov functions. However, structural stability of these motifs can be shown resorting to piecewise-linear Lyapunov functions, based on the results by Blanchini and Giordano (2014), who provide a theoretical framework and efficient numerical methods to evaluate structural stability of biochemical reaction networks with monotone reaction rates.
Original language | English |
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Pages (from-to) | 278-283 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 28 |
Issue number | 14 |
DOIs | |
Publication status | Published - 1 Jul 2015 |
Externally published | Yes |
Keywords
- Biochemical networks
- Biochemical systems
- Graph
- Piecewise-linear Lyapunov functions
- Quadratic Lyapunov functions
- Structural stability