One of four dual-site futile cycle networks with bifunctional enzymes exhibits simultaneous bistability and absolute concentration robustness in the final modification state, allowing two stable steady states with identical final product concentration but different intermediates.
Stability in reaction network models via an extension of the next generation matrix method
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.DS 2years
2026 2roles
background 1polarities
background 1representative citing papers
For multi-strain epidemic models with independent rank-one transmission blocks, explicit Lyapunov functions prove competitive exclusion: generically one strain persists, coexistence only on lower-dimensional tie surfaces.
citing papers explorer
-
Bistability, Absolute Concentration Robustness, and Hysteresis in Dual-Site Futile Cycles with Bifunctional Enzymes
One of four dual-site futile cycle networks with bifunctional enzymes exhibits simultaneous bistability and absolute concentration robustness in the final modification state, allowing two stable steady states with identical final product concentration but different intermediates.
-
A Perron-Volterra Lyapunov function for mathematical epidemiology reaction networks (MERN) with non-interacting rank-one strains
For multi-strain epidemic models with independent rank-one transmission blocks, explicit Lyapunov functions prove competitive exclusion: generically one strain persists, coexistence only on lower-dimensional tie surfaces.