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math.DS2026
Global stability of Michaelis-Menten networks
Eduardo D. Sontag
In a very nice paper, Blanchini, Breda, Giordano and Liessi studied networks of species coupled through Michaelis-Menten interactions. Under standard assumptions of strong connecte…
math.DS2026
A note on bistability of a two-gene competitive system
Eduardo D. Sontag
Self-regulation together with mutual promoter competition provides a simple mechanism for bistability in gene-regulatory models. We study a two-gene system with regulatory terms of…
eess.SY2026
Some intuition for why cooperative systems "look 1-dimensional" and 2-cooperative systems "look 2-dimensional"
Eduardo D. Sontag
It is known that cooperative systems, and more generally systems monotone with respect to cones, behave under appropriate irreducibility conditions like one-dimensional systems, as…