6 papers
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…
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…
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…
Dynamic response phenotypes and model discrimination in systems and synthetic biology
Eduardo D. Sontag
Biological systems encode function not primarily in steady states, but in the structure of transient responses elicited by time-varying stimuli. Overshoots, biphasic dynamics, adap…
Dynamics and dose response in scaffold ligand binding
Eduardo D. Sontag
This paper considers systems in which two or more ligands bind independently to a common scaffold. Such systems arise in a range of applications, including immunotherapy and synthe…
A concept of antifragility for dynamical systems
Eduardo D. Sontag
This paper defines antifragility for dynamical systems as convexity of a newly introduced "logarithmic rate". It shows how to compute this rate for positive linear systems, and it…