From the 1 of 4 linked papers with an AI index.
4 papers
Some intuition for why cooperative systems "look 1-dimensional" and 2-cooperative systems "look 2-dimensional"
Eduardo D. Sontag
The paper offers geometric intuition for why cooperative (monotone) systems behave like one-dimensional systems and two‑cooperative systems behave like two-dimensional systems, usi…
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…
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…
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…