1 citations · 1 across the 2 of their papers we have counts for
5 papers
Computationally Checking if a Reaction Network is Monotone or Non-expansive
Alon Duvall
We present a systematic procedure for testing whether reaction networks exhibit non-expansivity or monotonicity. This procedure identifies explicit norms under which a network is n…
A remark on omega limit sets for non-expansive dynamics
Alon Duvall, Eduardo D. Sontag
In this paper, we study systems of time-invariant ordinary differential equations whose flows are non-expansive with respect to a norm, meaning that the distance between solutions…
Interplay between Contractivity and Monotonicity for Reaction Networks
Alon Duvall, M. Ali Al-Radhawi, Dhruv D. Jatkar +1
We establish a new relationship between monotonicity and contractivity and use this connection to describe a new general class of weakly contractive reaction networks. The new clas…
Competition for binding targets results in paradoxical effects for simultaneous activator and repressor action -- Extended Version
M. Ali Al-Radhawi, Krishna Manoj, Dhruv D. Jatkar +3
In the context of epigenetic transformations in cancer metastasis, a puzzling effect was recently discovered, in which the elimination (knock-out) of an activating regulatory eleme…
Global exponential stability (and contraction of an unforced system) does not imply entrainment to periodic inputs
Alon Duvall, Eduardo Sontag
It is often of interest to know which systems will approach a periodic trajectory when given a periodic input. Results are available for certain classes of systems, such as contrac…