3 papers
math.DS2025
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…
math.DS2025
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…
q-bio.MN2024
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…