6 citations · 10 across the 4 of their papers we have counts for
4 papers · 1 filter
Newton-Okounkov bodies of chemical reaction systems
Nida Obatake, Elise Walker
Despite their noted potential in polynomial-system solving, there are few concrete examples of Newton-Okounkov bodies arising from applications. Accordingly, in this paper, we intr…
Mixed volume of small reaction networks
Nida Obatake, Anne Shiu, Dilruba Sofia
An important invariant of a chemical reaction network is its maximum number of positive steady states. This number, however, is in general difficult to compute. Nonetheless, there…
Dynamics of ERK regulation in the processive limit
Carsten Conradi, Nida Obatake, Anne Shiu +1
We consider a model of extracellular signal-regulated kinase (ERK) regulation by dual-site phosphorylation and dephosphorylation, which exhibits bistability and oscillations, but l…
Oscillations and bistability in a model of ERK regulation
Nida Obatake, Anne Shiu, Xiaoxian Tang +1
This work concerns the question of how two important dynamical properties, oscillations and bistability, emerge in an important biological signaling network. Specifically, we consi…