6 problems

Consider the minimally bistable ERK subnetwork, and let a compatibility class be determined by the conserved quantities of the reaction system. Three-steady-state conjecture. For e…

Let $p_k$ and $p_{\ell}$ be the kinase and phosphatase processivity levels, respectively, and consider oscillations arising from Hopf bifurcations in the ERK system. Oscillation-da…

Let the reduced ERK network be the processive-limit reduction of the original ERK network, and consider the theorem asserting Hopf bifurcations for all processivity levels sufficie…

Let $p_k$ and $p_{\ell}$ be the two processivity levels, and let the multistationarity interval be the interval of parameter values for which multistationarity occurs. Vanishing-in…

Let $p_k$ and $p_{\ell}$ denote the kinase and phosphatase processivity levels, respectively, and let the multistationarity interval be the interval of values of the relative total…

Bistability at all processivity levels. For every choice of $p_k,p_{\ell}\in(0,1)$, there is such a rate-constant vector for which the resulting system admits multiple exponentiall…