Posttranslational modification of proteins is important for signal transduction, and hence
significant effort has gone toward understanding how posttranslational modification …

We give necessary and sufficient conditions in terms of sign vectors for the injectivity of
families of polynomial maps with arbitrary real exponents defined on the positive orthant …

Many dynamical systems arising in biology and other areas exhibit multistationarity (two or
more positive steady states with the same conserved quantities). Although deciding …

Biological systems are acknowledged to be robust to perturbations but a rigorous
understanding of this has been elusive. In a mathematical model, perturbations often exert …

Given a real sparse polynomial system, we present a general framework to find explicit
coefficients for which the system has more than one positive solution. Our approach is based …

Many biochemical and industrial applications involve complicated networks of
simultaneously occurring chemical reactions. Under the assumption of mass action kinetics …

Multisite phosphorylation plays an important role in intracellular signaling. There has been
much recent work aimed at understanding the dynamics of such systems when the …

We present conditions which guarantee a parametrization of the set of positive equilibria of a
generalized mass-action system. Our main results state that (1) if the underlying generalized …

We apply tools from real algebraic geometry to the problem of multistationarity of chemical
reaction networks. A particular focus is on the case of reaction networks whose steady states …

The distributive sequential n-site phosphorylation/dephosphorylation system is an important
building block in networks of chemical reactions arising in molecular biology, which has …