A reaction system exhibits “absolute concentration robustness”(ACR) in some species if the
positive steady-state value of that species does not depend on initial conditions …

Many reaction networks arising in applications are multistationary, that is, they have the
capacity for more than one steady state, while some networks exhibit absolute concentration …

For three typical sets of small reaction networks (networks with two reactions, one
irreversible and one reversible reaction, or two reversible-reaction pairs), we completely …

This is a chapter for a book in honor of Bernd Sturmfels and his contributions. We describe
the contributions by Bernd Sturmfels and his collaborators in harnessing algebraic and …

The steady-state degree of a chemical reaction network is the number of complex steady-
states for generic rate constants and initial conditions. One way to bound the steady-state …

Motivated by the question of how biological systems maintain homeostasis in changing
environments, Shinar and Feinberg introduced in 2010 the concept of absolute …

Chemical reaction network theory is a field of applied mathematics concerned with modeling
chemical systems, and can be used in other contexts such as in systems biology to study …

Motivated by the question of how biological systems maintain homeostasis in changing
environments, Shinar and Feinberg introduced in 2010 the concept of absolute …

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 …

Many real-world problems can be expressed as the solution set of polynomial equations.
Under these constraints, these problems are addressed using tools from (computational) …